{
  "chapter_id": 1,
  "chapter_title": "ગણ",
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      "section_title": "Long Questions (પ્રશ્નોત્તર)",
      "heading_text": "Long Questions (પ્રશ્નોત્તર)",
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      "questions": [
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          "sequence_no": 1,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-5\">\tMk{efhý <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold\"> + </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> – 2 = 0</span>Lkk Wfu÷økýLku ÞkËeLke heíku  ÷¾ku.</div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ynª,\t<span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">+</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">–</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">2</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">0</span><span class=\"Normal-English\"> </span></div>\n<div class=\"Normal\"><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∴</span><span class=\"Normal-English\">\t(</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> + 2) (</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> – 1) = 0</span></div>\n<div class=\"Normal\"><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∴</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> + 2 = 0 </span><span lang=\"en-US\">yÚkðk </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-US\">x</span><span class=\"Normal-English\" lang=\"en-US\"> – 1 = 0</span></div>\n<div class=\"Normal\"><span class=\"Normal-English\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-US\">∴</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-US\">x</span><span class=\"Normal-English\" lang=\"en-US\"> = –2 </span><span lang=\"en-US\">yÚkðk </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-US\">x</span><span class=\"Normal-English\" lang=\"en-US\"> = 1</span></div>\n<div class=\"Normal\"><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-US\">\t∴</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span lang=\"en-US\">Wfu÷økýLku ÞkËeLke heíku </span><span class=\"Normal-English\" lang=\"en-US\">{–2, 1} </span><span lang=\"en-US\">ðzu ËþkoðkÞ Au.</span></div>",
          "type": "SUB",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
          "images": [],
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            "source_class": "Quest idf9ef215b7-ParaOverride-5",
            "source_number": "1",
            "original_raw_text": "\tMk{efhý x2 + x – 2 = 0Lkk Wfu÷økýLku ÞkËeLke heíku  ÷¾ku.",
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            "deduction_level": 0,
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            "section": "Long Questions (પ્રશ્નોત્તર)",
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        {
          "sequence_no": 2,
          "question_text": "<div class=\"Quest\">\tøký <span class=\"Normal-English-Bold\">{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span>yu ÄLk ÃkqýkOf MktÏÞk Au yLku <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold\"> &lt; 40</span><span class=\"Normal-English\">} </span>Lku ÞkËeLke heíku ÷¾ku.</div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ynª, ykÃkýu yuðe ÄLk ÃkqýkOf MktÏÞk þkuÄðe Au su{Lkku ðøko <span class=\"Normal-English\">40</span><span class=\"Normal-English\"> </span>fhíkk LkkLkku nkuÞ.</div>\n<div class=\"Normal\">\tsu{ fu, <span class=\"Normal-English\">1, 2, 3, 4, 5, 6 </span><span lang=\"en-US\">Lkku ðøko </span><span class=\"Normal-English\" lang=\"en-US\">40 </span><span lang=\"en-US\">fhíkkt LkkLkku nkuÞ. íkuÚke ykÃku÷ økýLku </span><span class=\"Normal-English\" lang=\"en-US\">{1, 2, 3, 4, 5, 6} </span><span lang=\"en-US\">ðzu ËþkoðkÞ Au.</span></div>",
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          "correct_option": null,
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            "source_number": "2",
            "original_raw_text": "\tøký {x : x yu ÄLk ÃkqýkOf MktÏÞk Au yLku x2 &lt; 40} Lku ÞkËeLke heíku ÷¾ku.",
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            "section": "Long Questions (પ્રશ્નોત્તર)",
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        {
          "sequence_no": 3,
          "question_text": "<div class=\"Quest\">\tøký <span class=\"Normal-English-Bold\">A = {1, 4, 9, 16, 25, .....}</span><span class=\"Normal-English\"> </span>Lku økwýÄ{oLke heíku ÷¾ku.</div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ynª, ykÃkýLku øký <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span>{kt «kf]ríkf MktÏÞkLkk ðøko ykÃku÷k Au. {kxu ykÃku÷k økýLku, </div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English\">A = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> : </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span>yu «kf]ríkf MktÏÞkLkku ðøko Au.<span class=\"Normal-English\">} </span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-3\">yÚkðk </div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English\">A = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> : </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> = </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">n </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">N</span><span class=\"Normal-English\">} </span>ðzu Ãký ÷¾e þfkÞ Au.</div>",
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            "source_class": "Quest",
            "source_number": "3",
            "original_raw_text": "\tøký A = {1, 4, 9, 16, 25, .....} Lku økwýÄ{oLke heíku ÷¾ku.",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "section": "Long Questions (પ્રશ્નોત્તર)",
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          "sequence_no": 4,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\">\tøký <img alt=\"\" class=\"_idGenObjectAttribute-3\" src=\"Chapter1/EQ-1105-135839.png\"/> Lku økwýÄ{oLke heíku Ëþkoðku.</div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-7\">ynª, òuE þfkÞ Au fu Ëhuf ½xfLkku ytþ íkuLkk AuËÚke <span class=\"Normal-English\">1</span><span class=\"Normal-English\"> </span>sux÷ku LkkLkku Au íkÚkk ytþ ykuAk{kt ykuAku <span class=\"Normal-English\">1</span><span class=\"Normal-English\"> </span>yLku ðÄw{kt ðÄw <span class=\"Normal-English\">6</span><span class=\"Normal-English\"> </span>Au. {kxu ykÃku÷ økýLku,</div>\n<div class=\"Normal idf9ef215b7-ParaOverride-8\"> <span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> : </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> = <img alt=\"\" class=\"_idGenObjectAttribute-4\" src=\"Chapter1/EQ-1011-174439.png\"/>, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">n</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">N</span><span class=\"Normal-English\">, 1 </span><span class=\"Normal-English idf9ef215b7-CharOverride-10\">&lt;</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">n</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-10\">&lt;</span><span class=\"Normal-English\"> 6} </span><span lang=\"en-US\">ðzu Ëþkoðe þfkÞ.</span></div>\n<div class=\"Quest-copy-2\"></div>",
          "type": "SUB",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
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            {
              "id": "img-0",
              "path": "Chapter1/EQ-1105-135839.png",
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              "context": "4. øký Lku økwýÄ{oLke heíku Ëþkoðku."
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              "id": "img-1",
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              "context": "{ x : x = , n ∈ N , 1 < n < 6} ðzu Ëþkoðe þfkÞ."
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            "source_class": "Quest idf9ef215b7-ParaOverride-6",
            "source_number": "4",
            "original_raw_text": "\tøký  Lku økwýÄ{oLke heíku Ëþkoðku.",
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          "sequence_no": 5,
          "question_text": "<div class=\"Quest\">\tLke[uLkk{ktÚke fÞk Mk{qn øký Ëþkoðu Au ? ík{khku sðkçk [fkMkku.</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English-Bold\">(i)\tJ</span><span class=\"Normal-English\"> </span>Úke þY Úkíkk ytøkúuS fì÷uLzhLkk ð»koLkk ík{k{ {rnLkkykuLkku Mk{qn.</div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">yk Mk{qn øký Ëþkoðu Au fkhý fu <span class=\"Normal-English\">J</span><span class=\"Normal-English\"> </span>Úke þY Úkíkk ytøkúuS fì÷uLzhLkk {rnLkkyku <span class=\"Normal-English\">January,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">June</span><span class=\"Normal-English\"> </span>yLku <span class=\"Normal-English\">July</span><span class=\"Normal-English\"> </span>Au. yk{, yk Mk{qn MkwÔÞkÏÞkrÞík Au.</div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(ii)</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">¼khíkLkk ËMk yrík «rík¼kþk¤e ÷u¾fkuLkku Mk{qn.</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">yk Mk{qn øký Ëþkoðíkku LkÚke fkhý fu «rík¼kþk¤e ÷u¾f {kxuLkku yr¼«kÞ ÔÞÂõíkyu ÔÞÂõíkyu çkË÷kíkku nkuðkÚke íku MkwÔÞkÏÞkrÞík LkÚke.</div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(iii)</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">ËwrLkÞkLkk r¢fuxLkk W¥k{ yrøkÞkh çkìxTMk{uLkkuLke xe{.</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">yk Mk{qn øký Ëþkoðíkku LkÚke fkhý fu W¥k{ çkìxTMk{uLk {kxuLkku yr¼«kÞ ÔÞÂõíkyu ÔÞÂõíkyu çkË÷kÞ {kxu íku MkwÔÞkÏÞkrÞík LkÚke.</div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(iv)</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">ík{khk ðøkoLkk çkÄk s AkufhkykuLkku Mk{qn.</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">yk Mk{qn øký Au fkhý fu AkufhkykuLkku Mk{qn MkwÔÞkÏÞkrÞík Au.</div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(v)\t100</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">Úke LkkLke çkÄe s «kf]ríkf MktÏÞkykuLkku Mk{qn.</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">yk Mk{qn øký Ëþkoðu Au fkhý fu <span class=\"Normal-English\">100</span><span class=\"Normal-English\"> </span>Úke LkkLke çkÄe s «kf]ríkf MktÏÞkyku MkwÔÞkÏÞkrÞík Au su{ fu <span class=\"Normal-English\">1,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">2,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">3,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">.....,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">99.</span></div>\n<div class=\"Quest\"><span class=\"Normal-English idf9ef215b7-CharOverride-4\">(vi)</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">÷u¾f {wLþe «u{[tËu ÷¾u÷e çkÄe s Lkð÷fÚkkykuLkku Mk{qn.</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">yk Mk{qn øký Au fkhý fu {wLþe «u{[tËu ÷¾u÷e çkÄe s Lkð÷fÚkkykuLkku Mk{qn MkwÔÞkÏÞkrÞík Au.</div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(vii)</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">çkÄk s Þwø{ ÃkqýkOfkuLkku Mk{qn.</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">yk Mk{qn øký Au fkhý fu çkÄk s Þwø{ ÃkqýkOfku MkwÔÞkÏÞkrÞík Au.</div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(viii)</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">yk «fhýLkk çkÄk s «§kuLkku Mk{qn.</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">yk Mk{qn øký Au fkhý fu yk «fhýLkk çkÄk s «§kuLkku Mk{qn MkwÔÞkÏÞkrÞík Au.</div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(ix)</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">ËwrLkÞkLkkt ¾qçk s ¼ÞkLkf «kýeykuLkku Mk{qn.</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">yk Mk{qn øký Ëþkoðíkku LkÚke fkhý fu ËwrLkÞkLkkt ¼ÞkLkf «kýeyku rðþuLkku yr¼«kÞ ÔÞÂõíkyu ÔÞÂõíkyu çkË÷kíkku nkuÞ Au.</div>",
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            "original_raw_text": "\tLke[uLkk{ktÚke fÞk Mk{qn øký Ëþkoðu Au ? ík{khku sðkçk [fkMkku.\n(i)\tJ Úke þY Úkíkk ytøkúuS fì÷uLzhLkk ð»koLkk ík{k{ {rnLkkykuLkku Mk{qn.",
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          "question_text": "<div class=\"Quest\"> <span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">A = {1, 2, 3, 4, 5, 6}</span><span class=\"Normal-English\"> </span>÷ku íkÚkk ¾k÷e søÞk{kt ÞkuøÞ Mkt¿kk <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span>yÚkðk <span class=\"Normal-English idf9ef215b7-CharOverride-2\">∉</span><span class=\"Normal-English\"> </span>{qfku.</div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"> <span class=\"Normal-English\">(i)</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">5</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-12\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">A</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-16\"><span class=\"Normal-English\">\t(ii)\t8 </span><span class=\"Normal-English idf9ef215b7-CharOverride-12\">∉</span><span class=\"Normal-English\"> A\t</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-16\"><span class=\"Normal-English\">\t(iii)\t0 </span><span class=\"Normal-English idf9ef215b7-CharOverride-12\">∉</span><span class=\"Normal-English\"> A</span></div>\n<div class=\"Normal idf9ef215b7-ParaOverride-16\"><span class=\"Normal-English\" lang=\"en-US\">\t(iv)\t4 </span><span class=\"Normal-English idf9ef215b7-CharOverride-12\" lang=\"en-US\">∈</span><span class=\"Normal-English\" lang=\"en-US\"> A\t</span></div>\n<div class=\"Normal idf9ef215b7-ParaOverride-16\"><span class=\"Normal-English\" lang=\"en-US\">\t(v)\t2 </span><span class=\"Normal-English idf9ef215b7-CharOverride-12\" lang=\"en-US\">∈</span><span class=\"Normal-English\" lang=\"en-US\"> A</span></div>\n<div class=\"Normal idf9ef215b7-ParaOverride-16\"><span class=\"Normal-English\" lang=\"en-US\">\t(vi)\t10 </span><span class=\"Normal-English idf9ef215b7-CharOverride-12\" lang=\"en-US\">∉</span><span class=\"Normal-English\" lang=\"en-US\"> A</span></div>",
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            "original_raw_text": "  A = {1, 2, 3, 4, 5, 6} ÷ku íkÚkk ¾k÷e søÞk{kt ÞkuøÞ Mkt¿kk ∈ yÚkðk ∉ {qfku.",
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          "sequence_no": 7,
          "question_text": "<div class=\"Quest\"> <span class=\"Normal-English\"> </span>Lke[uLkk økýkuLku ÞkËeLke heíku ÷¾ku :</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\"><span class=\"Normal-English-Bold\">(i)\tA = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\"> </span><span lang=\"en-US\">yu ÃkqýkOf Au yLku </span><span class=\"Normal-English-Bold\" lang=\"en-US\">–3 &lt; </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\" lang=\"en-US\">x</span><span class=\"Normal-English-Bold\" lang=\"en-US\"> &lt; 7}</span></div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ynª, ykÃkýu Võík <span class=\"Normal-English\">–3</span><span class=\"Normal-English\"> </span>yLku <span class=\"Normal-English\">7</span><span class=\"Normal-English\"> </span>ðå[uLke s ÃkqýkOf MktÏÞkyku ÷¾ðe Au.</div>\n<div class=\"Normal\"><span lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-US\">∴</span><span class=\"Normal-English\" lang=\"en-US\"> A = {–2, –1, 0 , 1, 2, 3, 4, 5, 6}</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(ii)\tB = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span>yu <span class=\"Normal-English-Bold\">6</span><span class=\"Normal-English\"> </span>fhíkkt LkkLke «kf]ríkf MktÏÞk Au.<span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∴</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{1,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">2,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">3,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">4,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">5}</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(iii)\tC = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span>yu suLkk ytfkuLkku Mkhðk¤ku <span class=\"Normal-English-Bold\">8</span><span class=\"Normal-English\"> </span>Úkíkku nkuÞ íkuðe çku ytfkuLke MktÏÞk Au.<span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∴</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">C</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{17,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">26,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">35,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">44,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">53,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">62,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">71,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">80}</span></div>\n<div class=\"Normal\"><span class=\"Normal-English\" lang=\"en-US\"> </span>fkhý fu, <span class=\"Normal-English\">1 + 7 = 8, 2 + 6 = 8 </span><span lang=\"en-US\">ðøkuhu.</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(iv)\tD = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span>yu <span class=\"Normal-English-Bold\">60</span><span class=\"Normal-English\"> </span>Lkku ÄLk yðÞð nkuÞ íkuðe yrð¼kßÞ MktÏÞk Au.<span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\"> </span>ynª, <span class=\"Normal-English\">60</span><span class=\"Normal-English\"> </span>Lkk fw÷ ÄLk yðÞð <span class=\"Normal-English\">1,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">2,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">3,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">4,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">5,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">6,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">10,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">12,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">15,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">20,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">30,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">60</span><span class=\"Normal-English\"> </span>Au. íku{ktÚke yrð¼kßÞ <span class=\"Normal-English\">2,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">3,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">5</span><span class=\"Normal-English\"> </span>Au.</div>\n<div class=\"Normal\"> <span class=\"Normal-English idf9ef215b7-CharOverride-2\">∴</span><span class=\"Normal-English\"> D = {2, 3, 5}</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(v)\tE = TRIGONOMETRY</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">þçËLkk {q¤kûkhkuLkku øký.</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\"> </span><span class=\"Normal-English\">E</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{T,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">R,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">I,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">G,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">O,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">N,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">M,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">E,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">Y}</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(vi)\tF = BETTER</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">þçËLkk {q¤kûkhkuLkku øký.</span></div>\n<div class=\"Normal\"><span lang=\"en-US\"> </span><span class=\"Normal-English\" lang=\"en-US\">F = {B, E, T, R}</span></div>",
          "type": "SUB",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "3",
            "original_raw_text": "  Lke[uLkk økýkuLku ÞkËeLke heíku ÷¾ku :\n(i)\tA = {x : x yu ÃkqýkOf Au yLku –3 &lt; x &lt; 7}",
            "marks": 0,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "section": "Long Questions (પ્રશ્નોત્તર)",
            "section_id": ""
          }
        },
        {
          "sequence_no": 8,
          "question_text": "<div class=\"Quest\"> <span class=\"Normal-English\"> </span>Lke[uLkk økýkuLku økwýÄ{oLke heíku ÷¾ku :</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\"><span class=\"Normal-English-Bold\">(i)\t{3, 6, 9, 12} = A</span></div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\"> </span>ynª, øký{kt ykÃku÷e MktÏÞkyku <span class=\"Normal-English\">3</span><span class=\"Normal-English\"> </span>Lke økwýf Au.</div>\n<div class=\"Normal\"> <span class=\"Normal-English idf9ef215b7-CharOverride-2\">∴</span><span class=\"Normal-English\"> A = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> : </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> = 3</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">n</span><span class=\"Normal-English\">, 1 </span><span class=\"Normal-English idf9ef215b7-CharOverride-10\">&lt;</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">n</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-10\">&lt;</span><span class=\"Normal-English\"> 4, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">n</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">N</span><span class=\"Normal-English\">}</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(ii)\tB = {2, 4, 8, 16, 32}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\"> </span>ynª, øký{kt ykÃku÷e MktÏÞkyku <span class=\"Normal-English\">2</span><span class=\"Normal-English\"> </span>Lke ½kíkLkk MðYÃk{kt Au.</div>\n<div class=\"Normal\"> <span class=\"Normal-English idf9ef215b7-CharOverride-2\">∴</span><span class=\"Normal-English\"> B = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> : </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> = 2</span><span class=\"Normal-English idf9ef215b7-CharOverride-13\">n</span><span class=\"Normal-English\">, 1 </span><span class=\"Normal-English idf9ef215b7-CharOverride-10\">&lt;</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">n</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-10\">&lt;</span><span class=\"Normal-English\"> 5, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">n</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">N</span><span class=\"Normal-English\">}</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(iii)\tC = {5, 25, 125, 625}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ynª, øký{kt ykÃku÷e MktÏÞkyku <span class=\"Normal-English\">5</span><span class=\"Normal-English\"> </span>Lke ½kíkLkk MðYÃk{kt Au. {kxu, <span class=\"Normal-English\">C</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">:</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">5</span><span class=\"Normal-English idf9ef215b7-CharOverride-13\">n</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">1</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-10\">&lt;</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">n</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-14\">&lt;</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">4,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">n</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-GB\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">N</span><span class=\"Normal-English\">}</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(iv)\t{2, 4, 6,.....} = D</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ynª, øký{kt ykÃku÷ MktÏÞkyku <span class=\"Normal-English\">2</span><span class=\"Normal-English\"> </span>Lke økwýf (Þwø{ «kf]ríkf MktÏÞkyku) Au íkÚkk yk yLktík MkwÄe Au.</div>\n<div class=\"Normal\"> <span class=\"Normal-English idf9ef215b7-CharOverride-2\">∴</span><span class=\"Normal-English\"> D = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\"><img alt=\"\" class=\"_idGenObjectAttribute-7\" src=\"Chapter1/5.png\"/></span><span class=\"Normal-English\"> : </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> = 2</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">n</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">n</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">N</span><span class=\"Normal-English\">}</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(v)\t{1, 4, 9,....., 100} = E </span><span class=\"Normal-English idf9ef215b7-CharOverride-15\" lang=\"en-US\"> </span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\"> </span>ynª, øký{kt ykÃku÷e MktÏÞkyku Ãkqýoðøko «kf]ríkf MktÏÞkyku Au.</div>\n<div class=\"Normal\">\tsu{ fu, </div>\n<div class=\"Normal\"> <span class=\"Normal-English\">(1)</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English\"> = 1, (2)</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English\"> = 4, (3)</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English\"> = 9, ....., </span><span class=\"Normal-English\">(10)</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English\"> = 100</span></div>\n<div class=\"Normal idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∴</span><span class=\"Normal-English\">\tE = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> : </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> = </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English\">, 1 </span><span class=\"Normal-English idf9ef215b7-CharOverride-10\">&lt;</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">n</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-10\">&lt;</span><span class=\"Normal-English\"> 10, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">n</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">N</span><span class=\"Normal-English\">}</span></div>",
          "type": "SUB",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
          "images": [
            {
              "id": "img-0",
              "path": "Chapter1/5.png",
              "position": "answer",
              "context": "∴ D = { : x = 2 n , n ∈ N }"
            }
          ],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "4",
            "original_raw_text": "  Lke[uLkk økýkuLku økwýÄ{oLke heíku ÷¾ku :\n(i)\t{3, 6, 9, 12} = A",
            "marks": 0,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "section": "Long Questions (પ્રશ્નોત્તર)",
            "section_id": ""
          }
        },
        {
          "sequence_no": 9,
          "question_text": "<div class=\"Quest\"> <span class=\"Normal-English\"> </span>Lke[uLkk økýLkk çkÄk s ½xfku ÷¾ku.</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\"><span class=\"Normal-English-Bold\">(i)\tA = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span>yu yÞwø{ «kf]ríkf MktÏÞk Au.<span class=\"Normal-English-Bold\">}</span></div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\"> </span><span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{1,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">3,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">5,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">7,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">9,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">.....}</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(ii)\tB = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span>yu ÃkqýkOf Au, <img alt=\"\" class=\"_idGenObjectAttribute-8\" src=\"Chapter1/EQ-1105-143726.png\"/><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">&lt; </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> &lt;</span><span class=\"Normal-English\"> <img alt=\"\" class=\"_idGenObjectAttribute-9\" src=\"Chapter1/EQ-1105-143752.png\"/></span><span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-18\">ynª, <img alt=\"\" class=\"_idGenObjectAttribute-8\" src=\"Chapter1/EQ-1012-102934.png\"/><span class=\"Normal-English\"> </span><span class=\"Normal-English\">&lt;</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">&lt;</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\"><img alt=\"\" class=\"_idGenObjectAttribute-9\" src=\"Chapter1/EQ-1012-102945.png\"/></span><span class=\"Normal-English\"> </span>Lku <span class=\"Normal-English\">–0.5</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">&lt;</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">&lt;</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">4.5</span><span class=\"Normal-English\"> </span>ðzu Ëþkoðíkk ynª, <span class=\"Normal-English\">–0.5</span><span class=\"Normal-English\"> </span>yLku <span class=\"Normal-English\">4.5</span><span class=\"Normal-English\"> </span>ðå[uLke ÃkqýkOf MktÏÞkyku ËþkoððkLke Au.</div>\n<div class=\"Normal\"> <span class=\"Normal-English idf9ef215b7-CharOverride-2\">∴</span><span class=\"Normal-English\"> B = {0, 1, 2, 3, 4}</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(iii)\tC = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">yu Ãkqýk</span><span lang=\"en-US\">Of Au, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\" lang=\"en-US\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\" lang=\"en-US\">2</span><span class=\"Normal-English-Bold\" lang=\"en-US\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-10\" lang=\"en-US\">&lt;</span><span class=\"Normal-English-Bold\" lang=\"en-US\"> 4</span><span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\"> </span>ynª, yuðe ÃkqýkOf MktÏÞk ÷uðe Au fu su{Lkku ðøko <span class=\"Normal-English\">4</span><span class=\"Normal-English\"> </span>yLku <span class=\"Normal-English\">4</span><span class=\"Normal-English\"> </span>fhíkkt LkkLkku ÚkkÞ.</div>\n<div class=\"Normal\"> <span class=\"Normal-English idf9ef215b7-CharOverride-2\">∴ </span><span class=\"Normal-English\">C = {–2, –1, 0, 1, 2}</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(iv)\tD = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">yu </span><span class=\"Normal-English-Bold\" lang=\"en-US\">“LOYAL”</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span lang=\"en-US\">þçËLkku {q¤kûkh Au.</span><span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\"> </span><span class=\"Normal-English\">D</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{L,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">O,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">Y,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">A}</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(v)\tE = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">yu ð»koLkku </span><span class=\"Normal-English-Bold\" lang=\"en-US\">31</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span lang=\"en-US\">rËðMkLkku Lk nkuÞ íkuðku </span><span lang=\"en-US\">{rnLkku Au.</span><span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\"> </span><span class=\"Normal-English\">E</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{</span>Vuçkúwykhe, yur«÷, sqLk, MkÃxuBçkh, LkðuBçkh<span class=\"Normal-English\">}</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(vi)\tF = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">yu ytøkúuS {q¤kûkhkuLke ¢{kLkwMkkh ÞkËe{kt </span><span class=\"Normal-English-Bold\" lang=\"en-US\">K</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span lang=\"en-US\">Ãknu÷kLkku ÔÞtsLk</span><span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\"> </span><span class=\"Normal-English\">F</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">b</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">c</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">d</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">f</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">g</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">h</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">j</span><span class=\"Normal-English\">}</span></div>",
          "type": "SUB",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
          "images": [
            {
              "id": "img-0",
              "path": "Chapter1/EQ-1105-143726.png",
              "position": "answer",
              "context": "(ii)\tB = { x : x yu ÃkqýkOf Au, < x < }"
            },
            {
              "id": "img-1",
              "path": "Chapter1/EQ-1105-143752.png",
              "position": "answer",
              "context": "(ii)\tB = { x : x yu ÃkqýkOf Au, < x < }"
            },
            {
              "id": "img-2",
              "path": "Chapter1/EQ-1012-102934.png",
              "position": "answer",
              "context": "ynª, < x < Lku –0.5 < x < 4.5 ðzu Ëþkoðíkk ynª, –0.5 yLku 4.…"
            },
            {
              "id": "img-3",
              "path": "Chapter1/EQ-1012-102945.png",
              "position": "answer",
              "context": "ynª, < x < Lku –0.5 < x < 4.5 ðzu Ëþkoðíkk ynª, –0.5 yLku 4.…"
            }
          ],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "5",
            "original_raw_text": "  Lke[uLkk økýLkk çkÄk s ½xfku ÷¾ku.\n(i)\tA = {x : x yu yÞwø{ «kf]ríkf MktÏÞk Au.}",
            "marks": 0,
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            "source_html": "Chapter1",
            "section": "Long Questions (પ્રશ્નોત્તર)",
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        {
          "sequence_no": 10,
          "question_text": "<div class=\"Quest\"> <span class=\"Normal-English\"> </span>zkçke çkkswyu ÞkËeLke heíku Ëþkoðu÷k økýkuLku s{ýe çkkswyu íkuLkk s økwýÄ{oLke heíku Ëþkoðu÷k økýku MkkÚku Mkktf¤ku.</div>",
          "answer_text": "<div class=\"Normal\"> <span class=\"idf9ef215b7-CharOverride-11\">sðkçkku :\t</span><span class=\"Normal-English\">(i) </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">→</span><span class=\"Normal-English\"> (c)\t(ii) </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">→</span><span class=\"Normal-English\"> (a) </span></div>\n<div class=\"Normal\"><span class=\"Normal-English\">\t\t(iii) </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">→</span><span class=\"Normal-English\"> (d)\t(iv) </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">→</span><span class=\"Normal-English\"> (b)</span></div>\n<div class=\"Summary_Style idf9ef215b7-ParaOverride-1\">su øký yuf Ãký ½xf Ähkðíkku Lk nkuÞ íku{Lku ¾k÷e øký yÚkðk rhõík øký fnu Au.</div>\n<div class=\"Summary_Style idf9ef215b7-ParaOverride-1\">¾k÷e økýLku Mktfuík{kt <span class=\"Normal-English idf9ef215b7-CharOverride-2\">φ</span><span class=\"Normal-English idf9ef215b7-CharOverride-2\"> </span>yÚkðk <span class=\"Normal-English\">{}</span><span class=\"Normal-English\"> </span>ðzu ËþkoðkÞ Au.</div>\n<div class=\"Normal-copy\">\tWËknhý : øký <span class=\"Normal-English\">A = </span><span lang=\"en-US\">Éý «kf]ríkf MktÏÞkykuLkku øký.</span></div>\n<div class=\"Normal-copy\"><span lang=\"en-US\">\tynª, fkuE Ãký «kf]ríkf MktÏÞk nt{uþkt ÄLk s nkuÞ {kxu fkuE Éý «kf]ríkf MktÏÞkLkwt yÂMíkíð LkÚke. {kxu yk øký{kt fkuE MkÇÞ Lk nkuðkÚke íku ¾k÷e øký Au.</span></div>\n<div class=\"Summary_Style idf9ef215b7-ParaOverride-1\">su øký{kt MkÇÞkuLke MktÏÞk rLkrùíkÃkýu økýe þfkÞ íkuðe nkuÞ yÚkðk su øký ¾k÷e Lk nkuÞ íkuLku yrhõík MkkLík øký fnu Au.</div>\n<div class=\"Summary_Style idf9ef215b7-ParaOverride-1\"><span lang=\"en-GB\"> </span><span lang=\"en-GB\">WËknhý</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">:</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">¼khík{kt</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">ykðu÷k</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">ík{k{</span><span lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">IIT</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span lang=\"en-GB\">Lkku</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">øký</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">yu</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">MkkLík</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">øký</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Au.</span></div>\n<div class=\"Summary_Style idf9ef215b7-ParaOverride-1\">MkkLík Lk nkuÞ íkuðk økýLku yLktík øký fnu Au. yLktík øký{kt MkÇÞ MktÏÞk Mker{ík LkÚke. íkuÚke yLktík økýLku ÞkËeLke heíku Ëþkoððk {kxu íku øký{kt ykðíkk y{wf MkÇÞku ÷¾eLku ºký xÃkfkt (...) {qfðk{kt ykðu Au.</div>\n<div class=\"Normal-copy\">\tWËknhý : øký :\t<span class=\"Normal-English\">A = </span>Ãkqýo MktÏÞkykuLkku øký</div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English idf9ef215b7-CharOverride-2\">∴</span><span class=\"Normal-English\">\tA = {0, 1, 2, 3,...}</span></div>\n<div class=\"Summary_Style idf9ef215b7-ParaOverride-1\">òu çku øký <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span>yLku<span class=\"Normal-English\"> </span><span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span>çktLkuLkk ½xfku Mk{kLk nkuÞ <br/>(¢{Lkwt {n¥ð LkÚke) íkku íkuðk økýLku Mk{kLk økýku <br/>fnu Au.</div>\n<div class=\"Summary_Style idf9ef215b7-ParaOverride-1\">íku{Lku Mktfuík{kt <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span>ðzu ËþkoðkÞ Au.</div>\n<div class=\"Summary_Style idf9ef215b7-ParaOverride-1\"><span lang=\"en-GB\"> </span><span lang=\"en-GB\">WËknhý</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">:</span><span lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">A</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">=</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-GB\">a</span><span class=\"Normal-English\" lang=\"en-GB\">,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-GB\">e</span><span class=\"Normal-English\" lang=\"en-GB\">,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-GB\">i</span><span class=\"Normal-English\" lang=\"en-GB\">,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-GB\">o</span><span class=\"Normal-English\" lang=\"en-GB\">,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-GB\">u</span><span class=\"Normal-English\" lang=\"en-GB\">},</span><span class=\"Normal-English\" lang=\"en-GB\"> </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\">\t\t\tB = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">e</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">i</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">a</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">o</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">u</span><span class=\"Normal-English\">} </span><span lang=\"en-US\">ynª, </span><span class=\"Normal-English\" lang=\"en-US\">A = B </span><span lang=\"en-US\">Au.</span></div>",
          "type": "SUB",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
          "images": [],
          "tables": [
            {
              "id": "tbl-1",
              "rows": 4,
              "columns": 4,
              "raw_html": "<table class=\"Basic-Table TableOverride-2\" id=\"table003\">\n<colgroup>\n<col class=\"_idGenTableRowColumn-7\"/>\n<col class=\"_idGenTableRowColumn-11\"/>\n<col class=\"_idGenTableRowColumn-12\"/>\n<col class=\"_idGenTableRowColumn-13\"/>\n</colgroup>\n<tbody>\n<tr class=\"Basic-Table _idGenTableRowColumn-14\">\n<td class=\"Basic-Table CellOverride-4\">\n<p class=\"Quest idf9ef215b7-ParaOverride-10\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">(i)</span></p>\n</td>\n<td class=\"Basic-Table CellOverride-4\">\n<p class=\"Quest idf9ef215b7-ParaOverride-11\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">{1, 2, 3, 6}</span></p>\n</td>\n<td class=\"Basic-Table CellOverride-4\">\n<p class=\"Quest idf9ef215b7-ParaOverride-12\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">(a)</span></p>\n</td>\n<td class=\"Basic-Table CellOverride-5\">\n<p class=\"Quest idf9ef215b7-ParaOverride-11\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">yu yrð¼kßÞ MktÏÞk Au yLku </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-US\">6</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span lang=\"en-US\">Lkku yðÞð Au.</span><span class=\"Normal-English-Bold\">}</span></p>\n</td>\n</tr>\n<tr class=\"Basic-Table _idGenTableRowColumn-15\">\n<td class=\"Basic-Table CellOverride-4\">\n<p class=\"Quest idf9ef215b7-ParaOverride-10\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">(ii)</span></p>\n</td>\n<td class=\"Basic-Table CellOverride-4\">\n<p class=\"Quest idf9ef215b7-ParaOverride-11\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">{2, 3}</span></p>\n</td>\n<td class=\"Basic-Table CellOverride-4\">\n<p class=\"Quest idf9ef215b7-ParaOverride-12\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">(b)</span></p>\n</td>\n<td class=\"Basic-Table CellOverride-5\">\n<p class=\"Quest idf9ef215b7-ParaOverride-11\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">yu </span><span class=\"Normal-English-Bold\" lang=\"en-US\">10</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span lang=\"en-US\">fhíkkt LkkLke yÞwø{ «kf]ríkf MktÏÞk Au.</span><span class=\"Normal-English-Bold\">}</span></p>\n</td>\n</tr>\n<tr class=\"Basic-Table _idGenTableRowColumn-15\">\n<td class=\"Basic-Table CellOverride-4\">\n<p class=\"Quest idf9ef215b7-ParaOverride-10\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">(iii)</span></p>\n</td>\n<td class=\"Basic-Table CellOverride-4\">\n<p class=\"Quest idf9ef215b7-ParaOverride-11\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">{M, A, T, H, E, I, C, S}</span></p>\n</td>\n<td class=\"Basic-Table CellOverride-4\">\n<p class=\"Quest idf9ef215b7-ParaOverride-12\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">(c)</span></p>\n</td>\n<td class=\"Basic-Table CellOverride-5\">\n<p class=\"Quest idf9ef215b7-ParaOverride-11\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">yu «kf]ríkf MktÏÞk Au yLku </span><span class=\"Normal-English-Bold\" lang=\"en-US\">6</span><span lang=\"en-US\">Lkku yðÞð Au.</span><span class=\"Normal-English-Bold\">}</span></p>\n</td>\n</tr>\n<tr class=\"Basic-Table _idGenTableRowColumn-14\">\n<td class=\"Basic-Table CellOverride-5\">\n<p class=\"Quest idf9ef215b7-ParaOverride-10\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">(iv)</span></p>\n</td>\n<td class=\"Basic-Table CellOverride-5\">\n<p class=\"Quest idf9ef215b7-ParaOverride-11\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">{1, 3, 5, 7, 9}</span></p>\n</td>\n<td class=\"Basic-Table CellOverride-4\">\n<p class=\"Quest idf9ef215b7-ParaOverride-12\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">(d)</span></p>\n</td>\n<td class=\"Basic-Table CellOverride-5\">\n<p class=\"Quest idf9ef215b7-ParaOverride-19\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">yu </span></p>\n<p class=\"Quest idf9ef215b7-ParaOverride-19\" lang=\"en-GB\"><span lang=\"en-US\"> </span><span class=\"Normal-English-Bold\" lang=\"en-US\">MATHEMATICS</span></p>\n<p class=\"Quest idf9ef215b7-ParaOverride-19\" lang=\"en-GB\"><span class=\"Normal-English-Bold\" lang=\"en-US\"> </span><span lang=\"en-US\">þçËLkku {q¤kûkh Au.</span><span class=\"Normal-English-Bold\">}</span></p>\n</td>\n</tr>\n</tbody>\n</table>",
              "position": "stem",
              "context": "(i) {1, 2, 3, 6} (a) { x : x yu yrð¼kßÞ MktÏÞk Au yLku 6 Lkk…"
            }
          ],
          "metadata": {
            "source_class": "Quest",
            "source_number": "6",
            "original_raw_text": "  zkçke çkkswyu ÞkËeLke heíku Ëþkoðu÷k økýkuLku s{ýe çkkswyu íkuLkk s økwýÄ{oLke heíku Ëþkoðu÷k økýku MkkÚku Mkktf¤ku.",
            "marks": 0,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "section": "Long Questions (પ્રશ્નોત્તર)",
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        },
        {
          "sequence_no": 11,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\">\tLke[uLkk økýku{ktÚke fÞk MkkLík yLku fÞk yLktík øký Au íku Lk¬e fhku.</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-21\"><span class=\"Normal-English-Bold\">(i)\t{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">N</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">yLku </span><span class=\"Normal-English-Bold\" lang=\"en-US\">(</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\" lang=\"en-US\">x</span><span class=\"Normal-English-Bold\" lang=\"en-US\"> – 1) (</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\" lang=\"en-US\">x</span><span class=\"Normal-English-Bold\" lang=\"en-US\"> – 2) = 0</span><span class=\"Normal-English-Bold\">}</span></div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ynª,\t<span class=\"Normal-English\">(</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">–</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">1)</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">(</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">–</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">2)</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">0</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∴</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-US\">x</span><span class=\"Normal-English\" lang=\"en-US\"> – 1 = 0 </span><span lang=\"en-US\">yÚkðk </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-US\">x</span><span class=\"Normal-English\" lang=\"en-US\"> – 2 = 0</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-US\">∴</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-US\">x</span><span class=\"Normal-English\" lang=\"en-US\"> = 1 </span><span lang=\"en-US\">yÚkðk </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-US\">x</span><span class=\"Normal-English\" lang=\"en-US\"> = 2</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-US\">∴</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span lang=\"en-US\">ykÃku÷ øký </span><span class=\"Normal-English\" lang=\"en-US\">= {1, 2} </span><span lang=\"en-US\">su MkkLík øký Au.</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\" lang=\"en-US\">(ii)\t</span><span class=\"Normal-English-Bold\">{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">N</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">yLku </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\" lang=\"en-US\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\" lang=\"en-US\">2</span><span class=\"Normal-English-Bold\" lang=\"en-US\"> = 4}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">\tynª,\t<span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">4</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∴</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> = </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">±</span><span class=\"Normal-English\"> 2 </span><span lang=\"en-US\">Ãkhtíkw </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-US\">x</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-US\">∈</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span class=\"Normal-English-Bold\" lang=\"en-US\">N</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span lang=\"en-US\">nkuðkÚke </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-US\">x</span><span class=\"Normal-English\" lang=\"en-US\"> = 2 </span><span lang=\"en-US\">ÚkkÞ.</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-8\"><span lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-US\">∴</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span lang=\"en-US\">ykÃku÷ øký </span><span class=\"Normal-English\" lang=\"en-US\">= {2} </span><span lang=\"en-US\">su MkkLík øký Au.</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\" lang=\"en-US\">(iii)\t</span><span class=\"Normal-English-Bold\">{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">N</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">yLku </span><span class=\"Normal-English-Bold\" lang=\"en-US\">2</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\" lang=\"en-US\">x</span><span class=\"Normal-English-Bold\" lang=\"en-US\"> – 1 = 0}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ynª, <span class=\"Normal-English\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">–</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">1</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">0</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∴</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">1</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∴</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\"><img alt=\"\" class=\"_idGenObjectAttribute-9\" src=\"Chapter1/EQ-1012-140057.png\"/></span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∉</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">N</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\"> </span><span lang=\"en-US\">Ãkhtíkw </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-US\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-US\">∈</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span class=\"Normal-English-Bold\" lang=\"en-US\">N</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span lang=\"en-US\">nkuðkÚke ykÃku÷ku øký ¾k÷e øký Au. su MkkLík øký Au.</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\" lang=\"en-US\">(iv)\t</span><span class=\"Normal-English-Bold\">{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">N</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">yLku </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-US\"> </span><span lang=\"en-US\">yrð¼kßÞ MktÏÞk Au.</span><span class=\"Normal-English-Bold\" lang=\"en-US\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">\tyk øký{kt Ëhuf yrð¼kßÞ MktÏÞkykuLkku Mk{kðuþ Úkíkku nkuðkÚke íku yLktík øký Au.</div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\" lang=\"en-US\">(v)\t</span><span class=\"Normal-English-Bold\">{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">N</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">yLku </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-US\"> </span><span lang=\"en-US\">yÞwø{ ÃkqýkOf Au.</span><span class=\"Normal-English-Bold\" lang=\"en-US\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">\tyk øký{kt Ëhuf yÞwø{ ÃkqýkOf MktÏÞkykuLkku Mk{kðuþ Úkíkku nkuðkÚke íku yLktík øký Au.</div>",
          "type": "SUB",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
          "images": [
            {
              "id": "img-0",
              "path": "Chapter1/EQ-1012-140057.png",
              "position": "answer",
              "context": "ynª, 2 x – 1 = 0 ∴ 2 x = 1 ∴ x = ∉ N"
            }
          ],
          "tables": [],
          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-6",
            "source_number": "6",
            "original_raw_text": "\tLke[uLkk økýku{ktÚke fÞk MkkLík yLku fÞk yLktík øký Au íku Lk¬e fhku.\n(i)\t{x : x ∈ N yLku (x – 1) (x – 2) = 0}",
            "marks": 0,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "section": "Long Questions (પ્રશ્નોત્તર)",
            "section_id": ""
          }
        },
        {
          "sequence_no": 12,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-20\">\tMk{kLk økýkuLke òuze þkuÄku (òu nkuÞ íkku). ík{khk W¥kh {kxu fkhý ykÃkku.</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-22\"><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold\">A =\t{0},</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">B</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">= {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> &gt; 15</span><span class=\"Normal-English\"> </span>yLku <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> &lt; 5},</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-22\"><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">C =\t{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> – 5 = 0},</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">D = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> :</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">= 25},</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-23\"><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">E =</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span>yu Mk{efhý <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">– 2</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> – 15 = 0</span><span class=\"Normal-English\"> </span>Lkwt ÄLk ÃkqýkOf çkes Au.<span class=\"Normal-English-Bold\">}</span></div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ynª, <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{0},</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">φ</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">C</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{5},</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">D</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{–5,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">5},</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">E</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{5}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\"> </span><span lang=\"en-US\">ynª, Võík </span><span class=\"Normal-English\" lang=\"en-US\">C = E </span><span lang=\"en-US\">Au.</span></div>",
          "type": "SUB",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-20",
            "source_number": "7",
            "original_raw_text": "\tMk{kLk økýkuLke òuze þkuÄku (òu nkuÞ íkku). ík{khk W¥kh {kxu fkhý ykÃkku.\n A =\t{0}, B = {x : x &gt; 15 yLku x &lt; 5},\n C =\t{x : x – 5 = 0}, D = {x : x2 = 25},\n E = {x : x yu Mk{efhý x2 – 2x – 15 = 0 Lkwt ÄLk ÃkqýkOf çkes Au.}",
            "marks": 0,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "section": "Long Questions (પ્રશ્નોત્તર)",
            "section_id": ""
          }
        },
        {
          "sequence_no": 13,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-24\">\tLke[uLkk{ktÚke fE òuzeLkk øký Mk{kLk Au ? ík{khk sðkçkLke ÞÚkkÚkoíkk [fkMkku.</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-21\"><span class=\"Normal-English-Bold\">(i)\t“ALLOY”</span><span class=\"Normal-English\"> </span>Lkk {q¤kûkhkuLkku øký <span class=\"Normal-English-Bold\">X</span><span class=\"Normal-English\"> </span>yLku <span class=\"Normal-English-Bold\">“LOYAL”</span><span class=\"Normal-English\"> </span>Lkk {q¤kûkhkuLkku øký <span class=\"Normal-English-Bold\">B</span><span class=\"Normal-English\"> </span>Au.</div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">\tynª, <span class=\"Normal-English\">X</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{A,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">L,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">O,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">Y}</span><span class=\"Normal-English\"> </span>Úkþu íkÚkk <span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{L,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">O,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">Y,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">A}</span><span class=\"Normal-English\"> </span>su Mk{kLk Au. {kxu <span class=\"Normal-English\">X</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span>Úkþu.</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-20\"><span class=\"Normal-English-Bold\">(ii)\tA = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">:</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\"><img alt=\"\" class=\"_idGenObjectAttribute-7\" src=\"Chapter1/11.png\"/></span><span class=\"Normal-English idf9ef215b7-CharOverride-1\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\"> </span><span class=\"Normal-English-Bold\">Z</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\"> </span>yLku <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-10\">&lt;</span><span class=\"Normal-English-Bold\"> 4}, B = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">:</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">R</span><span class=\"Normal-English\"> </span>yLku <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">– 3</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">+ 2 = 0}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ynª, <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{–2,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">–1,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">0,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">1,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">2}</span><span class=\"Normal-English\"> </span>íkÚkk <span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{2,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">1}</span><span class=\"Normal-English\"> </span>ynª, <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">≠</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span>nkuðkÚke Mk{kLk øký LkÚke.</div>\n<div class=\"Quest-copy-2 idf9ef215b7-ParaOverride-3\"><img alt=\"\" class=\"_idGenObjectAttribute-5\" src=\"Chapter1/12.png\"/></div>",
          "type": "SUB",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
          "images": [
            {
              "id": "img-0",
              "path": "Chapter1/11.png",
              "position": "answer",
              "context": "(ii)\tA = { n : ∈ Z yLku n 2 < 4}, B = { x : x ∈ R yLku x 2 –…"
            },
            {
              "id": "img-1",
              "path": "Chapter1/12.png",
              "position": "answer",
              "context": ""
            }
          ],
          "tables": [],
          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-24",
            "source_number": "8",
            "original_raw_text": "\tLke[uLkk{ktÚke fE òuzeLkk øký Mk{kLk Au ? ík{khk sðkçkLke ÞÚkkÚkoíkk [fkMkku.\n(i)\t“ALLOY” Lkk {q¤kûkhkuLkku øký X yLku “LOYAL” Lkk {q¤kûkhkuLkku øký B Au.",
            "marks": 0,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "section": "Long Questions (પ્રશ્નોત્તર)",
            "section_id": ""
          }
        },
        {
          "sequence_no": 14,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-24\">\tLke[uLkk{ktÚke fÞk øký ¾k÷e økýLkkt WËknhý Au ?</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\"><span class=\"Normal-English-Bold\">(i)\t2</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">ðzu rð¼kßÞ yÞwø{ «kf]ríkf MktÏÞkykuLkku øký.</span></div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\">2</span><span class=\"Normal-English\"> </span>ðzu rð¼kßÞ nkuÞ íkuðe Ëhuf «kf]ríkf MktÏÞkyku nt{uþkt Þwø{ s nkuÞ.</div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English idf9ef215b7-CharOverride-2\">∴</span><span class=\"Normal-English\"> </span>ykÃku÷ku øký ¾k÷e øký Au.</div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(ii)</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">Þwø{ yrð¼kßÞ «kf]ríkf MktÏÞkykuLkku øký.</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\">2</span><span class=\"Normal-English\"> </span>yu Þwø{ yrð¼kßÞ «kf]ríkf MktÏÞk nkuðkÚke ykÃku÷ku øký ¾k÷e øký LkÚke.</div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(iii)\t{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">yu «kf]ríkf MktÏÞk Au, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\" lang=\"en-US\">x</span><span class=\"Normal-English-Bold\" lang=\"en-US\"> &lt; 5</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span lang=\"en-US\">yLku </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\" lang=\"en-US\">x</span><span class=\"Normal-English-Bold\" lang=\"en-US\"> &gt; 7}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">fkuE «kf]ríkf MktÏÞk <span class=\"Normal-English\">5</span><span class=\"Normal-English\"> </span>fhíkkt LkkLke nkuÞ yLku <span class=\"Normal-English\">7</span><span class=\"Normal-English\"> </span>fhíkkt {kuxe nkuÞ íku yufMkkÚku þõÞ LkÚke. {kxu ykÃku÷ øký ¾k÷e øký Au.</div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(iv)\t{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">y</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">y</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">yu çku r¼LLk Mk{ktíkh hu¾kykuLkwt </span><span lang=\"en-US\">Mkk{kLÞ ®çkËw Au.</span><span class=\"Normal-English-Bold\" lang=\"en-US\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">fkuE çku r¼LLk Mk{ktíkh hu¾kyku õÞkhuÞ yufçkeòLku AuËu Lknª. {kxu íku{Lkwt Mkk{kLÞ ®çkËw {¤u Lknª. {kxu ykÃku÷ øký ¾k÷e øký Au.</div>",
          "type": "SUB",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-24",
            "source_number": "1",
            "original_raw_text": "\tLke[uLkk{ktÚke fÞk øký ¾k÷e økýLkkt WËknhý Au ?\n(i)\t2 ðzu rð¼kßÞ yÞwø{ «kf]ríkf MktÏÞkykuLkku øký.",
            "marks": 0,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "section": "Long Questions (પ્રશ્નોત્તર)",
            "section_id": ""
          }
        },
        {
          "sequence_no": 15,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-24\">\tLke[uLkk{ktÚke fÞk øký MkkLík øký yLku fÞk øký yLktík øký Au ?</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\"><span class=\"Normal-English-Bold\">(i)</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">ð»koLkk {rnLkkykuLkku øký</span></div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ynª, ð»koLkk {rnLkkyku <span class=\"Normal-English\">12</span><span class=\"Normal-English\"> </span>rLkrùík nkuðkÚke íku MkkLík øký Au.</div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(ii)\t{1, 2, 3,.....}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\"> </span>ykÃku÷ku øký «kf]ríkf MktÏÞk øký nkuðkÚke íku yLktík øký Au.</div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(iii)\t{1, 2, 3,....., 99, 100}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ykÃku÷ku øký yu <span class=\"Normal-English\">1</span><span class=\"Normal-English\"> </span>Úke <span class=\"Normal-English\">100</span><span class=\"Normal-English\"> </span>MkwÄeLke «kf]ríkf MktÏÞkykuLkku Mk{kðuþ fhu Au su rLkrùík nkuðkÚke MkkLík øký Au.</div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(iv)\t</span><span class=\"Normal-English-Bold\" lang=\"en-US\">100</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span lang=\"en-US\">fhíkkt {kuxk ÄLk ÃkqýkOfkuLkku øký.</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ykÃku÷k øký{kt <span class=\"Normal-English\">100</span><span class=\"Normal-English\"> </span>fhíkkt {kuxk nkuÞ íkuðk ík{k{ ÄLk ÃkqýkOfkuLkku Mk{kðuþ Úkíkku nkuðkÚke MkÇÞkuLke MktÏÞk yrLkrùík Au. {kxu ykÃku÷ku øký yLktík øký Au.</div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(v)\t99</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">fhíkkt LkkLke yrð¼kßÞ MktÏÞkykuLkku øký.</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ykÃku÷k øký{kt <span class=\"Normal-English\">99</span><span class=\"Normal-English\"> </span>fhíkkt LkkLke ík{k{ yrð¼kßÞ MktÏÞkykuLkku Mk{kðuþ Úkíkku nkuðkÚke íku{kt MkÇÞkuLke MktÏÞk rLkrùík Au. {kxu ykÃku÷ku øký MkkLík øký Au.</div>",
          "type": "SUB",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-24",
            "source_number": "2",
            "original_raw_text": "\tLke[uLkk{ktÚke fÞk øký MkkLík øký yLku fÞk øký yLktík øký Au ?\n(i) ð»koLkk {rnLkkykuLkku øký",
            "marks": 0,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "section": "Long Questions (પ્રશ્નોત્તર)",
            "section_id": ""
          }
        },
        {
          "sequence_no": 16,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-24\">\tLke[uLkk økýku{ktÚke fÞk øký MkkLík yLku fÞk øký yLktík Au íku þkuÄku.</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\"><span class=\"Normal-English-Bold\">(i)\tX</span><span class=\"Normal-English\"> - </span>yûkLku Mk{ktíkh hu¾kykuLkku øký.</div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\">X</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">-</span><span class=\"Normal-English\"> </span>yûkLku Mk{ktíkh nkuÞ íkuðe yLktík hu¾kyku Ëkuhe þfkíke nkuðkÚke ykÃku÷ku øký yLktík øký Au.</div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(ii)</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">ytøkúuS {q¤kûkhkuLkku øký.</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ytøkúuSLkk fw÷ <span class=\"Normal-English\">26</span><span class=\"Normal-English\"> </span>{q¤kûkhku nkuðkÚke ykÃku÷ku øký MkkLík Au.</div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(iii)\t5</span><span class=\"Normal-English\"> </span>Lke økwrýík MktÏÞkykuLkku øký.</div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ynª, <span class=\"Normal-English\">{5,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">10,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">15,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">20,.....}</span><span class=\"Normal-English\"> </span>su yLktík øký Ëþkoðu Au.</div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(iv)</span><span class=\"Normal-English\"> </span>Ãk]Úðe Ãkh ðMkíkk «kýeykuLkku øký.</div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">Ãk]Úðe Ãkh økýe þfkÞ íkux÷e MktÏÞk{kt «kýeyku ðMku Au. {kxu ykÃku÷ku øký MkkLík øký Au.</div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(v)</span><span class=\"Normal-English\"> </span>Wøk{®çkËw <span class=\"Normal-English-Bold\">(0, 0)</span><span class=\"Normal-English\"> </span>{ktÚke ÃkMkkh Úkíkkt ðíkwo¤kuLkku øký.</div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">Wøk{®çkËw{ktÚke ÃkMkkh Úkíkk nkuÞ íkuðk yLktík ðíkwo¤ku Ëkuhe þfkÞ. {kxu ykÃku÷ku øký yLktík øký Au.</div>",
          "type": "SUB",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-24",
            "source_number": "3",
            "original_raw_text": "\tLke[uLkk økýku{ktÚke fÞk øký MkkLík yLku fÞk øký yLktík Au íku þkuÄku.\n(i)\tX - yûkLku Mk{ktíkh hu¾kykuLkku øký.",
            "marks": 0,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "section": "Long Questions (પ્રશ્નોત્તર)",
            "section_id": ""
          }
        },
        {
          "sequence_no": 17,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-24\">\tLke[uLkk{ktÚke Lk¬e fhku fu <span class=\"Normal-English-Bold\">A = B</span><span class=\"Normal-English\"> </span>Au fu Lknª.</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\"><span class=\"Normal-English-Bold\">(i)\tA =</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">a</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">b</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">c</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">d</span><span class=\"Normal-English-Bold\">},</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">B = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">d</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">c</span><span class=\"Normal-English-Bold\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">b</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">a</span><span class=\"Normal-English-Bold\">}</span></div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ynª, çktLku øký{kt Mk{kLk MkÇÞku nkuðkÚke çktLku øký Mk{kLk Au. {kxu <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span>ÚkkÞ.</div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(ii)\tA = {4, 8, 12, 16}, B = {8, 4, 16, 18}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ynª, çktLku øký{kt y÷øk MkÇÞku nkuðkÚke <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">≠</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">B.</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(iii)\tA = {2, 4, 6, 8, 10}, B =</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">yu Þwø{ ÄLk ÃkqýkOf Au yLku </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\" lang=\"en-US\">x</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-10\" lang=\"en-US\">&lt;</span><span class=\"Normal-English-Bold\" lang=\"en-US\"> 10}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ynª, øký <span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{2,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">4,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">6,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">8,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">10}</span><span class=\"Normal-English\"> </span>su øký <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span>Lku Mk{kLk Au. {kxu <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span>Au.</div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(iv)\tA = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span lang=\"en-US\">yu </span><span class=\"Normal-English-Bold\" lang=\"en-US\">10</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span lang=\"en-US\">Lkku økwrýík Au.</span><span class=\"Normal-English-Bold\" lang=\"en-US\">}</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">B = {10, 15, 20, 25, 30,.....}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{10,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">20,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">30,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">40,.....}</span><span class=\"Normal-English\"> </span>ynª <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span>yLku<span class=\"Normal-English\"> </span><span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span>çktLku økýLkk MkÇÞku y÷øk nkuðkÚke <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">≠</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">B.</span></div>",
          "type": "SUB",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-24",
            "source_number": "4",
            "original_raw_text": "\tLke[uLkk{ktÚke Lk¬e fhku fu A = B Au fu Lknª.\n(i)\tA = {a, b, c, d}, B = {d, c, b, a}",
            "marks": 0,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "section": "Long Questions (પ્રશ્નોત્તર)",
            "section_id": ""
          }
        },
        {
          "sequence_no": 18,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-24\">\tLke[u ykÃku÷e òuzeykuLkk øký Mk{kLk Au ? fkhý ykÃkku.</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\"><span class=\"Normal-English-Bold\">(i)\tA = {2, 3}, B = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span>yu <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold\"> + 5</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> + 6 = 0</span><span class=\"Normal-English\"> </span>Lkku Wfu÷ Au.<span class=\"Normal-English-Bold\">}</span></div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ynª, Mk{efhý\t<span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">+</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">5</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">+</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">6</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">0</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English\"> + 3</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> + 2</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> + 6 = 0</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∴</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> (</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> + 3) + 2 (</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> + 3) = 0</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∴</span><span class=\"Normal-English\">\t(</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> + 3) (</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> + 2) = 0</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∴</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> + 3 = 0 </span><span lang=\"en-US\">yÚkðk </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-US\">x</span><span class=\"Normal-English\" lang=\"en-US\"> + 2 = 0</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-US\">∴</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-US\">x</span><span class=\"Normal-English\" lang=\"en-US\"> = –3 </span><span lang=\"en-US\">yÚkðk </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-US\">x</span><span class=\"Normal-English\" lang=\"en-US\"> = –2</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\" lang=\"en-US\"> </span><span lang=\"en-US\">{kxu, </span><span class=\"Normal-English\" lang=\"en-US\">B = {–3, –2} </span><span lang=\"en-US\">íkÚkk </span><span class=\"Normal-English\" lang=\"en-US\">A = {2, 3} </span><span lang=\"en-US\">ykÃku÷ Au.</span></div>\n<div class=\"Normal-copy\"><span lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-US\">∴</span><span class=\"Normal-English\" lang=\"en-US\"> A </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-US\">≠</span><span class=\"Normal-English\" lang=\"en-US\"> B.</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(ii)\tA = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span>yu <span class=\"Normal-English-Bold\">FOLLOW</span><span class=\"Normal-English\"> </span>þçËLkku {q¤kûkh Au.<span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">B = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">y</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">y</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\"> </span>yu<span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">WOLF</span><span class=\"Normal-English\"> </span>þçËLkku {q¤kûkh Au.<span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\"> </span><span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{F,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">O,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">L,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">W}</span><span class=\"Normal-English\"> </span>íkÚkk</div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\"> </span><span class=\"Normal-English\" lang=\"en-US\">B = {W, O, L, F}. </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\" lang=\"en-US\"> </span><span lang=\"en-US\">ynª, çktLku øký{kt Mk{kLk MkÇÞku nkuðkÚke </span><span class=\"Normal-English\" lang=\"en-US\">A = B </span><span lang=\"en-US\">Úkþu.</span></div>",
          "type": "SUB",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-24",
            "source_number": "5",
            "original_raw_text": "\tLke[u ykÃku÷e òuzeykuLkk øký Mk{kLk Au ? fkhý ykÃkku.\n(i)\tA = {2, 3}, B = {x : x yu x2 + 5x + 6 = 0 Lkku Wfu÷ Au.}",
            "marks": 0,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "section": "Long Questions (પ્રશ્નોત્તર)",
            "section_id": ""
          }
        },
        {
          "sequence_no": 19,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-24\">\tLke[u ykÃku÷k øký{ktÚke Mk{kLk øký ÃkMktË fhku.</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English-Bold\">\tA\t= {2, 4, 8, 12}, B = {1, 2, 3, 4}, </span><span class=\"Normal-English-Bold\">C = {4, 8, 12, 14},</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\"><span class=\"Normal-English-Bold\">\tD\t= {3, 1, 4, 2}, E = {–1, 1}, F = {0, a},</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\"><span class=\"Normal-English-Bold\">\tG\t= {1, –1}, H = {0, 1}</span></div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">\tynª, <span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{1,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">2,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">3,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">4}</span><span class=\"Normal-English\"> </span>yLku <span class=\"Normal-English\">D</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{3,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">1,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">4,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">2}</span><span class=\"Normal-English\"> </span>yu Mk{kLk økýLke òuz Au.</div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ynª, <span class=\"Normal-English\">E</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{–1,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">1}</span><span class=\"Normal-English\"> </span>yLku <span class=\"Normal-English\">G</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{1,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">–1}</span><span class=\"Normal-English\"> </span>yu Mk{kLk økýLke òuz Au.</div>\n<div class=\"Summary_Style idf9ef215b7-ParaOverride-1\">òu øký <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span>Lkku «íÞuf ½xf yu øký <span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span>Lkku Ãký ½xf nkuÞ íkku øký <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span>Lku øký <span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span>Lkku WÃkøký fnuðkÞ Au.</div>\n<div class=\"Summary_Style idf9ef215b7-ParaOverride-1\">WÃkøkýLku Mktfuík{kt <span class=\"Normal-English\">‘</span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊂</span><span class=\"Normal-English\">’</span><span class=\"Normal-English\"> </span>ðzu ËþkoðkÞ Au.</div>\n<div class=\"Summary_Style idf9ef215b7-ParaOverride-1\">ßÞkhu <span class=\"Normal-English idf9ef215b7-CharOverride-1\">a</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span>nkuÞ íÞkhu <span class=\"Normal-English idf9ef215b7-CharOverride-1\">a</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span>nkuÞ íkku <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊂</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span>ÚkkÞ.</div>\n<div class=\"Summary_Style idf9ef215b7-ParaOverride-1\">òu <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span>yu <span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span>Lkku WÃkøký Lk nkuÞ íkku íkuLku <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊄</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span>ðzu ËþkoðkÞ Au.</div>\n<div class=\"Summary_Style idf9ef215b7-ParaOverride-1\">WÃkøkýLke ÔÞkÏÞk ÃkhÚke fne þfkÞ fu, “Ëhuf øký yu ÃkkuíkkLkku WÃkøký Au.”</div>\n<div class=\"Summary_Style idf9ef215b7-ParaOverride-1\">¾k÷e øký <span class=\"Normal-English\">(</span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">φ</span><span class=\"Normal-English\">)</span><span class=\"Normal-English\"> </span>yu Ëhuf økýLkku WÃkøký Au.</div>\n<div class=\"Summary_Style idf9ef215b7-ParaOverride-1\">yk{ fne þfkÞ fu, ¾k÷e øký rMkðkÞLkk Ëhuf økýLku ykuAk{kt ykuAk çku WÃkøký íkku nkuÞ s. <span class=\"Normal-English\">(a)</span><span class=\"Normal-English\"> </span>¾k÷e øký yLku<span class=\"Normal-English\"> </span><span class=\"Normal-English\">(b)</span><span class=\"Normal-English\"> </span>íku øký Ãkkuíku s.</div>\n<div class=\"Summary_Style idf9ef215b7-ParaOverride-1\">ynª, MÃkü heíku fne þfkÞ fu, </div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English-Bold\">N</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊂</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">Z</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊂</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">Q</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊂</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">R</span><span class=\"Normal-English\">.</span></div>\n<div class=\"Summary_Style idf9ef215b7-ParaOverride-1\">ynª, yMkt{uÞ MktÏÞkøkýLku <span class=\"Normal-English-Bold\">T</span><span class=\"Normal-English\"> </span>ðzu ËþkoðkÞ Au.</div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English\" lang=\"en-US\">T = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-US\">x</span><span class=\"Normal-English\" lang=\"en-US\"> : </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-US\">x</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-US\">∈</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span class=\"Normal-English-Bold\" lang=\"en-US\">R</span><span class=\"Normal-English\" lang=\"en-US\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-US\">x</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-US\">∉</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span class=\"Normal-English-Bold\" lang=\"en-US\">Q</span><span class=\"Normal-English\" lang=\"en-US\">}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-US\">∴</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span class=\"Normal-English-Bold\" lang=\"en-US\">T</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-US\">⊂</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span class=\"Normal-English-Bold\" lang=\"en-US\">R</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span lang=\"en-US\">Ãký </span><span class=\"Normal-English-Bold\" lang=\"en-US\">N</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-US\">⊄</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span class=\"Normal-English-Bold\" lang=\"en-US\">T</span><span class=\"Normal-English\" lang=\"en-US\">.</span></div>\n<div class=\"Summary_Style idf9ef215b7-ParaOverride-1\">çku øký <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span>yLku<span class=\"Normal-English\"> </span><span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span>{kxu òu <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊂</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span>yLku <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">≠</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span>íkku <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span>Lku <span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span>Lkku Wr[ík WÃkøký fnu Au yLku <span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span>Lku <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span>Lkku yrÄøký fnu Au.</div>\n<div class=\"Summary_Style idf9ef215b7-ParaOverride-1\">òu øký <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span>{kt yuf s MkÇÞ nkuÞ íkku <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span>Lku yufkfe øký <span class=\"Normal-English\">(Singleton)</span><span class=\"Normal-English\"> </span>fnu Au.</div>\n<div class=\"Summary_Style idf9ef215b7-ParaOverride-1\">òu øký <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span>{kt MkÇÞkuLke MktÏÞk <span class=\"Normal-English idf9ef215b7-CharOverride-1\">m</span><span class=\"Normal-English\"> </span>nkuÞ íkku íkuLkk fw÷ WÃkøkýkuLke MktÏÞk <span class=\"Normal-English\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-13\">m</span><span class=\"Normal-English\"> </span>ÚkkÞ, <span class=\"Normal-English idf9ef215b7-CharOverride-1\">m</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-10\">&gt;</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">1,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">m</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">N</span><span class=\"Normal-English\">.</span></div>",
          "type": "SUB",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-24",
            "source_number": "6",
            "original_raw_text": "\tLke[u ykÃku÷k øký{ktÚke Mk{kLk øký ÃkMktË fhku.\n\tA\t= {2, 4, 8, 12}, B = {1, 2, 3, 4}, C = {4, 8, 12, 14},\n\tD\t= {3, 1, 4, 2}, E = {–1, 1}, F = {0, a},\n\tG\t= {1, –1}, H = {0, 1}",
            "marks": 0,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "section": "Long Questions (પ્રશ્નોત્તર)",
            "section_id": ""
          }
        }
      ]
    },
    {
      "section_id": "",
      "section_title": "Long Questions (પ્રશ્નોત્તર)",
      "heading_text": "Long Questions (પ્રશ્નોત્તર)",
      "detected_type": "SUB",
      "match_confidence": 0.5,
      "questions": [
        {
          "sequence_no": 20,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-24\">\tøký <span class=\"Normal-English idf9ef215b7-CharOverride-2\">φ</span><span class=\"Normal-English\">, </span><span class=\"Normal-English-Bold\">A = {1, 3}, B = {1, 5, 9}, C = {1, 3, 5, 7, 9}</span><span class=\"Normal-English\"> </span>ykÃku÷kt Au. Lke[u Ëþkoðu÷e Ëhuf økýLke òuzeyku ðå[u Mkt¿kk <span class=\"Character-Style-13 idf9ef215b7-CharOverride-2\">⊂</span><span class=\"Character-Style-13\"> </span>yÚkðk <span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊄</span><span class=\"Normal-English\"> </span>Mk{krðü fhku.</div>\n<div class=\"Normal\"> <span class=\"Normal-English\" lang=\"en-US\">(i) </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-US\">φ</span><span class=\"Normal-English\" lang=\"en-US\">.....B\t(ii) A.....B\t(iii) A.....C\t(iv) </span><span class=\"Normal-English\" lang=\"en-US\">B.....C</span></div>",
          "answer_text": "<div class=\"Normal-copy\"><span lang=\"en-US\"> </span><span class=\"idf9ef215b7-CharOverride-11\">sðkçk :\t</span><span class=\"Normal-English\" lang=\"en-US\">(i)\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-US\">φ</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span lang=\"en-US\">yu Ëhuf økýLkku WÃkøký </span><span lang=\"en-US\">nkuðkÚke,</span></div>\n<div class=\"Normal-copy\"><span lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-US\">φ</span><span class=\"Normal-English\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-12\" lang=\"en-US\">⊂</span><span class=\"Normal-English\" lang=\"en-US\"> B </span><span lang=\"en-US\">Úkþu.</span></div>\n<div class=\"Normal idf9ef215b7-ParaOverride-28\"><span lang=\"en-US\"> </span><span class=\"Normal-English\" lang=\"en-US\">(ii)\tA </span><span lang=\"en-US\">Lkku ½xf </span><span class=\"Normal-English\" lang=\"en-US\">3</span><span lang=\"en-US\"> yu </span><span class=\"Normal-English\" lang=\"en-US\">B </span><span lang=\"en-US\">{kt Lk nkuðkÚke,</span></div>\n<div class=\"Normal idf9ef215b7-ParaOverride-28\"><span lang=\"en-US\"> </span><span class=\"Normal-English\" lang=\"en-US\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-12\" lang=\"en-US\">⊄</span><span class=\"Normal-English\" lang=\"en-US\"> B </span><span lang=\"en-US\">Úkþu.</span></div>\n<div class=\"Normal idf9ef215b7-ParaOverride-28\"><span lang=\"en-US\"> </span><span class=\"Normal-English\" lang=\"en-US\">(iii)\tA </span><span lang=\"en-US\">Lkk çktLku ½xfku </span><span class=\"Normal-English\" lang=\"en-US\">C </span><span lang=\"en-US\">{kt </span><span lang=\"en-US\">nkuðkÚke,</span></div>\n<div class=\"Normal idf9ef215b7-ParaOverride-28\"><span lang=\"en-US\"> </span><span class=\"Normal-English\" lang=\"en-US\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-12\" lang=\"en-US\">⊂</span><span class=\"Normal-English\" lang=\"en-US\"> C </span><span lang=\"en-US\">Úkþu.</span></div>\n<div class=\"Normal idf9ef215b7-ParaOverride-28\"><span lang=\"en-US\"> </span><span class=\"Normal-English\" lang=\"en-US\">(iv)\tB </span><span lang=\"en-US\">Lkk Ëhuf ½xf </span><span class=\"Normal-English\" lang=\"en-US\">C </span><span lang=\"en-US\">{kt </span><span lang=\"en-US\">nkuðkÚke, </span></div>\n<div class=\"Normal idf9ef215b7-ParaOverride-28\"><span lang=\"en-US\"> </span><span class=\"Normal-English\" lang=\"en-US\">B </span><span class=\"Normal-English idf9ef215b7-CharOverride-12\" lang=\"en-US\">⊂</span><span class=\"Normal-English\" lang=\"en-US\"> C </span><span lang=\"en-US\">Úkþu.</span></div>",
          "type": "FB",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-24",
            "source_number": "9",
            "original_raw_text": "\tøký φ, A = {1, 3}, B = {1, 5, 9}, C = {1, 3, 5, 7, 9} ykÃku÷kt Au. Lke[u Ëþkoðu÷e Ëhuf økýLke òuzeyku ðå[u Mkt¿kk ⊂ yÚkðk ⊄ Mk{krðü fhku.\n (i) φ.....B\t(ii) A.....B\t(iii) A.....C\t(iv) B.....C",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "section": "Long Questions (પ્રશ્નોત્તર)",
            "section_id": ""
          }
        },
        {
          "sequence_no": 21,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-20\"> <span class=\"Normal-English-Bold\">A = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">a</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">e</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">i</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">o</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">u</span><span class=\"Normal-English-Bold\">}, B = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">a</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">b</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">c</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">d</span><span class=\"Normal-English-Bold\">}</span><span class=\"Normal-English\"> </span>÷ku. <span class=\"Normal-English-Bold\">A</span><span class=\"Normal-English\"> </span>yu<span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">B</span><span class=\"Normal-English\"> </span>Lkku WÃkøký Au ? Lkk. (þk {kxu ?) <span class=\"Normal-English-Bold\">B</span><span class=\"Normal-English\"> </span>yu<span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">A</span><span class=\"Normal-English\"> </span>Lkku WÃkøký Au ? Lkk. (þk {kxu  ?)</div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ynª, <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span>Lkku ½xf <span class=\"Normal-English idf9ef215b7-CharOverride-1\">e</span><span class=\"Normal-English\"> </span>yu <span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span>{kt LkÚke {kxu <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span>yu <span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span>Lkku WÃkøký LkÚke. íkuðe s heíku øký <span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span>Lkku ½xf <span class=\"Normal-English\">b</span><span class=\"Normal-English\"> </span>yu<span class=\"Normal-English\"> </span><span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span>{kt LkÚke {kxu <span class=\"Normal-English\">B</span><span class=\"Normal-English\"> </span>yu <span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span>Lkku WÃkøký LkÚke.</div>",
          "type": "SUB",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-20",
            "source_number": "10",
            "original_raw_text": " A = {a, e, i, o, u}, B = {a, b, c, d} ÷ku. A yu B Lkku WÃkøký Au ? Lkk. (þk {kxu ?) B yu A Lkku WÃkøký Au ? Lkk. (þk {kxu  ?)",
            "marks": 0,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "section": "Long Questions (પ્રશ્નોત્તર)",
            "section_id": ""
          }
        },
        {
          "sequence_no": 22,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-24\"> <span class=\"Normal-English-Bold\">A, B</span><span class=\"Normal-English\"> </span>yLku<span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">C</span><span class=\"Normal-English\"> </span>ºký øký Au. òu <span class=\"Normal-English-Bold\">A</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">B</span><span class=\"Normal-English\"> </span>yLku <span class=\"Normal-English-Bold\">B</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊂</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">C</span><span class=\"Normal-English\"> </span>íkku <span class=\"Normal-English-Bold\">A</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊂</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">C</span><span class=\"Normal-English\"> </span>Mkk[wt Au ? òu ík{khku W¥kh Lkk nkuÞ íkku WËknhý ykÃkku.</div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">‘Lkk.’</div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">Äkhku fu,\t<span class=\"Normal-English\" lang=\"en-GB\">A</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">=</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-GB\">a</span><span class=\"Normal-English\" lang=\"en-GB\">},</span><span class=\"Normal-English\" lang=\"en-GB\"> </span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-29\"><span class=\"Normal-English\">\t\t\tB = {{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">a</span><span class=\"Normal-English\">}, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">b</span><span class=\"Normal-English\">},</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\">\t\t\tC = {{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">a</span><span class=\"Normal-English\">}, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">b</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">c</span><span class=\"Normal-English\">} </span>{kxu</div>\n<div class=\"Normal-copy\">\tynª, <span class=\"Normal-English\">A </span>Lkku ½xf <span class=\"Normal-English\">‘</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">a</span><span class=\"Normal-English\">’ </span>yu øký <span class=\"Normal-English\">C </span>Lkku ½xf LkÚke. </div>\n<div class=\"Normal-copy\">\t{kxu <span class=\"Normal-English\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊄</span><span class=\"Normal-English\"> C </span>ÚkkÞ.</div>\n<div class=\"Quest-copy-2 idf9ef215b7-ParaOverride-3\"><img alt=\"\" class=\"_idGenObjectAttribute-5\" src=\"Chapter1/20.png\"/></div>",
          "type": "SUB",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
          "images": [
            {
              "id": "img-0",
              "path": "Chapter1/20.png",
              "position": "answer",
              "context": ""
            }
          ],
          "tables": [],
          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-24",
            "source_number": "11",
            "original_raw_text": " A, B yLku C ºký øký Au. òu A ∈ B yLku B ⊂ C íkku A ⊂ C Mkk[wt Au ? òu ík{khku W¥kh Lkk nkuÞ íkku WËknhý ykÃkku.",
            "marks": 0,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "section": "Long Questions (પ્રશ્નોત્તર)",
            "section_id": ""
          }
        },
        {
          "sequence_no": 23,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-24\">\tLke[uLkkt rðÄkLkku MkíÞ çkLku íku heíku ¾k÷e søÞk{kt Mkt¿kk <span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊂</span> yÚkðk <span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊄</span> Ãkqhku :</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\"><span class=\"Normal-English-Bold\">(i)\t{2, 3, 4}.....{1, 2, 3, 4, 5}</span></div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊂</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-24\"><span class=\"Normal-English-Bold\">(ii)\t{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">a</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">b</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">c</span><span class=\"Normal-English-Bold\">}.....{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">b</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">c</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">d</span><span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊄</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-24\"><span class=\"Normal-English-Bold\">(iii)\t{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span>yu ík{khe þk¤kLkku Äkuhý <span class=\"Normal-English-Bold\">XI</span><span class=\"Normal-English\"> </span>Lkku rðãkÚkeo Au.<span class=\"Normal-English\">} </span><span class=\"Normal-English-Bold\">.....</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span>yu ík{khe þk¤kLkku rðãkÚkeo Au.<span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊂</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-24\"><span class=\"Normal-English-Bold\">(iv)\t{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span>yu Mk{ík÷{kt ðíkwo¤ Au.<span class=\"Normal-English-Bold\">} ..... {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span>yu yk s Mk{ík÷Lkwt <span class=\"Normal-English-Bold\">1</span><span class=\"Normal-English\"> </span>yuf{ rºkßÞkðk¤wt ðíkwo¤ Au.<span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊄</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-24\"><span class=\"Normal-English-Bold\">(v)\t{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span>yu Mk{ík÷{kt rºkfkuý Au<span class=\"Normal-English-Bold\">} ..... {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span>yu yk Mk{ík÷{kt ÷tçk[kuhMk Au.<span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊄</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(vi)\t{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span>yu Mk{ík÷{kt Mk{çkksw rºkfkuý Au.<span class=\"Normal-English-Bold\">} ..... </span><span class=\"Normal-English-Bold\">{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span>yu yk s Mk{ík÷Lkku rºkfkuý Au.<span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊂</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English-Bold\">(vii)\t{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span>yu Þwø{ «kf]ríkf MktÏÞk Au.<span class=\"Normal-English-Bold\">} ..... {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span>yu ÃkqýkOf MktÏÞk Au.<span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊂</span></div>",
          "type": "FB",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-24",
            "source_number": "1",
            "original_raw_text": "\tLke[uLkkt rðÄkLkku MkíÞ çkLku íku heíku ¾k÷e søÞk{kt Mkt¿kk ⊂ yÚkðk ⊄ Ãkqhku :\n(i)\t{2, 3, 4}.....{1, 2, 3, 4, 5}",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "section": "Long Questions (પ્રશ્નોત્તર)",
            "section_id": ""
          }
        },
        {
          "sequence_no": 24,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-8\">\tLke[uLkkt rðÄkLkku MkíÞ Au fu yMkíÞ íkuLke [fkMkýe fhku.</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\"><span class=\"Normal-English-Bold\">(i)\t{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">a</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">b</span><span class=\"Normal-English-Bold\">}</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊄</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">b</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">c</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">a</span><span class=\"Normal-English-Bold\">}</span></div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">a</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">b</span><span class=\"Normal-English\">}</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊂</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">b</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">c</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">a</span><span class=\"Normal-English\">}</span><span class=\"Normal-English\"> </span><span lang=\"en-GB\">nkuðkÚke</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">yMkíÞ</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Au.</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(ii)\t{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">a</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">e</span><span class=\"Normal-English-Bold\">}</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊂</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span>yu ytøkúuS {q¤kûkh ÃkifeLkku yuf Mðh Au.<span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">MkíÞ Au.</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-24\"><span class=\"Normal-English-Bold\">(iii)\t{1, 2, 3}</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊂</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">{1, 3, 5}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ynª, <span class=\"Normal-English\">2</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∉</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{1,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">3,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">5}</span><span class=\"Normal-English\"> </span><span lang=\"en-GB\">{kxu</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">yMkíÞ</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Au.</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(iv)\t{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">a</span><span class=\"Normal-English-Bold\">}</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊂</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">a</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">b</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">c</span><span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">MkíÞ Au.</div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(v)\t{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">a</span><span class=\"Normal-English-Bold\">}</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">a</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">b</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">c</span><span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">yMkíÞ Au.</div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(vi)\t{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span>yu <span class=\"Normal-English-Bold\">6</span><span class=\"Normal-English\"> </span>fhíkkt LkkLke Þwø{ «kf]ríkf MktÏÞk Au.<span class=\"Normal-English-Bold\">}</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊂</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span>yu <span class=\"Normal-English-Bold\">36</span><span class=\"Normal-English\"> </span>Lkku yðÞð nkuÞ íkuðe «kf]ríkf MktÏÞk Au.<span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ynª, «Úk{ øký <span class=\"Normal-English\">{2,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">4}</span><span class=\"Normal-English\"> </span><span lang=\"en-GB\">íkÚkk</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">rîíkeÞ</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">øký</span><span lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">{1,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">2,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">3,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">4,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">6,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">9,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">12,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">18,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">36}</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span lang=\"en-GB\">Au.</span><span lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">{2,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">4}</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-GB\">⊂</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">{1,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">2,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">3,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">4,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">6,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">9,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">12,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">18,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">36}</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span lang=\"en-GB\">nkuðkÚke</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">ykÃku÷wt</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">rðÄkLk</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">MkíÞ</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Au.</span></div>",
          "type": "SUB",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-8",
            "source_number": "2",
            "original_raw_text": "\tLke[uLkkt rðÄkLkku MkíÞ Au fu yMkíÞ íkuLke [fkMkýe fhku.\n(i)\t{a, b} ⊄ {b, c, a}",
            "marks": 0,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "section": "Long Questions (પ્રશ્નોત્તર)",
            "section_id": ""
          }
        },
        {
          "sequence_no": 25,
          "question_text": "<div class=\"Quest\"> <span class=\"Normal-English-Bold\">A = {1, 2, {3, 4}, 5}</span><span class=\"Normal-English\"> </span>íkku Lke[uLkkt rðÄkLkku Ãkife fÞkt rðÄkLkku yMkíÞ Au yLku þk {kxu ?</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English-Bold\">(i)\t{3, 4}</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊂</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">A</span></div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\"> </span><span lang=\"en-GB\">ynª</span><span lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">{3,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">4}</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span lang=\"en-GB\">yu</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">øký</span><span lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">A</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span lang=\"en-GB\">Lkku</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">MkÇÞ</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Au.</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">ykÚke</span><span lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">{3,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">4}</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-GB\">∈</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">A</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span lang=\"en-GB\">ÚkkÞ</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">{kxu</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">ykÃku÷wt</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">rðÄkLk</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">yMkíÞ</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Au.</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-24\"><span class=\"Normal-English-Bold\">(ii)\t{3, 4}</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">A</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\">{3,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">4}</span><span class=\"Normal-English\"> </span><span lang=\"en-GB\">yu</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">øký</span><span lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">A</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span lang=\"en-GB\">Lkku</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">½xf</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">nkuðkÚke</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">ykÃku÷wt</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">rðÄkLk</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">MkíÞ</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Au.</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-24\"><span class=\"Normal-English-Bold\">(iii)\t{{3, 4}}</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊂</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">A</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ynª, <span class=\"Normal-English\">{3,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">4}</span><span class=\"Normal-English\"> </span><span lang=\"en-GB\">yu</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">øký</span><span lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">A</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span lang=\"en-GB\">Lkku</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">½xf</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">nkuðkÚke</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">øký</span><span lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">{{3,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">4}}</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span lang=\"en-GB\">yu</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">øký</span><span lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">A</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span lang=\"en-GB\">Lkku</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">WÃkøký</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">fnuðkÞ.</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">{kxu</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">rðÄkLk</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">MkíÞ</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Au.</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-24\"><span class=\"Normal-English-Bold\">(iv)\t1</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">A</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\">1</span><span class=\"Normal-English\"> </span><span lang=\"en-GB\">yu</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">øký</span><span lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">A</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span lang=\"en-GB\">Lkku</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">MkÇÞ</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">nkuðkÚke</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">ykÃku÷wt</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">rðÄkLk</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">MkíÞ</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Au.</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-24\"><span class=\"Normal-English-Bold\">(v)\t1</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊂</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">A</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\">1</span><span class=\"Normal-English\"> </span><span lang=\"en-GB\">yu</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">øký</span><span lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">A</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span lang=\"en-GB\">Lkku</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">MkÇÞ</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">nkuðkÚke</span><span lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">{1}</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-GB\">⊂</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">A</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span lang=\"en-GB\">ÚkkÞ</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">{kxu</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">ykÃku÷wt</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">rðÄkLk</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">yMkíÞ</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Au.</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-24\"><span class=\"Normal-English-Bold\">(vi)\t{1, 2, 5}</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊂</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">A</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span lang=\"en-GB\">ynª,</span><span lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">1,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">2,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">5</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span lang=\"en-GB\">yu</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">øký</span><span lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">A</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span lang=\"en-GB\">Lkk</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">½xfku</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">nkuðkÚke</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">ykÃku÷wt</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">rðÄkLk</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">MkíÞ</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Au.</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-24\"><span class=\"Normal-English-Bold\">(vii)\t{1, 2, 5}</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">A</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span lang=\"en-GB\">ykÃku÷wt</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">rðÄkLk</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">yMkíÞ</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Au</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">fkhý</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">fu</span><span lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">{1,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">2,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">5}</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-GB\">⊂</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">A</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span lang=\"en-GB\">Au.</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-24\"><span class=\"Normal-English-Bold\">(viii)\t{1, 2, 3}</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊂</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">A</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span lang=\"en-GB\">ynª,</span><span lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">3</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span lang=\"en-GB\">yu</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">øký</span><span lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">A</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Lkku</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">½xf</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Lk</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">nkuðkÚke</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">ykÃku÷wt</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">rðÄkLk</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">yMkíÞ</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Au.</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-24\"><span class=\"Normal-English-Bold\">(ix)</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">φ</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">A</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span lang=\"en-GB\">ynª,</span><span lang=\"en-GB\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-GB\">φ</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">yu</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">øký</span><span lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">A</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Lkku</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">MkÇÞ</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Lk</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">nkuðkÚke</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">ykÃku÷wt</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">rðÄkLk</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">yMkíÞ</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Au.</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-24\"><span class=\"Normal-English-Bold\">(x)</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">φ</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊂</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">A</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span lang=\"en-GB\">¾k÷e</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">øký</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">yu</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Ëhuf</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">økýLkku</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">WÃkøký</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">nkuðkÚke</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">ykÃku÷wt</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">rðÄkLk</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">MkíÞ</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Au.</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-24\"><span class=\"Normal-English-Bold\">(xi)</span><span class=\"Normal-English\">\t{</span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">φ</span><span class=\"Normal-English\">} </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">⊂</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">A</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span lang=\"en-GB\">ykÃku÷wt</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">rðÄkLk</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">yMkíÞ</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Au</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">fkhý</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">fu</span><span lang=\"en-GB\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-GB\">φ</span><span class=\"Normal-English idf9ef215b7-CharOverride-16\" lang=\"en-GB\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-GB\">⊂</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">A</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Au.</span></div>",
          "type": "SUB",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
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          "metadata": {
            "source_class": "Quest",
            "source_number": "3",
            "original_raw_text": " A = {1, 2, {3, 4}, 5} íkku Lke[uLkkt rðÄkLkku Ãkife fÞkt rðÄkLkku yMkíÞ Au yLku þk {kxu ?\n(i)\t{3, 4} ⊂ A",
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            "section": "Long Questions (પ્રશ્નોત્તર)",
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        {
          "sequence_no": 26,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-24\">\tLke[u ykÃku÷k økýkuLkk ík{k{ WÃkøkýku ÷¾ku.</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\"><span class=\"Normal-English-Bold\">(i)\t{a}</span></div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English idf9ef215b7-CharOverride-2\">φ</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">a</span><span class=\"Normal-English\">}</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-24\"><span class=\"Normal-English-Bold\">(ii)\t{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">a</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">b</span><span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English idf9ef215b7-CharOverride-2\">φ</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">a</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">b</span><span class=\"Normal-English\">},</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">a</span><span class=\"Normal-English\">},</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">b</span><span class=\"Normal-English\">}</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-24\"><span class=\"Normal-English-Bold\">(iii)\t{1, 2, 3}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English idf9ef215b7-CharOverride-2\">φ</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{1,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">2,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">3},</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{1},</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{2},</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{3},</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{1,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">2},</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{1,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">3},</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{2,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">3}</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-24\"><span class=\"Normal-English-Bold\">(iv)</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">φ</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English idf9ef215b7-CharOverride-2\">φ</span></div>",
          "type": "SUB",
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          "metadata": {
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            "source_number": "4",
            "original_raw_text": "\tLke[u ykÃku÷k økýkuLkk ík{k{ WÃkøkýku ÷¾ku.\n(i)\t{a}",
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            "deduction_level": 0,
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            "section": "Long Questions (પ્રશ્નોત્તર)",
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          "sequence_no": 27,
          "question_text": "<div class=\"Quest\">\tLke[uLkkLku ytíkhk÷ MðYÃku Ëþkoðku :</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\"><span class=\"Normal-English-Bold\">(i)\t{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">R, –4 &lt; </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-10\">&lt;</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">6}</span></div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\">(–4,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">6]</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-24\"><span class=\"Normal-English-Bold\">(ii)\t{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">R, –12 &lt; </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> &lt; –10}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\">(–12,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">–10)</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-24\"><span class=\"Normal-English-Bold\">(iii)\t{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">R, 0 </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-10\">&lt;</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> &lt; 7}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\">[0,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">7)</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-24\"><span class=\"Normal-English-Bold\">(iv)\t{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">R, 3</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-10\">&lt;</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-10\">&lt;</span><span class=\"Normal-English-Bold\"> 4}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\">[3,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">4]</span></div>",
          "type": "SUB",
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          "metadata": {
            "source_class": "Quest",
            "source_number": "5",
            "original_raw_text": "\tLke[uLkkLku ytíkhk÷ MðYÃku Ëþkoðku :\n(i)\t{x : x ∈ R, –4 &lt; x &lt; 6}",
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            "section": "Long Questions (પ્રશ્નોત્તર)",
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        {
          "sequence_no": 28,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-24\">\tLke[u ykÃku÷k ytíkhk÷kuLku økwýÄ{oLke heíku ÷¾ku :</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\"><span class=\"Normal-English-Bold\">(i)\t(–3, 0)</span></div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">:</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">R</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">–3</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">&lt;</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">&lt;</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">0}</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(ii)\t[6, 12]</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">:</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">R</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">6</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-10\">&lt;</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-10\">&lt;</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">12}</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(iii)\t(6, 12]</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">:</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">R</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">6</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">&lt;</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-10\">&lt;</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">12}</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(iv)\t[–23, 5)</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">:</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">R</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">–23</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-10\">&lt;</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">&lt;</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">5}</span></div>",
          "type": "SUB",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
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          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-24",
            "source_number": "6",
            "original_raw_text": "\tLke[u ykÃku÷k ytíkhk÷kuLku økwýÄ{oLke heíku ÷¾ku :\n(i)\t(–3, 0)",
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            "deduction_level": 0,
            "source_html": "Chapter1",
            "section": "Long Questions (પ્રશ્નોત્તર)",
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          "sequence_no": 29,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-24\">\tLke[uLkkt rðÄkLkku {kxu ík{u fÞk økýLku Mkkðorºkf øký íkhefu ÃkMktË fhþku ?</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\"><span class=\"Normal-English-Bold\">(i)</span><span class=\"Normal-English\"> </span>fkxfkuý rºkfkuýkuLkku øký</div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span lang=\"en-GB\">ynª,</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">‘Mk{ík÷{kt</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">ykðu÷k</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">ík{k{</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">rºkfkuýkuLkk</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Mk{qn’Lku</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Mkkðorºkf</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">øký</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">íkhefu</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">ÃkMktË</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">fhe</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">þfkÞ.</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(ii)</span><span class=\"Normal-English\"> </span>Mk{rî¼ws rºkfkuýkuLkku øký</div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">ynª, ‘Mk{ík÷{kt ykðu÷k ík{k{ rºkfkuýkuLkk Mk{qn’Lku Mkkðorºkf øký íkhefu ÃkMktË fhe þfkÞ.</div>",
          "type": "SUB",
          "type_uncertain": false,
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          "correct_option": null,
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          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-24",
            "source_number": "7",
            "original_raw_text": "\tLke[uLkkt rðÄkLkku {kxu ík{u fÞk økýLku Mkkðorºkf øký íkhefu ÃkMktË fhþku ?\n(i) fkxfkuý rºkfkuýkuLkku øký",
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            "source_html": "Chapter1",
            "section": "Long Questions (પ્રશ્નોત્તર)",
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          "sequence_no": 30,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-24\"> <span class=\"Normal-English-Bold\">A = {1, 3, 5}, B = {2, 4, 6}, C = {0, 2, 4, 6, 8}</span><span class=\"Normal-English\"> </span>ykÃku÷ku øký Au. yk ºký øký <span class=\"Normal-English-Bold\">A, B</span><span class=\"Normal-English\"> </span>yLku<span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">C</span><span class=\"Normal-English\"> </span>{kxu Lke[uLkk{ktÚke fÞk økýLku Mkkðorºkf øký íkhefu ÷E þfkÞ ?</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\"> <span class=\"Normal-English-Bold\">(i)\t{0, 1, 2, 3, 4, 5, 6}</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\"><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">(ii)</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">φ</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\"><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">(iii)\t{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\"><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">(iv)\t{1, 2, 3, 4, 5, 6, 7, 8}</span></div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span lang=\"en-GB\">ynª,</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">ykÃku÷k</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">ºkýuÞ</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">øký</span><span lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">A,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">B,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">C</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span lang=\"en-GB\">Lkku</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Mk{kðuþ</span><span lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">(iii)</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span lang=\"en-GB\">{kt</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">ÚkkÞ</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Au.</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">{kxu</span><span lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">(iii)</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span lang=\"en-GB\">Lku</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Mkkðorºkf</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">øký</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">íkhefu</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">÷E</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">þfkÞ</span><span lang=\"en-GB\"> </span><span lang=\"en-GB\">Au.</span></div>\n<div class=\"Summary_Style idf9ef215b7-ParaOverride-1\">økýku ðå[uLkk ½ýk¾hk MktçktÄkuLku ykf]ríkyku îkhk hsq fhðk{kt ykðu Au. íku{Lku ðuLk ykf]rík fnuðkÞ Au.</div>\n<div class=\"Summary_Style idf9ef215b7-ParaOverride-1\">ytøkúuS íkfoþkMºke <span class=\"Normal-English\">John</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">Venn</span><span class=\"Normal-English\"> </span>Lkk Lkk{ ÃkhÚke ðuLk ykf]rík Lkk{ ykÃkðk{kt ykÔÞwt.</div>\n<div class=\"Summary_Style idf9ef215b7-ParaOverride-1\">Mkk{kLÞ heíku ynª, Mkkðorºkf økýLku <span class=\"Normal-English\">(U)</span><span class=\"Normal-English\"> </span>÷tçk[kuhMk ðzu yLku íku{ktÚke çkLkíkk çkeò økýLku ÷tçk[kuhMkLke ytËh ðíkwo¤ku îkhk Ëþkoððk{kt ykðu Au.</div>\n<div class=\"Normal-copy\"><span class=\"Normal-English-Bold\">(A)</span><span class=\"Normal-English\"> </span><span class=\"idf9ef215b7-CharOverride-3\">Þkuøkøký :</span> fkuE çku øký <span class=\"Normal-English\">A </span>yLku<span class=\"Normal-English\"> B </span>{kxu, <span class=\"Normal-English\">A </span>yLku<span class=\"Normal-English\"> B </span>Lkku Þkuøkøký <span class=\"Normal-English\">(Union Set) </span>yux÷u <span class=\"Normal-English\">A </span>Lkk ík{k{ ½xfku yLku <span class=\"Normal-English\">B </span>Lkk ík{k{ ½xfku y™u íku{Lkk Mkk{kLÞ ½xfkuLku Võík yuf ð¾ík ÷uðkÚke çkLkíkku øký. ÞkuøkøkýLku Mktfuík{kt <span class=\"Normal-English\">‘</span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English\">’ </span>ðzu ËþkoðkÞ Au.</div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-30\"><img alt=\"\" class=\"_idGenObjectAttribute-15\" src=\"Chapter1/23.png\"/></div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English idf9ef215b7-CharOverride-2\">∴</span><span class=\"Normal-English\"> A </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English\"> B = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> : </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> A </span>yÚkðk <span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English\"> B}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\"> </span>Þkuøkøký <span class=\"Normal-English\">(</span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English\">) </span>{kxu ‘yÚkðk’Lkku Ëk¾÷k{kt WÃkÞkuøk fhðku.</div>",
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          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-24",
            "source_number": "8",
            "original_raw_text": " A = {1, 3, 5}, B = {2, 4, 6}, C = {0, 2, 4, 6, 8} ykÃku÷ku øký Au. yk ºký øký A, B yLku C {kxu Lke[uLkk{ktÚke fÞk økýLku Mkkðorºkf øký íkhefu ÷E þfkÞ ?\n (i)\t{0, 1, 2, 3, 4, 5, 6}\n (ii) φ\n (iii)\t{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}\n (iv)\t{1, 2, 3, 4, 5, 6, 7, 8}",
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      "section_id": "",
      "section_title": "Long Questions (પ્રશ્નોત્તર)",
      "heading_text": "Long Questions (પ્રશ્નોત્તર)",
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      "questions": [
        {
          "sequence_no": 31,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-21\"> <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-18\">A = {2, 4, 6, 8}, B = {6, 8, 10, 12},</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-6\">íkku </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-18\">A</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-18\">B</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-6\">{u¤ðku.</span></div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-35\"><span class=\"idf9ef215b7-CharOverride-6\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">B</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">=</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">{2,</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">4,</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">6,</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">8,</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">10,</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">12}</span><p class=\"Quest-copy-2 idf9ef215b7-ParaOverride-34\" lang=\"en-GB\"></p></div>",
          "type": "SUB",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
          "images": [
            {
              "id": "img-0",
              "path": "Chapter1/29.png",
              "position": "answer",
              "context": "V-B = { e , o }, B-V = { k } 1. Lke[u ykÃku÷e òuzeykuLkk øký…"
            },
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              "id": "img-1",
              "path": "Chapter1/31.png",
              "position": "answer",
              "context": ""
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          "tables": [],
          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-21",
            "source_number": "12",
            "original_raw_text": " A = {2, 4, 6, 8}, B = {6, 8, 10, 12}, íkku A ∪ B {u¤ðku.",
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      "section_id": "",
      "section_title": "Word Meanings (શબ્દાર્થ)",
      "heading_text": "Word Meanings (શબ્દાર્થ)",
      "detected_type": "SUB",
      "match_confidence": 0.34,
      "questions": [
        {
          "sequence_no": 32,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-5\"><span class=\"Normal-English-Bold\">(i)\tA = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">a</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">b</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">c</span><span class=\"Normal-English-Bold\">}</span></div>",
          "answer_text": "<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">{kxu, <span class=\"Normal-English\">A'</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">U</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">–</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">A</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">d</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">e</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">f</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">g</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\"><img alt=\"\" class=\"_idGenObjectAttribute-14\" src=\"Chapter1/36.png\"/></span><span class=\"Normal-English\">}</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(ii)\tB = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">d</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">e</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">f</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">g</span><span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\"> </span><span lang=\"en-GB\">{kxu,</span><span lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">B'</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">=</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-GB\">a</span><span class=\"Normal-English\" lang=\"en-GB\">,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-GB\">b</span><span class=\"Normal-English\" lang=\"en-GB\">,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-GB\">c</span><span class=\"Normal-English\" lang=\"en-GB\">,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-GB\">h</span><span class=\"Normal-English\" lang=\"en-GB\">}</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(iii)\tC = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">a</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">c</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">e</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">g</span><span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English\" lang=\"en-GB\"> </span><span lang=\"en-GB\">{kxu,</span><span lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">C'</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">=</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English\" lang=\"en-GB\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-GB\">b</span><span class=\"Normal-English\" lang=\"en-GB\">,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-GB\">d</span><span class=\"Normal-English\" lang=\"en-GB\">,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-GB\">f</span><span class=\"Normal-English\" lang=\"en-GB\">,</span><span class=\"Normal-English\" lang=\"en-GB\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\" lang=\"en-GB\">h</span><span class=\"Normal-English\" lang=\"en-GB\">}</span></div>\n<div class=\"Quest\"><span class=\"Normal-English-Bold\">(iv)\tD = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">f</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">g</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">h</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">a</span><span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\">{kxu, <span class=\"Normal-English\">D'</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">=</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">b</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">c</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">d</span><span class=\"Normal-English\">,</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">e</span><span class=\"Normal-English\">}</span></div>\n<div class=\"Quest-copy-2\"></div>",
          "type": "SUB",
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          "images": [
            {
              "id": "img-0",
              "path": "Chapter1/36.png",
              "position": "answer",
              "context": "{kxu, A' = U – A = { d , e , f , g , }"
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            {
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              "path": "Chapter1/37.png",
              "position": "answer",
              "context": "∴ = 2"
            },
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              "id": "img-2",
              "path": "Chapter1/EQ-1012-102945.png",
              "position": "answer",
              "context": "∴ x >"
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              "position": "answer",
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              "path": "Chapter1/40.png",
              "position": "answer",
              "context": ""
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              "id": "img-6",
              "path": "Chapter1/40.png",
              "position": "answer",
              "context": ""
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            "original_raw_text": "(i)\tA = {a, b, c}",
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      "section_id": "1.14",
      "section_title": "Multiple Choice Questions (MCQs)",
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          "sequence_no": 33,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-5\">\tçku MkkLík økýLku yLkw¢{u <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">m</span> yLku <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span> ½xf Au. «Úk{ økýLku rîíkeÞ øký fhíkkt <span class=\"Normal-English-Bold\">56</span> sux÷k ðÄw WÃkøký nkuÞ, íkku <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">m</span><span class=\"Normal-English-Bold\"> =</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">________</span><span class=\"Normal-English\">,</span><span class=\"Normal-English idf9ef215b7-CharOverride-15\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\"> = </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">________</span><span class=\"Normal-English\">.</span></div>",
          "answer_text": "",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-59\">7, 6\t</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\">6, 3</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\">5, 1</span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">8, 7</span></span>"
          },
          "correct_option": "B",
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          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-5",
            "source_number": "1",
            "original_raw_text": "\tçku MkkLík økýLku yLkw¢{u m yLku n ½xf Au. «Úk{ økýLku rîíkeÞ øký fhíkkt 56 sux÷k ðÄw WÃkøký nkuÞ, íkku m = ________, n = ________.",
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        {
          "sequence_no": 34,
          "question_text": "<div class=\"Quest\"> <span class=\"Normal-English-Bold\">A = {64</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> N}, B = {3</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-53\">n</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\"> + 2</span><span class=\"Normal-English-Bold\"> – 8</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\"> – 9, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> N}</span> íkku<span class=\"Normal-English-Bold\">...</span></div>",
          "answer_text": "<div class=\"Quest\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-76\"> </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">ynª, </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A = {64</span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> : </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-US\">N</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">},</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = 1, 2, 3, ...</span><span class=\"idf9ef215b7-CharOverride-75\"> {qfíkkt,</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\tA\t= {64, 128, 192, 256, ...}</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\tB\t= </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">{3</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-13\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\"> + 2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 8</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 9, </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English-Bold\">N</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">},</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = 1, 2, 3, ...</span><span class=\"idf9ef215b7-CharOverride-75\"> {qfíkkt,</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">B\t= {64, 704, 6528, ...}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t\t= {64, 64 × 11, 64 × 102, ...}</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"idf9ef215b7-CharOverride-75\"> MÃkü Au fu, </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">B </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">⊂</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> A.</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-59\">A = B\t</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\">A </span><span class=\"idf9ef215b7-CharOverride-60\">⊂</span><span class=\"idf9ef215b7-CharOverride-58\"> B</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\">B </span><span class=\"idf9ef215b7-CharOverride-60\">⊂</span><span class=\"idf9ef215b7-CharOverride-58\"> A</span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-61\">yuf Ãký Lknª</span></span>"
          },
          "correct_option": "C",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "2",
            "original_raw_text": " A = {64n : n ∈ N}, B = {32n + 2 – 8n – 9, n ∈ N} íkku...",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 35,
          "question_text": "<div class=\"Quest\">\tLke[uLkk Ãkife fÞku øký ¾k÷e øký Au ?</div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-76\"> </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">ynª, rðfÕÃk </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">B : </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-83\" lang=\"en-US\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> + 1 = 0</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = –1</span><span class=\"idf9ef215b7-CharOverride-75\"> su þõÞ LkÚke. </span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> R</span><span class=\"idf9ef215b7-CharOverride-75\"> {kxu,</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"idf9ef215b7-CharOverride-75\"> rðfÕÃk </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">B</span><span class=\"idf9ef215b7-CharOverride-75\"> yu ¾k÷e øký Au.</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\"></span><span class=\"idf9ef215b7-CharOverride-59\"></span><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x </span><span class=\"Normal-English\">| </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English\"> – 1 = 0, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∈</span><span class=\"Normal-English\"> R}</span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-59\"></span><span class=\"idf9ef215b7-CharOverride-58\"></span><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x </span><span class=\"Normal-English\">| </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English\"> + 1 = 0, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∈</span><span class=\"Normal-English\"> R}</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\"></span><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x </span><span class=\"Normal-English\">| </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English\"> – 9 = 0, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∈</span><span class=\"Normal-English\"> R}</span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\"></span><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x </span><span class=\"Normal-English\">| </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English\"> = </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> + 2, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∈</span><span class=\"Normal-English\"> R}</span></span>"
          },
          "correct_option": "B",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "3",
            "original_raw_text": "\tLke[uLkk Ãkife fÞku øký ¾k÷e øký Au ?",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 36,
          "question_text": "<div class=\"Quest\"> <span class=\"Normal-English-Bold\">X = {4</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-53\">n</span><span class=\"Normal-English-Bold\"> – 3</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\"> – 1, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> N}, Y = {9(</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\"> – 1), </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> N}, </span> íkku <span class=\"Normal-English-Bold\">X </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English-Bold\"> Y =</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">________</span><span class=\"Normal-English\">.</span></div>",
          "answer_text": "<div class=\"Quest\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">ynª, </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">X = {4</span><span class=\"Normal-English idf9ef215b7-CharOverride-84\" lang=\"en-US\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> – 3</span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> – 1, </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">n </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-US\">N</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">},</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = 1, 2, 3, ...</span><span class=\"idf9ef215b7-CharOverride-75\"> {qfíkkt,</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">X\t= {0, 9, 54, 243, ...}</span><span class=\"idf9ef215b7-CharOverride-75\"> íkÚkk</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">Y\t= {9(</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 1), </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English-Bold\">N</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">}, </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= 1, 2, 3, ...</span><span class=\"idf9ef215b7-CharOverride-75\"> {qfíkkt,</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">Y\t= {0, 9, 18, 27, ...} </span><span class=\"idf9ef215b7-CharOverride-75\">{¤u.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\tyk{, MÃkü Au fu, </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">X </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">⊂</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> Y.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\tíkuÚke </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">X </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> Y = Y</span><span class=\"idf9ef215b7-CharOverride-75\"> ÚkkÞ.</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-52\">X</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">Y</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English-Bold\">N</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English-Bold\">N – {1}</span></span>"
          },
          "correct_option": "B",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "4",
            "original_raw_text": " X = {4n – 3n – 1, n ∈ N}, Y = {9(n – 1), n ∈ N},  íkku X ∪ Y = ________.",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 37,
          "question_text": "<div class=\"Quest\"> <span class=\"Normal-English-Bold\">U = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x </span><span class=\"Normal-English-Bold\">| </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">5</span><span class=\"Normal-English-Bold\"> – 6</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">4</span><span class=\"Normal-English-Bold\"> + 11</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">3</span><span class=\"Normal-English-Bold\"> – 6</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold\">= 0, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> R},</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold\">A = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x </span><span class=\"Normal-English-Bold\">| </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold\"> – 5</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> + 6 = 0</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> R}, B = </span><span class=\"Normal-English-Bold\">{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x </span><span class=\"Normal-English-Bold\">| </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\"><img alt=\"\" class=\"_idGenObjectAttribute-59\" src=\"Chapter1/75.png\"/></span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold\"> – 3</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> + 2 = 0,</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> R},</span> íkku <span class=\"Normal-English-Bold\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∩</span><span class=\"Normal-English-Bold\"> B)' =</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">________</span><span class=\"Normal-English\">.</span></div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A :\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-83\" lang=\"en-US\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> – 5</span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> + 6\t= 0</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t(</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 3) (</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 2)\t= 0</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = 3, </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = 2</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A\t= {2, 3}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\tB :\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 3</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> + 2\t= 0</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 2) (</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 1)\t= 0</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = 2, </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = 1</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-74\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">B\t= {1, 2}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\tU :\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">5</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 6</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">4</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> + 11</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">3</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 6</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= 0</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-109\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">3</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 6</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> + 11</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 6}\t= 0</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-109\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = 0, </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">3</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 6</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> + 11</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 6 =</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> 0</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-109\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = 0, </span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-109\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\">nðu, </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">3</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 6</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> + 11</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 6</span><span class=\"idf9ef215b7-CharOverride-75\">{kt </span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-109\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = 1</span><span class=\"idf9ef215b7-CharOverride-75\"> {qfíkkt íkuLkwt Mk{kÄkLk ÚkkÞ Au.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\tyk{, </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 1)</span><span class=\"idf9ef215b7-CharOverride-75\"> yuf yðÞð çkLkþu </span><span class=\"idf9ef215b7-CharOverride-75\">íkÚkk </span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">3</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 6</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> + 11</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 6</span><span class=\"idf9ef215b7-CharOverride-75\">Lkk çkeò yðÞð </span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\tþkuÄðk {kxu Lke[u {wsçkLke heíkLkku </span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\tWÃkÞkuøk fheyu.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">1\t1\t–6\t11\t–6</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t0\t1\t–5\t6</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t1\t–5\t6\t0</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"idf9ef215b7-CharOverride-75\">\tçkeòu yðÞð </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">:</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t(</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 5</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> + 6)</span><span class=\"idf9ef215b7-CharOverride-75\"> Úkþu.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 2) (</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 3) </span><span class=\"idf9ef215b7-CharOverride-75\">Úkþu.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\tyk{, </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">3</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 6</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> + 11</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 6 = 0</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴ </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 1) (</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 2) (</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 3) = 0 </span><span class=\"idf9ef215b7-CharOverride-75\">Úkþu.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴ </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = 1, </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = 2, </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = 3</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴ </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">U = {0, 1, 2, 3}</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\tnðu,\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B\t= {2}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B)'\t= {0, 1, 3}</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">{1 , 3}</span><span class=\"idf9ef215b7-CharOverride-59\"> </span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">{1, 2, 3}</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">{0, 1, 3}</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">{0, 1, 2, 3}</span></span>"
          },
          "correct_option": "C",
          "images": [
            {
              "id": "img-0",
              "path": "Chapter1/75.png",
              "position": "stem",
              "context": "5. U = { x | x 5 – 6 x 4 + 11 x 3 – 6 x 2 = 0, x ∈ R}, A = {…"
            }
          ],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "5",
            "original_raw_text": " U = {x | x5 – 6x4 + 11x3 – 6x2 = 0, x ∈ R}, A = {x | x2 – 5x + 6 = 0, x ∈ R}, B = {x | 2 – 3x + 2 = 0, x ∈ R}, íkku (A ∩ B)' = ________.",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 38,
          "question_text": "<div class=\"Quest\">\tøký <span class=\"Normal-English-Bold\">A</span> yLku øký <span class=\"Normal-English-Bold\">B</span>Lku yLkw¢{u <span class=\"Normal-English-Bold\">3</span> yLku <span class=\"Times-English----kT\">6</span> ½xfku Au, íkku <span class=\"Normal-English-Bold\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English-Bold\"> B</span>{kt hnu÷ ykuAk{kt ykuAk ½xfkuLke MktÏÞk ?</div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">øký </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A</span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\"> yLku </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">B</span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\"> {kxu yuf þõÞíkk,</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A = {1, 2, 3},</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\tB = {1, 2, 3, 4, 5, 6}</span><span class=\"idf9ef215b7-CharOverride-75\"> ÷uíkkt,</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B = {1, 2, 3, 4, 5, 6}</span><span class=\"idf9ef215b7-CharOverride-75\"> ÚkkÞ </span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\tyLku çkeS þõÞíkk,</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A = {1, 2, 3},</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\tB = {2, 3, 4, 5, 6, 7}</span><span class=\"idf9ef215b7-CharOverride-75\"> ÷uíkkt,</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B = {1, 2, 3, 4, 5, 6, 7}</span><span class=\"idf9ef215b7-CharOverride-75\"> ÚkkÞ. </span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\tykðe yLkuf þõÞíkkyku rð[khe þfkÞ.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\tyk{, MÃkü Au fu, </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B</span><span class=\"idf9ef215b7-CharOverride-75\">{kt </span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\tykuAk{kt ykuAk </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">6</span><span class=\"idf9ef215b7-CharOverride-75\"> MkÇÞku nkuÞ s.</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">3</span><span class=\"idf9ef215b7-CharOverride-59\"> </span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">9</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">6</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-61\">yuf Ãký Lknª</span></span>"
          },
          "correct_option": "C",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "6",
            "original_raw_text": "\tøký A yLku øký BLku yLkw¢{u 3 yLku 6 ½xfku Au, íkku A ∪ B{kt hnu÷ ykuAk{kt ykuAk ½xfkuLke MktÏÞk ?",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 39,
          "question_text": "<div class=\"Quest\">\tòu <span class=\"Normal-English-Bold\">N</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-50\">a</span><span class=\"Normal-English-Bold\"> = {a</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> N},</span> íkku <span class=\"Normal-English-Bold\">N</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-49\">6</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∩</span><span class=\"Normal-English-Bold\"> N</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-49\">8</span><span class=\"Normal-English-Bold\"> =</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">________</span><span class=\"Normal-English\">.</span></div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-76\"> </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">ynª, </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">N</span><span class=\"Normal-English idf9ef215b7-CharOverride-85\" lang=\"en-US\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">N : </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-US\">N</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">}</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴ </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">N</span><span class=\"Normal-English idf9ef215b7-CharOverride-49\">6</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> N</span><span class=\"Normal-English idf9ef215b7-CharOverride-49\">8</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = {6</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> 8</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">}, </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English-Bold\">N</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\tynª, </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">6</span><span class=\"idf9ef215b7-CharOverride-75\"> yLku </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">8</span><span class=\"idf9ef215b7-CharOverride-75\">Lkku ÷.Mkk.y. </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">24</span><span class=\"idf9ef215b7-CharOverride-75\"> ÚkkÞ.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴ </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">N</span><span class=\"Normal-English idf9ef215b7-CharOverride-49\">6</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> N</span><span class=\"Normal-English idf9ef215b7-CharOverride-49\">8 </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">= N</span><span class=\"Normal-English idf9ef215b7-CharOverride-49\">24</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">N</span><span class=\"Normal-English idf9ef215b7-CharOverride-49\">6</span><span class=\"idf9ef215b7-CharOverride-59\"> </span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">N</span><span class=\"Normal-English idf9ef215b7-CharOverride-49\">8</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">N</span><span class=\"Normal-English idf9ef215b7-CharOverride-49\">24</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">N</span><span class=\"Normal-English idf9ef215b7-CharOverride-49\">44</span></span>"
          },
          "correct_option": "C",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "7",
            "original_raw_text": "\tòu Na = {an : n ∈ N}, íkku N6 ∩ N8 = ________.",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 40,
          "question_text": "<div class=\"Quest\"> <span class=\"Normal-English-Bold\">A = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x </span><span class=\"Normal-English-Bold\">| </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span> yu <span class=\"Normal-English-Bold\">4</span>Lkku økwrýík Au.<span class=\"Normal-English-Bold\">},</span> <span class=\"Normal-English-Bold\">B = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x </span><span class=\"Normal-English-Bold\">| </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span> yu <span class=\"Normal-English-Bold\">6</span>Lkku økwrýík Au.<span class=\"Normal-English-Bold\">}</span> íkku <span class=\"Normal-English-Bold\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∩</span><span class=\"Normal-English-Bold\"> B</span> yu <span class=\"Normal-English idf9ef215b7-CharOverride-52\">__________</span><span class=\"Normal-English idf9ef215b7-CharOverride-15\"> </span>Lkk çkÄk økwrýíkkuLku Mk{kðu Au.</div>",
          "answer_text": "<div class=\"Quest\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-76\"> </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">ynª, </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> B</span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\"> þkuÄðk {kxu </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">4 </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">yLku </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">6 </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">Lkku ÷.Mkk.y. ÷uíkkt su </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">12</span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\"> ÚkkÞ, {kxu </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> B</span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\"> yu </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">12</span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">Lkk økwrýíkkuLkku Mk{kðuþ fhu Au.</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">16</span><span class=\"idf9ef215b7-CharOverride-59\"> </span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">12</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">8</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">4</span></span>"
          },
          "correct_option": "B",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "8",
            "original_raw_text": " A = {x | x yu 4Lkku økwrýík Au.}, B = {x | x yu 6Lkku økwrýík Au.} íkku A ∩ B yu __________ Lkk çkÄk økwrýíkkuLku Mk{kðu Au.",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 41,
          "question_text": "<div class=\"Quest\"> <span class=\"Normal-English-Bold\">A = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> R, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-10\">&gt;</span><span class=\"Normal-English-Bold\"> 2}, B = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x </span><span class=\"Normal-English-Bold\">: </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> R, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> &lt; 4},</span> íkku <span class=\"Normal-English-Bold\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∩</span><span class=\"Normal-English-Bold\"> B =</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">________</span><span class=\"Normal-English\">.</span></div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-76\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A : </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-86\" lang=\"en-US\">&gt;</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> 2, </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> [2, </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∞</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">)</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-46\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\tB : </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> &lt; 4, </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> (–</span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∞</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">, 4)</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-10\"><span class=\"idf9ef215b7-CharOverride-75\"><img alt=\"\" class=\"_idGenObjectAttribute-65\" src=\"Chapter1/107.png\"/></span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\tykÃku÷ WÃkhLke çktLku MktÏÞkhu¾kyku{kt </span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\tAuËøký ÷uíkkt,</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-87\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">[2, 4)</span><span class=\"idf9ef215b7-CharOverride-75\"> {¤u.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴ </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> : </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English-Bold\">R</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">, 2 </span><span class=\"Normal-English idf9ef215b7-CharOverride-88\">&lt;</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> &lt; 4}</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\"><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">\t= 2</span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> B) = K</span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\"> ÷uíkkt,</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-43\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(A) = <img alt=\"\" class=\"_idGenObjectAttribute-66\" src=\"Chapter1/EQ-1221-110108.png\"/>, </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(B) = <img alt=\"\" class=\"_idGenObjectAttribute-66\" src=\"Chapter1/EQ-1221-110118.png\"/>, </span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-31\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B) = <img alt=\"\" class=\"_idGenObjectAttribute-66\" src=\"Chapter1/EQ-1221-110128.png\"/></span><span class=\"idf9ef215b7-CharOverride-75\"> ÚkkÞ.</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-43\"><span class=\"idf9ef215b7-CharOverride-75\">\tíkÚkk </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B) = </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(A) + </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(B) </span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-110\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">– </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B) </span><span class=\"idf9ef215b7-CharOverride-75\">ÃkhÚke,</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-111\"><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\t∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">n(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B)\t= <img alt=\"\" class=\"_idGenObjectAttribute-66\" src=\"Chapter1/EQ-1221-110128.png\"/></span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-112\"><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\t∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">n(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B)\t= <img alt=\"\" class=\"_idGenObjectAttribute-49\" src=\"Chapter1/EQ-1221-110817.png\"/></span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-43\"><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\t∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">n(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B)\t= 90</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-111\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"><img alt=\"\" class=\"_idGenObjectAttribute-66\" src=\"Chapter1/EQ-1221-110128.png\"/>\t= <img alt=\"\" class=\"_idGenObjectAttribute-66\" src=\"Chapter1/EQ-1221-110108.png\"/> + <img alt=\"\" class=\"_idGenObjectAttribute-66\" src=\"Chapter1/EQ-1221-110118.png\"/> – 15</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-111\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"><img alt=\"\" class=\"_idGenObjectAttribute-66\" src=\"Chapter1/EQ-1221-110128.png\"/>\t= <img alt=\"\" class=\"_idGenObjectAttribute-41\" src=\"Chapter1/EQ-1221-110702.png\"/> – 15\t</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-111\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"><img alt=\"\" class=\"_idGenObjectAttribute-66\" src=\"Chapter1/EQ-1221-110128.png\"/>\t= <img alt=\"\" class=\"_idGenObjectAttribute-67\" src=\"Chapter1/EQ-1221-110757.png\"/> </span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-43\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">6K\t= 7K – 180\t</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-43\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">K\t= 180</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-52\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-63\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> : </span><span class=\"Normal-English idf9ef215b7-CharOverride-63\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">R</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-63\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> &lt; 4}</span><span class=\"idf9ef215b7-CharOverride-59\"> </span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> : </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">R</span><span class=\"Normal-English\">, 2 </span><span class=\"Normal-English idf9ef215b7-CharOverride-10\">&lt;</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> &lt; 4}</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">B</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">A</span></span>"
          },
          "correct_option": "B",
          "images": [
            {
              "id": "img-0",
              "path": "Chapter1/107.png",
              "position": "answer",
              "context": ""
            },
            {
              "id": "img-1",
              "path": "Chapter1/EQ-1221-110108.png",
              "position": "answer",
              "context": "∴ n (A) = , n (B) = ,"
            },
            {
              "id": "img-2",
              "path": "Chapter1/EQ-1221-110118.png",
              "position": "answer",
              "context": "∴ n (A) = , n (B) = ,"
            },
            {
              "id": "img-3",
              "path": "Chapter1/EQ-1221-110128.png",
              "position": "answer",
              "context": "n (A ∪ B) = ÚkkÞ."
            },
            {
              "id": "img-4",
              "path": "Chapter1/EQ-1221-110128.png",
              "position": "answer",
              "context": "∴ n(A ∪ B)\t="
            },
            {
              "id": "img-5",
              "path": "Chapter1/EQ-1221-110817.png",
              "position": "answer",
              "context": "∴ n(A ∪ B)\t="
            },
            {
              "id": "img-6",
              "path": "Chapter1/EQ-1221-110128.png",
              "position": "answer",
              "context": "∴ = + – 15"
            },
            {
              "id": "img-7",
              "path": "Chapter1/EQ-1221-110108.png",
              "position": "answer",
              "context": "∴ = + – 15"
            },
            {
              "id": "img-8",
              "path": "Chapter1/EQ-1221-110118.png",
              "position": "answer",
              "context": "∴ = + – 15"
            },
            {
              "id": "img-9",
              "path": "Chapter1/EQ-1221-110128.png",
              "position": "answer",
              "context": "∴ = – 15"
            },
            {
              "id": "img-10",
              "path": "Chapter1/EQ-1221-110702.png",
              "position": "answer",
              "context": "∴ = – 15"
            },
            {
              "id": "img-11",
              "path": "Chapter1/EQ-1221-110128.png",
              "position": "answer",
              "context": "∴ ="
            },
            {
              "id": "img-12",
              "path": "Chapter1/EQ-1221-110757.png",
              "position": "answer",
              "context": "∴ ="
            }
          ],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "9",
            "original_raw_text": " A = {x : x ∈ R, x &gt; 2}, B = {x : x ∈ R, x &lt; 4}, íkku A ∩ B = ________.",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 42,
          "question_text": "<div class=\"Quest\">\tçku yrhõík øký <span class=\"Normal-English-Bold\">A</span> yLku <span class=\"Normal-English-Bold\">B</span> {kxu, <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∩</span><span class=\"Normal-English-Bold\"> B) = 15</span> nkuÞ íkÚkk <span class=\"Normal-English-Bold\">4</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\">(A) = 3</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\">(B) = 2</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English-Bold\"> B),</span> íkku <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English-Bold\"> B) =</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">________</span><span class=\"Normal-English\">.</span></div>",
          "answer_text": "",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">90</span><span class=\"idf9ef215b7-CharOverride-59\"> </span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">180</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">135</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">45</span></span>"
          },
          "correct_option": "A",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "10",
            "original_raw_text": "\tçku yrhõík øký A yLku B {kxu, n(A ∩ B) = 15 nkuÞ íkÚkk 4n(A) = 3n(B) = 2n(A ∪ B), íkku n(A ∪ B) = ________.",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "hints_block",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 43,
          "question_text": "<div class=\"Quest\">\tòu <span class=\"Normal-English-Bold\">A = {(</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">y</span><span class=\"Normal-English-Bold\">) : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold\"> + </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">y</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold\"> = 25}, </span><span class=\"Normal-English-Bold\">B = {(</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">y</span><span class=\"Normal-English-Bold\">) : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold\"> + 9</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">y</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold\"> = 144}</span> íkku <span class=\"Normal-English-Bold\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∩</span><span class=\"Normal-English-Bold\"> B</span>{kt ½xfkuLke MktÏÞk<span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">________</span> Au.</div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A : </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-83\" lang=\"en-US\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> + </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">y</span><span class=\"Normal-English idf9ef215b7-CharOverride-83\" lang=\"en-US\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> = 25,</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-21\"><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">\tB : </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-83\" lang=\"en-US\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> + 9</span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">y</span><span class=\"Normal-English idf9ef215b7-CharOverride-83\" lang=\"en-US\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> = 144</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\t÷kuÃkLke heíkLkku WÃkÞkuøk fhíkkt,</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t+\t9</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">y</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t=\t144</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t+\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">y</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t=\t25</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">–\t\t–\t\t–</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-46\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t\t\t8</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">y</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">=\t119</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-46\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t\t\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">y</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t= <img alt=\"\" class=\"_idGenObjectAttribute-49\" src=\"Chapter1/EQ-1221-120015.png\"/></span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-113\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t\t\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">y</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">± <img alt=\"\" class=\"_idGenObjectAttribute-68\" src=\"Chapter1/EQ-1221-120113.png\"/></span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">→</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> + </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">y</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= 25</span><span class=\"idf9ef215b7-CharOverride-75\"> ÃkhÚke,</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-43\"><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\t∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= 25 – </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">y</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-113\"><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\t∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= 25 – <img alt=\"\" class=\"_idGenObjectAttribute-49\" src=\"Chapter1/EQ-1221-120015.png\"/></span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-46\"><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\t∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= <img alt=\"\" class=\"_idGenObjectAttribute-69\" src=\"Chapter1/EQ-1221-115955.png\"/></span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-46\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= <img alt=\"\" class=\"_idGenObjectAttribute-8\" src=\"Chapter1/EQ-1221-120043.png\"/></span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-43\"><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\t∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">±</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> <img alt=\"\" class=\"_idGenObjectAttribute-70\" src=\"Chapter1/EQ-1221-120138.png\"/></span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-114\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"idf9ef215b7-CharOverride-75\"> fw÷ òuz\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">,</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-114\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> <img alt=\"\" class=\"_idGenObjectAttribute-72\" src=\"Chapter1/EQ-1221-122549.png\"/>,</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-114\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\"> yLku</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-115\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"><img alt=\"\" class=\"_idGenObjectAttribute-72\" src=\"Chapter1/EQ-1221-122505.png\"/></span><span class=\"idf9ef215b7-CharOverride-75\"> {¤u.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"idf9ef215b7-CharOverride-75\"> Mkk{kLÞ ½xfkuLke MktÏÞk </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">4</span><span class=\"idf9ef215b7-CharOverride-75\"> Au.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴ </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B) = 4</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">1</span><span class=\"idf9ef215b7-CharOverride-59\"> </span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">2</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">3</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">4</span></span>"
          },
          "correct_option": "D",
          "images": [
            {
              "id": "img-0",
              "path": "Chapter1/EQ-1221-120015.png",
              "position": "answer",
              "context": "∴ y 2 ="
            },
            {
              "id": "img-1",
              "path": "Chapter1/EQ-1221-120113.png",
              "position": "answer",
              "context": "∴ y = ±"
            },
            {
              "id": "img-2",
              "path": "Chapter1/EQ-1221-120015.png",
              "position": "answer",
              "context": "∴ x 2 = 25 –"
            },
            {
              "id": "img-3",
              "path": "Chapter1/EQ-1221-115955.png",
              "position": "answer",
              "context": "∴ x 2 ="
            },
            {
              "id": "img-4",
              "path": "Chapter1/EQ-1221-120043.png",
              "position": "answer",
              "context": "x 2 ="
            },
            {
              "id": "img-5",
              "path": "Chapter1/EQ-1221-120138.png",
              "position": "answer",
              "context": "∴ x = ±"
            },
            {
              "id": "img-6",
              "path": "Chapter1/EQ-1221-122549.png",
              "position": "answer",
              "context": ","
            },
            {
              "id": "img-7",
              "path": "Chapter1/EQ-1221-122505.png",
              "position": "answer",
              "context": "{¤u."
            }
          ],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "11",
            "original_raw_text": "\tòu A = {(x, y) : x2 + y2 = 25}, B = {(x, y) : x2 + 9y2 = 144} íkku A ∩ B{kt ½xfkuLke MktÏÞk ________ Au.",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 44,
          "question_text": "<div class=\"Quest\"> <span class=\"Normal-English-Bold\">A = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold\"> – 2</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> + 2 &gt; 0}, B = </span><span class=\"Normal-English-Bold\">{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold\"> – 4</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> + 3 </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-10\">&lt;</span><span class=\"Normal-English-Bold\"> 0}</span> íkku <span class=\"Normal-English-Bold\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∩</span><span class=\"Normal-English-Bold\"> B = ?</span></div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A : </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-83\" lang=\"en-US\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> – 2</span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> + 2 &gt; 0</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\tynª, </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 2</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> + 2</span><span class=\"idf9ef215b7-CharOverride-75\"> yu fkuE Ãký </span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> R</span><span class=\"idf9ef215b7-CharOverride-75\"> {kxu ÄLk nkuÞ</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴ </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A = (–</span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∞</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∞</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">)</span><span class=\"idf9ef215b7-CharOverride-75\"> yÚkðk </span><span class=\"Normal-English-Bold\">R</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">B : </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 4</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> + 3 </span><span class=\"Normal-English idf9ef215b7-CharOverride-88\">&lt;</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> 0</span></div>\n<div class=\"Quest-copy-2 idf9ef215b7-ParaOverride-33\"><span class=\"Normal-English\"><img alt=\"\" class=\"_idGenObjectAttribute-73\" src=\"Chapter1/109.png\"/></span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 3) (</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 1) </span><span class=\"Normal-English idf9ef215b7-CharOverride-88\">&lt;</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> 0</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> [1, 3] : B</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B\t= (–</span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∞</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∞</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">) </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> [1, 3] </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t\t= [1, 3]</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">[1, </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∞</span><span class=\"Normal-English\">)</span><span class=\"idf9ef215b7-CharOverride-59\"> </span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">[1, 3]</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">(–</span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∞</span><span class=\"Normal-English\">, 3]</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">(–</span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∞</span><span class=\"Normal-English\">, 1) </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∪</span><span class=\"Normal-English\"> (3, </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∞</span><span class=\"Normal-English\">)</span></span>"
          },
          "correct_option": "B",
          "images": [
            {
              "id": "img-0",
              "path": "Chapter1/109.png",
              "position": "answer",
              "context": ""
            }
          ],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "12",
            "original_raw_text": " A = {x : x2 – 2x + 2 &gt; 0}, B = {x : x2 – 4x + 3 &lt; 0} íkku A ∩ B = ?",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 45,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-101\"> <span class=\"Normal-English-Bold\">A =\t{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span>yu <span class=\"Normal-English-Bold\">240</span>Lkk yrð¼kßÞ yðÞð Au.<span class=\"Normal-English-Bold\">}, </span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-23\"><span class=\"Normal-English-Bold\">\tB =\t{</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span>yu <span class=\"Normal-English-Bold\">240</span>Lkk fkuE Ãký çku yrð¼kßÞ yðÞðLkku Mkhðk¤ku<span class=\"Normal-English-Bold\">} </span>nkuÞ íkku... </div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">240\t= 24 </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">×</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> 10</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t\t= </span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">3 </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">×</span><span class=\"Normal-English idf9ef215b7-CharOverride-89\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">2 </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">×</span><span class=\"Normal-English idf9ef215b7-CharOverride-89\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">2 </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">×</span><span class=\"Normal-English idf9ef215b7-CharOverride-89\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">2 </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">×</span><span class=\"Normal-English idf9ef215b7-CharOverride-89\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">5 </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">×</span><span class=\"Normal-English idf9ef215b7-CharOverride-89\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">2</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t\t= </span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\" lang=\"en-US\">4</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">×</span><span class=\"Normal-English idf9ef215b7-CharOverride-89\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">3 </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">×</span><span class=\"Normal-English idf9ef215b7-CharOverride-89\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">5</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">\\</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">\tA\t= {2, 3, 5}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">\t\tB\t= {5, 8, 7}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">\t\t(</span><span class=\"Normal-English idf9ef215b7-CharOverride-90\" lang=\"en-US\"></span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">\t2 + 3 = 5, </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">\t\t\t3 + 5 = 8,</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">\t\t\t2 + 5 = 7)</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\tnðu,\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩ </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">B = {5}, </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\tA </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪ </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">B = {2, 3, 5, 7, 8}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\">yk{, rðfÕÃk </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">[D]</span><span class=\"idf9ef215b7-CharOverride-75\"> MkíÞ Au.</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">5</span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∉ </span><span class=\"Normal-English\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∩ </span><span class=\"Normal-English\">B</span><span class=\"idf9ef215b7-CharOverride-59\"> </span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">7</span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∈ </span><span class=\"Normal-English\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∩ </span><span class=\"Normal-English\">B</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">8</span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∈ </span><span class=\"Normal-English\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∩ </span><span class=\"Normal-English\">B</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">8</span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∈ </span><span class=\"Normal-English\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∪ </span><span class=\"Normal-English\">B</span></span>"
          },
          "correct_option": "D",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-101",
            "source_number": "13",
            "original_raw_text": " A =\t{x : xyu 240Lkk yrð¼kßÞ yðÞð Au.}, \n\tB =\t{x : xyu 240Lkk fkuE Ãký çku yrð¼kßÞ yðÞðLkku Mkhðk¤ku} nkuÞ íkku... ",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 46,
          "question_text": "<div class=\"Quest\">\tòu <span class=\"Normal-English-Bold\">A, B, C </span>yu yLkw¢{u<span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-65\">Student, Progress</span><span class=\"Normal-English-Bold\"> </span>yLku <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-65\">Congruent </span>þçËLkk {q¤kûkhkuLkku øký nkuÞ íkku <span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\">[A </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∪ (</span><span class=\"Normal-English-Bold\">B </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∩ </span><span class=\"Normal-English-Bold\">C</span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">)]</span><span class=\"Normal-English-Bold\"> = </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">________</span></div>",
          "answer_text": "<div class=\"Quest\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A = {S, T, U, D, E, N}</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-43\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\tB = {P</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">,</span><span class=\"Normal-English idf9ef215b7-CharOverride-49\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">R</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">,</span><span class=\"Normal-English idf9ef215b7-CharOverride-49\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">O</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">,</span><span class=\"Normal-English idf9ef215b7-CharOverride-49\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">G</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">,</span><span class=\"Normal-English idf9ef215b7-CharOverride-49\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">E</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">S}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\tC = {C</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">,</span><span class=\"Normal-English idf9ef215b7-CharOverride-49\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">O</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">,</span><span class=\"Normal-English idf9ef215b7-CharOverride-49\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">N</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">G</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">R</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">U</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">E</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">T}</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\tnðu, </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">B </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩ </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">C = {R, O, G, E}</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\tíkÚkk, </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪ </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(B </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩ </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">C) </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t= {S, T, U, D</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">, E, N, R, O, G}</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-43\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">\\</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">[A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> (B </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">∩ </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">C)] = 9</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation idf9ef215b7-ParaOverride-102\"><span class=\"Normal-English idf9ef215b7-CharOverride-66\" lang=\"en-GB\">8</span></span>",
            "B": "<span class=\"MCQ-Equation idf9ef215b7-ParaOverride-102\"><span class=\"Normal-English idf9ef215b7-CharOverride-66\" lang=\"en-GB\">9</span></span>",
            "C": "<span class=\"MCQ-Equation idf9ef215b7-ParaOverride-102\"><span class=\"Normal-English idf9ef215b7-CharOverride-66\" lang=\"en-GB\">10</span></span>",
            "D": "<span class=\"MCQ-Equation idf9ef215b7-ParaOverride-102\"><span class=\"Normal-English idf9ef215b7-CharOverride-66\" lang=\"en-GB\">11</span></span>"
          },
          "correct_option": "B",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "14",
            "original_raw_text": "\tòu A, B, C yu yLkw¢{u Student, Progress yLku Congruent þçËLkk {q¤kûkhkuLkku øký nkuÞ íkku  n[A ∪ (B ∩ C)] = ________",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 47,
          "question_text": "<div class=\"Quest\">\tòu <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\">(A) = 25, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\">(B) = 20, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\">(C) = 27, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∩</span><span class=\"Normal-English-Bold\"> B) = 5,</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∩ </span><span class=\"Normal-English-Bold\">C) = 7, (B </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∩</span><span class=\"Normal-English-Bold\"> C) = </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">φ</span> íkku <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English-Bold\"> B </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English-Bold\"> C) =</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">________</span><span class=\"Normal-English\">.</span></div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-76\"> </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">ynª, </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">B </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> C = </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">φ</span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\"> nkuðkÚke, </span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-21\"><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">(B </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> C) = 0</span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\"> ÚkkÞ.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\tnðu, </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> C) </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t=\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(A) + </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(B) + </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(C) </span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-33\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">– </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B)</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(B </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> C) </span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-33\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">– </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(C </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> A) + </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> C)</span><span class=\"idf9ef215b7-CharOverride-75\"> </span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-33\"><span class=\"idf9ef215b7-CharOverride-75\">ÃkhÚke,</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> C) </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t= 25 + 20 + 27 – 5 – 7 – 0 + 0</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t= 60</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\t(</span><span class=\"Normal-English idf9ef215b7-CharOverride-81\"></span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> C = </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">φ</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\t∴ </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> C = A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">φ</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">φ</span><span class=\"idf9ef215b7-CharOverride-75\"> ÚkkÞ.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴ </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> C) = 0</span><span class=\"idf9ef215b7-CharOverride-75\"> ÚkkÞ.)</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">65</span><span class=\"idf9ef215b7-CharOverride-59\"> </span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">60</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">68</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">72</span></span>"
          },
          "correct_option": "B",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "15",
            "original_raw_text": "\tòu n(A) = 25, n(B) = 20, n(C) = 27, n(A ∩ B) = 5, n(A ∩ C) = 7, (B ∩ C) = φ íkku n(A ∪ B ∪ C) = ________.",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 48,
          "question_text": "<div class=\"Quest\">\tºký y÷øk øký <span class=\"Normal-English-Bold\">A, B</span> yLku <span class=\"Normal-English-Bold\">C</span> {kxu òu <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\">(A) = 10, <br/></span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\">(B) = 6</span> yLku <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\">(C) = 5,</span> íkku <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English-Bold\"> B </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English-Bold\"> C) = ?</span></div>",
          "answer_text": "<div class=\"Quest\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">ynª, ºkýuÞ øký </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A, B, C</span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\"> ÃkhMÃkh y÷øk øký nkuðkÚke, </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> B = </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">φ</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">, B </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> C = </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">φ</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">, C </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> A = </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">φ</span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\"> </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">íkÚkk </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> B </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> C = </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">φ</span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\"> ÚkkÞ.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴ </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> C) = </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(A) + </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(B)</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-33\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">+ </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(C)</span><span class=\"idf9ef215b7-CharOverride-75\"> ÚkkÞ.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴ </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> C)\t= 10 + 6 + 5 </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t\t= 21</span><span class=\"idf9ef215b7-CharOverride-75\"> ÚkkÞ.</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">21</span><span class=\"idf9ef215b7-CharOverride-59\"> </span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">11</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">1</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">9</span></span>"
          },
          "correct_option": "A",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "16",
            "original_raw_text": "\tºký y÷øk øký A, B yLku C {kxu òu n(A) = 10, n(B) = 6 yLku n(C) = 5, íkku n(A ∪ B ∪ C) = ?",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 49,
          "question_text": "<div class=\"Quest\"> <span class=\"Normal-English-Bold\">{(</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">a</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">b</span><span class=\"Normal-English-Bold\">) : 2</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">a</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold\"> + 3</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">b</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold\"> = 35, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">a</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">b</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> Z}</span> íkku øký{kt ykðu÷k MkÇÞkuLke MktÏÞk<span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">________</span><span class=\"Normal-English idf9ef215b7-CharOverride-15\"> </span>Au.</div>",
          "answer_text": "<div class=\"Quest\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">ynª, </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">b</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-US\">Z</span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\"> nkuðkÚke ykÃku÷ Mk{efhý{kt </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">b</span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">Lke y÷øk y÷øk ÃkqýkOf ®f{íkku {qfe </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">a</span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">Lke y÷øk y÷øk ÃkqýkOf ®f{íkku þkuÄíkkt,</span></div>\n<div class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-91\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">+ 3</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">b</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = 35</span><span class=\"idf9ef215b7-CharOverride-91\"> ÃkhÚke,</span></div>\n<div class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-91\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-60\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = 35 – 3</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">b</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span></div>\n<div class=\"MCQ-Equation idf9ef215b7-ParaOverride-107\"><span class=\"Normal-English idf9ef215b7-CharOverride-9\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-60\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = <img alt=\"\" class=\"_idGenObjectAttribute-74\" src=\"Chapter1/EQ-1221-093403.png\"/></span></div>\n<div class=\"MCQ-Equation idf9ef215b7-ParaOverride-43\"><span class=\"idf9ef215b7-CharOverride-91\"> </span><span class=\"idf9ef215b7-CharOverride-92\">→</span><span class=\"idf9ef215b7-CharOverride-91\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">b</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= 1</span><span class=\"idf9ef215b7-CharOverride-91\"> ÷uíkkt,</span></div>\n<div class=\"MCQ-Equation idf9ef215b7-ParaOverride-46\"><span class=\"idf9ef215b7-CharOverride-91\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-60\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= <img alt=\"\" class=\"_idGenObjectAttribute-75\" src=\"Chapter1/EQ-1221-093637.png\"/></span></div>\n<div class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-60\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= 16</span></div>\n<div class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-60\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= </span><span class=\"Normal-English idf9ef215b7-CharOverride-60\">±</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> 4</span></div>\n<div class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-91\">\tyk{, </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(4, 1), (–4, 1)</span><span class=\"idf9ef215b7-CharOverride-91\"> {¤u.</span></div>\n<div class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-91\"> </span><span class=\"idf9ef215b7-CharOverride-92\">→</span><span class=\"idf9ef215b7-CharOverride-91\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">b</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= 3</span><span class=\"idf9ef215b7-CharOverride-91\"> ÷uíkkt,</span></div>\n<div class=\"MCQ-Equation idf9ef215b7-ParaOverride-46\"><span class=\"idf9ef215b7-CharOverride-91\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= <img alt=\"\" class=\"_idGenObjectAttribute-75\" src=\"Chapter1/EQ-1221-094053.png\"/></span></div>\n<div class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= 4</span></div>\n<div class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= </span><span class=\"Normal-English idf9ef215b7-CharOverride-60\">±</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> 2</span></div>\n<div class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-91\">\tyk{, </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(2, 3), (–2, 3)</span><span class=\"idf9ef215b7-CharOverride-91\"> {¤u.</span></div>\n<div class=\"MCQ-Equation idf9ef215b7-ParaOverride-43\"><span class=\"idf9ef215b7-CharOverride-91\"> </span><span class=\"idf9ef215b7-CharOverride-92\">→</span><span class=\"idf9ef215b7-CharOverride-91\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">b</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= –1</span><span class=\"idf9ef215b7-CharOverride-91\"> ÷uíkkt,</span></div>\n<div class=\"MCQ-Equation idf9ef215b7-ParaOverride-46\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-60\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= <img alt=\"\" class=\"_idGenObjectAttribute-76\" src=\"Chapter1/EQ-1221-093700.png\"/></span></div>\n<div class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-60\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= 16</span></div>\n<div class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-60\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">a\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">= </span><span class=\"Normal-English idf9ef215b7-CharOverride-60\">±</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> 4</span></div>\n<div class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-91\"> </span><span class=\"idf9ef215b7-CharOverride-91\">yk{, </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(4, –1), (–4, –1)</span><span class=\"idf9ef215b7-CharOverride-91\"> {¤u.</span></div>\n<div class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-91\"> </span><span class=\"idf9ef215b7-CharOverride-92\">→</span><span class=\"idf9ef215b7-CharOverride-91\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">b</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= –3</span><span class=\"idf9ef215b7-CharOverride-91\"> ÷uíkkt,</span></div>\n<div class=\"MCQ-Equation idf9ef215b7-ParaOverride-31\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= <img alt=\"\" class=\"_idGenObjectAttribute-76\" src=\"Chapter1/EQ-1221-094114.png\"/></span></div>\n<div class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= 4</span></div>\n<div class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= </span><span class=\"Normal-English idf9ef215b7-CharOverride-60\">±</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> 2</span></div>\n<div class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-91\">\t\tyk{, </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(2, –3), (–2, –3)</span><span class=\"idf9ef215b7-CharOverride-91\"> {¤u.</span></div>\n<div class=\"Body-text-for-Q---A\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"idf9ef215b7-CharOverride-75\">yk{,</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"idf9ef215b7-CharOverride-75\">fw÷</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">,</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">b</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">)</span><span class=\"idf9ef215b7-CharOverride-75\">Lke</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">8</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"idf9ef215b7-CharOverride-75\">òuz</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"idf9ef215b7-CharOverride-75\">{¤u.</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">2</span><span class=\"idf9ef215b7-CharOverride-59\"> </span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">4</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">8</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">12</span></span>"
          },
          "correct_option": "C",
          "images": [
            {
              "id": "img-0",
              "path": "Chapter1/EQ-1221-093403.png",
              "position": "answer",
              "context": "∴ a 2 ="
            },
            {
              "id": "img-1",
              "path": "Chapter1/EQ-1221-093637.png",
              "position": "answer",
              "context": "∴ a 2 ="
            },
            {
              "id": "img-2",
              "path": "Chapter1/EQ-1221-094053.png",
              "position": "answer",
              "context": "a 2 ="
            },
            {
              "id": "img-3",
              "path": "Chapter1/EQ-1221-093700.png",
              "position": "answer",
              "context": "∴ a 2 ="
            },
            {
              "id": "img-4",
              "path": "Chapter1/EQ-1221-094114.png",
              "position": "answer",
              "context": "a 2 ="
            }
          ],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "17",
            "original_raw_text": " {(a, b) : 2a2 + 3b2 = 35, a, b ∈ Z} íkku øký{kt ykðu÷k MkÇÞkuLke MktÏÞk ________ Au.",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 50,
          "question_text": "<div class=\"Quest\"> <span class=\"Normal-English-Bold\">A = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> </span>yu <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold\"> – 1 = 0</span>Lkwt çkes nkuÞ<span class=\"Normal-English-Bold\">},</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-46\"><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-46\">B = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-47\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-46\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-47\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-46\"> </span><span class=\"idf9ef215b7-CharOverride-39\">yu </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-47\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-48\">2</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-46\"> – 2</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-47\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-46\"> + 1 = 0</span><span class=\"idf9ef215b7-CharOverride-39\">Lkwt çkes nkuÞ</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-46\">} </span><span class=\"idf9ef215b7-CharOverride-39\">íkku...</span></div>",
          "answer_text": "<div class=\"Quest\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">ynª, </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">{kxu,</span></div>\n<div class=\"Normal\"><span class=\"Normal-English idf9ef215b7-CharOverride-21\">\t\tx</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 1\t= 0</span></div>\n<span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t(</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 1) (</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> + 1)\t= 0</span>\n<span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= 1, –1</span>\n<span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\tA\t= {1, –1}</span>\n<div class=\"Normal\"><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\t∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\tB\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">⊂</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> C </span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">B</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\">{kxu,</span></div>\n<div class=\"Normal\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 2</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> + 1\t= 0</span></div>\n<span class=\"Normal-English idf9ef215b7-CharOverride-19\">\t∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t(</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 1)</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= 0</span>\n<span class=\"Normal-English idf9ef215b7-CharOverride-19\">\t∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= 1</span>\n<span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\tB\t= {1}</span>\n<div class=\"Normal\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\tA\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B = A</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation idf9ef215b7-ParaOverride-43\"><span class=\"Normal-English idf9ef215b7-CharOverride-52\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> B = B</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation idf9ef215b7-ParaOverride-43\"><span class=\"Normal-English\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∩</span><span class=\"Normal-English\"> B = A</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-67\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-68\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-67\"> B = A</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∩</span><span class=\"Normal-English\"> B = </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">φ</span></span>"
          },
          "correct_option": "C",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "18",
            "original_raw_text": " A = {x : x yu x2 – 1 = 0Lkwt çkes nkuÞ},\n B = {x : x yu x2 – 2x + 1 = 0Lkwt çkes nkuÞ} íkku...",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 51,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\">\tøký\t<span class=\"Normal-English-Bold\">A = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> R, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">4</span><span class=\"Normal-English-Bold\"> – </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">3</span><span class=\"Normal-English-Bold\"> – 2</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold\"> + 2</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\"><img alt=\"\" class=\"_idGenObjectAttribute-59\" src=\"Chapter1/75.png\"/></span><span class=\"Normal-English-Bold\"> = 0},</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\"><span class=\"Normal-English-Bold\">\t\t\tB = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> N, 2</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold\"> – 1 &lt; 7}, </span>íkku...</div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">øký </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">{kxu,</span></div>\n<div class=\"Normal idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English idf9ef215b7-CharOverride-21\">\t\tx</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">3</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 2</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> + 2</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= 0</span></div>\n<div class=\"idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">3</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 2</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> + 2)\t= 0</span></div>\n<div class=\"idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 1) – 2(</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 1))\t= 0</span></div>\n<div class=\"idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 1) (</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 2)\t= 0</span></div>\n<div class=\"idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = 0, </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = 1, </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= ± <img alt=\"\" class=\"_idGenObjectAttribute-28\" src=\"Chapter1/EQ-1015-143515.png\"/></span></div>\n<div class=\"idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t   A = {0, 1, <img alt=\"\" class=\"_idGenObjectAttribute-28\" src=\"Chapter1/EQ-1015-143515.png\"/>, –<img alt=\"\" class=\"_idGenObjectAttribute-28\" src=\"Chapter1/EQ-1015-143515.png\"/>}</span></div>\n<div class=\"Body-text-for-Q---A idf9ef215b7-ParaOverride-1\"><span class=\"idf9ef215b7-CharOverride-75\">øký</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">B</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\">{kxu,</span></div>\n<div class=\"Normal idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t2</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> + &lt; 7</span></div>\n<div class=\"idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t2</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> &lt; 8</span></div>\n<div class=\"idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> &lt; 4</span></div>\n<div class=\"idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = 1\t(</span><span class=\"Normal-English idf9ef215b7-CharOverride-81\"></span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English-Bold\">N</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">)</span></div>\n<div class=\"idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">B =</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">{1}</span></div>\n<div class=\"Normal\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\" lang=\"en-US\">yk{, MÃkü Au fu </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">B </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">⊂</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> A.</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation idf9ef215b7-ParaOverride-43\"><span class=\"Normal-English idf9ef215b7-CharOverride-52\">A = B</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation idf9ef215b7-ParaOverride-43\"><span class=\"Normal-English\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">⊂</span><span class=\"Normal-English\"> B</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-52\">B </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">⊂</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> A</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∩</span><span class=\"Normal-English\"> B = </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">φ</span></span>"
          },
          "correct_option": "C",
          "images": [
            {
              "id": "img-0",
              "path": "Chapter1/75.png",
              "position": "stem",
              "context": "19. øký A = { x : x ∈ R, x 4 – x 3 – 2 x 2 + 2 = 0},"
            },
            {
              "id": "img-0",
              "path": "Chapter1/EQ-1015-143515.png",
              "position": "answer",
              "context": "∴ x = 0, x = 1, x = ±"
            },
            {
              "id": "img-1",
              "path": "Chapter1/EQ-1015-143515.png",
              "position": "answer",
              "context": "∴ A = {0, 1, , – }"
            },
            {
              "id": "img-2",
              "path": "Chapter1/EQ-1015-143515.png",
              "position": "answer",
              "context": "∴ A = {0, 1, , – }"
            }
          ],
          "tables": [],
          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-6",
            "source_number": "19",
            "original_raw_text": "\tøký\tA = {x : x ∈ R, x4 – x3 – 2x2 + 2 = 0},\n\t\t\tB = {x : x ∈ N, 2x2 – 1 &lt; 7}, íkku...",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 52,
          "question_text": "<div class=\"Quest\">\tòu <span class=\"Normal-English-Bold\">U </span>yu Mkkðorºkf øký nkuÞ íkÚkk <span class=\"Normal-English-Bold\">A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English-Bold\"> B </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English-Bold\"> C = U, </span>íkku <span class=\"Normal-English-Bold\">[(A – B) </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English-Bold\"> (B – C) </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English-Bold\"> (C – A)]' = </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">________</span><span class=\"Normal-English\">.</span></div>",
          "answer_text": "<div class=\"Quest\"><span class=\"idf9ef215b7-CharOverride-75\"> </span></div>\n<div class=\"Normal idf9ef215b7-ParaOverride-3\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"><img alt=\"\" class=\"_idGenObjectAttribute-77\" src=\"Chapter1/110.png\"/></span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-3\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-93\">(A – B) </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-93\"> (B – C) </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-93\"> (C – A)</span></div>\n<div class=\"Normal\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\">ðuLk ykf]rík ÃkhÚke MÃkü Au fu,</span></div>\n<div class=\"Normal\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">[(A – B) </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> (B – C) </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> (C – A)]' </span></div>\n<div class=\"Normal idf9ef215b7-ParaOverride-33\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= A </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> C</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation idf9ef215b7-ParaOverride-43\"><span class=\"Normal-English idf9ef215b7-CharOverride-52\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> B </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> C</span><span class=\"idf9ef215b7-CharOverride-58\"> </span><span class=\"idf9ef215b7-CharOverride-59\"></span></span>",
            "B": "<span class=\"MCQ-Equation idf9ef215b7-ParaOverride-43\"><span class=\"Normal-English idf9ef215b7-CharOverride-52\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> B </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> C</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∪</span><span class=\"Normal-English\"> (B </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∩</span><span class=\"Normal-English\"> C)</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∩</span><span class=\"Normal-English\"> (B </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∪</span><span class=\"Normal-English\"> C)</span></span>"
          },
          "correct_option": "B",
          "images": [
            {
              "id": "img-0",
              "path": "Chapter1/110.png",
              "position": "answer",
              "context": ""
            }
          ],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "20",
            "original_raw_text": "\tòu U yu Mkkðorºkf øký nkuÞ íkÚkk A ∪ B ∪ C = U, íkku [(A – B) ∪ (B – C) ∪ (C – A)]' = ________.",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 53,
          "question_text": "<div class=\"Quest\">\tçku MkkLík økýkuLku yLkw¢{u <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">m</span><span class=\"Normal-English-Bold\"> </span>yLku<span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\"> </span>MkÇÞku Au <span class=\"Normal-English-Bold\">(</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">m</span><span class=\"Normal-English-Bold\"> &gt; </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\">)</span><span class=\"Normal-English\"> </span>íkÚkk «Úk{ økýLkk WÃkøkýkuLke MktÏÞk yu çkeò økýLkk WÃkøkýkuLke MktÏÞk fhíkkt <span class=\"Normal-English-Bold\">112 </span>sux÷e ðÄkhu nkuÞ, íkku <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">mn</span><span class=\"Normal-English-Bold\"> = ?</span></div>",
          "answer_text": "<div class=\"Quest\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"idf9ef215b7-CharOverride-77\">ynª,</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">\t2</span><span class=\"Normal-English idf9ef215b7-CharOverride-84\" lang=\"en-US\">m</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">\t= 2</span><span class=\"Normal-English idf9ef215b7-CharOverride-84\" lang=\"en-US\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> + 112</span></div>\n<div class=\"Normal idf9ef215b7-ParaOverride-31\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-13\" lang=\"en-US\">m</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> – 2</span><span class=\"Normal-English idf9ef215b7-CharOverride-13\" lang=\"en-US\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">\t= 112</span></div>\n<div class=\"Normal idf9ef215b7-ParaOverride-31\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-13\" lang=\"en-US\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">(2</span><span class=\"Normal-English idf9ef215b7-CharOverride-13\" lang=\"en-US\">m</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\" lang=\"en-US\"> – </span><span class=\"Normal-English idf9ef215b7-CharOverride-13\" lang=\"en-US\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> – 1)\t= 2</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\" lang=\"en-US\">4</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">×</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> 7</span></div>\n<div class=\"Normal idf9ef215b7-ParaOverride-31\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-13\" lang=\"en-US\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">(2</span><span class=\"Normal-English idf9ef215b7-CharOverride-13\" lang=\"en-US\">m</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\" lang=\"en-US\"> – </span><span class=\"Normal-English idf9ef215b7-CharOverride-13\" lang=\"en-US\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> – 1)\t</span></div>\n<div class=\"Normal\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">\t\t\t= 2</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\" lang=\"en-US\">4</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">×</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> (2</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\" lang=\"en-US\">3</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> – 1)</span></div>\n<div class=\"Normal\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> = 4 </span><span class=\"idf9ef215b7-CharOverride-75\">yLku</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">m</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> – </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">\t= 3</span></div>\n<div class=\"Normal\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">m</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> – 4\t= 3</span></div>\n<div class=\"Normal\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">m</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">\t= 7</span></div>\n<div class=\"Normal\"><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">\t∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">mn</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">\t= 4 </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">×</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> 7</span></div>\n<div class=\"Normal\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">\t\t\t= 28</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-113\"></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-52\">46</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">36</span><span class=\"idf9ef215b7-CharOverride-58\"> </span><span class=\"idf9ef215b7-CharOverride-59\"></span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-52\">28</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">18</span></span>"
          },
          "correct_option": "C",
          "images": [
            {
              "id": "img-0",
              "path": "Chapter1/111.png",
              "position": "answer",
              "context": "22."
            }
          ],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "21",
            "original_raw_text": "\tçku MkkLík økýkuLku yLkw¢{u m yLku n MkÇÞku Au (m &gt; n) íkÚkk «Úk{ økýLkk WÃkøkýkuLke MktÏÞk yu çkeò økýLkk WÃkøkýkuLke MktÏÞk fhíkkt 112 sux÷e ðÄkhu nkuÞ, íkku mn = ?",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 54,
          "question_text": "<div class=\"Quest\">\tyMk{íkk <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">4</span><span class=\"Normal-English-Bold\"> – 29</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold\"> + 100 &lt; 0</span>Lkwt Mk{kÄkLk fhíke <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span>Lke <span class=\"Normal-English idf9ef215b7-CharOverride-52\">_______</span><span class=\"Normal-English idf9ef215b7-CharOverride-15\"> </span>®f{íkku {¤u. (ßÞkt, <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\"> </span><span class=\"Normal-English-Bold\">Z</span>)</div>",
          "answer_text": "",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-52\">8</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">6</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">4</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">2</span></span>"
          },
          "correct_option": "C",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "22",
            "original_raw_text": "\tyMk{íkk x4 – 29x2 + 100 &lt; 0Lkwt Mk{kÄkLk fhíke xLke _______ ®f{íkku {¤u. (ßÞkt, x ∈ Z)",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "inline_key",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 55,
          "question_text": "<div class=\"Quest\">\tòu <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\">(A) = 10, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\">(B) = 15, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\">(A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English-Bold\"> B) = </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x,</span><span class=\"Normal-English-Bold\"> </span>íkku...</div>",
          "answer_text": "",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation idf9ef215b7-ParaOverride-43\"><span class=\"Normal-English idf9ef215b7-CharOverride-52\">15 &lt; </span><span class=\"Normal-English idf9ef215b7-CharOverride-63\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> &lt; 25</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation idf9ef215b7-ParaOverride-43\"><span class=\"Normal-English\">5 &lt; </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> &lt; 15</span></span>",
            "C": "<span class=\"MCQ-Equation idf9ef215b7-ParaOverride-43\"><span class=\"Normal-English idf9ef215b7-CharOverride-52\">15 &lt; </span><span class=\"Normal-English idf9ef215b7-CharOverride-63\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> &lt; 25</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation idf9ef215b7-ParaOverride-43\"><span class=\"Normal-English\">5 &lt; </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> &lt; 25</span></span>"
          },
          "correct_option": "A",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "23",
            "original_raw_text": "\tòu n(A) = 10, n(B) = 15, n(A ∪ B) = x, íkku...",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "hints_block",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 56,
          "question_text": "<div class=\"Quest\">\tòu <span class=\"Normal-English-Bold\">U = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> N, 2 &lt; </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> &lt; 12}, A = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">| x </span>yu çkufe yrð¼kßÞ MktÏÞk Au.<span class=\"Normal-English-Bold\">} B = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> : </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> </span>yu <span class=\"Normal-English-Bold\">12</span>Lkk yðÞð nkuÞ<span class=\"Normal-English-Bold\">}, </span>íkku Lke[uLkk{ktÚke fÞwt MkíÞ LkÚke ?</div>",
          "answer_text": "<div class=\"Quest\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A = {2}\t</span></div>\n<div class=\"Normal\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\tB = {1, 3, 4, 2, 6, 12}</span></div>\n<div class=\"Normal\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\" lang=\"en-US\">ykÃkýu ò</span><span class=\"idf9ef215b7-CharOverride-75\" lang=\"en-US\">ýeyu Aeyu fu,</span></div>\n<div class=\"Normal\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\tA – B = A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B'</span></div>\n<div class=\"Normal\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t(B) </span><span class=\"idf9ef215b7-CharOverride-75\" lang=\"en-US\">yu MkíÞ LkÚke.</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-52\">A – B = </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">φ\t</span><span class=\"idf9ef215b7-CharOverride-59\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-52\">A – B = B </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> A'</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">A' – B' = B – A</span><span class=\"idf9ef215b7-CharOverride-58\"> </span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∩</span><span class=\"Normal-English\"> B)' = A' </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∪</span><span class=\"Normal-English\"> B'</span></span>"
          },
          "correct_option": "B",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "24",
            "original_raw_text": "\tòu U = {x : x ∈ N, 2 &lt; x &lt; 12}, A = {x | x yu çkufe yrð¼kßÞ MktÏÞk Au.} B = {x : x yu 12Lkk yðÞð nkuÞ}, íkku Lke[uLkk{ktÚke fÞwt MkíÞ LkÚke ?",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 57,
          "question_text": "<div class=\"Quest\"> <span class=\"Normal-English-Bold\">(i)</span><span class=\"Normal-English-Bold\"> A – </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">f</span><span class=\"Normal-English-Bold\"> = </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">_______</span><span class=\"Normal-English-Bold\"> . (ii) </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">f</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">– A = </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">________</span><span class=\"Normal-English\">.</span></div>\n<div class=\"Question_S1-to-S4_Questions-OR_S1-to-S4\">(a) <span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-59\">U\t</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span></div>\n<div class=\"Question_S1-to-S4_Questions-OR_S1-to-S4\">(b) <span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\">A</span><span class=\"idf9ef215b7-CharOverride-69\">'</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span></div>\n<div class=\"Question_S1-to-S4_Questions-OR_S1-to-S4\">(c) <span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-60\">f</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span></div>\n<div class=\"Question_S1-to-S4_Questions-OR_S1-to-S4\">(d) <span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\">A</span></span></div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">ÔÞkÏÞk ÃkhÚke,</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A – </span><span class=\"idf9ef215b7-CharOverride-60\">f</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">| </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> A </span><span class=\"idf9ef215b7-CharOverride-75\" lang=\"en-US\">yLku</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∉ f</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\" lang=\"en-US\">ÃkhÚke </span><span class=\"idf9ef215b7-CharOverride-60\">f</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\" lang=\"en-US\">Lku fkuE MkÇÞ LkÚke.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A – </span><span class=\"idf9ef215b7-CharOverride-60\">f</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">| </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">} = A</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"idf9ef215b7-CharOverride-60\">f</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – A </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">= {</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> | </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-60\">f</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\" lang=\"en-US\">yLku</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∉ </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\" lang=\"en-US\">ÃkhÚke </span><span class=\"idf9ef215b7-CharOverride-60\">f</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\" lang=\"en-US\">Lku fkuE MkÇÞ LkÚke.</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-60\">f</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">– A = </span><span class=\"idf9ef215b7-CharOverride-60\">f</span></div>",
          "type": "SUB",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "25",
            "original_raw_text": " (i) A – f = _______ . (ii) f – A = ________.",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "type_reclassified": "subjective_subparts",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14",
            "needs_review": true,
            "needs_type_review": true,
            "type_review_reason": "question carries an option-marker run (A/B/C/D) but the answer has no per-part answers — options merged into the stem?"
          }
        },
        {
          "sequence_no": 58,
          "question_text": "<div class=\"Quest\"> <span class=\"Normal-English-Bold\">A</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">f</span><span class=\"Normal-English-Bold\"> = </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">_______</span><span class=\"Normal-English-Bold\"> .</span></div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-94\">A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-82\">∪</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-94\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-82\">f</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">\t= {</span><span class=\"Normal-English idf9ef215b7-CharOverride-78\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">| </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\"> A </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">yLku</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\">∉ </span><span class=\"idf9ef215b7-CharOverride-82\">f</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">}</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-49\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">= {</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">| </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> A}</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-49\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t= A</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-59\">A\t</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\">A</span><span class=\"idf9ef215b7-CharOverride-69\">'</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\">U</span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-60\">f</span></span>"
          },
          "correct_option": "A",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "26",
            "original_raw_text": " A ∪ f = _______ .",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 59,
          "question_text": "<div class=\"Quest\"> <span class=\"Normal-English-Bold\">A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">⊂ </span><span class=\"Normal-English-Bold\">B </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">⇔</span><span class=\"Normal-English-Bold\"> A – B =  </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">________</span><span class=\"Normal-English-Bold\"> .</span></div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A – B = </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-78\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">| </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\">∈ </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">A </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">yLku</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\">∉ </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">B</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\">nðu,\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A\t</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-19\">⊂</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\">øký </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A</span><span class=\"idf9ef215b7-CharOverride-75\">Lkku Ëhuf MkÇÞ </span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"idf9ef215b7-CharOverride-75\">øký </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">B</span><span class=\"idf9ef215b7-CharOverride-75\">{kt Au.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A – B = </span><span class=\"idf9ef215b7-CharOverride-60\">f</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-33\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t(</span><span class=\"Normal-English idf9ef215b7-CharOverride-81\"></span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A</span><span class=\"idf9ef215b7-CharOverride-75\">{kt nkuÞ yLku </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">B</span><span class=\"idf9ef215b7-CharOverride-75\">{kt Lk nkuÞ</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-33\"><span class=\"idf9ef215b7-CharOverride-75\">íkuðk fkuE MkÇÞ Lk {¤u.)</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-19\">⊂</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">⇒</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> A – B = </span><span class=\"idf9ef215b7-CharOverride-60\">f</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A – B = </span><span class=\"idf9ef215b7-CharOverride-60\">f</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\" lang=\"en-US\">nðu,\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">A – B </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">\t\t= </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">| </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> A </span><span class=\"idf9ef215b7-CharOverride-75\" lang=\"en-US\">yLku</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∉ </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">B</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">} = </span><span class=\"idf9ef215b7-CharOverride-60\">f</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\">yuðku fkuE MkÇÞ LkÚke su </span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\t\tøký </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A</span><span class=\"idf9ef215b7-CharOverride-75\">{kt nkuÞ yLku </span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"idf9ef215b7-CharOverride-75\">øký </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">B</span><span class=\"idf9ef215b7-CharOverride-75\">{kt Lk nkuÞ.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-19\">⊂</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A – B = </span><span class=\"idf9ef215b7-CharOverride-60\">f</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">⇒</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-19\">⊂</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴ \t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-19\">⊂</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">⇔</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> A – B = </span><span class=\"idf9ef215b7-CharOverride-60\">f</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-59\">U\t</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-60\">f</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\">A</span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\">B</span></span>"
          },
          "correct_option": "B",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "27",
            "original_raw_text": " A ⊂ B ⇔ A – B =  ________ .",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 60,
          "question_text": "<div class=\"Quest\"> <span class=\"Normal-English-Bold\">A – B = B – A = </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">f</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">⇔</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">________</span><span class=\"Normal-English-Bold\"> .</span></div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A – B = </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-78\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">| </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\"> A </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">yLku</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\">∉ </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">B</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">B – A = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">| </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B </span><span class=\"idf9ef215b7-CharOverride-75\">yLku</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∉</span><span class=\"Normal-English idf9ef215b7-CharOverride-19\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\tA – B = B – A</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t{</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">| </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> A </span><span class=\"idf9ef215b7-CharOverride-75\">yLku</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∉</span><span class=\"Normal-English idf9ef215b7-CharOverride-19\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">B} </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t= {</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> | </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈ </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">B </span><span class=\"idf9ef215b7-CharOverride-75\">yLku </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∉</span><span class=\"Normal-English idf9ef215b7-CharOverride-19\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A}</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\">zk.çkk. </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈ </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\">Ãký\ts.çkk. </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∉</span><span class=\"Normal-English idf9ef215b7-CharOverride-19\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A </span><span class=\"idf9ef215b7-CharOverride-75\">yLku </span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\t\t\tzk.çkk. </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∉</span><span class=\"Normal-English idf9ef215b7-CharOverride-19\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">B</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\">Ãký s.çkk. </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈ </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">B.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\">òu </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A = B = </span><span class=\"idf9ef215b7-CharOverride-60\">f</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\"> </span><span class=\"idf9ef215b7-CharOverride-75\">nkuÞ íkku yLku </span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\t\tíkku s {kºk íku þõÞ Au.</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-59\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">≠</span><span class=\"idf9ef215b7-CharOverride-59\"> B </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">≠</span><span class=\"idf9ef215b7-CharOverride-59\"> </span><span class=\"idf9ef215b7-CharOverride-60\">f</span><span class=\"idf9ef215b7-CharOverride-59\"> </span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">≠</span><span class=\"Normal-English\"> B</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\">A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">⊂ </span><span class=\"idf9ef215b7-CharOverride-58\">B</span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\">A = B</span></span>"
          },
          "correct_option": "D",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "28",
            "original_raw_text": " A – B = B – A = f ⇔ ________ .",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
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          "sequence_no": 61,
          "question_text": "<div class=\"Quest\">\tMíkt¼ <span class=\"Normal-English-Bold\">A</span>{kt øký ÞkËeLke heíku yLku Míkt¼ <span class=\"Normal-English-Bold\">B</span>{kt økwýÄ{oLke heíku Ëþkoðu÷ Au :</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-8\">\tLke[u ÃkifeLke fE òuz ÞkuøÞ Au ?</div>",
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              "context": "(A) (B) (1) {L, A, T} (A) { x | x yu 4 Úke LkkLke «kf]ríkf M…"
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            "source_html": "Chapter1",
            "section": "Multiple Choice Questions (MCQs)",
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          "sequence_no": 63,
          "question_text": "<div class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-59\"> </span><span class=\"idf9ef215b7-CharOverride-58\">(B) </span><span class=\"Normal-English\">(1 - B), (2 - A), (3 - C)</span></div>",
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          "metadata": {
            "source_class": "MCQ-Equation",
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            "source_html": "Chapter1",
            "section": "Multiple Choice Questions (MCQs)",
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          "sequence_no": 64,
          "question_text": "<div class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\">\t(C) </span><span class=\"Normal-English\">(1 - B), (2 - C), (3 - A)</span></div>",
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          "sequence_no": 65,
          "question_text": "<div class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\">\t(D) </span><span class=\"Normal-English\">(1 - A), (2 - C), (3 - B)</span></div>",
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            "marks": 1,
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            "source_html": "Chapter1",
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        {
          "sequence_no": 66,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"> <span class=\"Normal-English-Bold\">A\t= 100</span>Úke LkkLke Þwø{ MktÏÞkykuLkku Mk{qn</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-21\"> <span class=\"Normal-English-Bold\">B\t= 20</span>{e MkËeLkk h{íkðehkuLkku Mk{qn</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-21\"> <span class=\"Normal-English-Bold\">C\t= </span>W{kþtfh òu»keyu ÷¾u÷ frðíkkykuLkku Mk{qn</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-21\">\tLke[uLkkt Ãkife fÞwt rðÄkLk MkíÞ Au ?</div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">B</span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\"> yu øký LkÚke.</span></div>",
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            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">A</span><span class=\"idf9ef215b7-CharOverride-61\" lang=\"en-US\"> yLku </span><span class=\"Normal-English\">B</span><span class=\"idf9ef215b7-CharOverride-61\" lang=\"en-US\"> øký </span><span class=\"idf9ef215b7-CharOverride-61\" lang=\"en-US\">Au.</span><span class=\"idf9ef215b7-CharOverride-59\"> </span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">B</span><span class=\"idf9ef215b7-CharOverride-61\" lang=\"en-US\"> yu øký LkÚke.</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">A</span><span class=\"idf9ef215b7-CharOverride-61\" lang=\"en-US\"> </span><span class=\"idf9ef215b7-CharOverride-61\" lang=\"en-US\">yLku </span><span class=\"Normal-English\">C</span><span class=\"idf9ef215b7-CharOverride-61\" lang=\"en-US\"> øký LkÚke.</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">A, B</span><span class=\"idf9ef215b7-CharOverride-61\" lang=\"en-US\"> yLku </span><span class=\"Normal-English\">C</span><span class=\"idf9ef215b7-CharOverride-61\" lang=\"en-US\"> øký Au.</span></span>"
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          "correct_option": "B",
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            "source_class": "Quest idf9ef215b7-ParaOverride-6",
            "source_number": "30",
            "original_raw_text": " A\t= 100Úke LkkLke Þwø{ MktÏÞkykuLkku Mk{qn\n B\t= 20{e MkËeLkk h{íkðehkuLkku Mk{qn\n C\t= W{kþtfh òu»keyu ÷¾u÷ frðíkkykuLkku Mk{qn\n\tLke[uLkkt Ãkife fÞwt rðÄkLk MkíÞ Au ?",
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          "sequence_no": 67,
          "question_text": "<div class=\"Quest\"> <span class=\"Normal-English-Bold\">A = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> | </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> Z, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">4</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\"> </span><span class=\"Normal-English-Bold\">– 16 = 0}</span> nkuÞ, íkku</div>",
          "answer_text": "<div class=\"Quest\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-83\" lang=\"en-US\">4</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> – 16\t= 0</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-114\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">4</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= 16</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-114\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= 2, – 2</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-114\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A\t= {– 2, 2}</span></div>",
          "type": "MCQ",
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            "A": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-59\">A = </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">{– 2, 2}</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">A = {2}</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">A = {– 4}</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">A = {– 4, 4, – 2, 2}</span></span>"
          },
          "correct_option": "A",
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          "metadata": {
            "source_class": "Quest",
            "source_number": "31",
            "original_raw_text": " A = {x | x ∈ Z, x4 – 16 = 0} nkuÞ, íkku",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
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        {
          "sequence_no": 68,
          "question_text": "<div class=\"Quest\">\tòu <span class=\"Normal-English-Bold\">A = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">y </span><span class=\"Normal-English-Bold\">| </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">y</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> N, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">y</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">3</span><span class=\"Normal-English-Bold\"> – 27 = 0} </span>nkuÞ, íkku fÞwt rðÄkLk MkíÞ Au ?</div>",
          "answer_text": "<div class=\"Quest\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">y</span><span class=\"Normal-English idf9ef215b7-CharOverride-83\" lang=\"en-US\">3</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> – 27\t= 0</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-114\"><span class=\"idf9ef215b7-CharOverride-75\" lang=\"en-GB\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">y</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">3</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= 27</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-114\"><span class=\"idf9ef215b7-CharOverride-75\" lang=\"en-GB\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">y</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= 3</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\" lang=\"en-GB\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A\t= {3}</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-8\"></div>",
          "type": "MCQ",
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            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-52\">9 </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> A</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">– 3 </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> A</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
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          "correct_option": "C",
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            "source_class": "Quest",
            "source_number": "32",
            "original_raw_text": "\tòu A = {y | y ∈ N, y3 – 27 = 0} nkuÞ, íkku fÞwt rðÄkLk MkíÞ Au ?",
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          "sequence_no": 69,
          "question_text": "<div class=\"Quest\">\tòu <span class=\"Normal-English-Bold\">B</span><span class=\"Normal-English-Bold\"> = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x </span><span class=\"Normal-English-Bold\">| </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> Z, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold\"> – 16 = 0} </span>nkuÞ, íkku ¾hwt rðÄkLk ÃkMktË fhku.</div>",
          "answer_text": "",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-52\">4 </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> B</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">– 4 </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∉</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> A</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">2 </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∉</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> B</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">2 </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> B</span></span>"
          },
          "correct_option": "A",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "33",
            "original_raw_text": "\tòu B = {x | x ∈ Z, x2 – 16 = 0} nkuÞ, íkku ¾hwt rðÄkLk ÃkMktË fhku.",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "inline_key",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 70,
          "question_text": "<div class=\"Quest\">\tòu <span class=\"Normal-English-Bold\">B = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">f</span><span class=\"Normal-English-Bold\">}</span> nkuÞ, íkku</div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">B = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">f</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">B </span><span class=\"idf9ef215b7-CharOverride-75\">yufkfe øký Au. </span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\tíkuÚke</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">B</span><span class=\"idf9ef215b7-CharOverride-75\"> MkkLík øký Au.</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">B </span><span class=\"idf9ef215b7-CharOverride-61\">¾k÷e øký Au.</span><span class=\"idf9ef215b7-CharOverride-59\"> </span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">B </span><span class=\"idf9ef215b7-CharOverride-61\">MkkLík øký Au.</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">B </span><span class=\"idf9ef215b7-CharOverride-61\">yLktík øký Au.</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">B </span><span class=\"idf9ef215b7-CharOverride-61\">yu øký LkÚke.</span></span>"
          },
          "correct_option": "B",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "34",
            "original_raw_text": "\tòu B = {f} nkuÞ, íkku",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 71,
          "question_text": "<div class=\"Quest\"> <span class=\"Normal-English-Bold\">A </span><span class=\"Normal-English-Bold\">= {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> | </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> N, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold\"> + 4 = 0}</span> nkuÞ, íkku </div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-76\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-83\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\"> + 4\t= 0</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴     \t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= – 4</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\">su þõÞ LkÚke.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\tfkuE Ãký «kf]ríkf MktÏÞkLkku ðøko </span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\tnt{uþkt ÄLk nkuÞ  Au.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A = </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">f</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">A = {– 2, 2}</span><span class=\"idf9ef215b7-CharOverride-59\"> </span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">A = {2}</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">A = </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-US\">f</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">A = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-US\">f</span><span class=\"Normal-English\">}</span></span>"
          },
          "correct_option": "C",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "35",
            "original_raw_text": " A = {x | x ∈ N, x2 + 4 = 0} nkuÞ, íkku ",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 72,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"> <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">a</span><span class=\"Normal-English-Bold\"> = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x </span><span class=\"Normal-English-Bold\">| </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span> yu <span class=\"Normal-English-Bold\">ALPHA</span> þçËLkku {q¤kûkh Au.<span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-21\"><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">b</span><span class=\"Normal-English-Bold\"> = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x </span><span class=\"Normal-English-Bold\">| </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span> yu <span class=\"Normal-English-Bold\">ALPA</span> þçËLkku {q¤kûkh Au.<span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-21\"><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">g</span><span class=\"Normal-English-Bold\"> = {L, P, A, H}</span> íkku yMkíÞ rðÄkLk ÃkMktË fhku.</div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-82\" lang=\"en-US\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> =</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">{A, L, P, H}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-19\">b</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = {A, L, P}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-19\">g</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = {L, P, A, H}</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-70\">a</span><span class=\"Normal-English\"> = </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-71\" lang=\"en-GB\">g</span><span class=\"idf9ef215b7-CharOverride-59\"> </span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-70\">b</span><span class=\"Normal-English\"> = </span><span class=\"Normal-English idf9ef215b7-CharOverride-72\" lang=\"en-GB\">{A, L, P}</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-70\">a</span><span class=\"Normal-English\"> = </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-71\" lang=\"en-GB\">b</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-70\">b</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-68\" lang=\"en-GB\">∩</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-71\" lang=\"en-GB\">g </span><span class=\"Normal-English idf9ef215b7-CharOverride-68\" lang=\"en-GB\">≠</span><span class=\"Normal-English idf9ef215b7-CharOverride-72\" lang=\"en-GB\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\" lang=\"en-US\">f</span></span>"
          },
          "correct_option": "C",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-6",
            "source_number": "36",
            "original_raw_text": " a = {x | x yu ALPHA þçËLkku {q¤kûkh Au.}\n b = {x | x yu ALPA þçËLkku {q¤kûkh Au.}\n g = {L, P, A, H} íkku yMkíÞ rðÄkLk ÃkMktË fhku.",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 73,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\">\tMíkt¼ <span class=\"Normal-English-Bold\">A</span>{kt y{wf øký ykÃku÷k Au yLku Míkt¼ <span class=\"Normal-English-Bold\">B</span>{kt WÃkøkýku ykÃku÷k Au.</div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\"><span class=\"Normal-English-Bold\"> </span>òu Míkt¼ <span class=\"Normal-English-Bold\">A</span>{ktLkk ºký økýLku Míkt¼ <span class=\"Normal-English-Bold\">B</span>{kt íkuLkk WÃkøký MkkÚku òuzeyu íkku Lke[uLkkt{ktÚke fE òuze ÞkuøÞ Au ?</div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">(1)\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">{1, 3, 5, 7....} </span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-21\"><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"idf9ef215b7-CharOverride-77\">yufe «kf]ríkf MktÏÞkyku Au.</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-49\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t\t{1, 19, 21} </span><span class=\"idf9ef215b7-CharOverride-75\">yufe MktÏÞkyku Au.</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-49\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">{1, 19, 21} </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">⊂</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> {1, 3, 5, 7...}</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-49\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(1) –  (A)</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-49\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t(2)\t{2, 4, 6, 8....} </span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-49\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\">çkuf</span><span class=\"idf9ef215b7-CharOverride-75\" lang=\"en-GB\">e «kf]ríkf MktÏÞkyku Au.</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-49\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t\t{8, 28, 38} </span><span class=\"idf9ef215b7-CharOverride-75\">çkufe MktÏÞkyku Au.</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-49\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">{8, 28, 38} </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">⊂</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> {2, 4, 6, 8...}</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-49\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(2) –  (C)</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-49\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\">íkuÚke </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(3) –  (B)</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
          "images": [],
          "tables": [
            {
              "id": "tbl-1",
              "rows": 4,
              "columns": 4,
              "raw_html": "<table class=\"Basic-Table TableOverride-3\" id=\"table008\">\n<colgroup>\n<col class=\"_idGenTableRowColumn-21\"/>\n<col class=\"_idGenTableRowColumn-34\"/>\n<col class=\"_idGenTableRowColumn-7\"/>\n<col class=\"_idGenTableRowColumn-27\"/>\n</colgroup>\n<tbody>\n<tr class=\"Basic-Table _idGenTableRowColumn-28\">\n<td class=\"Basic-Table CellOverride-10\"></td>\n<td class=\"Basic-Table CellOverride-10\">\n<p class=\"Quest idf9ef215b7-ParaOverride-103\" lang=\"en-GB\">  Míkt¼ <span class=\"Normal-English-Bold\">A</span></p>\n</td>\n<td class=\"Basic-Table CellOverride-10\"></td>\n<td class=\"Basic-Table CellOverride-10\">\n<p class=\"Quest idf9ef215b7-ParaOverride-103\" lang=\"en-GB\"><span class=\"Normal-English-Bold\"> </span>Míkt¼ <span class=\"Normal-English-Bold\">B</span></p>\n</td>\n</tr>\n<tr class=\"Basic-Table _idGenTableRowColumn-29\">\n<td class=\"Basic-Table CellOverride-10\">\n<p class=\"Quest idf9ef215b7-ParaOverride-21\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">(1)</span></p>\n</td>\n<td class=\"Basic-Table CellOverride-10\">\n<p class=\"Quest idf9ef215b7-ParaOverride-21\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">{1, 3, 5, 7....}</span></p>\n</td>\n<td class=\"Basic-Table CellOverride-10\">\n<p class=\"Quest idf9ef215b7-ParaOverride-21\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">(A)</span></p>\n</td>\n<td class=\"Basic-Table CellOverride-10\">\n<p class=\"Quest idf9ef215b7-ParaOverride-21\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">{1, 19, 21}</span></p>\n</td>\n</tr>\n<tr class=\"Basic-Table _idGenTableRowColumn-29\">\n<td class=\"Basic-Table CellOverride-10\">\n<p class=\"Quest idf9ef215b7-ParaOverride-21\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">(2)</span></p>\n</td>\n<td class=\"Basic-Table CellOverride-10\">\n<p class=\"Quest idf9ef215b7-ParaOverride-21\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">{2, 4, 6, 8....}</span></p>\n</td>\n<td class=\"Basic-Table CellOverride-10\">\n<p class=\"Quest idf9ef215b7-ParaOverride-21\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">(B)</span></p>\n</td>\n<td class=\"Basic-Table CellOverride-10\">\n<p class=\"Quest idf9ef215b7-ParaOverride-21\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">{2, 5, 6, 8, 19}</span></p>\n</td>\n</tr>\n<tr class=\"Basic-Table _idGenTableRowColumn-29\">\n<td class=\"Basic-Table CellOverride-10\">\n<p class=\"Quest idf9ef215b7-ParaOverride-21\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">(3)</span></p>\n</td>\n<td class=\"Basic-Table CellOverride-10\">\n<p class=\"Quest idf9ef215b7-ParaOverride-21\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">{1, 2, 3, 4....}</span></p>\n</td>\n<td class=\"Basic-Table CellOverride-10\">\n<p class=\"Quest idf9ef215b7-ParaOverride-21\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">(C)</span></p>\n</td>\n<td class=\"Basic-Table CellOverride-10\">\n<p class=\"Quest idf9ef215b7-ParaOverride-21\" lang=\"en-GB\"><span class=\"Normal-English-Bold\">{8, 28, 38}</span></p>\n</td>\n</tr>\n</tbody>\n</table>",
              "position": "stem",
              "context": "Míkt¼ A Míkt¼ B (1) {1, 3, 5, 7....} (A) {1, 19, 21} (2) {2,…"
            }
          ],
          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-6",
            "source_number": "37",
            "original_raw_text": "\tMíkt¼ A{kt y{wf øký ykÃku÷k Au yLku Míkt¼ B{kt WÃkøkýku ykÃku÷k Au.\n òu Míkt¼ A{ktLkk ºký økýLku Míkt¼ B{kt íkuLkk WÃkøký MkkÚku òuzeyu íkku Lke[uLkkt{ktÚke fE òuze ÞkuøÞ Au ?",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "boundary_log": [
              "match/mcq table→stem"
            ],
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14",
            "needs_review": true,
            "missing_answer": true,
            "needs_answer_review": true,
            "answer_review_reason": "options + correct option not detected"
          }
        },
        {
          "sequence_no": 74,
          "question_text": "<div class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\"> </span><span class=\"idf9ef215b7-CharOverride-59\">(A) </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">(1-C), (2-B), (3-A)</span><span class=\"idf9ef215b7-CharOverride-59\"> </span><span class=\"idf9ef215b7-CharOverride-58\">(B) </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">(1-A), (2-C), (3-B)</span></div>",
          "answer_text": "",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "MCQ-Equation",
            "original_raw_text": " (A) (1-C), (2-B), (3-A) (B) (1-A), (2-C), (3-B)",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14",
            "needs_review": true,
            "needs_layout_review": true,
            "layout_review_reason": "question body is a consolidated answer key (NUMBER.(LETTER) pairs) — parse it into a number→letter map, not a question",
            "missing_answer": true,
            "needs_answer_review": true,
            "answer_review_reason": "options + correct option not detected"
          }
        },
        {
          "sequence_no": 75,
          "question_text": "<div class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\">\t(C) </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">(1-C), (2-A), (3-B)</span><span class=\"idf9ef215b7-CharOverride-58\">\t(D) </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">(1-A), (2-B), (3-C)</span></div>",
          "answer_text": "",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "MCQ-Equation",
            "original_raw_text": "\t(C) (1-C), (2-A), (3-B)\t(D) (1-A), (2-B), (3-C)",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14",
            "needs_review": true,
            "needs_layout_review": true,
            "layout_review_reason": "question body is a consolidated answer key (NUMBER.(LETTER) pairs) — parse it into a number→letter map, not a question",
            "missing_answer": true,
            "needs_answer_review": true,
            "answer_review_reason": "options + correct option not detected"
          }
        },
        {
          "sequence_no": 76,
          "question_text": "<div class=\"Quest\">\tðkMíkrðf MktÏÞk øký <span class=\"Normal-English-Bold\">R</span> {kxu Lke[uLkk Ãkife fÞwt rðÄkLk Mkk[wt LkÚke ?</div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-63\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-95\">π ∉ </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">R</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">N </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">⊂</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">R</span><span class=\"idf9ef215b7-CharOverride-59\"> </span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">(</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">a</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">b</span><span class=\"Normal-English\">) </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">⊂</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">R</span><span class=\"Normal-English\">; </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">a</span><span class=\"Normal-English\"> &lt; </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">b</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-62\">π</span><span class=\"Normal-English idf9ef215b7-CharOverride-62\"> ∉ </span><span class=\"Normal-English-Bold\">R</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-62\">f ⊂ </span><span class=\"Normal-English-Bold\">R</span></span>"
          },
          "correct_option": "C",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "38",
            "original_raw_text": "\tðkMíkrðf MktÏÞk øký R {kxu Lke[uLkk Ãkife fÞwt rðÄkLk Mkk[wt LkÚke ?",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 77,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-24\"> <span class=\"Normal-English-Bold\">A = {1, 5, 7}, B = {1, 10}, C = {11, 12, ..., 20}</span><br/>fÞk økýLkk WÃkøký Au ?</div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-63\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">{1, 2, 3, ..., 20}</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">{1, 2, 3, ..., 20}</span><span class=\"idf9ef215b7-CharOverride-59\"> </span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">{1, 3, 5, ..., 21}</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-62\">f</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">{1, 11, 111, 1111}</span></span>"
          },
          "correct_option": "A",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-24",
            "source_number": "39",
            "original_raw_text": " A = {1, 5, 7}, B = {1, 10}, C = {11, 12, ..., 20}fÞk økýLkk WÃkøký Au ?",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 78,
          "question_text": "<div class=\"Quest\"> <span class=\"Normal-English-Bold\">A = {1, 2, 3, 4}, B = {– 1, 1, 0, – 2, 2},<br/>C = {1, 3, 4} </span>fÞk økýLkk WÃkøký Au ?</div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-63\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">[– 2, 4]</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">[1, 4]</span><span class=\"idf9ef215b7-CharOverride-59\"> </span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">[– 1, 4]</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">[– 2, 2]</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">[– 2, 4]</span></span>"
          },
          "correct_option": "D",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "40",
            "original_raw_text": " A = {1, 2, 3, 4}, B = {– 1, 1, 0, – 2, 2},C = {1, 3, 4} fÞk økýLkk WÃkøký Au ?",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 79,
          "question_text": "<div class=\"Quest\">\tytíkhk÷ <span class=\"Normal-English-Bold\">(– 1, 1]</span><span class=\"Normal-English-Bold\"> </span>{kxu Lke[uLkk Ãkife fÞwt rðÄkLk Mkk[wt Au  ?</div>\n<div class=\"Quest-copy-2\"><span class=\"idf9ef215b7-CharOverride-7\">42.</span>\tfE ðuLk ykf]ríkLkku htøkeLk «Ëuþ ¼køk <span class=\"Normal-English-Bold\">A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∩</span><span class=\"Normal-English-Bold\"> B </span>Ëþkoðu Au  ?</div>\n<div class=\"Quest-copy-2\"><span class=\"idf9ef215b7-CharOverride-7\">43.</span>\tLke[uLke ðuLk ykf]rík {kxu ¾hwt rðÄkLk ÃkMktË fhku.</div>\n<img src=\"Chapter1/82.png\" alt=\"\"/>\n<img src=\"Chapter1/82.png\" alt=\"\"/>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-15\">A</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-15\">4</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-15\">7</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-15\">1</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-15\">3</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-15\">2</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-15\">6</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-15\">5</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-15\">B</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-15\">U</span></div>\n<div class=\"Quest-copy-2\"><span class=\"idf9ef215b7-CharOverride-7\">44.</span>\tLke[uLke ðuLk ykf]rík {kxu fÞwt rðÄkLk ¾hwt LkÚke.</div>\n<img src=\"Chapter1/82.png\" alt=\"\"/>\n<img src=\"Chapter1/82.png\" alt=\"\"/>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-73\">a</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-73\">b</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-73\">c</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-73\">d</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-15\">A</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-73\">f</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-73\">g</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-15\">B</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-73\">e</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-15\">U</span></div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-63\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">0 </span><span class=\"Normal-English idf9ef215b7-CharOverride-95\">∈ </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">(– 1, 1]</span></div>\n<div class=\"Quest-copy-2\"><span class=\"idf9ef215b7-CharOverride-7\">42.</span><span class=\"idf9ef215b7-CharOverride-75\"> </span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-3\"><img alt=\"\" class=\"_idGenObjectAttribute-60\" src=\"Chapter1/80.png\"/></div>\n<div class=\"Quest-copy-2 idf9ef215b7-ParaOverride-63\"><span class=\"idf9ef215b7-CharOverride-7\">43.</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">U = {1, 2, ..., 7} </span></div>\n<div class=\"Quest-copy-2 idf9ef215b7-ParaOverride-63\"><span class=\"idf9ef215b7-CharOverride-7\">44.</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">B = </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\">f</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation idf9ef215b7-ParaOverride-43\"><span class=\"idf9ef215b7-CharOverride-58\"></span><span class=\"idf9ef215b7-CharOverride-59\"></span><span class=\"Normal-English\">A = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">c</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">d</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">f</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">g</span><span class=\"Normal-English\">}</span><span class=\"idf9ef215b7-CharOverride-58\"> </span></span>",
            "B": "<span class=\"MCQ-Equation idf9ef215b7-ParaOverride-43\"><span class=\"idf9ef215b7-CharOverride-58\"></span><span class=\"Normal-English\">B = </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">f</span></span>",
            "C": "<span class=\"MCQ-Equation idf9ef215b7-ParaOverride-43\"><span class=\"idf9ef215b7-CharOverride-58\"></span><span class=\"idf9ef215b7-CharOverride-59\"></span><span class=\"Normal-English\">U = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">a</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">b</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">c</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">d</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">e</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">f</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">g</span><span class=\"Normal-English\">}</span><span class=\"idf9ef215b7-CharOverride-58\"> </span></span>",
            "D": "<span class=\"MCQ-Equation idf9ef215b7-ParaOverride-43\"><span class=\"idf9ef215b7-CharOverride-58\"></span><span class=\"Normal-English\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English\"> B = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">c</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">d</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">f</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">g</span><span class=\"Normal-English\">}</span></span>"
          },
          "correct_option": "B",
          "images": [
            {
              "id": "img-0",
              "path": "Chapter1/78.png",
              "position": "option:A",
              "context": "(A) (B)"
            },
            {
              "id": "img-1",
              "path": "Chapter1/79.png",
              "position": "option:A",
              "context": "(A) (B)"
            },
            {
              "id": "img-2",
              "path": "Chapter1/80.png",
              "position": "option:C",
              "context": "(C) (D)"
            },
            {
              "id": "img-3",
              "path": "Chapter1/81.png",
              "position": "option:C",
              "context": "(C) (D)"
            },
            {
              "id": "",
              "path": "Chapter1/82.png",
              "position": "stem",
              "context": ""
            },
            {
              "id": "",
              "path": "Chapter1/82.png",
              "position": "stem",
              "context": ""
            },
            {
              "id": "",
              "path": "Chapter1/82.png",
              "position": "stem",
              "context": ""
            },
            {
              "id": "",
              "path": "Chapter1/82.png",
              "position": "stem",
              "context": ""
            },
            {
              "id": "img-0",
              "path": "Chapter1/80.png",
              "position": "answer",
              "context": ""
            }
          ],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "41",
            "original_raw_text": "\tytíkhk÷ (– 1, 1] {kxu Lke[uLkk Ãkife fÞwt rðÄkLk Mkk[wt Au  ?\n42.\tfE ðuLk ykf]ríkLkku htøkeLk «Ëuþ ¼køk A ∩ B Ëþkoðu Au  ?\n43.\tLke[uLke ðuLk ykf]rík {kxu ¾hwt rðÄkLk ÃkMktË fhku.\n\n\nA\n4\n7\n1\n3\n2\n6\n5\nB\nU\n44.\tLke[uLke ðuLk ykf]rík {kxu fÞwt rðÄkLk ¾hwt LkÚke.\n\n\na\nb\nc\nd\nA\nf\ng\nB\ne\nU",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14",
            "needs_review": true,
            "needs_layout_review": true,
            "layout_review_reason": "question body has 3 sequential numbered stems (42/43/44…) — a numbered run merged into one item; split per number",
            "needs_figure_review": true,
            "figure_review_reason": "leaked-figure signature in question: 10 consecutive short label lines (shredded vector figure?)"
          }
        },
        {
          "sequence_no": 80,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"> <span class=\"Normal-English-Bold\">A = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> | </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> </span>yu <span class=\"Normal-English-Bold\">8 </span>fhíkkt LkkLke «kf]ríkf MktÏÞk Au.<span class=\"Normal-English-Bold\">}</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-21\"><span class=\"Normal-English-Bold\">\tB = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> | </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> </span>yu <span class=\"Normal-English-Bold\">5 </span>fhíkkt {kuxe yLku <span class=\"Normal-English-Bold\">18 </span>fhíkkt LkkLke «kf]ríkf MktÏÞk Au.<span class=\"Normal-English-Bold\">}, </span>íkku</div>\n<div class=\"Quest-copy-2\"><span class=\"idf9ef215b7-CharOverride-7\">46.</span>\tLke[u Ãkife fÞwt rðÄkLk ¾hwt Au ? <span class=\"Normal-English-Bold\">(A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">≠</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">φ</span><span class=\"Normal-English-Bold\">)</span></div>\n<div class=\"Quest-copy-2\"><span class=\"idf9ef215b7-CharOverride-7\">47.</span>\tLke[uLkkt Ãkife fÞwt rðÄkLk ¾hwt Au ? <span class=\"Normal-English-Bold\">(A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">≠</span><span class=\"Normal-English-Bold\"> B)</span></div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-63\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A = {1, 2, 3, 4, 5, 6, 7}</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\tB = {6, 7, 8, 9, 10, ... 17}</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\tA </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B\t= {1, 2, 3, ... 17}</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t= {</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> | </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\" lang=\"en-US\">yu </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">18</span><span class=\"idf9ef215b7-CharOverride-75\" lang=\"en-US\">Úke LkkLke </span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-117\"><span class=\"idf9ef215b7-CharOverride-75\" lang=\"en-US\">«kf]ríkf MktÏÞk Au.</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">}</span></div>\n<div class=\"Quest-copy-2 idf9ef215b7-ParaOverride-63\"><span class=\"idf9ef215b7-CharOverride-7\">46.</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\"> (B </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\"> C) = (A </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\"> B) </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\"> (A </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\"> C)</span></div>\n<div class=\"Quest-copy-2 idf9ef215b7-ParaOverride-63\"><span class=\"idf9ef215b7-CharOverride-7\">47.</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\"> B) </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\">⊂</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\"> A</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English\"> B) </span><span class=\"Normal-English idf9ef215b7-CharOverride-60\">⊂</span><span class=\"Normal-English\"> A</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English\"> B) </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">⊂</span><span class=\"Normal-English\"> A</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English\"> B) </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English\"> B = A</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English\"> B) </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">⊂</span><span class=\"Normal-English\"> B</span></span>"
          },
          "correct_option": "A",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-6",
            "source_number": "45",
            "original_raw_text": " A = {x | x yu 8 fhíkkt LkkLke «kf]ríkf MktÏÞk Au.}\n\tB = {x | x yu 5 fhíkkt {kuxe yLku 18 fhíkkt LkkLke «kf]ríkf MktÏÞk Au.}, íkku\n46.\tLke[u Ãkife fÞwt rðÄkLk ¾hwt Au ? (A ≠ φ)\n47.\tLke[uLkkt Ãkife fÞwt rðÄkLk ¾hwt Au ? (A ≠ B)",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 81,
          "question_text": "<div class=\"Quest\">\tòu <span class=\"Normal-English-Bold\">A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">⊂</span><span class=\"Normal-English-Bold\"> B </span>nkuÞ, íkku</div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-63\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\"> B = A</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English\"> B = </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">f</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English\"> B = A</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English\"> B = B</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English\"> B = A</span></span>"
          },
          "correct_option": "B",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "48",
            "original_raw_text": "\tòu A ⊂ B nkuÞ, íkku",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 82,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"> <span class=\"Normal-English-Bold\">U = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> | </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> N, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">≤</span><span class=\"Normal-English-Bold\"> 10}, A = {1, 3, 5, 7, 9}, </span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\"><span class=\"Normal-English-Bold\">\tB = {2, 4, 6, 8, 10}, </span>íkku <span class=\"Normal-English-Bold\">(A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English-Bold\"> B)' = </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">_______</span></div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-63\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> B = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B)' = </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">f</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">U</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">{2}</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-19\">f</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">{1, 4, 7, 8}</span></span>"
          },
          "correct_option": "C",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-6",
            "source_number": "49",
            "original_raw_text": " U = {x | x ∈ N, x ≤ 10}, A = {1, 3, 5, 7, 9}, \n\tB = {2, 4, 6, 8, 10}, íkku (A ∪ B)' = _______",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 83,
          "question_text": "<div class=\"Quest\">\tðkMíkrðf MktÏÞkykuLkk øký <span class=\"Normal-English-Bold\">R </span>Lku Mkkðorºkf øký ÷Eyu íkku <span class=\"Normal-English-Bold\">Q' =</span> <span class=\"Normal-English idf9ef215b7-CharOverride-52\">______</span></div>",
          "answer_text": "<div class=\"Quest\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">Q'\t= {</span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> | </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-US\">R</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∉</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-US\">Q</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">} </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">= T</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\">(yMkt{uÞ MktÏÞkykuLkku øký)</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English-Bold\">N</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English-Bold\">Z</span><span class=\"idf9ef215b7-CharOverride-58\"> </span><span class=\"idf9ef215b7-CharOverride-59\"></span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English-Bold\">T</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English-Bold\">R</span></span>"
          },
          "correct_option": "C",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "50",
            "original_raw_text": "\tðkMíkrðf MktÏÞkykuLkk øký R Lku Mkkðorºkf øký ÷Eyu íkku Q' = ______",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 84,
          "question_text": "<div class=\"Quest\">\t«kf]ríkf MktÏÞkykuLkk økýLku Mkkðorºkf øký ÷Eyu yLku <span class=\"Normal-English-Bold\">A = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> | </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> – 8 = 3}, A' = </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">______</span></div>\n<div class=\"Quest-copy-2 idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-7\">52.</span> <span class=\"Normal-English-Bold\">U = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> | </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> R, 1 </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-10\">&lt;</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-10\">&lt;</span><span class=\"Normal-English-Bold\"> 5}, </span></div>\n<div class=\"Quest-copy-2 idf9ef215b7-ParaOverride-21\"><span class=\"Normal-English-Bold\">\tA = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> | </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> N, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold\"> – 6</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> + 5 = 0} </span>nkuÞ, </div>\n<div class=\"Quest-copy-2 idf9ef215b7-ParaOverride-5\">\tíkku <span class=\"Normal-English-Bold\">A' = </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">______</span></div>\n<div class=\"Quest-copy-2\"><span class=\"idf9ef215b7-CharOverride-7\">53.</span> <span class=\"Normal-English-Bold\">U = [1, 2], A = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> | </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> N, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold\"> + </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> – 2 = 0} </span>nkuÞ, íkku <span class=\"Normal-English-Bold\">A' = </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">______</span></div>\n<div class=\"Quest-copy-2\"><span class=\"idf9ef215b7-CharOverride-7\">54.</span>\tLke[u Ãkife fE ðuLk ykf]rík{kt htøkeLk ¼køk <span class=\"Normal-English-Bold\">(A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∩</span><span class=\"Normal-English-Bold\"> B)' </span>Ëþkoðu Au.</div>\n<div class=\"Quest-copy-2 idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-7\">55.</span> <span class=\"Normal-English-Bold\">A = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">a</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">b</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">d</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">e</span><span class=\"Normal-English-Bold\">}, B = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">c</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">d</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">f</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">l</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">m</span><span class=\"Normal-English-Bold\">} </span>yLku </div>\n<div class=\"Quest-copy-2 idf9ef215b7-ParaOverride-5\"> <span class=\"Normal-English-Bold\">C = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">a</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">l</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">m</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">o</span><span class=\"Normal-English-Bold\">} </span>nkuÞ, íkku <span class=\"Normal-English-Bold\">C </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∩</span><span class=\"Normal-English-Bold\"> (A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English-Bold\"> B) = </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">______</span></div>\n<div class=\"Quest-copy-2\"><span class=\"idf9ef215b7-CharOverride-7\">56.</span>\tòu <span class=\"Normal-English-Bold\">A </span>yLku <span class=\"Normal-English-Bold\">B </span>çku økýku nkuÞ, íkku <span class=\"Normal-English-Bold\">A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∩</span><span class=\"Normal-English-Bold\"> (A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English-Bold\"> B) = </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">______</span></div>\n<div class=\"Quest-copy-2\"><span class=\"idf9ef215b7-CharOverride-7\">57.</span>\tòu <span class=\"Normal-English-Bold\">A = {1, 2, 3}, B = {3, 4}, C = {4, 5, 6} </span>íkku <span class=\"Normal-English-Bold\">A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English-Bold\"> (B </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∩</span><span class=\"Normal-English-Bold\"> C) = </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">______</span></div>\n<div class=\"Quest-copy-2\"><span class=\"idf9ef215b7-CharOverride-7\">58.</span>\tòu øký <span class=\"Normal-English-Bold\">A </span>yLku øký <span class=\"Normal-English-Bold\">B</span>{kt yLkw¢{u <span class=\"Normal-English-Bold\">8 </span>íkÚkk <span class=\"Normal-English-Bold\">6 </span>MkÇÞku nkuÞ, íkku <span class=\"Normal-English-Bold\">A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English-Bold\"> B </span>{kt ykuAk{kt ykuAk <span class=\"Normal-English idf9ef215b7-CharOverride-52\">____</span> MkÇÞku nkuÞ.</div>\n<div class=\"Quest-copy-2 idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-7\">59.</span>\tLke[uLkkt Ãkife fÞku øký ¾k÷e øký Au ?</div>\n<div class=\"Quest-copy-2\"><span class=\"idf9ef215b7-CharOverride-7\">60.</span>\tçku MkkLík øký{kt yLkw¢{u <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">m</span><span class=\"Normal-English-Bold\"> </span>yLku <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\"> </span>MkÇÞku Au. «Úk{ økýLkkt WÃkøkýkuLke MktÏÞk çkeò økýLkk WÃkøkýkuLke MktÏÞk fhíkkt <span class=\"Normal-English-Bold\">56 </span>ðÄkhu Au, íkku <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">m</span><span class=\"Normal-English-Bold\"> </span>íkÚkk <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span>Lke ®f{ík yLkw¢{u <span class=\"Normal-English idf9ef215b7-CharOverride-52\">______</span> Au.</div>\n<div class=\"Quest-copy-2\"><span class=\"idf9ef215b7-CharOverride-7\">61.</span>\tòu <span class=\"Normal-English-Bold\">X </span>yLku <span class=\"Normal-English-Bold\">Y </span>çku økýku nkuÞ, íkku <span class=\"Normal-English-Bold\">X </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∩</span><span class=\"Normal-English-Bold\"> (Y </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English-Bold\"> X)' = </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">______</span></div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> – 8\t= 3</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= 11</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t\tA\t= {11}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t\tA'\t= </span><span class=\"Normal-English-Bold\">N</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – {11}</span></div>\n<div class=\"Quest-copy-2 idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-7\">52.</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> | </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> N, </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-83\" lang=\"en-US\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> – 6</span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> + 5 = 0}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 6</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> + 5\t= 0</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t(</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 5)(</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 1)\t= 0</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"idf9ef215b7-CharOverride-19\">\\</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = 1, 5 </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English-Bold\">N</span><span class=\"idf9ef215b7-CharOverride-75\"> Au s.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"idf9ef215b7-CharOverride-19\">\\</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A\t= {1, 5}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\tU\t= [1, 5]</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\tA'\t= (1, 5)(</span><span class=\"Normal-English idf9ef215b7-CharOverride-81\"></span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> A' = U – A)</span></div>\n<div class=\"Quest-copy-2 idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-7\">53.</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> | </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-US\">N</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-83\" lang=\"en-US\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> + </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> – 2 = 0}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> + </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 2\t= 0</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t(</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> + 2)(</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 1)\t= 0</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= 1, – 2</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\">ynª, </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">1 </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English-Bold\">N</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">, – 2 </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∉</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English-Bold\">N</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\tA = {1}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\tU = [1, 2] A' = (1, 2]</span></div>\n<div class=\"Quest-copy-2 idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-7\">54.</span><span class=\"idf9ef215b7-CharOverride-75\"> </span></div>\n<div class=\"Quest-copy-2 idf9ef215b7-ParaOverride-103\"><img alt=\"\" class=\"_idGenObjectAttribute-60\" src=\"Chapter1/115.png\"/></div>\n<div class=\"Quest-copy-2 idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-7\">55.</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">ynª,\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> B\t= {</span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">b</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">c</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">d</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">e</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">f</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">l</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">m</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\tC\t= {</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">l</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">m</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">o</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> C </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> (A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B) = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">l</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">m</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">}</span></div>\n<div class=\"Quest-copy-2 idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-7\">56.</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">ykÃkýu òýeyu Aeyu fu </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">⊂</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> A </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> B</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> (A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B) = A</span></div>\n<div class=\"Quest-copy-2\"><span class=\"idf9ef215b7-CharOverride-7\">57.</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">B </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> C = {4}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> (B </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> C) = {1, 2, 3, 4}</span></div>\n<div class=\"Quest-copy-2 idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-7\">58.</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">òu </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">B </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">⊂</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> A </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">íkku </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> B = A</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\tA </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B</span><span class=\"idf9ef215b7-CharOverride-75\">{kt ykuAk{kt ykuAk </span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\t\tMkÇÞku </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">8 </span><span class=\"idf9ef215b7-CharOverride-75\">nkuÞ.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\tòu </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B = </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">f</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">, </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\">íkku </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B) = 14 </span><span class=\"idf9ef215b7-CharOverride-75\">ÚkkÞ.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> 8 </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">≤</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">n</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B) </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">≤</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> 14</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">X</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">Y</span><span class=\"idf9ef215b7-CharOverride-58\"> </span><span class=\"idf9ef215b7-CharOverride-59\"></span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-19\">f</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">U</span></span>"
          },
          "correct_option": "D",
          "images": [
            {
              "id": "img-0",
              "path": "Chapter1/100.png",
              "position": "option:A",
              "context": "(A) (B)"
            },
            {
              "id": "img-1",
              "path": "Chapter1/101.png",
              "position": "option:A",
              "context": "(A) (B)"
            },
            {
              "id": "img-2",
              "path": "Chapter1/102.png",
              "position": "option:C",
              "context": "(C) (D)"
            },
            {
              "id": "img-3",
              "path": "Chapter1/81.png",
              "position": "option:C",
              "context": "(C) (D)"
            },
            {
              "id": "img-0",
              "path": "Chapter1/115.png",
              "position": "answer",
              "context": ""
            }
          ],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "51",
            "original_raw_text": "\t«kf]ríkf MktÏÞkykuLkk økýLku Mkkðorºkf øký ÷Eyu yLku A = {x | x – 8 = 3}, A' = ______\n52. U = {x | x ∈ R, 1 &lt; x &lt; 5}, \n\tA = {x | x ∈ N, x2 – 6x + 5 = 0} nkuÞ, \n\tíkku A' = ______\n53. U = [1, 2], A = {x | x ∈ N, x2 + x – 2 = 0} nkuÞ, íkku A' = ______\n54.\tLke[u Ãkife fE ðuLk ykf]rík{kt htøkeLk ¼køk (A ∩ B)' Ëþkoðu Au.\n55. A = {a, b, d, e}, B = {c, d, f, l, m} yLku \n C = {a, l, m, o} nkuÞ, íkku C ∩ (A ∪ B) = ______\n56.\tòu A yLku B çku økýku nkuÞ, íkku A ∩ (A ∪ B) = ______\n57.\tòu A = {1, 2, 3}, B = {3, 4}, C = {4, 5, 6} íkku A ∪ (B ∩ C) = ______\n58.\tòu øký A yLku øký B{kt yLkw¢{u 8 íkÚkk 6 M",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14",
            "needs_review": true,
            "needs_layout_review": true,
            "layout_review_reason": "question body has 10 sequential numbered stems (52/53/54/55/56/57…) — a numbered run merged into one item; split per number"
          }
        },
        {
          "sequence_no": 85,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\">\tòu <span class=\"Normal-English-Bold\">A = {1, 3, 5, 7, 9, 11, 13, 15, 17},</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-21\"><span class=\"Normal-English-Bold\">\tB = {2, 4, 6, 8, .... 18}, N = U, </span>íkku </div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\"> <span class=\"Normal-English-Bold\">A' </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English-Bold\"> ((A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English-Bold\"> B) </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∩</span><span class=\"Normal-English-Bold\"> B') = </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">______</span></div>\n<div class=\"Quest-copy-2 idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-7\">63.</span>\tòu <span class=\"Normal-English-Bold\">A = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> | </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> </span>yu <span class=\"Normal-English-Bold\">3 </span>Lkku økwýktf Au<span class=\"Normal-English-Bold\">}, </span></div>\n<div class=\"Quest-copy-2 idf9ef215b7-ParaOverride-5\"><span class=\"Normal-English-Bold\">\tB = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> | </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> </span>yu <span class=\"Normal-English-Bold\">5 </span>Lkku økwýktf Au<span class=\"Normal-English-Bold\">},</span> íkku <span class=\"Normal-English-Bold\">A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∩</span><span class=\"Normal-English-Bold\"> B = </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">_____</span></div>\n<div class=\"Quest-copy-2\"><span class=\"idf9ef215b7-CharOverride-7\">64.</span>\tLke[uLkkt Ãkife fÞku øký MkkLíkøký Au ?</div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> B) </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> B' = A – (A </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> B)</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\">ynª, </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B = </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">f </span><span class=\"idf9ef215b7-CharOverride-75\">Au.</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\tA' </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> ((A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B) </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B') </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t= A' </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> A = </span><span class=\"Normal-English-Bold\">N</span></div>\n<div class=\"Quest-copy-2 idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-7\">63.</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> A </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> B</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> A </span><span class=\"idf9ef215b7-CharOverride-75\">yLku </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\">yu </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">3 </span><span class=\"idf9ef215b7-CharOverride-75\">Lkku økwýktf Au yLku </span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\">yu </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">5</span><span class=\"idf9ef215b7-CharOverride-75\">Lkku økwýktf Au.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\">yu </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">15</span><span class=\"idf9ef215b7-CharOverride-75\">Lkku økwýktf Au.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\tA </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t= {</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> | </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\">yu </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">15 </span><span class=\"idf9ef215b7-CharOverride-75\">Lkku økwýktf Au</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">} </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t= {15, 30, 45, ...}</span></div>\n<div class=\"Quest-copy-2 idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-7\">64.</span><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">ynª, </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-83\" lang=\"en-US\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> – 5</span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> + 6 = 0</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> (</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 3)(</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – 2) = 0</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = 3, 2 </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English-Bold\">Z</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">\\</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> D = {2, 3}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"idf9ef215b7-CharOverride-75\">øký </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">D </span><span class=\"idf9ef215b7-CharOverride-75\">MkkLík øký Au.</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\"></span><span class=\"idf9ef215b7-CharOverride-59\"></span><span class=\"Normal-English\">A = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">x</span><span class=\"Normal-English\"> | </span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">Z</span><span class=\"Normal-English\"> </span><span class=\"idf9ef215b7-CharOverride-61\">yLku </span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"idf9ef215b7-CharOverride-61\"> Þwø{ Au.</span><span class=\"Normal-English\">}</span><span class=\"idf9ef215b7-CharOverride-58\"> </span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\"></span><span class=\"Normal-English\">B = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">x</span><span class=\"Normal-English\"> | </span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">N</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">x</span><span class=\"Normal-English\"> &gt; 5}</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\"></span><span class=\"idf9ef215b7-CharOverride-59\"></span><span class=\"Normal-English\">C = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">x</span><span class=\"Normal-English\"> | </span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">R</span><span class=\"Normal-English\">, 0 &lt; </span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">x</span><span class=\"Normal-English\"> &lt; 1}}</span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\"></span><span class=\"Normal-English\">D = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">x</span><span class=\"Normal-English\"> | </span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">Z</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English\"> – 5</span><span class=\"Normal-English idf9ef215b7-CharOverride-74\">x</span><span class=\"Normal-English\"> + 6 = 0}</span></span>"
          },
          "correct_option": "B",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-6",
            "source_number": "62",
            "original_raw_text": "\tòu A = {1, 3, 5, 7, 9, 11, 13, 15, 17},\n\tB = {2, 4, 6, 8, .... 18}, N = U, íkku \n A' ∪ ((A ∪ B) ∩ B') = ______\n63.\tòu A = {x | x yu 3 Lkku økwýktf Au}, \n\tB = {x | x yu 5 Lkku økwýktf Au}, íkku A ∩ B = _____\n64.\tLke[uLkkt Ãkife fÞku øký MkkLíkøký Au ?",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 86,
          "question_text": "<div class=\"Quest\">\tÄkhku fu <span class=\"Normal-English-Bold\">U = N. A =</span> Þwø{ «kf]ríkf MktÏÞkykuLkku øký íkku <span class=\"Normal-English-Bold\">A' =</span> <span class=\"Normal-English idf9ef215b7-CharOverride-52\">______</span>.</div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">U = </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-US\">N</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> = {1, 2, 3, ...}</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A =</span><span class=\"idf9ef215b7-CharOverride-75\"> Þwø{ «kf]ríkf MktÏÞkykuLkku øký</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A = {2, 4, 6, ...}</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-87\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A'\t= {1, 3, 5, ...}</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">= </span><span class=\"idf9ef215b7-CharOverride-75\">yÞwø{ «kf]ríkf </span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\t\t\t  MktÏÞkykuLkku øký</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\"></span><span class=\"idf9ef215b7-CharOverride-59\"></span><span class=\"idf9ef215b7-CharOverride-61\">yÞwø{ «kf]ríkf MktÏÞkykuLkku øký</span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\"></span><span class=\"idf9ef215b7-CharOverride-61\">yrð¼kßÞ MktÏÞkykuLkku øký</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\"></span><span class=\"idf9ef215b7-CharOverride-59\"></span><span class=\"idf9ef215b7-CharOverride-61\">Þwø{ MktÏÞkykuLkku øký</span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\"></span><span class=\"Normal-English-Bold\">N</span></span>"
          },
          "correct_option": "A",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "65",
            "original_raw_text": "\tÄkhku fu U = N. A = Þwø{ «kf]ríkf MktÏÞkykuLkku øký íkku A' = ______.",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 87,
          "question_text": "<div class=\"Quest\">\tøký <span class=\"Normal-English-Bold\">A = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> | </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> R, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold\"> = 16</span> yLku <span class=\"Normal-English-Bold\">2</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> = 6}</span> yu <span class=\"Normal-English idf9ef215b7-CharOverride-52\">________</span> Au.</div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">øký\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A\t= {</span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> | </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-US\">R</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-83\" lang=\"en-US\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> = 16</span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\"> </span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-51\"><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">yLku </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> = 6}</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">= {</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> | </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English-Bold\">R</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">±</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">4</span><span class=\"idf9ef215b7-CharOverride-75\"> </span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-33\"><span class=\"idf9ef215b7-CharOverride-75\">yLku </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> = 3}</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-87\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A\t=\t{–4, 3, 4}</span><span class=\"idf9ef215b7-CharOverride-75\"> yLku </span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\t\t\t\tAuË </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">{–4, 4} </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> {3}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t\t=\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">φ</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-62\">φ</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">(4, –4)</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">{4, –4, 3}</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">{3}</span></span>"
          },
          "correct_option": "A",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "66",
            "original_raw_text": "\tøký A = {x | x ∈ R, x2 = 16 yLku 2x = 6} yu ________ Au.",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 88,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\">\tòu <span class=\"Normal-English-Bold\">A, B, C</span> ºký yrhõíkøkýku nkuÞ íkku,</div>\n<div class=\"Quest-copy-2 idf9ef215b7-ParaOverride-5\"> <span class=\"Normal-English-Bold\">(A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∩</span><span class=\"Normal-English-Bold\"> B) </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∩</span><span class=\"Normal-English-Bold\"> (B </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∩</span><span class=\"Normal-English-Bold\"> C) </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∩</span><span class=\"Normal-English-Bold\"> (C </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∩</span><span class=\"Normal-English-Bold\"> A)</span> <span class=\"Normal-English idf9ef215b7-CharOverride-52\">______</span></div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">ðuLk ykf]rík ÃkhÚke,</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-27\"><span class=\"idf9ef215b7-CharOverride-75\"><img alt=\"\" class=\"_idGenObjectAttribute-79\" src=\"Chapter1/116.png\"/></span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\tyrhõík økýku </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A, B, C</span><span class=\"idf9ef215b7-CharOverride-75\"> {kxu</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B) </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> (B </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> C) </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> (C </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> A)</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t=\tA </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> C </span><span class=\"idf9ef215b7-CharOverride-75\">ÚkkÞ.</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∪</span><span class=\"Normal-English\"> B </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∪</span><span class=\"Normal-English\"> C</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∩</span><span class=\"Normal-English\"> B </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∩</span><span class=\"Normal-English\"> C</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-62\">φ</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">U</span></span>"
          },
          "correct_option": "B",
          "images": [
            {
              "id": "img-0",
              "path": "Chapter1/116.png",
              "position": "answer",
              "context": ""
            }
          ],
          "tables": [],
          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-6",
            "source_number": "67",
            "original_raw_text": "\tòu A, B, C ºký yrhõíkøkýku nkuÞ íkku,\n (A ∩ B) ∩ (B ∩ C) ∩ (C ∩ A) ______",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 89,
          "question_text": "<div class=\"Quest\">\tÉý ðkMíkrðf MktÏÞkykuLkku øký </div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">ynª </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">(–</span><span class=\"Normal-English idf9ef215b7-CharOverride-82\">∞</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">, 0)</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\tyu Éý ðkMíkrðf MktÏÞkykuLkku øký ÚkkÞ.</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">(–</span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∞</span><span class=\"Normal-English\">, 0</span><span class=\"Normal-English\">]</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">(–</span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∞</span><span class=\"Normal-English\">, 0</span><span class=\"Normal-English\">)</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">{..., –3, –2, –1)</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> | </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">Q</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> &lt; 0</span><span class=\"Normal-English\">}</span></span>"
          },
          "correct_option": "B",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "68",
            "original_raw_text": "\tÉý ðkMíkrðf MktÏÞkykuLkku øký ",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 90,
          "question_text": "<div class=\"Quest\">\tyLk]ý ðkMíkrðf MktÏÞkykuLkku øký</div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"idf9ef215b7-CharOverride-77\" lang=\"en-US\">yLk]ý ðkMíkrðf MktÏÞkyku yux÷u Éý Lk nkuÞ íkuðe ðkMíkrðf MktÏÞkyku ÚkkÞ.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">0</span><span class=\"idf9ef215b7-CharOverride-75\"> yu ÄLk fu Éý LkÚke.</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t[0, </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∞</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">)</span><span class=\"idf9ef215b7-CharOverride-75\"> {kxu, </span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∀</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> [0, </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∞</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">) </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-88\">&gt;</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> 0</span><span class=\"idf9ef215b7-CharOverride-75\"> ÚkkÞ.</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">[</span><span class=\"Normal-English\">0, </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∞</span><span class=\"Normal-English\">)</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">(0, </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∞</span><span class=\"Normal-English\">)</span><span class=\"idf9ef215b7-CharOverride-58\"> </span><span class=\"idf9ef215b7-CharOverride-59\"></span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">(–</span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∞</span><span class=\"Normal-English\">, 0</span><span class=\"Normal-English\">)</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English-Bold\">N</span></span>"
          },
          "correct_option": "A",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "69",
            "original_raw_text": "\tyLk]ý ðkMíkrðf MktÏÞkykuLkku øký",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 91,
          "question_text": "<div class=\"Quest\">\tytíkhk÷ <span class=\"Normal-English-Bold\">[5, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∞</span><span class=\"Normal-English-Bold\">)</span> Lke ÷tçkkE <span class=\"Normal-English idf9ef215b7-CharOverride-52\">______</span>.</div>",
          "answer_text": "<div class=\"Quest\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"idf9ef215b7-CharOverride-77\">Lk {¤u</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">5</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">4</span><span class=\"idf9ef215b7-CharOverride-58\"> </span><span class=\"idf9ef215b7-CharOverride-59\"></span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-61\">Lk {¤u</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">0</span></span>"
          },
          "correct_option": "C",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "70",
            "original_raw_text": "\tytíkhk÷ [5, ∞) Lke ÷tçkkE ______.",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 92,
          "question_text": "<div class=\"Quest\"> <span class=\"Normal-English-Bold\">B = {2, 3, 4}, C = {2, 3, 5}, X </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">⊂</span><span class=\"Normal-English-Bold\"> B, X </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">≠</span><span class=\"Normal-English-Bold\"> B, X </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">⊄</span><span class=\"Normal-English-Bold\"> C</span> þhíkkuLkwt Ãkk÷Lk fhíkkt ík{k{ <span class=\"Normal-English-Bold\">X = </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">______</span>.</div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">B =\t{2, 3, 4},</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\tC =\t{2, 3, 5}, X </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">⊂</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B, </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t\tX </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">≠</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> B, X </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">⊄</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> C</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\tX = {4}, </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\tX = {2, 4},</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\tX = {3, 4}</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">X = {4}, {2, 4}, {3, 4}</span><span class=\"idf9ef215b7-CharOverride-75\"> </span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\t\tsu þõÞ çkLku.</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">{4}, {2, 4}, {3, 4}</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">{4}, {2, 5}, {3, 4}</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">{2}, {3}, {2, 3}</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">{4}</span></span>"
          },
          "correct_option": "A",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "71",
            "original_raw_text": " B = {2, 3, 4}, C = {2, 3, 5}, X ⊂ B, X ≠ B, X ⊄ C þhíkkuLkwt Ãkk÷Lk fhíkkt ík{k{ X = ______.",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 93,
          "question_text": "<div class=\"Quest\">\tòu <span class=\"Normal-English-Bold\">U = N, A = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> | </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> N, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span> yu <span class=\"Normal-English-Bold\">3</span>Lkku yðÞðe<span class=\"Normal-English-Bold\">},</span> íkku <span class=\"Normal-English-Bold\">(A')' =</span> <span class=\"Normal-English idf9ef215b7-CharOverride-52\">______</span>.</div>",
          "answer_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">U\t= {1, 2, 3, 4, ...}</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A\t= {</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> | </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> N, </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">x</span><span class=\"idf9ef215b7-CharOverride-75\"> yu </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">3</span><span class=\"idf9ef215b7-CharOverride-75\">Lkku yðÞðe</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">}</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">= {3, 6, 9, 12, ...}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t(A')' = A</span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">A</span><span class=\"idf9ef215b7-CharOverride-75\">Lkk WÃkøkýLke MktÏÞk </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">B</span><span class=\"idf9ef215b7-CharOverride-75\">Lkk </span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\t\tfw÷ WÃkøkýLke MktÏÞk fhíkkt </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">16</span><span class=\"idf9ef215b7-CharOverride-75\"> </span></div>\n<div class=\"Normal-copy\"><span class=\"idf9ef215b7-CharOverride-75\">\t\tøkýe nkuðkÚke,</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-43\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-13\">p</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= 16 × 2</span><span class=\"Normal-English idf9ef215b7-CharOverride-13\">q</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-113\"><span class=\"Normal-English idf9ef215b7-CharOverride-13\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> <img alt=\"\" class=\"_idGenObjectAttribute-81\" src=\"Chapter1/EQ-0712-102636.png\"/>\t= 16</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-74\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">(2)</span><span class=\"Normal-English idf9ef215b7-CharOverride-13\">p</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">–</span><span class=\"Normal-English idf9ef215b7-CharOverride-13\">q</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= 2</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">4</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-9\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\">∴\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">p</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\"> – </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\">q</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t= 4</span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\"></span><span class=\"idf9ef215b7-CharOverride-59\"></span><span class=\"Normal-English-Bold\">N</span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\"></span><span class=\"Normal-English\">A</span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\"></span><span class=\"idf9ef215b7-CharOverride-59\"></span><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"Normal-English\"> | </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∈</span><span class=\"Normal-English\"> </span><span class=\"Normal-English-Bold\">N</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">x</span><span class=\"idf9ef215b7-CharOverride-61\"> yu </span><span class=\"Normal-English\">3</span><span class=\"idf9ef215b7-CharOverride-61\">Lkku yðÞðe Lk nkuÞ</span><span class=\"Normal-English\">}</span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"idf9ef215b7-CharOverride-58\"></span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">φ</span></span>"
          },
          "correct_option": "B",
          "images": [
            {
              "id": "img-0",
              "path": "Chapter1/EQ-0712-102636.png",
              "position": "answer",
              "context": "∴ = 16"
            }
          ],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "72",
            "original_raw_text": "\tòu U = N, A = {x | x ∈ N, x yu 3Lkku yðÞðe}, íkku (A')' = ______.",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 94,
          "question_text": "<div class=\"Quest\">\tòu <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\">(A) = </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">p</span><span class=\"Normal-English-Bold\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">n</span><span class=\"Normal-English-Bold\">(B) = </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">q</span> yLku <span class=\"Normal-English-Bold\">A</span> Lkk fw÷ WÃkøkýkuLke MktÏÞk <span class=\"Normal-English-Bold\">B</span>Lkk fw÷ WÃkøkýkuLke MktÏÞk fhíkkt <span class=\"Normal-English-Bold\">16</span> økýe Au, íkku <span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">p</span><span class=\"Normal-English-Bold\"> – </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">q</span> <span class=\"Normal-English idf9ef215b7-CharOverride-52\">______</span>.</div>",
          "answer_text": "",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">4</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">2</span><span class=\"idf9ef215b7-CharOverride-58\"> </span><span class=\"idf9ef215b7-CharOverride-59\"></span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">16</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">8</span></span>"
          },
          "correct_option": "A",
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "73",
            "original_raw_text": "\tòu n(A) = p, n(B) = q yLku A Lkk fw÷ WÃkøkýkuLke MktÏÞk BLkk fw÷ WÃkøkýkuLke MktÏÞk fhíkkt 16 økýe Au, íkku p – q ______.",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "hints_block",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
          }
        },
        {
          "sequence_no": 95,
          "question_text": "<div class=\"Quest idf9ef215b7-ParaOverride-6\">\tòu\t<span class=\"Normal-English-Bold\">A = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> | 3</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold\"> – 7</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> – 6 = 0, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> R}</span> yLku </div>\n<div class=\"Quest idf9ef215b7-ParaOverride-21\"> <span class=\"Normal-English-Bold\">B = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> | 6</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-9\">2</span><span class=\"Normal-English-Bold\"> – 5</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> – 6 = 0, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-8\">x</span><span class=\"Normal-English-Bold\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∈</span><span class=\"Normal-English-Bold\"> R}</span> </div>\n<div class=\"Quest idf9ef215b7-ParaOverride-5\">\tíkku <span class=\"Normal-English-Bold\">A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-2\">∩</span><span class=\"Normal-English-Bold\"> B =</span> <span class=\"Normal-English idf9ef215b7-CharOverride-52\">______</span>.</div>",
          "answer_text": "<div class=\"Quest\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">A\t= {</span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> | 3</span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-83\" lang=\"en-US\">2 </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">– 7</span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> – 6 = 0, </span><span class=\"Normal-English idf9ef215b7-CharOverride-78\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-82\" lang=\"en-US\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-US\">R</span><span class=\"Normal-English idf9ef215b7-CharOverride-76\" lang=\"en-US\">}</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\">\t\t= </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> | 3</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\" lang=\"en-US\">2 </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">– 9</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> + 2</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> – 6 = 0, </span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-117\"><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English-Bold\" lang=\"en-US\">R</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">}</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">\t\t= {</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> | 3</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">(</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> – 3) + 2(</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> – 3) = 0, </span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-117\"><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English-Bold\" lang=\"en-US\">R</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">}</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">\t\t= {</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> | (3</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">+ 2) (</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> – 3), </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English-Bold\" lang=\"en-US\">R</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">}</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-107\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">\t\t= <img alt=\"\" class=\"_idGenObjectAttribute-82\" src=\"Chapter1/EQ-0712-103701.png\"/></span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">\tB\t= {</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> | 6</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\" lang=\"en-US\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> – 5</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> – 6 = 0, </span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English-Bold\" lang=\"en-US\">R</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">}</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">\t\t= {</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> | 6</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\" lang=\"en-US\">2</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> – 9</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> + 4</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> – 6 = 0, </span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-117\"><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English-Bold\" lang=\"en-US\">R</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">}</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">\t\t= {</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> | 3</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">(2</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> – 3) + 2(2</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> – 3) = 0,</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-117\"><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English-Bold\" lang=\"en-US\">R</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">}</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-8\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">\t\t= {</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> | (3</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> + 2) (2</span><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> – 3) = 0,</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-117\"><span class=\"Normal-English idf9ef215b7-CharOverride-21\" lang=\"en-US\">x</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">∈</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English-Bold\" lang=\"en-US\">R</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">}</span></div>\n<div class=\"Normal-copy idf9ef215b7-ParaOverride-107\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">\t\t= <img alt=\"\" class=\"_idGenObjectAttribute-82\" src=\"Chapter1/EQ-0712-103701.png\"/></span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\">\tA </span><span class=\"Normal-English idf9ef215b7-CharOverride-19\" lang=\"en-US\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-18\" lang=\"en-US\"> B = <img alt=\"\" class=\"_idGenObjectAttribute-63\" src=\"Chapter1/EQ-0712-103323.png\"/></span></div>\n<div class=\"Normal-copy\">\t{{íkk þ{koyu Äkuhý <span class=\"Normal-English\">XI</span>Lkk ðøko rþûkf Au. su{Lku ºký økýLku Lke[u {wsçk ËþkoÔÞk fu suÚke </div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English\">A = {1, 3, 5, 7, 9}, </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\">\tB = {2, 4, 6, 8}</span> yLku </div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English\">C = {2, 3, 5, 7, 11}.</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-119\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(i)\t</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">A</span><span class=\"idf9ef215b7-CharOverride-96\"> </span><span class=\"idf9ef215b7-CharOverride-96\">yLku </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">C</span><span class=\"idf9ef215b7-CharOverride-96\">Lkku AuËøký ÷¾ku.</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-119\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(ii)\t</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">A</span><span class=\"idf9ef215b7-CharOverride-96\"> </span><span class=\"idf9ef215b7-CharOverride-96\">yLku </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">B</span><span class=\"idf9ef215b7-CharOverride-96\"> yu y÷øk øký Au fu Lknª íku Lk¬e fhku.</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-119\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(iii)\t</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">B </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-64\">∩</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\"> C =</span><span class=\"idf9ef215b7-CharOverride-96\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">________</span><span class=\"idf9ef215b7-CharOverride-96\">.</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-119\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(iv</span><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-96\" lang=\"en-US\">)\t</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-64\">∩</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\"> B </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-64\">∩</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\"> C =</span><span class=\"idf9ef215b7-CharOverride-96\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">________</span><span class=\"idf9ef215b7-CharOverride-96\">.</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-97\">Mk{sqíke :</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-8\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(i)\t\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> C\t= {1, 3, 5, 7, 9} </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∩ </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">{2, 3, 5, 7, 11}</span></div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English\">= {3, 5, 7}</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(ii)\t\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> B\t= {1, 3, 5, 7, 9} </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∩ </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">{2, 4, 6, 8}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-1\"> </span><span class=\"Normal-English\">= </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">φ</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-1\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∴</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\"> </span><span class=\"Normal-English\">A</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\"> </span>yLku <span class=\"Normal-English\">B</span><span class=\"idf9ef215b7-CharOverride-52\"> yu y÷øk øký Au.</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(iii)\t\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">B</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> C\t= {2, 4, 6, 8} </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∩ </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">{2, 3, 5, 7, 11}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-1\"> </span><span class=\"Normal-English\">= {2}</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(iv)\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> B </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∩ </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">C</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">\t= </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">φ</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∩</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> C</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-1\"> </span><span class=\"Normal-English\">= </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">φ</span></div>\n<div class=\"Normal-copy\">\tLke[u ykÃku÷ øký\t<span class=\"Normal-English\">A = {1, 2, 3, 4}, </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\">\t\t\tB = {3, 4, 5, 6}, </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\">\t\t\tC = {5, 6, 7, 8}</span> yLku </div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\">\t\t\tD = {7, 8, 9, 10}</span> nkuÞ íkku,</div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-120\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(i)\t</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-64\">∪</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\"> B =</span><span class=\"idf9ef215b7-CharOverride-96\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">________</span><span class=\"idf9ef215b7-CharOverride-96\">.</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-120\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(ii)\t</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">B </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-64\">∪</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\"> C </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-64\">∪</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\"> D =</span><span class=\"idf9ef215b7-CharOverride-96\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">________</span><span class=\"idf9ef215b7-CharOverride-96\">.</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-120\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(iii)\t</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-64\">∪</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\"> B </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-64\">∪</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\"> D =</span><span class=\"idf9ef215b7-CharOverride-96\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">________</span><span class=\"idf9ef215b7-CharOverride-96\">.</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-120\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(iv)\t</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">B </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-64\">∪</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\"> D =</span><span class=\"idf9ef215b7-CharOverride-96\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">________</span><span class=\"idf9ef215b7-CharOverride-96\">.</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-97\">Mk{sqíke :</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(i)\t\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> B\t= {1, 2, 3, 4} </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∪ </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">{3, 4, 5, 6}</span></div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English\">= {1, 2, 3, 4, 5, 6}</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(ii)\t\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">B </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> C </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> D\t= {3, 4, 5, 6} </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∪ </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">{5, 6, 7, 8} </span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-5\"><span class=\"Physics-Character-Style-1_Ques-Number\"><span class=\"Normal-English idf9ef215b7-CharOverride-70\" lang=\"en-US\">∪ </span></span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">{7, 8, 9, 10}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-1\"> </span><span class=\"Normal-English\">= {3, 4, 5, 6, 7, 8, 9, 10}</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(iii)\t\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> B </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> D\t= {1, 2, 3, 4} </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∪ </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">{3, 4, 5, 6} </span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-5\"><span class=\"Physics-Character-Style-1_Ques-Number\"><span class=\"Normal-English idf9ef215b7-CharOverride-70\" lang=\"en-US\">∪</span></span><span class=\"Physics-Character-Style-1_Ques-Number\"><span class=\"Normal-English idf9ef215b7-CharOverride-52\" lang=\"en-US\"> </span></span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">{7, 8, 9, 10}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-1\"> </span><span class=\"Normal-English\">= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(iv)\t\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">B </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> D\t= {3, 4, 5, 6} </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∪ </span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">{7, 8, 9, 10}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-1\"> </span><span class=\"Normal-English\">= {3, 4, 5, 6, 7, 8, 9, 10}</span></div>\n<div class=\"Normal-copy\">\tWÃkøkýLke MktÏÞk <span class=\"Normal-English\">= 2</span><span class=\"Normal-English idf9ef215b7-CharOverride-13\">n</span><span class=\"Normal-English\">,</span> ßÞkt, <span class=\"Normal-English idf9ef215b7-CharOverride-1\">n</span> yu øký{kt hnu÷k ½xfkuLke MktÏ[k Au.</div>\n<div class=\"Normal-copy\">\tLke[u ykÃku÷ økýLkkt WÃkøký ÷¾ku.</div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-120\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(i)\t</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">= {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-98\">a</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">}</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-120\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(ii)\t</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">B</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">= {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-98\">a</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-98\">b</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">}</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-120\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(iii</span><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-96\" lang=\"en-US\">)\t</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">C</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\"> </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">= {1, 2, 3}</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-120\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(iv</span><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-96\" lang=\"en-US\">)\t</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">D </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">= </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-64\">φ</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-97\">Mk{sqíke :</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(i)\t\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">A = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-63\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">}</span></div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English\">A</span>Lkk WÃkøkýLke MktÏÞk\t<span class=\"Normal-English\">= 2'</span></div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English\">= 2</span></div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English idf9ef215b7-CharOverride-2\">∴</span> <span class=\"Normal-English\">A</span>Lkk WÃkøkýku <span class=\"Normal-English\">= </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">φ</span><span class=\"Normal-English\">, {</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">a</span><span class=\"Normal-English\">}</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(ii)\t\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">B = {</span><span class=\"Normal-English idf9ef215b7-CharOverride-63\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-63\">b</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-1\"> </span><span class=\"Normal-English\">B</span>Lkk WÃkøkýLke MktÏÞk\t<span class=\"Normal-English\">= 2</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">2</span></div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English\">= 4</span></div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English\">B</span>Lkk WÃkøkýku <span class=\"Normal-English\">= </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">φ</span><span class=\"Normal-English\">, {</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">a</span><span class=\"Normal-English\">}, {</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">b</span><span class=\"Normal-English\">}, {</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">a</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">b</span><span class=\"Normal-English\">}</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(iii)\t\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">C = {1, 2, 3}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-1\"> </span><span class=\"Normal-English\">C</span>Lkk WÃkøkýLke MktÏÞk\t<span class=\"Normal-English\">= 2</span><span class=\"Normal-English idf9ef215b7-CharOverride-13\">n</span></div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English\">= 2</span><span class=\"Normal-English idf9ef215b7-CharOverride-9\">3</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-9\"> </span><span class=\"Normal-English\">= 8</span></div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English\">C</span>Lkk WÃkøkýku <span class=\"Normal-English\">= </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">φ</span><span class=\"Normal-English\">, {1}, {2}, {3}, {1, 2}, </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\">{1, 3}, {2, 3}, {1, 2, 3}</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(iv)\t\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">D = </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">φ</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English idf9ef215b7-CharOverride-1\"> </span><span class=\"Normal-English\">D</span>Lkk WÃkøkýLke MktÏÞk\t<span class=\"Normal-English\">= 2°</span></div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English\">= 1</span></div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English\">D</span>Lkk WÃkøkýku <span class=\"Normal-English\">= </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">φ</span></div>\n<div class=\"Normal-copy\">\tÃkqhf øký\t:\tøký <span class=\"Normal-English\">A</span> rMkðkÞLkk Mkkðorºkf øký <span class=\"Normal-English\">U</span>{kt nkuÞ íkuðk ½xfkuÚke çkLkíkk økýLku Ãkqhf øký fnu Au.</div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English\">A' = U – A</span></div>\n<div class=\"Normal-copy\">\tWÃkhLke {krníke ÃkhÚke Lke[uLkk «§kuLkk sðkçk ykÃkku.</div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-119\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(i)\t</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">U </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">= {1, 2</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-99\" lang=\"en-GB\">,</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\"> 3, 4, 5, 6, 7, 8, 9}</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-121\"><span class=\"Physics-Character-Style-1_Ques-Number\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-US\"> </span></span><span class=\"Physics-Character-Style-1_Ques-Number\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-GB\">A</span></span><span class=\"Physics-Character-Style-1_Ques-Number\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-US\"> </span></span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">= {1, 2, 3, 4}, B = {2, 4, 6, 8}</span><span class=\"idf9ef215b7-CharOverride-96\"> </span><span class=\"idf9ef215b7-CharOverride-96\">yLku </span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-121\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\"> </span><span class=\"Physics-Character-Style-1_Ques-Number\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-GB\">C</span></span><span class=\"Physics-Character-Style-1_Ques-Number\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-US\"> </span></span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">= {3, 4, 5, 6} </span><span class=\"idf9ef215b7-CharOverride-96\">nkuÞ, íkku </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">(A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-64\">∪</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\"> C)' </span><span class=\"idf9ef215b7-CharOverride-96\">þkuÄku.</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-119\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(ii)\t</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">U </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">= {1, 2</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-99\" lang=\"en-GB\">,</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\"> 3, 4, 5, 6, 7, 8, 9}</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-121\"><span class=\"Physics-Character-Style-1_Ques-Number\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-US\"> </span></span><span class=\"Physics-Character-Style-1_Ques-Number\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-GB\">A</span></span><span class=\"Physics-Character-Style-1_Ques-Number\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-US\"> </span></span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">= {1, 2, 3, 4}, B = {2, 4, 6, 8}</span><span class=\"idf9ef215b7-CharOverride-96\"> </span><span class=\"idf9ef215b7-CharOverride-96\">yLku </span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-121\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\"> </span><span class=\"Physics-Character-Style-1_Ques-Number\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-GB\">C</span></span><span class=\"Physics-Character-Style-1_Ques-Number\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-US\"> </span></span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">= {3, 4, 5, 6} </span><span class=\"idf9ef215b7-CharOverride-96\">nkuÞ, íkku </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">(A')' </span><span class=\"idf9ef215b7-CharOverride-96\">þkuÄku.</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-119\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(iii)\t</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">U </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">= {1, 2</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-99\" lang=\"en-GB\">,</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\"> 3, 4, 5, 6, 7, 8, 9}</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-121\"><span class=\"Physics-Character-Style-1_Ques-Number\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-US\"> </span></span><span class=\"Physics-Character-Style-1_Ques-Number\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-GB\">A</span></span><span class=\"Physics-Character-Style-1_Ques-Number\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-US\"> </span></span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">= {1, 2, 3, 4}, B = {2, 4, 6, 8}</span><span class=\"idf9ef215b7-CharOverride-96\"> </span><span class=\"idf9ef215b7-CharOverride-96\">yLku </span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-121\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\"> </span><span class=\"Physics-Character-Style-1_Ques-Number\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-GB\">C</span></span><span class=\"Physics-Character-Style-1_Ques-Number\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-US\"> </span></span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">= {3, 4, 5, 6} </span><span class=\"idf9ef215b7-CharOverride-96\">nkuÞ, íkku </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">(B </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">–</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\"> C)' </span><span class=\"idf9ef215b7-CharOverride-96\">þkuÄku.</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-119\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(iv)\t</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">U </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">= {1, 2</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-99\" lang=\"en-GB\">,</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\"> 3, 4, 5, 6, 7, 8, 9}</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-121\"><span class=\"Physics-Character-Style-1_Ques-Number\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-US\"> </span></span><span class=\"Physics-Character-Style-1_Ques-Number\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-GB\">A</span></span><span class=\"Physics-Character-Style-1_Ques-Number\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-US\"> </span></span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">= {1, 2, 3, 4}, B = {2, 4, 6, 8}</span><span class=\"idf9ef215b7-CharOverride-96\"> </span><span class=\"idf9ef215b7-CharOverride-96\">yLku </span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-121\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\"> </span><span class=\"Physics-Character-Style-1_Ques-Number\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-GB\">C</span></span><span class=\"Physics-Character-Style-1_Ques-Number\"><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\" lang=\"en-US\"> </span></span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">= {3, 4, 5, 6} </span><span class=\"idf9ef215b7-CharOverride-96\">nkuÞ, íkku </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">(A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-64\">∪</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\"> B)' </span><span class=\"idf9ef215b7-CharOverride-96\">þkuÄku.</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-97\">Mk{sqíke :</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(i)\t\t\t\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> C\t= {1, 2, 3, 4} </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> {3, 4, 5, 6}</span></div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English\">= {1, 2, 3, 4, 5, 6}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\">\t\t\t(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∪ </span><span class=\"Normal-English\">C)'\t= U – (A </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∪</span><span class=\"Normal-English\"> C)</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∴\t</span><span class=\"Normal-English\"> </span><span class=\"Normal-English\">(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-62\">∪ </span><span class=\"Normal-English\">C)'\t= {1, 2, 3, 4, 5</span><span class=\"Normal-English\">, 6, 7, 8, 9} </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\">– {1, 2, 3, 4, 5, 6}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\">\t\t\t\t= {7, 8, 9}</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(ii)\t\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">A'\t= U – A</span></div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English\">= {1, 2, 3, 4, 5, 6, 7, 8, 9} – {1, 2, 3, 4}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\">\t\t= {5, 6, 7, 8, 9}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\">\t(A')'\t= U – A'</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\">\t\t= {1, 2, 3, 4, 5, 6, 7, 8, 9} – {5, 6, 7, 8, 9}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\">\t\t= {1, 2, 3, 4}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\">\t\t= A</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(iii)\t\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">B – C\t= {2, 4, 6, 8} – {3, 4, 5, 6}</span></div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English\">= {2, 8}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\">\t(B – C)'\t= U – (B – C)</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\">\t\t= {1, 2, 3, 4, 5, 6, 7, 8, 9} – (2, 8)</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\">\t\t= {1, 3, 4, 5, 6, 7, 9}</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(iv)\t\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">A </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> B\t= {1, 2, 3, 4} </span><span class=\"Normal-English idf9ef215b7-CharOverride-64\">∪</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\"> {2, 4, 6, 8}</span></div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English\">= {1, 2, 3, 4, 6, 8}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\">\t(A </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English\"> B)'\t= U – (A </span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">∪</span><span class=\"Normal-English\"> B)</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\">\t\t= {1, 2, 3, 4, 5, 6, 7, 8, 9}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\"> – {1, 2, 3, 4, 6, 8}</span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\">\t\t= {5, 7, 9}</span></div>\n<div class=\"Normal-copy\">\t½kíkøký\t:\tøký <span class=\"Normal-English\">A</span>Lkk WÃkøkýkuÚke çkLkíkk økýLku øký <span class=\"Normal-English\">A</span>Lkku ½kíkøký fnu Au.</div>\n<div class=\"Normal-copy\">\tsuLku <span class=\"Normal-English\">P(A)</span> ðzu ËþkoðkÞ Au.</div>\n<div class=\"Normal-copy\">\tWÃkhLke {krníke ÃkhÚke Lke[uLkk «§kuLkk sðkçk ykÃkku.</div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-122\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(i)\t</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">A </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">= {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-98\">a</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-98\">b</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">}</span><span class=\"idf9ef215b7-CharOverride-96\"> </span><span class=\"idf9ef215b7-CharOverride-96\">nkuÞ, íkku </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">P(A)</span><span class=\"idf9ef215b7-CharOverride-96\"> {u¤ðku.</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-122\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(ii)\t</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">B </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">= {1, 2, 3, 4}</span><span class=\"idf9ef215b7-CharOverride-96\"> </span><span class=\"idf9ef215b7-CharOverride-96\">nkuÞ, íkku </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">P(B)</span><span class=\"idf9ef215b7-CharOverride-96\"> {u¤ðku.</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-120\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(iii</span><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-96\" lang=\"en-US\">)\t</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">C </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">= {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-98\">a</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">}</span><span class=\"idf9ef215b7-CharOverride-96\"> </span><span class=\"idf9ef215b7-CharOverride-96\">nkuÞ, íkku </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">P(C)</span><span class=\"idf9ef215b7-CharOverride-96\"> þkuÄku.</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1 idf9ef215b7-ParaOverride-120\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(iv</span><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-96\" lang=\"en-US\">)\t</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">D = {</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-98\">a</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-98\">b</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">, </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-98\">c</span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">}</span><span class=\"idf9ef215b7-CharOverride-96\"> nkuÞ, íkku </span><span class=\"Normal-English-Bold idf9ef215b7-CharOverride-52\">P(D)</span><span class=\"idf9ef215b7-CharOverride-96\"> þkuÄku.</span></div>\n<div class=\"Quest idf9ef215b7-ParaOverride-6\"><span class=\"idf9ef215b7-CharOverride-97\">Mk{sqíke :</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(i)\t\t\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">A\t= {</span><span class=\"Normal-English idf9ef215b7-CharOverride-63\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-63\">b</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">}</span></div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English\">P(i)\t= {</span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">φ</span><span class=\"Normal-English\">, {</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">a</span><span class=\"Normal-English\">}, {</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">b</span><span class=\"Normal-English\">}, {</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">a</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">b</span><span class=\"Normal-English\">}}</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(ii)\t\t\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">B\t= {1, 2, 3, 4}</span></div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English\">P(ii)\t= {</span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">φ</span><span class=\"Normal-English\">, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\">{1, 4}, {2, 3}, {2, 4}, {3, 4}, </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\">{1, 2, 3}, {1, 2, 4}, {1, 3, 4}, </span></div>\n<div class=\"Normal-copy\"><span class=\"Normal-English\">{2, 3, 4}, {1, 2, 3, 4}}</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(iii)\t\t\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">C\t= {</span><span class=\"Normal-English idf9ef215b7-CharOverride-63\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">}</span></div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English\">P(iii)\t= {</span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">φ</span><span class=\"Normal-English\">, {</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">a</span><span class=\"Normal-English\">}}</span></div>\n<div class=\"Question_S1-to-S4_Questions_S1\"><span class=\"Physics-Character-Style-1_Ques-Number idf9ef215b7-CharOverride-52\" lang=\"en-US\">(iv)\t\t\t</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">D\t= {</span><span class=\"Normal-English idf9ef215b7-CharOverride-63\">a</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">,</span><span class=\"Normal-English idf9ef215b7-CharOverride-63\"> b</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">,</span><span class=\"Normal-English idf9ef215b7-CharOverride-63\"> c</span><span class=\"Normal-English idf9ef215b7-CharOverride-52\">}</span></div>\n<div class=\"Normal-copy\"> <span class=\"Normal-English\">P(iv)\t= </span><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-2\">φ</span><span class=\"Normal-English\">, {</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">a</span><span class=\"Normal-English\">}, </span><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">b</span><span class=\"Normal-English\">}, </span><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">c</span><span class=\"Normal-English\">}, </span><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">a</span><span class=\"Normal-English\">,</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\"> b</span><span class=\"Normal-English\">}, </span><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">a</span><span class=\"Normal-English\">,</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\"> c</span><span class=\"Normal-English\">}, </span><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">b</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">c</span><span class=\"Normal-English\">}, </span><span class=\"Normal-English\">{</span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">a</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">b</span><span class=\"Normal-English\">, </span><span class=\"Normal-English idf9ef215b7-CharOverride-1\">c</span><span class=\"Normal-English\">}}</span></div>\n<div class=\"Quest-copy-2\"><span class=\"Normal-English\"><img alt=\"\" class=\"_idGenObjectAttribute-84\" src=\"Chapter1/123.png\"/></span></div>",
          "type": "MCQ",
          "type_uncertain": false,
          "options": {
            "A": "<span class=\"MCQ-Equation idf9ef215b7-ParaOverride-107\"><span class=\"Normal-English idf9ef215b7-CharOverride-74\"><img alt=\"\" class=\"_idGenObjectAttribute-46\" src=\"Chapter1/EQ-0712-103315.png\"/></span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "B": "<span class=\"MCQ-Equation idf9ef215b7-ParaOverride-107\"><span class=\"idf9ef215b7-CharOverride-58\"><img alt=\"\" class=\"_idGenObjectAttribute-63\" src=\"Chapter1/EQ-0712-103323.png\"/></span></span>",
            "C": "<span class=\"MCQ-Equation\"><span class=\"Normal-English\">{3}</span><span class=\"idf9ef215b7-CharOverride-58\"></span></span>",
            "D": "<span class=\"MCQ-Equation\"><span class=\"Normal-English idf9ef215b7-CharOverride-62\">φ</span></span>"
          },
          "correct_option": "B",
          "images": [
            {
              "id": "img-0",
              "path": "Chapter1/EQ-0712-103315.png",
              "position": "option:A",
              "context": "(A) (B)"
            },
            {
              "id": "img-1",
              "path": "Chapter1/EQ-0712-103323.png",
              "position": "option:A",
              "context": "(A) (B)"
            },
            {
              "id": "img-0",
              "path": "Chapter1/EQ-0712-103701.png",
              "position": "answer",
              "context": "="
            },
            {
              "id": "img-1",
              "path": "Chapter1/EQ-0712-103701.png",
              "position": "answer",
              "context": "="
            },
            {
              "id": "img-2",
              "path": "Chapter1/EQ-0712-103323.png",
              "position": "answer",
              "context": "∴ A ∩ B ="
            },
            {
              "id": "img-3",
              "path": "Chapter1/123.png",
              "position": "answer",
              "context": ""
            }
          ],
          "tables": [],
          "metadata": {
            "source_class": "Quest idf9ef215b7-ParaOverride-6",
            "source_number": "74",
            "original_raw_text": "\tòu\tA = {x | 3x2 – 7x – 6 = 0, x ∈ R} yLku \n B = {x | 6x2 – 5x – 6 = 0, x ∈ R} \n\tíkku A ∩ B = ______.",
            "marks": 1,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "answer_source": "paired_answer_list",
            "section": "Multiple Choice Questions (MCQs)",
            "section_id": "1.14"
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      ]
    },
    {
      "section_id": "",
      "section_title": "Hints & Solutions",
      "heading_text": "Hints & Solutions",
      "detected_type": "SUB",
      "match_confidence": 0.356,
      "questions": [
        {
          "sequence_no": 96,
          "question_text": "<div class=\"Quest\"><span class=\"idf9ef215b7-CharOverride-75\"> </span><span class=\"Normal-English idf9ef215b7-CharOverride-76\">(1 - B), (2 - C), (3 - A) </span></div>",
          "answer_text": "",
          "type": "SUB",
          "type_uncertain": false,
          "options": {},
          "correct_option": null,
          "images": [],
          "tables": [],
          "metadata": {
            "source_class": "Quest",
            "source_number": "29",
            "original_raw_text": " (1 - B), (2 - C), (3 - A) ",
            "marks": 0,
            "deduction_level": 0,
            "source_html": "Chapter1",
            "section": "Hints & Solutions",
            "section_id": "",
            "needs_review": true,
            "needs_layout_review": true,
            "layout_review_reason": "question body is a consolidated answer key (NUMBER.(LETTER) pairs) — parse it into a number→letter map, not a question",
            "needs_fragment_review": true,
            "fragment_review_reason": "stem is a bare phrase/equation fragment ('(1 - B), (2 - C), (3 - A)') with no answer — likely a leaked answer/derivation line",
            "missing_answer": true
          }
        }
      ]
    }
  ],
  "unassigned": [],
  "warnings": [
    "[vector-figure] rendered 0 group(s) as single images, 4 FAILED (left as-is)",
    "Removed noise images: 48 section banners, 10 marks/year/topic badges, 3 note/clarification/puzzle callouts",
    "Dropped running headers/banners from content: 8 repeating header pattern(s)",
    "[figure] 22 figure(s) detected in the source but NOT assigned to any question: 104.png, 124.png, 15.png, 24.png, 25.png, 26.png, 27.png, 35.png … — a figure was dropped (question OR answer side); do not publish until every figure is attached",
    "[section] index section 'સ્વાધ્યાય 1.1' (1.3) has no matching region in the chapter — verify its questions were captured",
    "[section] index section 'સ્વાધ્યાય 1.2' (1.4) has no matching region in the chapter — verify its questions were captured",
    "[section] index section 'સ્વાધ્યાય 1.3' (1.5) has no matching region in the chapter — verify its questions were captured",
    "[section] index section 'સ્વાધ્યાય 1.4' (1.6) has no matching region in the chapter — verify its questions were captured",
    "[section] index section 'સ્વાધ્યાય 1.5' (1.7) has no matching region in the chapter — verify its questions were captured",
    "[section] index section 'પાઠ્યપુસ્તકના પ્રકીર્ણ સ્વાધ્યાય' (1.9) has no matching region in the chapter — verify its questions were captured",
    "[section] index section 'મહત્ત્વના પ્રેક્ટિસ પ્રશ્નો' (1.10) has no matching region in the chapter — verify its questions were captured",
    "[section] index section 'NCERT Exemplar MCQs' (1.11) has no matching region in the chapter — verify its questions were captured",
    "[section] index section 'કેસસ્ટડી આધારિત પ્રશ્નોત્તર' (1.15) has no matching region in the chapter — verify its questions were captured",
    "[section] index section 'JEE-Mains પરીક્ષામાં પૂછાયેલા MCQs' (1.17) has no matching region in the chapter — verify its questions were captured",
    "[section] index section 'Booster MCQs' (1.18) has no matching region in the chapter — verify its questions were captured",
    "[section] parsed region 'Long Questions (પ્રશ્નોત્તર)' (19 q) did not reconcile to any index section — unexpected/unlabelled banner",
    "[section] parsed region 'Long Questions (પ્રશ્નોત્તર)' (11 q) did not reconcile to any index section — unexpected/unlabelled banner",
    "[section] parsed region 'Long Questions (પ્રશ્નોત્તર)' (1 q) did not reconcile to any index section — unexpected/unlabelled banner",
    "[section] parsed region 'Word Meanings (શબ્દાર્થ)' (1 q) did not reconcile to any index section — unexpected/unlabelled banner",
    "[section] parsed region 'Hints & Solutions' (1 q) did not reconcile to any index section — unexpected/unlabelled banner",
    "Q#57 (Multiple Choice Questions (MCQs)): [mcq-as-sub] question carries an option-marker run (A/B/C/D) but the answer has no per-part answers — options merged into the stem?",
    "Q#61 (MCQ): options + correct option not detected",
    "Q#62 (Multiple Choice Questions (MCQs)): [layout] question body is a consolidated answer key (NUMBER.(LETTER) pairs) — parse it into a number→letter map, not a question",
    "Q#62 (MCQ): options + correct option not detected",
    "Q#63 (Multiple Choice Questions (MCQs)): [layout] question body is a consolidated answer key (NUMBER.(LETTER) pairs) — parse it into a number→letter map, not a question",
    "Q#63 (MCQ): options + correct option not detected",
    "Q#64 (Multiple Choice Questions (MCQs)): [layout] question body is a consolidated answer key (NUMBER.(LETTER) pairs) — parse it into a number→letter map, not a question",
    "Q#64 (MCQ): options + correct option not detected",
    "Q#65 (Multiple Choice Questions (MCQs)): [layout] question body is a consolidated answer key (NUMBER.(LETTER) pairs) — parse it into a number→letter map, not a question",
    "Q#65 (MCQ): options + correct option not detected",
    "Q#73 (MCQ): options + correct option not detected",
    "Q#74 (Multiple Choice Questions (MCQs)): [layout] question body is a consolidated answer key (NUMBER.(LETTER) pairs) — parse it into a number→letter map, not a question",
    "Q#74 (MCQ): options + correct option not detected",
    "Q#75 (Multiple Choice Questions (MCQs)): [layout] question body is a consolidated answer key (NUMBER.(LETTER) pairs) — parse it into a number→letter map, not a question",
    "Q#75 (MCQ): options + correct option not detected",
    "Q#79 (Multiple Choice Questions (MCQs)): [layout] question body has 3 sequential numbered stems (42/43/44…) — a numbered run merged into one item; split per number",
    "Q#79 (Multiple Choice Questions (MCQs)): [leaked-figure] 10 consecutive 1–3-char lines in the question — a vector figure was shredded into text; review/re-render before publishing",
    "Q#84 (Multiple Choice Questions (MCQs)): [layout] question body has 10 sequential numbered stems (52/53/54/55/56/57…) — a numbered run merged into one item; split per number",
    "Q#96 (Hints & Solutions): [layout] question body is a consolidated answer key (NUMBER.(LETTER) pairs) — parse it into a number→letter map, not a question",
    "Q#96 (Hints & Solutions): [fragment] stem is a bare phrase/equation fragment ('(1 - B), (2 - C), (3 - A)') with no answer — likely a leaked answer/derivation line",
    "Q#96 (Hints & Solutions): no answer detected"
  ],
  "notes": "",
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{\n\t-epub-hyphens:none;\n\tcolor:#000000;\n\tfont-family:\"B Bharati TitleLightTwo\", sans-serif;\n\tfont-size:12px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\tline-height:1.3;\n\tlist-style-position:outside;\n\tmargin-bottom:0;\n\tmargin-left:48px;\n\tmargin-right:0;\n\tmargin-top:0;\n\torphans:1;\n\tpage-break-after:auto;\n\tpage-break-before:auto;\n\ttext-align:justify;\n\ttext-align-last:left;\n\ttext-decoration:none;\n\ttext-indent:0;\n\ttext-transform:none;\n\twidows:1;\n}\nli.Body-text-for-Q---A {\n\t-epub-hyphens:none;\n\tcolor:#000000;\n\tfont-family:\"B Bharati TitleLightTwo\", sans-serif;\n\tfont-size:12px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\tline-height:1.3;\n\tlist-style-position:outside;\n\tmargin-bottom:0;\n\tmargin-left:28px;\n\tmargin-right:0;\n\tmargin-top:0;\n\torphans:1;\n\tpage-break-after:auto;\n\tpage-break-before:auto;\n\ttext-align:justify;\n\ttext-align-last:left;\n\ttext-decoration:none;\n\ttext-indent:0;\n\ttext-transform:none;\n\twidows:1;\n}\np.Hedar {\n\t-epub-hyphens:none;\n\tcolor:#000000;\n\tfont-family:\"B Bharati TitleTwo\", sans-serif;\n\tfont-size:13px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\tline-height:1.3;\n\tmargin-bottom:3px;\n\tmargin-left:28px;\n\tmargin-right:0;\n\tmargin-top:3px;\n\torphans:1;\n\tpage-break-after:auto;\n\tpage-break-before:auto;\n\ttext-align:justify;\n\ttext-align-last:left;\n\ttext-decoration:none;\n\ttext-indent:-28px;\n\ttext-transform:none;\n\twidows:1;\n}\np.Inside-Text {\n\t-epub-hyphens:none;\n\tcolor:#000000;\n\tfont-family:\"Mukta Vaani Medium\", sans-serif;\n\tfont-size:11px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:500;\n\tline-height:1.3;\n\tlist-style-position:outside;\n\tmargin-bottom:0;\n\tmargin-left:14px;\n\tmargin-right:0;\n\tmargin-top:3px;\n\torphans:1;\n\tpage-break-after:auto;\n\tpage-break-before:auto;\n\ttext-align:left;\n\ttext-decoration:none;\n\ttext-indent:0;\n\ttext-transform:none;\n\twidows:1;\n}\np.MCQ-Equation {\n\t-epub-hyphens:none;\n\tcolor:#000000;\n\tfont-family:\"Times New Roman\", serif;\n\tfont-size:11px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\tline-height:1.3;\n\tmargin-bottom:0;\n\tmargin-left:28px;\n\tmargin-right:0;\n\tmargin-top:0;\n\torphans:1;\n\tpage-break-after:auto;\n\tpage-break-before:auto;\n\ttext-align:justify;\n\ttext-align-last:left;\n\ttext-decoration:none;\n\ttext-indent:-28px;\n\ttext-transform:none;\n\twidows:1;\n}\np.MCQ-Head {\n\t-epub-hyphens:none;\n\tcolor:#ec008c;\n\tfont-family:\"B Bharati TitleTwo\", sans-serif;\n\tfont-size:14px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\tline-height:1.3;\n\tmargin-bottom:3px;\n\tmargin-left:0;\n\tmargin-right:0;\n\tmargin-top:3px;\n\torphans:1;\n\tpage-break-after:auto;\n\tpage-break-before:auto;\n\ttext-align:left;\n\ttext-decoration:underline;\n\ttext-indent:0;\n\ttext-transform:none;\n\twidows:1;\n}\np.Normal {\n\t-epub-hyphens:none;\n\tcolor:#000000;\n\tfont-family:\"B Bharati TitleLightTwo\", sans-serif;\n\tfont-size:12px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\tline-height:1.3;\n\tmargin-bottom:0;\n\tmargin-left:28px;\n\tmargin-right:0;\n\tmargin-top:0;\n\torphans:1;\n\tpage-break-after:auto;\n\tpage-break-before:auto;\n\ttext-align:justify;\n\ttext-align-last:left;\n\ttext-decoration:none;\n\ttext-indent:-28px;\n\ttext-transform:none;\n\twidows:1;\n}\np.Normal-1 {\n\t-epub-hyphens:none;\n\tcolor:#000000;\n\tfont-family:\"B Bharati TitleLightTwo\", sans-serif;\n\tfont-size:12px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\tline-height:1.3;\n\tmargin-bottom:0;\n\tmargin-left:48px;\n\tmargin-right:0;\n\tmargin-top:0;\n\torphans:1;\n\tpage-break-after:auto;\n\tpage-break-before:auto;\n\ttext-align:justify;\n\ttext-align-last:left;\n\ttext-decoration:none;\n\ttext-indent:-48px;\n\ttext-transform:none;\n\twidows:1;\n}\np.Normal-copy {\n\t-epub-hyphens:none;\n\tcolor:#000000;\n\tfont-family:\"B Bharati TitleLightTwo\", sans-serif;\n\tfont-size:12px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\tline-height:1.3;\n\tmargin-bottom:0;\n\tmargin-left:28px;\n\tmargin-right:0;\n\tmargin-top:0;\n\torphans:1;\n\tpage-break-after:auto;\n\tpage-break-before:auto;\n\ttext-align:justify;\n\ttext-align-last:left;\n\ttext-decoration:none;\n\ttext-indent:-28px;\n\ttext-transform:none;\n\twidows:1;\n}\np.Basic-Paragraph {\n\tcolor:#000000;\n\tfont-family:\"Minion Pro\", serif;\n\tfont-size:12px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\tline-height:1.2;\n\tmargin-bottom:0;\n\tmargin-left:0;\n\tmargin-right:0;\n\tmargin-top:0;\n\torphans:1;\n\tpage-break-after:auto;\n\tpage-break-before:auto;\n\ttext-align:left;\n\ttext-decoration:none;\n\ttext-indent:0;\n\ttext-transform:none;\n\twidows:1;\n}\np.Quest {\n\t-epub-hyphens:none;\n\tcolor:#00aeef;\n\tfont-family:\"B Bharati TitleTwo\", sans-serif;\n\tfont-size:12px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\tline-height:1.3;\n\tmargin-bottom:3px;\n\tmargin-left:28px;\n\tmargin-right:0;\n\tmargin-top:4px;\n\torphans:1;\n\tpage-break-after:auto;\n\tpage-break-before:auto;\n\ttext-align:justify;\n\ttext-align-last:left;\n\ttext-decoration:none;\n\ttext-indent:-28px;\n\ttext-transform:none;\n\twidows:1;\n}\np.Quest-copy-2 {\n\t-epub-hyphens:none;\n\tcolor:#00aeef;\n\tfont-family:\"B Bharati TitleTwo\", sans-serif;\n\tfont-size:12px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\tline-height:1.3;\n\tmargin-bottom:3px;\n\tmargin-left:28px;\n\tmargin-right:0;\n\tmargin-top:9px;\n\torphans:1;\n\tpage-break-after:auto;\n\tpage-break-before:auto;\n\ttext-align:justify;\n\ttext-align-last:left;\n\ttext-decoration:none;\n\ttext-indent:-28px;\n\ttext-transform:none;\n\twidows:1;\n}\np.Question_S1-to-S4_Questions_S1 {\n\t-epub-hyphens:none;\n\tcolor:#00aeef;\n\tfont-family:\"B Bharati AlokTwo\", sans-serif;\n\tfont-size:12px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\tline-height:1.25;\n\tmargin-bottom:0;\n\tmargin-left:23px;\n\tmargin-right:0;\n\tmargin-top:6px;\n\torphans:1;\n\tpage-break-after:auto;\n\tpage-break-before:auto;\n\ttext-align:justify;\n\ttext-align-last:left;\n\ttext-decoration:none;\n\ttext-indent:-23px;\n\ttext-transform:none;\n\twidows:1;\n}\np.Question_S2-to-S4_Que_Casestudy_01 {\n\t-epub-hyphens:none;\n\tcolor:#000000;\n\tfont-family:\"B Bharati TitleLightTwo\", sans-serif;\n\tfont-size:12px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\tline-height:1.25;\n\tmargin-bottom:0;\n\tmargin-left:23px;\n\tmargin-right:0;\n\tmargin-top:6px;\n\torphans:1;\n\tpage-break-after:auto;\n\tpage-break-before:auto;\n\ttext-align:justify;\n\ttext-align-last:left;\n\ttext-decoration:none;\n\ttext-indent:-23px;\n\ttext-transform:none;\n\twidows:1;\n}\nli.Sub-head {\n\t-epub-hyphens:none;\n\tcolor:#ec008c;\n\tfont-family:\"B Bharati TitleTwo\", sans-serif;\n\tfont-size:13px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\tline-height:1.5;\n\tlist-style-position:outside;\n\tmargin-bottom:0;\n\tmargin-left:28px;\n\tmargin-right:0;\n\tmargin-top:6px;\n\torphans:1;\n\tpage-break-after:auto;\n\tpage-break-before:auto;\n\ttext-align:justify;\n\ttext-align-last:left;\n\ttext-decoration:none;\n\ttext-indent:0;\n\ttext-transform:none;\n\twidows:1;\n}\np.Summary-Style_Main-Heading {\n\tcolor:#000000;\n\tfont-family:\"Rasa Bold\", sans-serif;\n\tfont-size:26px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\tline-height:1.2;\n\tmargin-bottom:0;\n\tmargin-left:0;\n\tmargin-right:0;\n\tmargin-top:0;\n\torphans:1;\n\tpage-break-after:auto;\n\tpage-break-before:auto;\n\ttext-align:left;\n\ttext-decoration:none;\n\ttext-indent:0;\n\ttext-transform:none;\n\twidows:1;\n}\np.Summary-Style_Normal {\n\t-epub-hyphens:none;\n\tcolor:#000000;\n\tfont-family:\"B Bharati TitleLightTwo\", sans-serif;\n\tfont-size:12px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\tline-height:1.25;\n\tmargin-bottom:0;\n\tmargin-left:0;\n\tmargin-right:0;\n\tmargin-top:0;\n\torphans:1;\n\tpage-break-after:auto;\n\tpage-break-before:auto;\n\ttext-align:justify;\n\ttext-align-last:left;\n\ttext-decoration:none;\n\ttext-indent:0;\n\ttext-transform:none;\n\twidows:1;\n}\nli.Summary_Style {\n\t-epub-hyphens:none;\n\tcolor:#000000;\n\tfont-family:\"B Bharati TitleLightTwo\", sans-serif;\n\tfont-size:12px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\tline-height:1.3;\n\tlist-style-position:outside;\n\tmargin-bottom:0;\n\tmargin-left:28px;\n\tmargin-right:0;\n\tmargin-top:0;\n\torphans:1;\n\tpage-break-after:auto;\n\tpage-break-before:auto;\n\ttext-align:justify;\n\ttext-align-last:left;\n\ttext-decoration:none;\n\ttext-indent:0;\n\ttext-transform:none;\n\twidows:1;\n}\nspan.Biology-Character-Style-1_CaseStudy-Number {\n\tcolor:#ec008c;\n\tfont-family:\"Myriad Pro\", sans-serif;\n\tfont-size:11px;\n\tfont-style:normal;\n\tfont-weight:bold;\n}\nspan.Biology-Character-Style-1_Character-Style-5 {\n\tcolor:#6dcff6;\n\tfont-family:\"B Bharati TitleTwo\", sans-serif;\n\tfont-size:11px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\ttext-transform:none;\n}\nspan.Biology-Character-Style-1_English {\n\tfont-family:\"Times New Roman\", serif;\n\tfont-size:10px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.Biology-Character-Style-1_Myriad-Pro {\n\tfont-family:\"Myriad Pro\", sans-serif;\n\tfont-size:10px;\n\tfont-style:normal;\n\tfont-weight:bold;\n}\nspan.Biology-Character-Style-1_Title-Two {\n\tcolor:#000000;\n\tfont-family:\"B Bharati TitleTwo\", sans-serif;\n\tfont-size:12px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.Bullet-1 {\n\tcolor:#7670b3;\n\tfont-size:9px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.Bullet-2 {\n\tcolor:#f173ac;\n\tfont-size:9px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.Character-Style-13 {\n\tfont-family:\"B Bharati TitleLightTwo\", sans-serif;\n\tfont-size:11px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\ttext-transform:none;\n}\nspan.Character-Style-2 {\n\tcolor:#808285;\n\tfont-family:Calibri, sans-serif;\n\tfont-size:11px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:bold;\n\ttext-transform:none;\n}\nspan.English-bold {\n\tfont-family:Calibri, sans-serif;\n\tfont-size:12px;\n\tfont-style:normal;\n\tfont-weight:bold;\n}\nspan.Maths-Character-Style-1_Enlighs-Bold {\n\tfont-family:\"Times New Roman\", serif;\n\tfont-size:10px;\n\tfont-style:normal;\n\tfont-weight:bold;\n}\nspan.Maths-Character-Style-1_Myriad-Pro {\n\tfont-family:\"Myriad Pro\", sans-serif;\n\tfont-size:10px;\n\tfont-style:normal;\n\tfont-weight:bold;\n}\nspan.Maths-Character-Style-1_Title-Two {\n\tcolor:#000000;\n\tfont-family:\"B Bharati TitleTwo\", sans-serif;\n\tfont-size:12px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.Normal-English {\n\tfont-family:\"Times New Roman\", serif;\n\tfont-size:10px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\ttext-transform:none;\n}\nspan.Normal-English-Bold {\n\tfont-family:\"Times New Roman\", serif;\n\tfont-size:10px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:bold;\n\ttext-transform:none;\n}\nspan.Physics-Character-Style-1_Alok-Two {\n\tcolor:#000000;\n\tfont-family:\"B Bharati AlokTwo\", sans-serif;\n\tfont-size:12px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.Physics-Character-Style-1_Ques-Number {\n\tcolor:#ec008c;\n\tfont-family:\"Myriad Pro\", sans-serif;\n\tfont-size:11px;\n\tfont-style:normal;\n\tfont-weight:bold;\n}\nspan.Physics-Character-Style-1_Title-Two {\n\tcolor:#000000;\n\tfont-family:\"B Bharati TitleTwo\", sans-serif;\n\tfont-size:12px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.Times-English----kT {\n\tfont-family:\"Times New Roman\", serif;\n\tfont-size:10px;\n\tfont-style:normal;\n\tfont-weight:bold;\n}\nspan.Title-Two {\n\tcolor:#000000;\n\tfont-family:\"B Bharati TitleTwo\", sans-serif;\n\tfont-size:12px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\ntable.TableOverride-1 {\n\tborder-collapse:collapse;\n\tmargin-left:auto;\n\tmargin-right:auto;\n}\ntable.TableOverride-2 {\n\tborder-collapse:collapse;\n}\ntable.TableOverride-3 {\n\tborder-collapse:collapse;\n\tmargin-left:28px;\n}\ntable.TableOverride-4 {\n\tborder-collapse:collapse;\n\tborder-color:#00aeef;\n\tmargin-left:28px;\n}\ntd.CellOverride-1 {\n\tbackground-color:#eeedf5;\n\tborder-bottom-color:#9b9bc5;\n\tborder-bottom-style:solid;\n\tborder-bottom-width:1px;\n\tborder-left-color:#9b9bc5;\n\tborder-left-style:solid;\n\tborder-left-width:1px;\n\tborder-right-color:#9b9bc5;\n\tborder-right-style:solid;\n\tborder-right-width:1px;\n\tborder-top-color:#9b9bc5;\n\tborder-top-style:solid;\n\tborder-top-width:1px;\n\tpadding-bottom:7px;\n\tpadding-top:7px;\n}\ntd.CellOverride-2 {\n\tborder-bottom-color:#00aeef;\n\tborder-bottom-style:solid;\n\tborder-bottom-width:1px;\n\tborder-left-color:#00aeef;\n\tborder-left-style:solid;\n\tborder-left-width:1px;\n\tborder-right-color:#00aeef;\n\tborder-right-style:solid;\n\tborder-right-width:1px;\n\tborder-top-color:#00aeef;\n\tborder-top-style:solid;\n\tborder-top-width:1px;\n\tpadding-bottom:6px;\n\tpadding-top:5px;\n}\ntd.CellOverride-3 {\n\tborder-bottom-color:#00aeef;\n\tborder-bottom-style:solid;\n\tborder-bottom-width:1px;\n\tborder-left-color:#00aeef;\n\tborder-left-style:solid;\n\tborder-left-width:1px;\n\tborder-right-color:#00aeef;\n\tborder-right-style:solid;\n\tborder-right-width:1px;\n\tborder-top-color:#00aeef;\n\tborder-top-style:solid;\n\tborder-top-width:1px;\n\tpadding-bottom:6px;\n\tpadding-left:6px;\n\tpadding-right:6px;\n\tpadding-top:5px;\n}\ntd.CellOverride-4 {\n\tborder-bottom-color:#00aeef;\n\tborder-bottom-style:solid;\n\tborder-bottom-width:1px;\n\tborder-left-color:#00aeef;\n\tborder-left-style:solid;\n\tborder-left-width:1px;\n\tborder-right-color:#00aeef;\n\tborder-right-style:solid;\n\tborder-right-width:1px;\n\tborder-top-color:#00aeef;\n\tborder-top-style:solid;\n\tborder-top-width:1px;\n\tpadding-bottom:7px;\n\tpadding-left:3px;\n\tpadding-right:3px;\n\tpadding-top:7px;\n}\ntd.CellOverride-5 {\n\tborder-bottom-color:#00aeef;\n\tborder-bottom-style:solid;\n\tborder-bottom-width:1px;\n\tborder-left-color:#00aeef;\n\tborder-left-style:solid;\n\tborder-left-width:1px;\n\tborder-right-color:#00aeef;\n\tborder-right-style:solid;\n\tborder-right-width:1px;\n\tborder-top-color:#00aeef;\n\tborder-top-style:solid;\n\tborder-top-width:1px;\n\tpadding-bottom:7px;\n\tpadding-left:3px;\n\tpadding-right:3px;\n\tpadding-top:7px;\n\tvertical-align:top;\n}\ntd.CellOverride-6 {\n\tbackground-color:#ffffff;\n\tborder-bottom-color:#939598;\n\tborder-bottom-style:solid;\n\tborder-bottom-width:1px;\n\tborder-left-color:#939598;\n\tborder-left-style:solid;\n\tborder-left-width:1px;\n\tborder-right-color:#939598;\n\tborder-right-style:solid;\n\tborder-right-width:1px;\n\tborder-top-color:#939598;\n\tborder-top-style:solid;\n\tborder-top-width:1px;\n\tpadding-bottom:7px;\n\tpadding-left:9px;\n\tpadding-top:7px;\n\tvertical-align:middle;\n}\ntd.CellOverride-7 {\n\tborder-bottom-color:#00aeef;\n\tborder-bottom-style:solid;\n\tborder-bottom-width:1px;\n\tborder-left-color:#00aeef;\n\tborder-left-style:solid;\n\tborder-left-width:1px;\n\tborder-right-color:#00aeef;\n\tborder-right-style:solid;\n\tborder-right-width:1px;\n\tborder-top-color:#00aeef;\n\tborder-top-style:solid;\n\tborder-top-width:1px;\n\tpadding-bottom:4px;\n\tpadding-left:4px;\n\tpadding-right:4px;\n\tpadding-top:4px;\n}\ntd.CellOverride-8 {\n\tborder-bottom-color:#00aeef;\n\tborder-bottom-style:solid;\n\tborder-bottom-width:1px;\n\tborder-left-color:#00aeef;\n\tborder-left-style:solid;\n\tborder-left-width:1px;\n\tborder-right-color:#00aeef;\n\tborder-right-style:solid;\n\tborder-right-width:1px;\n\tborder-top-color:#00aeef;\n\tborder-top-style:solid;\n\tborder-top-width:1px;\n\tpadding-bottom:4px;\n\tpadding-left:4px;\n\tpadding-right:4px;\n\tpadding-top:4px;\n\tvertical-align:top;\n}\ntd.CellOverride-9 {\n\tborder-bottom-color:#00aeef;\n\tborder-bottom-style:solid;\n\tborder-bottom-width:1px;\n\tborder-left-color:#00aeef;\n\tborder-left-style:solid;\n\tborder-left-width:1px;\n\tborder-right-color:#00aeef;\n\tborder-right-style:solid;\n\tborder-right-width:1px;\n\tborder-top-color:#00aeef;\n\tborder-top-style:solid;\n\tborder-top-width:1px;\n\tpadding-bottom:4px;\n\tpadding-top:4px;\n}\ntd.CellOverride-10 {\n\tborder-bottom-color:#00aeef;\n\tborder-bottom-style:solid;\n\tborder-bottom-width:1px;\n\tborder-left-color:#00aeef;\n\tborder-left-style:solid;\n\tborder-left-width:1px;\n\tborder-right-color:#00aeef;\n\tborder-right-style:solid;\n\tborder-right-width:1px;\n\tborder-top-color:#00aeef;\n\tborder-top-style:solid;\n\tborder-top-width:1px;\n}\ntd.CellOverride-11 {\n\tborder-bottom-color:#ec008c;\n\tborder-bottom-style:solid;\n\tborder-bottom-width:1px;\n\tborder-left-color:#ec008c;\n\tborder-left-style:solid;\n\tborder-left-width:1px;\n\tborder-right-color:#ec008c;\n\tborder-right-style:solid;\n\tborder-right-width:1px;\n\tborder-top-color:#ec008c;\n\tborder-top-style:solid;\n\tborder-top-width:1px;\n\tpadding-bottom:3px;\n\tpadding-top:3px;\n}\nli.idf9ef215b7-ParaOverride-1 {\n\ttext-indent:0px;\n}\nli.idf9ef215b7-ParaOverride-2 {\n\tmargin-left:20px;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-3 {\n\ttext-align:center;\n}\np.idf9ef215b7-ParaOverride-4 {\n\tmargin-left:20px;\n}\np.idf9ef215b7-ParaOverride-5 {\n\tmargin-top:0px;\n}\np.idf9ef215b7-ParaOverride-6 {\n\tmargin-bottom:0px;\n}\nli.idf9ef215b7-ParaOverride-7 {\n\tmargin-top:6px;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-8 {\n\tmargin-top:3px;\n}\np.idf9ef215b7-ParaOverride-9 {\n\tmargin-bottom:3px;\n\tmargin-left:0px;\n\tmargin-top:3px;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-10 {\n\tmargin-left:0px;\n\ttext-align:center;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-11, li.idf9ef215b7-ParaOverride-11 {\n\tmargin-left:0px;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-12 {\n\tmargin-bottom:0px;\n\tmargin-left:0px;\n\tmargin-top:0px;\n\ttext-align:center;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-13 {\n\tmargin-left:0px;\n\ttext-align:left;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-14 {\n\tmargin-bottom:0px;\n\tmargin-left:0px;\n\tmargin-top:0px;\n\ttext-align:left;\n\ttext-indent:0px;\n}\nli.idf9ef215b7-ParaOverride-15 {\n\tmargin-top:3px;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-16 {\n\tmargin-top:1px;\n}\np.idf9ef215b7-ParaOverride-17 {\n\tmargin-top:6px;\n\ttext-align:center;\n}\nli.idf9ef215b7-ParaOverride-18 {\n\tmargin-bottom:3px;\n\tmargin-top:6px;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-19 {\n\tmargin-bottom:0px;\n\tmargin-left:0px;\n\tmargin-top:0px;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-20 {\n\tmargin-bottom:0px;\n\tmargin-top:6px;\n}\np.idf9ef215b7-ParaOverride-21 {\n\tmargin-bottom:0px;\n\tmargin-top:0px;\n}\np.idf9ef215b7-ParaOverride-22 {\n\tmargin-bottom:0px;\n\tmargin-left:50px;\n\tmargin-top:0px;\n\ttext-indent:-50px;\n}\np.idf9ef215b7-ParaOverride-23 {\n\tmargin-left:50px;\n\tmargin-top:0px;\n\ttext-indent:-50px;\n}\np.idf9ef215b7-ParaOverride-24 {\n\tmargin-top:6px;\n}\nli.idf9ef215b7-ParaOverride-25 {\n\tmargin-top:0px;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-26 {\n\tmargin-bottom:6px;\n\tmargin-top:6px;\n\ttext-align:right;\n}\np.idf9ef215b7-ParaOverride-27 {\n\tmargin-bottom:6px;\n\tmargin-left:0px;\n\tmargin-top:6px;\n\ttext-align:center;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-28 {\n\tmargin-left:40px;\n\ttext-indent:-40px;\n}\np.idf9ef215b7-ParaOverride-29 {\n\tmargin-bottom:3px;\n\tmargin-top:6px;\n}\np.idf9ef215b7-ParaOverride-30 {\n\tmargin-bottom:6px;\n\tmargin-top:6px;\n\ttext-align:center;\n}\np.idf9ef215b7-ParaOverride-31 {\n\tmargin-bottom:3px;\n\tmargin-top:3px;\n}\np.idf9ef215b7-ParaOverride-32 {\n\tmargin-bottom:6px;\n\tmargin-top:6px;\n}\np.idf9ef215b7-ParaOverride-33 {\n\ttext-align:right;\n}\np.idf9ef215b7-ParaOverride-34 {\n\tmargin-left:0px;\n}\nli.idf9ef215b7-ParaOverride-35 {\n\tmargin-left:28px;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-36 {\n\tmargin-left:0px;\n\tmargin-top:6px;\n}\np.idf9ef215b7-ParaOverride-37 {\n\tmargin-left:0px;\n\ttext-align:center;\n}\np.idf9ef215b7-ParaOverride-38 {\n\tmargin-left:0px;\n\tmargin-top:0px;\n}\np.idf9ef215b7-ParaOverride-39 {\n\tmargin-left:0px;\n\ttext-align:right;\n}\np.idf9ef215b7-ParaOverride-40 {\n\tmargin-bottom:0px;\n\tmargin-left:0px;\n}\np.idf9ef215b7-ParaOverride-41 {\n\tmargin-bottom:0px;\n\tmargin-left:0px;\n\tmargin-top:0px;\n}\np.idf9ef215b7-ParaOverride-42 {\n\tmargin-bottom:3px;\n\tmargin-left:0px;\n\tmargin-top:3px;\n\ttext-align:center;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-43 {\n\tmargin-bottom:3px;\n}\nli.idf9ef215b7-ParaOverride-44 {\n\tmargin-left:67px;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-45 {\n\tmargin-left:67px;\n\ttext-indent:-67px;\n}\np.idf9ef215b7-ParaOverride-46 {\n\tmargin-bottom:6px;\n}\nli.idf9ef215b7-ParaOverride-47 {\n\ttext-align:right;\n\ttext-indent:0px;\n}\nli.idf9ef215b7-ParaOverride-48 {\n\tmargin-left:48px;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-49 {\n\tmargin-left:48px;\n\ttext-indent:-48px;\n}\np.idf9ef215b7-ParaOverride-50 {\n\tmargin-left:65px;\n\ttext-indent:-65px;\n}\np.idf9ef215b7-ParaOverride-51 {\n\tmargin-bottom:0px;\n\tmargin-top:0px;\n\ttext-align:right;\n}\np.idf9ef215b7-ParaOverride-52 {\n\tmargin-left:15px;\n\ttext-indent:-42px;\n}\nli.idf9ef215b7-ParaOverride-53 {\n\tmargin-left:46px;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-54 {\n\tmargin-left:46px;\n\ttext-indent:-46px;\n}\nli.idf9ef215b7-ParaOverride-55 {\n\tmargin-bottom:3px;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-56 {\n\tmargin-left:0px;\n\ttext-align:right;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-57 {\n\tlist-style-position:outside;\n\tlist-style-type:none;\n\tmargin-left:43px;\n\ttext-indent:-43px;\n}\np.idf9ef215b7-ParaOverride-58 {\n\tlist-style-position:outside;\n\tlist-style-type:none;\n\tmargin-left:18px;\n\ttext-indent:-18px;\n}\np.idf9ef215b7-ParaOverride-59 {\n\tmargin-left:63px;\n\ttext-indent:-63px;\n}\np.idf9ef215b7-ParaOverride-60 {\n\tmargin-left:44px;\n\ttext-indent:-44px;\n}\np.idf9ef215b7-ParaOverride-61 {\n\tmargin-left:54px;\n\ttext-indent:-54px;\n}\np.idf9ef215b7-ParaOverride-62 {\n\tmargin-bottom:1px;\n\tmargin-top:3px;\n}\np.idf9ef215b7-ParaOverride-63 {\n\tmargin-bottom:0px;\n\tmargin-top:3px;\n}\np.idf9ef215b7-ParaOverride-64 {\n\tmargin-right:4px;\n}\np.idf9ef215b7-ParaOverride-65 {\n\tmargin-left:20px;\n\tmargin-top:6px;\n\ttext-indent:-20px;\n}\np.idf9ef215b7-ParaOverride-66 {\n\tmargin-left:20px;\n\ttext-indent:-20px;\n}\np.idf9ef215b7-ParaOverride-67 {\n\tmargin-left:20px;\n\tmargin-top:3px;\n\ttext-indent:-20px;\n}\np.idf9ef215b7-ParaOverride-68 {\n\tmargin-left:20px;\n\ttext-align:right;\n\ttext-indent:-20px;\n}\np.idf9ef215b7-ParaOverride-69 {\n\tmargin-bottom:1px;\n\tmargin-left:20px;\n\tmargin-top:3px;\n\ttext-indent:-20px;\n}\np.idf9ef215b7-ParaOverride-70 {\n\tmargin-bottom:3px;\n\tmargin-left:20px;\n\tmargin-top:3px;\n\ttext-align:right;\n\ttext-indent:-20px;\n}\np.idf9ef215b7-ParaOverride-71 {\n\tmargin-left:40px;\n\tmargin-top:6px;\n\ttext-indent:-40px;\n}\np.idf9ef215b7-ParaOverride-72 {\n\tmargin-left:0px;\n\tmargin-right:0px;\n}\nli.idf9ef215b7-ParaOverride-73 {\n\tmargin-bottom:6px;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-74 {\n\tmargin-bottom:1px;\n}\nli.idf9ef215b7-ParaOverride-75 {\n\tmargin-left:20px;\n\ttext-align:right;\n\ttext-indent:0px;\n}\nli.idf9ef215b7-ParaOverride-76 {\n\tmargin-bottom:74px;\n\tmargin-top:3px;\n\ttext-indent:0px;\n}\nli.idf9ef215b7-ParaOverride-77 {\n\tmargin-bottom:62px;\n\ttext-indent:0px;\n}\nli.idf9ef215b7-ParaOverride-78 {\n\tmargin-top:1px;\n\ttext-indent:0px;\n}\nli.idf9ef215b7-ParaOverride-79 {\n\tmargin-bottom:96px;\n\ttext-indent:0px;\n}\nli.idf9ef215b7-ParaOverride-80 {\n\tmargin-bottom:6px;\n\tmargin-top:3px;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-81 {\n\tmargin-bottom:9px;\n\tmargin-top:6px;\n}\np.idf9ef215b7-ParaOverride-82 {\n\tmargin-bottom:9px;\n\tmargin-top:3px;\n}\np.idf9ef215b7-ParaOverride-83 {\n\tmargin-left:48px;\n\tmargin-top:0px;\n\ttext-indent:-48px;\n}\np.idf9ef215b7-ParaOverride-84 {\n\tmargin-top:3px;\n\ttext-align:center;\n}\nli.idf9ef215b7-ParaOverride-85 {\n\tmargin-left:23px;\n\ttext-indent:0px;\n}\nli.idf9ef215b7-ParaOverride-86 {\n\tmargin-left:51px;\n\ttext-indent:0px;\n}\nli.idf9ef215b7-ParaOverride-87 {\n\tmargin-bottom:6px;\n\tmargin-top:6px;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-88 {\n\tmargin-bottom:3px;\n\tmargin-top:3px;\n\ttext-align:center;\n}\np.idf9ef215b7-ParaOverride-89 {\n\tmargin-bottom:0px;\n\tmargin-left:48px;\n\tmargin-top:0px;\n\ttext-indent:-48px;\n}\np.idf9ef215b7-ParaOverride-90 {\n\tmargin-left:23px;\n\ttext-indent:-51px;\n}\nli.idf9ef215b7-ParaOverride-91 {\n\tmargin-bottom:4px;\n\ttext-indent:0px;\n}\nli.idf9ef215b7-ParaOverride-92 {\n\tmargin-left:48px;\n\tmargin-top:6px;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-93 {\n\tmargin-left:48px;\n\ttext-align:right;\n\ttext-indent:-48px;\n}\np.idf9ef215b7-ParaOverride-94 {\n\tmargin-left:28px;\n\ttext-indent:-28px;\n}\nli.idf9ef215b7-ParaOverride-95 {\n\tmargin-bottom:51px;\n\tmargin-top:6px;\n\ttext-indent:0px;\n}\nli.idf9ef215b7-ParaOverride-96 {\n\tmargin-bottom:43px;\n\tmargin-top:6px;\n\ttext-indent:0px;\n}\nli.idf9ef215b7-ParaOverride-97 {\n\tmargin-bottom:45px;\n\tmargin-top:6px;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-98 {\n\tmargin-left:18px;\n\ttext-indent:-46px;\n}\nli.idf9ef215b7-ParaOverride-99 {\n\tmargin-bottom:1px;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-100 {\n\tmargin-left:18px;\n\ttext-indent:-18px;\n}\np.idf9ef215b7-ParaOverride-101 {\n\tmargin-bottom:0px;\n\tmargin-left:50px;\n\ttext-indent:-50px;\n}\np.idf9ef215b7-ParaOverride-102 {\n\ttext-align:left;\n}\np.idf9ef215b7-ParaOverride-103 {\n\tmargin-bottom:0px;\n\tmargin-top:0px;\n\ttext-align:center;\n}\np.idf9ef215b7-ParaOverride-104 {\n\tmargin-bottom:20px;\n\tmargin-top:6px;\n}\np.idf9ef215b7-ParaOverride-105 {\n\tmargin-bottom:34px;\n\tmargin-top:23px;\n}\np.idf9ef215b7-ParaOverride-106 {\n\tmargin-bottom:31px;\n\tmargin-top:43px;\n}\np.idf9ef215b7-ParaOverride-107 {\n\tmargin-bottom:6px;\n\tmargin-top:3px;\n}\np.idf9ef215b7-ParaOverride-108 {\n\tmargin-left:48px;\n\ttext-align:center;\n\ttext-indent:-48px;\n}\np.idf9ef215b7-ParaOverride-109 {\n\tmargin-left:43px;\n\ttext-indent:-42px;\n}\np.idf9ef215b7-ParaOverride-110 {\n\tmargin-bottom:3px;\n\ttext-align:right;\n}\np.idf9ef215b7-ParaOverride-111 {\n\tmargin-bottom:7px;\n}\np.idf9ef215b7-ParaOverride-112 {\n\tmargin-bottom:4px;\n}\np.idf9ef215b7-ParaOverride-113 {\n\tmargin-bottom:9px;\n}\np.idf9ef215b7-ParaOverride-114 {\n\tmargin-left:45px;\n\ttext-indent:-45px;\n}\np.idf9ef215b7-ParaOverride-115 {\n\tmargin-bottom:9px;\n\tmargin-left:45px;\n\ttext-indent:-45px;\n}\np.idf9ef215b7-ParaOverride-116 {\n\tmargin-bottom:1px;\n\tmargin-top:1px;\n}\np.idf9ef215b7-ParaOverride-117 {\n\tmargin-top:3px;\n\ttext-align:right;\n}\np.idf9ef215b7-ParaOverride-118 {\n\tmargin-left:0px;\n\tmargin-top:6px;\n\ttext-align:center;\n\ttext-indent:0px;\n}\np.idf9ef215b7-ParaOverride-119 {\n\tmargin-bottom:3px;\n\tmargin-left:28px;\n\ttext-indent:-28px;\n}\np.idf9ef215b7-ParaOverride-120 {\n\tmargin-bottom:3px;\n\tmargin-left:28px;\n\tmargin-top:3px;\n\ttext-indent:-28px;\n}\np.idf9ef215b7-ParaOverride-121 {\n\tmargin-bottom:3px;\n\tmargin-left:28px;\n\tmargin-top:0px;\n\ttext-indent:-28px;\n}\np.idf9ef215b7-ParaOverride-122 {\n\tmargin-bottom:1px;\n\tmargin-left:28px;\n\tmargin-top:3px;\n\ttext-indent:-28px;\n}\np.idf9ef215b7-ParaOverride-123 {\n\tmargin-left:16px;\n\tmargin-right:4px;\n}\np.idf9ef215b7-ParaOverride-124 {\n\tmargin-left:11px;\n\ttext-indent:-11px;\n}\np.idf9ef215b7-ParaOverride-125 {\n\tmargin-left:11px;\n\tmargin-top:3px;\n\ttext-align:center;\n\ttext-indent:-11px;\n}\np.idf9ef215b7-ParaOverride-126 {\n\tmargin-left:20px;\n\ttext-align:center;\n\ttext-indent:-20px;\n}\np.idf9ef215b7-ParaOverride-127 {\n\tmargin-bottom:7px;\n\tmargin-left:88px;\n}\np.idf9ef215b7-ParaOverride-128 {\n\tmargin-bottom:4px;\n\tmargin-left:88px;\n}\np.idf9ef215b7-ParaOverride-129 {\n\tmargin-left:88px;\n}\nspan.idf9ef215b7-CharOverride-1 {\n\tfont-style:italic;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-2 {\n\tfont-family:Symbol, sans-serif;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-3 {\n\tfont-family:\"B Bharati TitleTwo\", sans-serif;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-4 {\n\tfont-style:normal;\n\tfont-weight:bold;\n}\nspan.idf9ef215b7-CharOverride-5 {\n\tfont-size:7px;\n\tfont-style:normal;\n\tfont-weight:bold;\n\tvertical-align:super;\n}\nspan.idf9ef215b7-CharOverride-6 {\n\tfont-size:12px;\n}\nspan.idf9ef215b7-CharOverride-7 {\n\tcolor:#ec008c;\n\tfont-family:\"Myriad Pro\", sans-serif;\n\tfont-size:11px;\n\tfont-style:normal;\n\tfont-weight:bold;\n}\nspan.idf9ef215b7-CharOverride-8 {\n\tfont-style:italic;\n\tfont-weight:bold;\n}\nspan.idf9ef215b7-CharOverride-9 {\n\tfont-size:7px;\n\tvertical-align:super;\n}\nspan.idf9ef215b7-CharOverride-10 {\n\ttext-decoration:underline;\n}\nspan.idf9ef215b7-CharOverride-11 {\n\tcolor:#ec008c;\n\tfont-family:\"B Bharati TitleTwo\", sans-serif;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-12 {\n\tfont-family:Symbol, sans-serif;\n\tfont-style:normal;\n\tfont-weight:normal;\n\ttext-decoration:underline;\n}\nspan.idf9ef215b7-CharOverride-13 {\n\tfont-size:7px;\n\tfont-style:italic;\n\tfont-weight:normal;\n\tvertical-align:super;\n}\nspan.idf9ef215b7-CharOverride-14 {\n\tfont-style:italic;\n\tfont-weight:normal;\n\ttext-decoration:underline;\n}\nspan.idf9ef215b7-CharOverride-15 {\n\tcolor:#ec008c;\n}\nspan.idf9ef215b7-CharOverride-16 {\n\tfont-family:\"B Bharati TitleLightTwo\", sans-serif;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-17 {\n\tfont-family:\"MT Extra Tiger\", sans-serif;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-18 {\n\tfont-size:10px;\n}\nspan.idf9ef215b7-CharOverride-19 {\n\tfont-family:Symbol, sans-serif;\n\tfont-size:10px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-20 {\n\tfont-size:10px;\n\tfont-style:italic;\n\tfont-weight:bold;\n}\nspan.idf9ef215b7-CharOverride-21 {\n\tfont-size:10px;\n\tfont-style:italic;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-22 {\n\tfont-family:\"MT Extra\", sans-serif;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-23 {\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-24 {\n\tcolor:#ffffff;\n\tfont-family:\"Myriad Pro\", sans-serif;\n\tfont-size:40px;\n\tfont-style:normal;\n\tfont-weight:bold;\n}\nspan.idf9ef215b7-CharOverride-25 {\n\tfont-family:\"B Bharati AlokTwo\", sans-serif;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-26 {\n\tcolor:#3e7699;\n\tfont-size:14px;\n}\nspan.idf9ef215b7-CharOverride-27 {\n\tcolor:#00aeef;\n\tfont-family:Dixieland, sans-serif;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-28 {\n\tcolor:#ec008c;\n\tfont-style:normal;\n\tfont-weight:bold;\n}\nspan.idf9ef215b7-CharOverride-29 {\n\tcolor:#00aeef;\n\tfont-family:Webdings, sans-serif;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-30 {\n\tfont-family:\"B Bharati TitleTwo\", sans-serif;\n\tfont-size:18px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-31 {\n\tfont-size:14px;\n}\nspan.idf9ef215b7-CharOverride-32 {\n\tfont-size:18px;\n}\nspan.idf9ef215b7-CharOverride-33 {\n\tfont-size:22px;\n}\nspan.idf9ef215b7-CharOverride-34 {\n\tfont-family:Symbol, sans-serif;\n\tfont-size:22px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-35 {\n\tfont-size:15px;\n}\nspan.idf9ef215b7-CharOverride-36 {\n\tfont-family:Symbol, sans-serif;\n\tfont-size:15px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-37 {\n\tfont-size:19px;\n}\nspan.idf9ef215b7-CharOverride-38 {\n\tfont-family:Symbol, sans-serif;\n\tfont-size:19px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-39 {\n\tcolor:#00aeef;\n\tfont-family:\"B Bharati TitleTwo\", sans-serif;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-40 {\n\tfont-size:7px;\n\tfont-style:normal;\n\tfont-weight:normal;\n\tvertical-align:super;\n}\nspan.idf9ef215b7-CharOverride-41 {\n\tcolor:#000000;\n\tfont-family:\"B Bharati TitleLightTwo\", sans-serif;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-42 {\n\tcolor:#ffffff;\n}\nspan.idf9ef215b7-CharOverride-43 {\n\tfont-family:\"B Bharati TitleTwo\", sans-serif;\n\tfont-size:14px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-44 {\n\tfont-size:12px;\n\tfont-style:normal;\n\tfont-weight:bold;\n}\nspan.idf9ef215b7-CharOverride-45 {\n\tcolor:#ffffff;\n\tfont-family:\"Hind Vadodara\", sans-serif;\n\tfont-size:13px;\n\tfont-style:normal;\n\tfont-weight:bold;\n}\nspan.idf9ef215b7-CharOverride-46 {\n\tcolor:#00aeef;\n}\nspan.idf9ef215b7-CharOverride-47 {\n\tcolor:#00aeef;\n\tfont-style:italic;\n\tfont-weight:bold;\n}\nspan.idf9ef215b7-CharOverride-48 {\n\tcolor:#00aeef;\n\tfont-size:7px;\n\tvertical-align:super;\n}\nspan.idf9ef215b7-CharOverride-49 {\n\tfont-size:7px;\n\tvertical-align:sub;\n}\nspan.idf9ef215b7-CharOverride-50 {\n\tfont-size:7px;\n\tfont-style:italic;\n\tfont-weight:bold;\n\tvertical-align:sub;\n}\nspan.idf9ef215b7-CharOverride-51 {\n\tfont-size:7px;\n\tfont-style:italic;\n\tfont-weight:normal;\n\tvertical-align:sub;\n}\nspan.idf9ef215b7-CharOverride-52 {\n\tcolor:#000000;\n}\nspan.idf9ef215b7-CharOverride-53 {\n\tfont-size:7px;\n\tfont-style:italic;\n\tfont-weight:bold;\n\tvertical-align:super;\n}\nspan.idf9ef215b7-CharOverride-54 {\n\tcolor:#ffffff;\n\tfont-family:\"Myriad Pro\", sans-serif;\n\tfont-size:13px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-55 {\n\tcolor:#ffffff;\n\tfont-family:\"B Bharati TitleTwo\", sans-serif;\n\tfont-size:16px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-56 {\n\tcolor:#008bbf;\n\tfont-size:10px;\n}\nspan.idf9ef215b7-CharOverride-57 {\n\tcolor:#008bbf;\n}\nspan.idf9ef215b7-CharOverride-58 {\n\tfont-family:\"Times New Roman\", serif;\n\tfont-size:10px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-59 {\n\tcolor:#000000;\n\tfont-family:\"Times New Roman\", serif;\n\tfont-size:10px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-60 {\n\tfont-family:Symbol, sans-serif;\n\tfont-size:10px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\ttext-transform:none;\n}\nspan.idf9ef215b7-CharOverride-61 {\n\tfont-family:\"B Bharati TitleLightTwo\", sans-serif;\n\tfont-size:12px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-62 {\n\tfont-family:Symbol, sans-serif;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\ttext-transform:none;\n}\nspan.idf9ef215b7-CharOverride-63 {\n\tcolor:#000000;\n\tfont-style:italic;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-64 {\n\tcolor:#000000;\n\tfont-family:Symbol, sans-serif;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\ttext-transform:none;\n}\nspan.idf9ef215b7-CharOverride-65 {\n\tfont-variant:normal;\n\ttext-transform:uppercase;\n}\nspan.idf9ef215b7-CharOverride-66 {\n\t-webkit-text-combine:none;\n\tcolor:#000000;\n\tfont-family:\"Times New Roman\", serif;\n\tfont-size:10px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\ttext-decoration:none;\n\ttext-transform:none;\n}\nspan.idf9ef215b7-CharOverride-67 {\n\t-webkit-text-combine:none;\n\tcolor:#000000;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\ttext-decoration:none;\n\ttext-transform:none;\n}\nspan.idf9ef215b7-CharOverride-68 {\n\t-webkit-text-combine:none;\n\tcolor:#000000;\n\tfont-family:Symbol, sans-serif;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\ttext-decoration:none;\n\ttext-transform:none;\n}\nspan.idf9ef215b7-CharOverride-69 {\n\tfont-family:\"Times New Roman\", serif;\n\tfont-size:10px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\ttext-transform:none;\n}\nspan.idf9ef215b7-CharOverride-70 {\n\tcolor:#000000;\n\tfont-family:Symbol, sans-serif;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-71 {\n\t-webkit-text-combine:none;\n\tcolor:#000000;\n\tfont-family:Symbol, sans-serif;\n\tfont-size:10px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\ttext-decoration:none;\n\ttext-transform:none;\n}\nspan.idf9ef215b7-CharOverride-72 {\n\t-webkit-text-combine:none;\n\tcolor:#000000;\n\ttext-decoration:none;\n}\nspan.idf9ef215b7-CharOverride-73 {\n\tcolor:#ec008c;\n\tfont-style:italic;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-74 {\n\tfont-family:\"Times New Roman\", serif;\n\tfont-style:italic;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-75 {\n\tfont-size:11px;\n}\nspan.idf9ef215b7-CharOverride-76 {\n\tcolor:#000000;\n\tfont-size:10px;\n}\nspan.idf9ef215b7-CharOverride-77 {\n\tcolor:#000000;\n\tfont-family:\"B Bharati TitleLightTwo\", sans-serif;\n\tfont-size:11px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-78 {\n\tcolor:#000000;\n\tfont-size:10px;\n\tfont-style:italic;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-79 {\n\tfont-family:\"B Bharati TitleTwo\", sans-serif;\n\tfont-size:11px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-80 {\n\tfont-family:\"B Bharati TitleTwo\", sans-serif;\n\tfont-size:10px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-81 {\n\tfont-family:\"MT Extra\", sans-serif;\n\tfont-size:10px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-82 {\n\tcolor:#000000;\n\tfont-family:Symbol, sans-serif;\n\tfont-size:10px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-83 {\n\tcolor:#000000;\n\tfont-size:7px;\n\tvertical-align:super;\n}\nspan.idf9ef215b7-CharOverride-84 {\n\tcolor:#000000;\n\tfont-size:7px;\n\tfont-style:italic;\n\tfont-weight:normal;\n\tvertical-align:super;\n}\nspan.idf9ef215b7-CharOverride-85 {\n\tcolor:#000000;\n\tfont-size:7px;\n\tfont-style:italic;\n\tfont-weight:normal;\n\tvertical-align:sub;\n}\nspan.idf9ef215b7-CharOverride-86 {\n\tcolor:#000000;\n\tfont-size:10px;\n\ttext-decoration:underline;\n}\nspan.idf9ef215b7-CharOverride-87 {\n\tfont-family:\"B Bharati TitleLightTwo\", sans-serif;\n\tfont-size:10px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-88 {\n\tfont-size:10px;\n\ttext-decoration:underline;\n}\nspan.idf9ef215b7-CharOverride-89 {\n\tfont-family:Calibri, sans-serif;\n\tfont-size:10px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-90 {\n\tfont-family:\"MT Extra Tiger\", sans-serif;\n\tfont-size:10px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-91 {\n\tfont-family:\"B Bharati TitleLightTwo\", sans-serif;\n\tfont-size:11px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-92 {\n\tfont-family:Symbol, sans-serif;\n\tfont-size:11px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\ttext-transform:none;\n}\nspan.idf9ef215b7-CharOverride-93 {\n\tfont-size:10px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-94 {\n\tcolor:#000000;\n\tfont-size:10px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-95 {\n\tcolor:#000000;\n\tfont-family:Symbol, sans-serif;\n\tfont-size:10px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\ttext-transform:none;\n}\nspan.idf9ef215b7-CharOverride-96 {\n\tcolor:#000000;\n\tfont-family:\"B Bharati TitleTwo\", sans-serif;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-97 {\n\tcolor:#000000;\n\ttext-decoration:underline;\n}\nspan.idf9ef215b7-CharOverride-98 {\n\tcolor:#000000;\n\tfont-style:italic;\n\tfont-weight:bold;\n}\nspan.idf9ef215b7-CharOverride-99 {\n\t-webkit-text-combine:none;\n\tcolor:#000000;\n\tfont-family:\"Times New Roman\", serif;\n\tfont-size:10px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:bold;\n\ttext-decoration:none;\n\ttext-transform:none;\n}\nspan.idf9ef215b7-CharOverride-100 {\n\tcolor:#ffffff;\n\tfont-family:\"B Bharati TitleTwo\", sans-serif;\n\tfont-size:24px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-101 {\n\tcolor:#ffffff;\n\tfont-family:\"B Bharati TitleTwo\", sans-serif;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idf9ef215b7-CharOverride-102 {\n\tcolor:#ec008c;\n\tfont-family:\"Museo 700\", sans-serif;\n\tfont-size:34px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\ttext-transform:uppercase;\n}\np._idGenParaOverride-1, li._idGenParaOverride-1 {\n\tmargin-left:0px;\n}\ncol._idGenTableRowColumn-1 {\n\twidth:64px;\n}\ncol._idGenTableRowColumn-2 {\n\twidth:146px;\n}\ntr._idGenTableRowColumn-3 {\n\tmin-height:23px;\n}\ntr._idGenTableRowColumn-4 {\n\tmin-height:22px;\n}\ncol._idGenTableRowColumn-5 {\n\twidth:26px;\n}\ncol._idGenTableRowColumn-6 {\n\twidth:90px;\n}\ncol._idGenTableRowColumn-7 {\n\twidth:24px;\n}\ncol._idGenTableRowColumn-8 {\n\twidth:111px;\n}\ntr._idGenTableRowColumn-9 {\n\tmin-height:34px;\n}\ntr._idGenTableRowColumn-10 {\n\tmin-height:31px;\n}\ncol._idGenTableRowColumn-11 {\n\twidth:102px;\n}\ncol._idGenTableRowColumn-12 {\n\twidth:19px;\n}\ncol._idGenTableRowColumn-13 {\n\twidth:107px;\n}\ntr._idGenTableRowColumn-14 {\n\tmin-height:54px;\n}\ntr._idGenTableRowColumn-15 {\n\tmin-height:39px;\n}\ncol._idGenTableRowColumn-16 {\n\twidth:28px;\n}\ncol._idGenTableRowColumn-17 {\n\twidth:231px;\n}\ncol._idGenTableRowColumn-18 {\n\twidth:33px;\n}\ncol._idGenTableRowColumn-19 {\n\twidth:208px;\n}\ncol._idGenTableRowColumn-20 {\n\twidth:76px;\n}\ncol._idGenTableRowColumn-21 {\n\twidth:20px;\n}\ncol._idGenTableRowColumn-22 {\n\twidth:103px;\n}\ntr._idGenTableRowColumn-23 {\n\tmin-height:33px;\n}\ntr._idGenTableRowColumn-24 {\n\tmin-height:47px;\n}\ncol._idGenTableRowColumn-25 {\n\twidth:88px;\n}\ncol._idGenTableRowColumn-26 {\n\twidth:23px;\n}\ncol._idGenTableRowColumn-27 {\n\twidth:92px;\n}\ntr._idGenTableRowColumn-28 {\n\tmin-height:17px;\n}\ntr._idGenTableRowColumn-29 {\n\tmin-height:15px;\n}\ncol._idGenTableRowColumn-30 {\n\twidth:22px;\n}\ncol._idGenTableRowColumn-31 {\n\twidth:75px;\n}\ncol._idGenTableRowColumn-32 {\n\twidth:97px;\n}\ntr._idGenTableRowColumn-33 {\n\tmin-height:35px;\n}\ncol._idGenTableRowColumn-34 {\n\twidth:80px;\n}\ncol._idGenTableRowColumn-35 {\n\twidth:518px;\n}\n#_idContainer000 {\n\tdisplay:inline-block;\n\theight:148px;\n\tposition:relative;\n\twidth:624px;\n}\n#_idContainer001 {\n\tdisplay:inline-block;\n\theight:416px;\n\tposition:relative;\n\twidth:515px;\n}\n#_idContainer057 {\n\t-ms-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:83.04px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:496.22px;\n\tz-index:0;\n}\n#_idContainer058 {\n\t-ms-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:37.98px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:489.43px;\n\tz-index:0;\n}\n#_idContainer059 {\n\t-ms-transform:translate(38.683px,39.755px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(38.683px,39.755px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:17.50px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(38.683px,39.755px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(38.683px,39.755px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:453.22px;\n\tz-index:1;\n}\n#_idContainer060 {\n\t-ms-transform:translate(38.683px,58.889px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(38.683px,58.889px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:17.65px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(38.683px,58.889px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(38.683px,58.889px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:450.75px;\n\tz-index:2;\n}\n#_idContainer061 {\n\t-ms-transform:translate(4.395px,5.102px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(4.395px,5.102px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:76.54px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(4.395px,5.102px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(4.395px,5.102px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:491.90px;\n\tz-index:1;\n}\n#_idContainer062 {\n\tdisplay:inline-block;\n\theight:85px;\n\tposition:relative;\n\twidth:498px;\n}\n#_idContainer063 {\n\t-ms-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:146.19px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:146.90px;\n\tz-index:0;\n}\n#_idContainer064 {\n\t-ms-transform:translate(13.341px,6.009px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(13.341px,6.009px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:134.17px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(13.341px,6.009px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(13.341px,6.009px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:120.22px;\n\tz-index:1;\n}\n#_idContainer065 {\n\t-ms-transform:translate(189.637px,85.065px) rotate(270.000deg) skew(0.000deg) scale(1.000,-1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(189.637px,85.065px) rotate(270.000deg) skew(0.000deg) scale(1.000,-1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:42.74px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(189.637px,85.065px) rotate(270.000deg) skew(0.000deg) scale(1.000,-1.000);\n\ttransform:translate(189.637px,85.065px) rotate(270.000deg) skew(0.000deg) scale(1.000,-1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:37.30px;\n\tz-index:2;\n}\n#_idContainer066 {\n\tdisplay:inline-block;\n\theight:146px;\n\tposition:relative;\n\twidth:190px;\n}\n#_idContainer068 {\n\tdisplay:inline-block;\n\theight:174px;\n\twidth:311px;\n}\n#_idContainer069 {\n\t-ms-transform:translate(0.000px,26.584px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,26.584px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:15.30px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,26.584px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,26.584px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:19.13px;\n\tz-index:24;\n}\n#_idContainer070 {\n\t-ms-transform:translate(10.247px,23.115px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(10.247px,23.115px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:81.62px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(10.247px,23.115px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(10.247px,23.115px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:81.62px;\n\tz-index:28;\n}\n#_idContainer071 {\n\t-ms-transform:translate(12.499px,37.523px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(12.499px,37.523px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:38.01px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(12.499px,37.523px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(12.499px,37.523px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:6.73px;\n\tz-index:0;\n}\n#_idContainer072 {\n\t-ms-transform:translate(17.151px,30.405px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(17.151px,30.405px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:54.56px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(17.151px,30.405px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(17.151px,30.405px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:10.49px;\n\tz-index:1;\n}\n#_idContainer073 {\n\t-ms-transform:translate(22.057px,26.653px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(22.057px,26.653px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:64.40px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(22.057px,26.653px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(22.057px,26.653px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:13.04px;\n\tz-index:2;\n}\n#_idContainer074 {\n\t-ms-transform:translate(27.283px,24.812px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(27.283px,24.812px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:70.75px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(27.283px,24.812px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(27.283px,24.812px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:14.02px;\n\tz-index:3;\n}\n#_idContainer075 {\n\t-ms-transform:translate(32.692px,23.951px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(32.692px,23.951px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:75.05px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(32.692px,23.951px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(32.692px,23.951px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:16.50px;\n\tz-index:4;\n}\n#_idContainer076 {\n\t-ms-transform:translate(38.350px,24.369px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(38.350px,24.369px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:77.08px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(38.350px,24.369px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(38.350px,24.369px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:17.36px;\n\tz-index:5;\n}\n#_idContainer077 {\n\t-ms-transform:translate(44.302px,25.556px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(44.302px,25.556px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:77.58px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(44.302px,25.556px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(44.302px,25.556px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:17.01px;\n\tz-index:6;\n}\n#_idContainer078 {\n\t-ms-transform:translate(50.889px,27.838px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(50.889px,27.838px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:75.97px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(50.889px,27.838px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(50.889px,27.838px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:16.50px;\n\tz-index:7;\n}\n#_idContainer079 {\n\t-ms-transform:translate(57.811px,30.593px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(57.811px,30.593px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:72.91px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(57.811px,30.593px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(57.811px,30.593px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:14.81px;\n\tz-index:8;\n}\n#_idContainer080 {\n\t-ms-transform:translate(64.863px,35.609px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(64.863px,35.609px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:66.26px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(64.863px,35.609px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(64.863px,35.609px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:14.01px;\n\tz-index:9;\n}\n#_idContainer081 {\n\t-ms-transform:translate(57.546px,111.027px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(57.546px,111.027px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:15.30px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(57.546px,111.027px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(57.546px,111.027px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:65.68px;\n\tz-index:23;\n}\n#_idContainer082 {\n\t-ms-transform:translate(78.762px,23.115px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(78.762px,23.115px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:81.62px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(78.762px,23.115px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(78.762px,23.115px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:81.62px;\n\tz-index:27;\n}\n#_idContainer083 {\n\t-ms-transform:translate(71.916px,41.325px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(71.916px,41.325px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:57.68px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(71.916px,41.325px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(71.916px,41.325px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:12.36px;\n\tz-index:10;\n}\n#_idContainer084 {\n\t-ms-transform:translate(80.272px,33.296px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(80.272px,33.296px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:59.78px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(80.272px,33.296px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(80.272px,33.296px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:11.82px;\n\tz-index:11;\n}\n#_idContainer085 {\n\t-ms-transform:translate(88.038px,28.834px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(88.038px,28.834px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:59.33px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(88.038px,28.834px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(88.038px,28.834px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:10.77px;\n\tz-index:12;\n}\n#_idContainer086 {\n\t-ms-transform:translate(93.232px,25.749px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(93.232px,25.749px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:67.74px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(93.232px,25.749px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(93.232px,25.749px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:12.71px;\n\tz-index:13;\n}\n#_idContainer087 {\n\t-ms-transform:translate(98.510px,24.564px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(98.510px,24.564px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:72.89px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(98.510px,24.564px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(98.510px,24.564px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:14.02px;\n\tz-index:14;\n}\n#_idContainer088 {\n\t-ms-transform:translate(104.547px,23.976px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(104.547px,23.976px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:76.82px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(104.547px,23.976px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(104.547px,23.976px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:14.57px;\n\tz-index:15;\n}\n#_idContainer089 {\n\t-ms-transform:translate(110.627px,24.570px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(110.627px,24.570px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:78.08px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(110.627px,24.570px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(110.627px,24.570px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:14.57px;\n\tz-index:16;\n}\n#_idContainer090 {\n\t-ms-transform:translate(117.255px,26.095px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(117.255px,26.095px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:77.52px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(117.255px,26.095px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(117.255px,26.095px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:14.02px;\n\tz-index:17;\n}\n#_idContainer091 {\n\t-ms-transform:translate(122.703px,28.282px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(122.703px,28.282px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:75.51px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(122.703px,28.282px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(122.703px,28.282px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:14.36px;\n\tz-index:18;\n}\n#_idContainer092 {\n\t-ms-transform:translate(129.246px,31.579px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(129.246px,31.579px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:71.36px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(129.246px,31.579px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(129.246px,31.579px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:13.18px;\n\tz-index:19;\n}\n#_idContainer093 {\n\t-ms-transform:translate(136.592px,36.061px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(136.592px,36.061px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:64.68px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(136.592px,36.061px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(136.592px,36.061px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:11.32px;\n\tz-index:20;\n}\n#_idContainer094 {\n\t-ms-transform:translate(159.504px,26.584px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(159.504px,26.584px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:15.30px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(159.504px,26.584px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(159.504px,26.584px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:19.13px;\n\tz-index:25;\n}\n#_idContainer095 {\n\t-ms-transform:translate(144.064px,42.063px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(144.064px,42.063px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:54.66px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(144.064px,42.063px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(144.064px,42.063px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:8.92px;\n\tz-index:21;\n}\n#_idContainer096 {\n\t-ms-transform:translate(151.115px,50.630px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(151.115px,50.630px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:40.06px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(151.115px,50.630px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(151.115px,50.630px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:6.30px;\n\tz-index:22;\n}\n#_idContainer097 {\n\t-ms-transform:translate(211.108px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(211.108px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:15.30px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(211.108px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(211.108px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:16.64px;\n\tz-index:26;\n}\n#_idContainer098 {\n\t-ms-transform:translate(-8.215px,70.376px) rotate(342.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(-8.215px,70.376px) rotate(342.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:126.33px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(-8.215px,70.376px) rotate(342.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(-8.215px,70.376px) rotate(342.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:227.74px;\n\tz-index:2;\n}\n#_idContainer099 {\n\t-ms-transform:translate(0.000px,13.344px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,13.344px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:78.17px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,13.344px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,13.344px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:162.92px;\n\tz-index:0;\n}\n#_idContainer100 {\n\t-ms-transform:translate(2.530px,18.585px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(2.530px,18.585px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:10.70px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(2.530px,18.585px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(2.530px,18.585px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:13.37px;\n\tz-index:25;\n}\n#_idContainer101 {\n\t-ms-transform:translate(9.694px,16.160px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(9.694px,16.160px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:57.06px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(9.694px,16.160px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(9.694px,16.160px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:57.06px;\n\tz-index:29;\n}\n#_idContainer102 {\n\t-ms-transform:translate(11.269px,26.233px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(11.269px,26.233px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:26.57px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(11.269px,26.233px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(11.269px,26.233px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:4.70px;\n\tz-index:1;\n}\n#_idContainer103 {\n\t-ms-transform:translate(14.521px,21.257px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(14.521px,21.257px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:38.14px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(14.521px,21.257px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(14.521px,21.257px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:7.34px;\n\tz-index:2;\n}\n#_idContainer104 {\n\t-ms-transform:translate(17.951px,18.634px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(17.951px,18.634px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:45.02px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(17.951px,18.634px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(17.951px,18.634px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.12px;\n\tz-index:3;\n}\n#_idContainer105 {\n\t-ms-transform:translate(21.605px,17.347px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(21.605px,17.347px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:49.46px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(21.605px,17.347px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(21.605px,17.347px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.80px;\n\tz-index:4;\n}\n#_idContainer106 {\n\t-ms-transform:translate(25.386px,16.745px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(25.386px,16.745px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:52.47px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(25.386px,16.745px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(25.386px,16.745px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:11.53px;\n\tz-index:5;\n}\n#_idContainer107 {\n\t-ms-transform:translate(29.342px,17.037px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(29.342px,17.037px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:53.89px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(29.342px,17.037px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(29.342px,17.037px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:12.14px;\n\tz-index:6;\n}\n#_idContainer108 {\n\t-ms-transform:translate(33.504px,17.867px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(33.504px,17.867px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:54.24px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(33.504px,17.867px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(33.504px,17.867px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:11.89px;\n\tz-index:7;\n}\n#_idContainer109 {\n\t-ms-transform:translate(38.108px,19.462px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(38.108px,19.462px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:53.12px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(38.108px,19.462px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(38.108px,19.462px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:11.54px;\n\tz-index:8;\n}\n#_idContainer110 {\n\t-ms-transform:translate(42.947px,21.388px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(42.947px,21.388px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:50.98px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(42.947px,21.388px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(42.947px,21.388px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:10.35px;\n\tz-index:9;\n}\n#_idContainer111 {\n\t-ms-transform:translate(47.878px,24.895px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(47.878px,24.895px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:46.32px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(47.878px,24.895px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(47.878px,24.895px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.79px;\n\tz-index:10;\n}\n#_idContainer112 {\n\t-ms-transform:translate(57.595px,16.160px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(57.595px,16.160px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:57.06px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(57.595px,16.160px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(57.595px,16.160px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:57.06px;\n\tz-index:28;\n}\n#_idContainer113 {\n\t-ms-transform:translate(52.809px,28.892px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(52.809px,28.892px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:40.32px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(52.809px,28.892px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(52.809px,28.892px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:8.64px;\n\tz-index:11;\n}\n#_idContainer114 {\n\t-ms-transform:translate(58.651px,23.278px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(58.651px,23.278px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:41.79px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(58.651px,23.278px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(58.651px,23.278px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:8.26px;\n\tz-index:12;\n}\n#_idContainer115 {\n\t-ms-transform:translate(42.763px,77.622px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(42.763px,77.622px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:10.70px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(42.763px,77.622px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(42.763px,77.622px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:45.92px;\n\tz-index:24;\n}\n#_idContainer116 {\n\t-ms-transform:translate(64.081px,20.158px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(64.081px,20.158px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:41.48px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(64.081px,20.158px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(64.081px,20.158px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:7.53px;\n\tz-index:13;\n}\n#_idContainer117 {\n\t-ms-transform:translate(67.712px,18.002px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(67.712px,18.002px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:47.36px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(67.712px,18.002px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(67.712px,18.002px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:8.89px;\n\tz-index:14;\n}\n#_idContainer118 {\n\t-ms-transform:translate(71.402px,17.173px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(71.402px,17.173px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:50.96px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(71.402px,17.173px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(71.402px,17.173px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.80px;\n\tz-index:15;\n}\n#_idContainer119 {\n\t-ms-transform:translate(75.623px,16.762px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(75.623px,16.762px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:53.70px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(75.623px,16.762px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(75.623px,16.762px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:10.18px;\n\tz-index:16;\n}\n#_idContainer120 {\n\t-ms-transform:translate(79.873px,17.177px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(79.873px,17.177px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:54.59px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(79.873px,17.177px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(79.873px,17.177px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:10.19px;\n\tz-index:17;\n}\n#_idContainer121 {\n\t-ms-transform:translate(84.507px,18.243px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(84.507px,18.243px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:54.20px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(84.507px,18.243px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(84.507px,18.243px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.80px;\n\tz-index:18;\n}\n#_idContainer122 {\n\t-ms-transform:translate(88.316px,19.773px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(88.316px,19.773px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:52.79px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(88.316px,19.773px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(88.316px,19.773px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:10.04px;\n\tz-index:19;\n}\n#_idContainer123 {\n\t-ms-transform:translate(92.890px,22.078px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(92.890px,22.078px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:49.89px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(92.890px,22.078px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(92.890px,22.078px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.21px;\n\tz-index:20;\n}\n#_idContainer124 {\n\t-ms-transform:translate(98.026px,25.211px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(98.026px,25.211px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:45.22px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(98.026px,25.211px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(98.026px,25.211px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:7.91px;\n\tz-index:21;\n}\n#_idContainer125 {\n\t-ms-transform:translate(114.044px,18.585px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(114.044px,18.585px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:10.70px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(114.044px,18.585px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(114.044px,18.585px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:13.37px;\n\tz-index:26;\n}\n#_idContainer126 {\n\t-ms-transform:translate(103.250px,29.407px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(103.250px,29.407px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:38.21px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(103.250px,29.407px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(103.250px,29.407px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:6.23px;\n\tz-index:22;\n}\n#_idContainer127 {\n\t-ms-transform:translate(108.180px,35.397px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(108.180px,35.397px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:28.01px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(108.180px,35.397px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(108.180px,35.397px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:4.40px;\n\tz-index:23;\n}\n#_idContainer128 {\n\t-ms-transform:translate(150.122px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(150.122px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:10.70px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(150.122px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(150.122px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:11.63px;\n\tz-index:27;\n}\n#_idContainer129 {\n\t-ms-transform:translate(122.328px,159.798px) rotate(334.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(122.328px,159.798px) rotate(334.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:93.05px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(122.328px,159.798px) rotate(334.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(122.328px,159.798px) rotate(334.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:164.46px;\n\tz-index:0;\n}\n#_idContainer130 {\n\t-ms-transform:translate(0.000px,22.859px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,22.859px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:13.16px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,22.859px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,22.859px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:16.45px;\n\tz-index:24;\n}\n#_idContainer131 {\n\t-ms-transform:translate(8.811px,19.877px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(8.811px,19.877px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:70.18px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(8.811px,19.877px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(8.811px,19.877px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:70.18px;\n\tz-index:27;\n}\n#_idContainer132 {\n\t-ms-transform:translate(10.748px,32.266px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(10.748px,32.266px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:32.68px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(10.748px,32.266px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(10.748px,32.266px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:5.78px;\n\tz-index:0;\n}\n#_idContainer133 {\n\t-ms-transform:translate(14.748px,26.145px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(14.748px,26.145px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:46.91px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(14.748px,26.145px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(14.748px,26.145px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.02px;\n\tz-index:1;\n}\n#_idContainer134 {\n\t-ms-transform:translate(18.967px,22.919px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(18.967px,22.919px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:55.38px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(18.967px,22.919px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(18.967px,22.919px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:11.21px;\n\tz-index:2;\n}\n#_idContainer135 {\n\t-ms-transform:translate(23.461px,21.336px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(23.461px,21.336px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:60.84px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(23.461px,21.336px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(23.461px,21.336px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:12.05px;\n\tz-index:3;\n}\n#_idContainer136 {\n\t-ms-transform:translate(28.112px,20.595px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(28.112px,20.595px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:64.54px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(28.112px,20.595px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(28.112px,20.595px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:14.19px;\n\tz-index:4;\n}\n#_idContainer137 {\n\t-ms-transform:translate(32.977px,20.955px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(32.977px,20.955px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:66.29px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(32.977px,20.955px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(32.977px,20.955px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:14.93px;\n\tz-index:5;\n}\n#_idContainer138 {\n\t-ms-transform:translate(38.096px,21.976px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(38.096px,21.976px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:66.71px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(38.096px,21.976px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(38.096px,21.976px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:14.62px;\n\tz-index:6;\n}\n#_idContainer139 {\n\t-ms-transform:translate(43.759px,23.938px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(43.759px,23.938px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:65.33px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(43.759px,23.938px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(43.759px,23.938px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:14.19px;\n\tz-index:7;\n}\n#_idContainer140 {\n\t-ms-transform:translate(49.711px,26.307px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(49.711px,26.307px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:62.70px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(49.711px,26.307px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(49.711px,26.307px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:12.73px;\n\tz-index:8;\n}\n#_idContainer141 {\n\t-ms-transform:translate(55.776px,30.620px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(55.776px,30.620px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:56.98px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(55.776px,30.620px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(55.776px,30.620px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:12.05px;\n\tz-index:9;\n}\n#_idContainer142 {\n\t-ms-transform:translate(49.484px,95.472px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(49.484px,95.472px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:13.16px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(49.484px,95.472px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(49.484px,95.472px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:56.48px;\n\tz-index:23;\n}\n#_idContainer143 {\n\t-ms-transform:translate(67.728px,19.877px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(67.728px,19.877px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:70.18px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(67.728px,19.877px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(67.728px,19.877px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:70.18px;\n\tz-index:26;\n}\n#_idContainer144 {\n\t-ms-transform:translate(61.840px,35.536px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(61.840px,35.536px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:49.60px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(61.840px,35.536px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(61.840px,35.536px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:10.63px;\n\tz-index:10;\n}\n#_idContainer145 {\n\t-ms-transform:translate(69.026px,28.631px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(69.026px,28.631px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:51.40px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(69.026px,28.631px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(69.026px,28.631px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:10.16px;\n\tz-index:11;\n}\n#_idContainer146 {\n\t-ms-transform:translate(75.704px,24.794px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(75.704px,24.794px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:51.02px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(75.704px,24.794px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(75.704px,24.794px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.26px;\n\tz-index:12;\n}\n#_idContainer147 {\n\t-ms-transform:translate(80.170px,22.142px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(80.170px,22.142px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:58.25px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(80.170px,22.142px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(80.170px,22.142px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:10.93px;\n\tz-index:13;\n}\n#_idContainer148 {\n\t-ms-transform:translate(84.709px,21.123px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(84.709px,21.123px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:62.68px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(84.709px,21.123px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(84.709px,21.123px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:12.05px;\n\tz-index:14;\n}\n#_idContainer149 {\n\t-ms-transform:translate(89.900px,20.617px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(89.900px,20.617px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:66.05px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(89.900px,20.617px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(89.900px,20.617px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:12.53px;\n\tz-index:15;\n}\n#_idContainer150 {\n\t-ms-transform:translate(95.128px,21.128px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(95.128px,21.128px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:67.14px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(95.128px,21.128px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(95.128px,21.128px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:12.53px;\n\tz-index:16;\n}\n#_idContainer151 {\n\t-ms-transform:translate(100.827px,22.439px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(100.827px,22.439px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:66.66px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(100.827px,22.439px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(100.827px,22.439px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:12.06px;\n\tz-index:17;\n}\n#_idContainer152 {\n\t-ms-transform:translate(105.512px,24.320px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(105.512px,24.320px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:64.93px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(105.512px,24.320px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(105.512px,24.320px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:12.35px;\n\tz-index:18;\n}\n#_idContainer153 {\n\t-ms-transform:translate(111.139px,27.155px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(111.139px,27.155px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:61.37px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(111.139px,27.155px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(111.139px,27.155px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:11.33px;\n\tz-index:19;\n}\n#_idContainer154 {\n\t-ms-transform:translate(117.455px,31.009px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(117.455px,31.009px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:55.62px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(117.455px,31.009px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(117.455px,31.009px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.73px;\n\tz-index:20;\n}\n#_idContainer155 {\n\t-ms-transform:translate(123.881px,36.170px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(123.881px,36.170px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:47.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(123.881px,36.170px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(123.881px,36.170px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:7.67px;\n\tz-index:21;\n}\n#_idContainer156 {\n\t-ms-transform:translate(129.944px,43.537px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(129.944px,43.537px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:34.45px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(129.944px,43.537px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(129.944px,43.537px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:5.42px;\n\tz-index:22;\n}\n#_idContainer157 {\n\t-ms-transform:translate(181.532px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(181.532px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:13.16px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(181.532px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(181.532px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:14.30px;\n\tz-index:25;\n}\n#_idContainer158 {\n\t-ms-transform:translate(175.594px,224.581px) rotate(342.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(175.594px,224.581px) rotate(342.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:108.63px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(175.594px,224.581px) rotate(342.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(175.594px,224.581px) rotate(342.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:195.84px;\n\tz-index:1;\n}\n#_idContainer159 {\n\t-ms-transform:translate(-21.246px,-84.695px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(-21.246px,-84.695px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:312.60px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(-21.246px,-84.695px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(-21.246px,-84.695px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:365.91px;\n\tz-index:0;\n}\n#_idContainer160 {\n\tdisplay:inline-block;\n\theight:235px;\n\toverflow:hidden;\n\tposition:relative;\n\twidth:268px;\n}\n#_idContainer167, #_idContainer240, #_idContainer254, #_idContainer260, #_idContainer266, #_idContainer417, #_idContainer422 {\n\t-ms-transform:translate(0.000px,16.302px) rotate(315.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,16.302px) rotate(315.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:22.31px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,16.302px) rotate(315.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,16.302px) rotate(315.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:22.31px;\n\tz-index:1;\n}\n#_idContainer168, #_idContainer424 {\n\t-ms-transform:translate(9.921px,8.926px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(9.921px,8.926px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:15.17px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(9.921px,8.926px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(9.921px,8.926px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:11.84px;\n\tz-index:2;\n}\n#_idContainer169 {\n\t-ms-transform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:20.97px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:150.24px;\n\tz-index:0;\n}\n#_idContainer170 {\n\tdisplay:inline-block;\n\theight:33px;\n\tposition:relative;\n\twidth:161px;\n}\n#_idContainer173 {\n\t-ms-transform:translate(0.000px,9.609px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,9.609px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:368.48px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,9.609px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,9.609px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:512.74px;\n\tz-index:0;\n}\n#_idContainer174 {\n\t-ms-transform:translate(172.496px,27.212px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(172.496px,27.212px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:347.66px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(172.496px,27.212px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(172.496px,27.212px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:2;\n}\n#_idContainer175, #_idContainer343 {\n\t-ms-transform:translate(229.606px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(229.606px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:20.30px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(229.606px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(229.606px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:59.53px;\n\tz-index:1;\n}\n#_idContainer176 {\n\t-ms-transform:translate(349.661px,27.212px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(349.661px,27.212px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:347.66px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(349.661px,27.212px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(349.661px,27.212px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:3;\n}\n#_idContainer177 {\n\tdisplay:inline-block;\n\theight:384px;\n\tposition:relative;\n\twidth:519px;\n}\n#_idContainer222 {\n\t-ms-transform:translate(0.000px,-0.001px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,-0.001px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:72.11px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,-0.001px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,-0.001px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:28.78px;\n\tz-index:0;\n}\n#_idContainer223 {\n\t-ms-transform:translate(0.000px,9.467px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,9.467px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:1.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,9.467px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,9.467px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:28.80px;\n\tz-index:2;\n}\n#_idContainer224 {\n\t-ms-transform:translate(0.000px,22.223px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,22.223px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:1.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,22.223px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,22.223px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:28.80px;\n\tz-index:3;\n}\n#_idContainer225 {\n\t-ms-transform:translate(0.000px,35.688px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,35.688px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:1.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,35.688px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,35.688px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:28.80px;\n\tz-index:4;\n}\n#_idContainer226 {\n\t-ms-transform:translate(0.000px,48.444px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,48.444px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:1.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,48.444px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,48.444px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:28.80px;\n\tz-index:5;\n}\n#_idContainer227 {\n\t-ms-transform:translate(0.000px,61.199px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,61.199px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:1.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,61.199px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,61.199px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:28.80px;\n\tz-index:6;\n}\n#_idContainer228 {\n\t-ms-transform:translate(10.771px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(10.771px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:72.11px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(10.771px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(10.771px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.50px;\n\tz-index:1;\n}\n#_idContainer229 {\n\tdisplay:inline-block;\n\theight:72px;\n\tposition:relative;\n\twidth:29px;\n}\n#_idContainer241 {\n\t-ms-transform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:21.26px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:151.37px;\n\tz-index:0;\n}\n#_idContainer242 {\n\t-ms-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:32.61px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:162.14px;\n\tz-index:0;\n}\n#_idContainer243, #_idContainer257, #_idContainer263, #_idContainer269, #_idContainer420 {\n\t-ms-transform:translate(9.921px,8.926px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(9.921px,8.926px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:15.17px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(9.921px,8.926px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(9.921px,8.926px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:11.84px;\n\tz-index:1;\n}\n#_idContainer244 {\n\tdisplay:inline-block;\n\theight:33px;\n\tposition:relative;\n\twidth:162px;\n}\n#_idContainer245 {\n\t-ms-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:102.33px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.50px;\n\tz-index:1;\n}\n#_idContainer246 {\n\t-ms-transform:translate(5.919px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(5.919px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:99.76px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(5.919px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(5.919px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:105.38px;\n\tz-index:0;\n}\n#_idContainer247 {\n\tdisplay:inline-block;\n\theight:102px;\n\tposition:relative;\n\twidth:111px;\n}\n#_idContainer255, #_idContainer261 {\n\t-ms-transform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:21.26px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:257.95px;\n\tz-index:0;\n}\n#_idContainer256, #_idContainer262 {\n\t-ms-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:32.61px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:268.72px;\n\tz-index:0;\n}\n#_idContainer258, #_idContainer264 {\n\tdisplay:inline-block;\n\theight:33px;\n\tposition:relative;\n\twidth:269px;\n}\n#_idContainer265 {\n\t-ms-transform:translate(0.000px,40.475px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,40.475px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:13.04px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,40.475px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,40.475px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:518.74px;\n\tz-index:1;\n}\n#_idContainer267 {\n\t-ms-transform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:21.26px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:241.51px;\n\tz-index:0;\n}\n#_idContainer268 {\n\t-ms-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:32.61px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:252.28px;\n\tz-index:0;\n}\n#_idContainer270 {\n\t-ms-transform:translate(133.511px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(133.511px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:32.61px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(133.511px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(133.511px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:252.28px;\n\tz-index:0;\n}\n#_idContainer271 {\n\tdisplay:inline-block;\n\theight:54px;\n\tposition:relative;\n\twidth:519px;\n}\n#_idContainer278 {\n\t-ms-transform:translate(0.000px,5.811px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,5.811px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:55.55px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,5.811px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,5.811px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:92.54px;\n\tz-index:11;\n}\n#_idContainer279 {\n\t-ms-transform:translate(3.534px,32.031px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(3.534px,32.031px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(3.534px,32.031px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(3.534px,32.031px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:6.67px;\n\tz-index:10;\n}\n#_idContainer280 {\n\t-ms-transform:translate(15.275px,17.291px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(15.275px,17.291px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:39.69px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(15.275px,17.291px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(15.275px,17.291px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:39.69px;\n\tz-index:0;\n}\n#_idContainer281, #_idContainer284, #_idContainer287, #_idContainer291, #_idContainer294, #_idContainer297, #_idContainer300, #_idContainer307, #_idContainer310, #_idContainer314, #_idContainer317, #_idContainer322, #_idContainer325, #_idContainer329 {\n\t-ms-transform:translate(0.000px,2.332px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,2.332px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:2.27px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,2.332px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,2.332px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:2.27px;\n\tz-index:1;\n}\n#_idContainer282, #_idContainer285, #_idContainer288, #_idContainer292, #_idContainer295, #_idContainer298, #_idContainer301 {\n\t-ms-transform:translate(3.401px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(3.401px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(3.401px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(3.401px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:6.67px;\n\tz-index:0;\n}\n#_idContainer283 {\n\t-ms-transform:translate(20.551px,26.078px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(20.551px,26.078px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(20.551px,26.078px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(20.551px,26.078px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:10.07px;\n\tz-index:7;\n}\n#_idContainer286 {\n\t-ms-transform:translate(24.661px,45.921px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(24.661px,45.921px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(24.661px,45.921px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(24.661px,45.921px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:10.07px;\n\tz-index:6;\n}\n#_idContainer289 {\n\t-ms-transform:translate(28.479px,8.362px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(28.479px,8.362px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(28.479px,8.362px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(28.479px,8.362px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:10.07px;\n\tz-index:2;\n}\n#_idContainer290 {\n\t-ms-transform:translate(41.495px,17.291px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(41.495px,17.291px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:39.69px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(41.495px,17.291px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(41.495px,17.291px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:39.69px;\n\tz-index:1;\n}\n#_idContainer293 {\n\t-ms-transform:translate(43.511px,33.307px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(43.511px,33.307px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(43.511px,33.307px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(43.511px,33.307px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:10.07px;\n\tz-index:8;\n}\n#_idContainer296 {\n\t-ms-transform:translate(59.102px,21.412px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(59.102px,21.412px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(59.102px,21.412px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(59.102px,21.412px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:10.07px;\n\tz-index:3;\n}\n#_idContainer299 {\n\t-ms-transform:translate(59.660px,46.346px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(59.660px,46.346px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(59.660px,46.346px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(59.660px,46.346px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:10.07px;\n\tz-index:5;\n}\n#_idContainer302 {\n\t-ms-transform:translate(75.401px,14.326px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(75.401px,14.326px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(75.401px,14.326px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(75.401px,14.326px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:10.07px;\n\tz-index:4;\n}\n#_idContainer303 {\n\t-ms-transform:translate(83.055px,32.031px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(83.055px,32.031px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(83.055px,32.031px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(83.055px,32.031px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:6.67px;\n\tz-index:9;\n}\n#_idContainer304 {\n\t-ms-transform:translate(94.677px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(94.677px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(94.677px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(94.677px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:8.67px;\n\tz-index:12;\n}\n#_idContainer305 {\n\tdisplay:inline-block;\n\theight:62px;\n\tposition:relative;\n\twidth:103px;\n}\n#_idContainer306 {\n\t-ms-transform:translate(0.000px,6.803px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,6.803px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:55.55px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,6.803px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,6.803px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:92.54px;\n\tz-index:11;\n}\n#_idContainer308, #_idContainer311 {\n\t-ms-transform:translate(3.401px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(3.401px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.94px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(3.401px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(3.401px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:5.17px;\n\tz-index:0;\n}\n#_idContainer309 {\n\t-ms-transform:translate(2.834px,31.322px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(2.834px,31.322px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.94px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(2.834px,31.322px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(2.834px,31.322px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:8.57px;\n\tz-index:2;\n}\n#_idContainer312 {\n\t-ms-transform:translate(2.834px,50.314px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(2.834px,50.314px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.94px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(2.834px,50.314px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(2.834px,50.314px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:8.57px;\n\tz-index:3;\n}\n#_idContainer313 {\n\t-ms-transform:translate(15.275px,18.283px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(15.275px,18.283px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:39.69px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(15.275px,18.283px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(15.275px,18.283px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:39.69px;\n\tz-index:0;\n}\n#_idContainer315 {\n\t-ms-transform:translate(3.401px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(3.401px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.94px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(3.401px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(3.401px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:5.15px;\n\tz-index:0;\n}\n#_idContainer316 {\n\t-ms-transform:translate(20.551px,27.070px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(20.551px,27.070px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.94px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(20.551px,27.070px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(20.551px,27.070px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:8.55px;\n\tz-index:5;\n}\n#_idContainer318 {\n\t-ms-transform:translate(3.401px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(3.401px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.94px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(3.401px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(3.401px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:5.14px;\n\tz-index:0;\n}\n#_idContainer319 {\n\t-ms-transform:translate(24.661px,46.913px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(24.661px,46.913px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.94px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(24.661px,46.913px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(24.661px,46.913px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:8.54px;\n\tz-index:4;\n}\n#_idContainer320 {\n\t-ms-transform:translate(31.464px,10.062px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(31.464px,10.062px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(31.464px,10.062px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(31.464px,10.062px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:6.67px;\n\tz-index:10;\n}\n#_idContainer321 {\n\t-ms-transform:translate(41.495px,18.283px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(41.495px,18.283px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:39.69px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(41.495px,18.283px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(41.495px,18.283px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:39.69px;\n\tz-index:1;\n}\n#_idContainer323, #_idContainer326, #_idContainer330 {\n\t-ms-transform:translate(3.401px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(3.401px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.94px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(3.401px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(3.401px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:5.11px;\n\tz-index:0;\n}\n#_idContainer324 {\n\t-ms-transform:translate(43.795px,29.338px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(43.795px,29.338px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.94px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(43.795px,29.338px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(43.795px,29.338px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:8.51px;\n\tz-index:7;\n}\n#_idContainer327 {\n\t-ms-transform:translate(44.220px,39.968px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(44.220px,39.968px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.94px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(44.220px,39.968px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(44.220px,39.968px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:8.51px;\n\tz-index:6;\n}\n#_idContainer328 {\n\t-ms-transform:translate(78.377px,19.417px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(78.377px,19.417px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(78.377px,19.417px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(78.377px,19.417px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 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0%;\n\theight:6.93px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(93.543px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(93.543px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:8.67px;\n\tz-index:12;\n}\n#_idContainer333 {\n\tdisplay:inline-block;\n\theight:63px;\n\tposition:relative;\n\twidth:102px;\n}\n#_idContainer342 {\n\t-ms-transform:translate(0.000px,9.609px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,9.609px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:158.62px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,9.609px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,9.609px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:512.74px;\n\tz-index:0;\n}\n#_idContainer344 {\n\tdisplay:inline-block;\n\theight:174px;\n\tposition:relative;\n\twidth:519px;\n}\n#_idContainer345 {\n\t-ms-transform:translate(0.000px,9.900px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,9.900px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:0.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,9.900px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,9.900px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:517.74px;\n\tz-index:0;\n}\n#_idContainer346 {\n\t-ms-transform:translate(190.306px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(190.306px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:21.54px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(190.306px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(190.306px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:138.13px;\n\tz-index:1;\n}\n#_idContainer347 {\n\tdisplay:inline-block;\n\theight:22px;\n\tposition:relative;\n\twidth:519px;\n}\n#_idContainer349 {\n\tdisplay:inline-block;\n\theight:37px;\n\twidth:1px;\n}\n#_idContainer350 {\n\tdisplay:inline-block;\n\theight:1px;\n\twidth:82px;\n}\n#_idContainer364 {\n\tdisplay:inline-block;\n\theight:1px;\n\twidth:71px;\n}\n#_idContainer385 {\n\tdisplay:inline-block;\n\theight:78px;\n\twidth:30px;\n}\n#_idContainer387 {\n\t-ms-transform:translate(0.000px,22.322px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,22.322px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,22.322px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,22.322px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:10.00px;\n\tz-index:1;\n}\n#_idContainer388 {\n\t-ms-transform:translate(6.592px,9.432px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(6.592px,9.432px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:11.19px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(6.592px,9.432px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(6.592px,9.432px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.49px;\n\tz-index:3;\n}\n#_idContainer389 {\n\t-ms-transform:translate(9.070px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(9.070px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(9.070px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(9.070px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:15.00px;\n\tz-index:0;\n}\n#_idContainer390 {\n\t-ms-transform:translate(25.082px,9.432px) rotate(180.000deg) skew(0.000deg) scale(1.000,-1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(25.082px,9.432px) rotate(180.000deg) skew(0.000deg) scale(1.000,-1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:11.19px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(25.082px,9.432px) rotate(180.000deg) skew(0.000deg) scale(1.000,-1.000);\n\ttransform:translate(25.082px,9.432px) rotate(180.000deg) skew(0.000deg) scale(1.000,-1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.49px;\n\tz-index:4;\n}\n#_idContainer391 {\n\t-ms-transform:translate(21.259px,22.322px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(21.259px,22.322px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(21.259px,22.322px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(21.259px,22.322px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:10.00px;\n\tz-index:2;\n}\n#_idContainer392 {\n\tdisplay:inline-block;\n\theight:29px;\n\tposition:relative;\n\twidth:31px;\n}\n#_idContainer402, #_idContainer403 {\n\tdisplay:inline-block;\n\theight:674px;\n\tposition:relative;\n\twidth:0px;\n}\n#_idContainer404, #_idContainer405, #_idContainer406, #_idContainer407, #_idContainer408, #_idContainer409 {\n\tdisplay:inline-block;\n\theight:708px;\n\tposition:relative;\n\twidth:0px;\n}\n#_idContainer418 {\n\t-ms-transform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:21.26px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:181.95px;\n\tz-index:0;\n}\n#_idContainer419 {\n\t-ms-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:32.61px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:192.72px;\n\tz-index:0;\n}\n#_idContainer421 {\n\tdisplay:inline-block;\n\theight:33px;\n\tposition:relative;\n\twidth:193px;\n}\n#_idContainer423 {\n\t-ms-transform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:21.26px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:111.97px;\n\tz-index:0;\n}\n#_idContainer425 {\n\t-ms-transform:translate(292.026px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(292.026px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:32.61px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(292.026px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(292.026px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:122.74px;\n\tz-index:10;\n}\n#_idContainer426 {\n\t-ms-transform:translate(494.429px,30.188px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(494.429px,30.188px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:152.55px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(494.429px,30.188px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(494.429px,30.188px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:211.53px;\n\tz-index:4;\n}\n#_idContainer427 {\n\t-ms-transform:translate(0.553px,32.551px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.553px,32.551px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:120.19px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.553px,32.551px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.553px,32.551px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:178.79px;\n\tz-index:3;\n}\n#_idContainer428 {\n\t-ms-transform:translate(262.454px,38.551px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(262.454px,38.551px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:45.49px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(262.454px,38.551px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(262.454px,38.551px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:191.05px;\n\tz-index:6;\n}\n#_idContainer429 {\n\t-ms-transform:translate(306.409px,86.258px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(306.409px,86.258px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:26.67px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(306.409px,86.258px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(306.409px,86.258px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:2.00px;\n\tz-index:18;\n}\n#_idContainer430 {\n\t-ms-transform:translate(222.236px,114.208px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(222.236px,114.208px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:17.07px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(222.236px,114.208px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(222.236px,114.208px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:97.70px;\n\tz-index:23;\n}\n#_idContainer431 {\n\t-ms-transform:translate(319.748px,120.741px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(319.748px,120.741px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:62.01px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(319.748px,120.741px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(319.748px,120.741px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:32.15px;\n\tz-index:31;\n}\n#_idContainer432 {\n\t-ms-transform:translate(180.344px,120.741px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(180.344px,120.741px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:2.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(180.344px,120.741px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(180.344px,120.741px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:39.89px;\n\tz-index:16;\n}\n#_idContainer433 {\n\t-ms-transform:translate(364.173px,135.296px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(364.173px,135.296px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:17.07px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(364.173px,135.296px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(364.173px,135.296px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:97.70px;\n\tz-index:28;\n}\n#_idContainer434 {\n\t-ms-transform:translate(494.429px,141.829px) rotate(180.000deg) skew(0.000deg) scale(1.000,-1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(494.429px,141.829px) rotate(180.000deg) skew(0.000deg) scale(1.000,-1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:2.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(494.429px,141.829px) rotate(180.000deg) skew(0.000deg) scale(1.000,-1.000);\n\ttransform:translate(494.429px,141.829px) rotate(180.000deg) skew(0.000deg) scale(1.000,-1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:30.86px;\n\tz-index:14;\n}\n#_idContainer435 {\n\t-ms-transform:translate(388.690px,151.962px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(388.690px,151.962px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:36.02px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(388.690px,151.962px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(388.690px,151.962px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:2.00px;\n\tz-index:19;\n}\n#_idContainer436 {\n\t-ms-transform:translate(219.649px,155.748px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(219.649px,155.748px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:33.79px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(219.649px,155.748px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(219.649px,155.748px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:79.84px;\n\tz-index:12;\n}\n#_idContainer437 {\n\t-ms-transform:translate(299.491px,169.043px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(299.491px,169.043px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:18.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(299.491px,169.043px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(299.491px,169.043px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:39.71px;\n\tz-index:17;\n}\n#_idContainer439 {\n\t-ms-transform:translate(0.553px,169.443px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.553px,169.443px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:148.73px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.553px,169.443px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.553px,169.443px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:178.79px;\n\tz-index:7;\n}\n#_idContainer440 {\n\t-ms-transform:translate(180.344px,179.643px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(180.344px,179.643px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:2.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(180.344px,179.643px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(180.344px,179.643px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:38.30px;\n\tz-index:13;\n}\n#_idContainer441 {\n\t-ms-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:61.87px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:113.92px;\n\tz-index:0;\n}\n#_idContainer442 {\n\t-ms-transform:translate(38.310px,1.397px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(38.310px,1.397px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:20.83px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(38.310px,1.397px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(38.310px,1.397px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:34.08px;\n\tz-index:1;\n}\n#_idContainer443 {\n\t-ms-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:61.87px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:113.92px;\n\tz-index:0;\n}\n#_idContainer444 {\n\t-ms-transform:translate(7.822px,23.267px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(7.822px,23.267px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:28.42px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(7.822px,23.267px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(7.822px,23.267px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:97.70px;\n\tz-index:1;\n}\n#_idContainer445 {\n\t-ms-transform:translate(303.721px,184.748px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(303.721px,184.748px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:61.87px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(303.721px,184.748px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(303.721px,184.748px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:113.92px;\n\tz-index:26;\n}\n#_idContainer446 {\n\t-ms-transform:translate(531.277px,188.985px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(531.277px,188.985px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:17.07px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(531.277px,188.985px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(531.277px,188.985px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:128.27px;\n\tz-index:1;\n}\n#_idContainer447 {\n\t-ms-transform:translate(403.937px,194.157px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(403.937px,194.157px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:2.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(403.937px,194.157px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(403.937px,194.157px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:125.34px;\n\tz-index:29;\n}\n#_idContainer448 {\n\t-ms-transform:translate(593.811px,221.527px) rotate(0.000deg) skew(0.000deg) scale(1.000,-1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(593.811px,221.527px) rotate(0.000deg) skew(0.000deg) scale(1.000,-1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:13.88px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(593.811px,221.527px) rotate(0.000deg) skew(0.000deg) scale(1.000,-1.000);\n\ttransform:translate(593.811px,221.527px) rotate(0.000deg) skew(0.000deg) scale(1.000,-1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:1.60px;\n\tz-index:22;\n}\n#_idContainer449 {\n\t-ms-transform:translate(272.859px,215.181px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(272.859px,215.181px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:96.76px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(272.859px,215.181px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(272.859px,215.181px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:28.86px;\n\tz-index:24;\n}\n#_idContainer450 {\n\t-ms-transform:translate(500.098px,221.925px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(500.098px,221.925px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:89.03px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(500.098px,221.925px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(500.098px,221.925px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:205.86px;\n\tz-index:5;\n}\n#_idContainer451 {\n\t-ms-transform:translate(308.409px,236.078px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(308.409px,236.078px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:149.86px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(308.409px,236.078px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(308.409px,236.078px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:13.24px;\n\tz-index:25;\n}\n#_idContainer452 {\n\t-ms-transform:translate(378.735px,270.877px) rotate(0.000deg) skew(0.000deg) scale(1.000,-1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(378.735px,270.877px) rotate(0.000deg) skew(0.000deg) scale(1.000,-1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:26.67px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(378.735px,270.877px) rotate(0.000deg) skew(0.000deg) scale(1.000,-1.000);\n\ttransform:translate(378.735px,270.877px) rotate(0.000deg) skew(0.000deg) scale(1.000,-1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:2.00px;\n\tz-index:20;\n}\n#_idContainer453 {\n\t-ms-transform:translate(330.285px,270.477px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(330.285px,270.477px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:17.07px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(330.285px,270.477px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(330.285px,270.477px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:97.70px;\n\tz-index:0;\n}\n#_idContainer454 {\n\t-ms-transform:translate(380.235px,287.543px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(380.235px,287.543px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:96.69px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(380.235px,287.543px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(380.235px,287.543px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:64.87px;\n\tz-index:30;\n}\n#_idContainer455 {\n\t-ms-transform:translate(234.960px,313.937px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(234.960px,313.937px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:33.79px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(234.960px,313.937px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(234.960px,313.937px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:79.84px;\n\tz-index:2;\n}\n#_idContainer456 {\n\t-ms-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:203.31px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:260.85px;\n\tz-index:0;\n}\n#_idContainer457, #_idContainer464, #_idContainer471, #_idContainer478 {\n\t-ms-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:42.65px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:68.15px;\n\tz-index:0;\n}\n#_idContainer458, #_idContainer465 {\n\t-ms-transform:translate(58.519px,3.968px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(58.519px,3.968px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(58.519px,3.968px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(58.519px,3.968px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:6.67px;\n\tz-index:2;\n}\n#_idContainer459 {\n\t-ms-transform:translate(2.842px,3.968px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(2.842px,3.968px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(2.842px,3.968px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(2.842px,3.968px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:6.67px;\n\tz-index:4;\n}\n#_idContainer460 {\n\t-ms-transform:translate(29.322px,6.236px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(29.322px,6.236px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:30.18px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(29.322px,6.236px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(29.322px,6.236px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:30.18px;\n\tz-index:1;\n}\n#_idContainer461, #_idContainer468 {\n\t-ms-transform:translate(8.062px,6.236px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(8.062px,6.236px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:30.18px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(8.062px,6.236px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(8.062px,6.236px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:30.18px;\n\tz-index:3;\n}\n#_idContainer462 {\n\t-ms-transform:translate(29.393px,10.459px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(29.393px,10.459px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:21.78px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(29.393px,10.459px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(29.393px,10.459px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:8.78px;\n\tz-index:5;\n}\n#_idContainer463 {\n\t-ms-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:43.65px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:69.15px;\n\tz-index:3;\n}\n#_idContainer466, #_idContainer473 {\n\t-ms-transform:translate(2.842px,3.968px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(2.842px,3.968px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(2.842px,3.968px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(2.842px,3.968px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:6.67px;\n\tz-index:5;\n}\n#_idContainer467, #_idContainer474 {\n\t-ms-transform:translate(29.322px,6.236px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(29.322px,6.236px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:30.18px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(29.322px,6.236px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(29.322px,6.236px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:30.18px;\n\tz-index:4;\n}\n#_idContainer469 {\n\t-ms-transform:translate(29.393px,10.459px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(29.393px,10.459px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:21.78px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(29.393px,10.459px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(29.393px,10.459px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:8.78px;\n\tz-index:1;\n}\n#_idContainer470 {\n\t-ms-transform:translate(0.000px,50.713px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,50.713px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:43.65px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,50.713px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,50.713px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:69.15px;\n\tz-index:0;\n}\n#_idContainer472 {\n\t-ms-transform:translate(58.519px,3.968px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(58.519px,3.968px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(58.519px,3.968px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(58.519px,3.968px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:6.67px;\n\tz-index:3;\n}\n#_idContainer475 {\n\t-ms-transform:translate(8.062px,6.236px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(8.062px,6.236px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:30.18px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(8.062px,6.236px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(8.062px,6.236px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:30.18px;\n\tz-index:1;\n}\n#_idContainer476 {\n\t-ms-transform:translate(29.393px,10.459px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(29.393px,10.459px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:21.78px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(29.393px,10.459px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(29.393px,10.459px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:8.78px;\n\tz-index:2;\n}\n#_idContainer477 {\n\t-ms-transform:translate(0.000px,101.427px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,101.427px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:43.65px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,101.427px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,101.427px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:69.15px;\n\tz-index:1;\n}\n#_idContainer479 {\n\t-ms-transform:translate(12.842px,3.968px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(12.842px,3.968px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(12.842px,3.968px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(12.842px,3.968px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:6.67px;\n\tz-index:2;\n}\n#_idContainer480 {\n\t-ms-transform:translate(18.984px,6.236px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(18.984px,6.236px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:30.18px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(18.984px,6.236px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(18.984px,6.236px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:30.18px;\n\tz-index:1;\n}\n#_idContainer481 {\n\t-ms-transform:translate(0.000px,152.141px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,152.141px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:43.65px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,152.141px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,152.141px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:69.15px;\n\tz-index:2;\n}\n#_idContainer482 {\n\t-ms-transform:translate(4.084px,3.084px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(4.084px,3.084px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:195.80px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(4.084px,3.084px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(4.084px,3.084px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:69.15px;\n\tz-index:1;\n}\n#_idContainer483 {\n\t-ms-transform:translate(445.106px,316.980px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(445.106px,316.980px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:204.31px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(445.106px,316.980px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(445.106px,316.980px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:261.85px;\n\tz-index:11;\n}\n#_idContainer484 {\n\t-ms-transform:translate(95.511px,328.732px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(95.511px,328.732px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:24.37px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(95.511px,328.732px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(95.511px,328.732px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:137.45px;\n\tz-index:15;\n}\n#_idContainer485 {\n\t-ms-transform:translate(0.000px,355.102px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,355.102px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:165.19px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,355.102px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,355.102px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:178.79px;\n\tz-index:8;\n}\n#_idContainer486 {\n\t-ms-transform:translate(238.110px,365.062px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(238.110px,365.062px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:31.75px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(238.110px,365.062px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(238.110px,365.062px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:70.30px;\n\tz-index:27;\n}\n#_idContainer487 {\n\t-ms-transform:translate(271.086px,410.807px) rotate(0.000deg) skew(0.000deg) scale(1.000,-1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(271.086px,410.807px) rotate(0.000deg) skew(0.000deg) scale(1.000,-1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:14.14px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(271.086px,410.807px) rotate(0.000deg) skew(0.000deg) scale(1.000,-1.000);\n\ttransform:translate(271.086px,410.807px) rotate(0.000deg) skew(0.000deg) scale(1.000,-1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:2.00px;\n\tz-index:21;\n}\n#_idContainer488 {\n\t-ms-transform:translate(216.600px,410.064px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(216.600px,410.064px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:60.19px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(216.600px,410.064px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(216.600px,410.064px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:129.17px;\n\tz-index:9;\n}\n#_idContainer489 {\n\t-ms-transform:translate(0.000px,0.000px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:50% 50%;\n\t-webkit-transform:translate(0.000px,0.000px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:50% 50%;\n\tdisplay:inline-block;\n\theight:521px;\n\tposition:relative;\n\ttransform:translate(0.000px,0.000px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:50% 50%;\n\ttransform-origin:50% 50%;\n\twidth:707px;\n}\n#_idContainer490 {\n\t-ms-transform:translate(0.000px,65.480px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,65.480px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:627.20px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,65.480px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,65.480px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:518.74px;\n\tz-index:0;\n}\n#_idContainer491 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{\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-11 {\n\tbackground-color:#fed363;\n\tborder-width:0px;\n}\ndiv._idGenObjectStyleOverride-12 {\n\tbackground-color:#ffffff;\n\tborder-color:#2e5e7c;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-13 {\n\tborder-width:0px;\n}\ndiv._idGenObjectStyleOverride-14 {\n\tbackground-color:#2e5e7c;\n\tborder-width:0px;\n}\ndiv._idGenObjectStyleOverride-15 {\n\tbackground-color:#f5f7fa;\n\tborder-color:#99b0c4;\n\tborder-style:solid;\n\tborder-width:3px;\n}\ndiv._idGenObjectStyleOverride-16 {\n\tbackground-color:#81c5e2;\n\tborder-color:#2e5e7c;\n\tborder-style:dotted;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-17 {\n\tbackground-color:#3f6a87;\n\tborder-bottom-left-radius:3px;\n\tborder-bottom-right-radius:3px;\n\tborder-top-left-radius:3px;\n\tborder-top-right-radius:3px;\n}\ndiv._idGenObjectStyleOverride-18 {\n\tborder-color:#00aeef;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-19 {\n\tbackground-color:#ebeff4;\n\tborder-color:#99b0c4;\n\tborder-style:solid;\n\tborder-width:3px;\n}\ndiv._idGenObjectStyleOverride-20 {\n\tbackground-color:#ffffff;\n\tborder-color:#3f6a87;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-21 {\n\tbackground-color:#3f6a87;\n\tborder-bottom-left-radius:4px;\n\tborder-bottom-right-radius:4px;\n\tborder-top-left-radius:4px;\n\tborder-top-right-radius:4px;\n\tborder-width:0px;\n}\ndiv._idGenObjectStyleOverride-22 {\n\tbackground-color:#009fc3;\n\tborder-style:dotted;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-23 {\n\tbackground-color:#eaf4e7;\n\tborder-bottom-left-radius:3px;\n\tborder-bottom-right-radius:3px;\n\tborder-color:#39b54a;\n\tborder-style:dashed;\n\tborder-top-left-radius:3px;\n\tborder-top-right-radius:3px;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-24 {\n\tbackground-color:#fde9f1;\n\tborder-bottom-left-radius:3px;\n\tborder-bottom-right-radius:3px;\n\tborder-color:#ec008c;\n\tborder-style:dashed;\n\tborder-top-left-radius:3px;\n\tborder-top-right-radius:3px;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-25 {\n\tborder-bottom-left-radius:3px;\n\tborder-bottom-right-radius:3px;\n\tborder-color:#ec008c;\n\tborder-top-left-radius:3px;\n\tborder-top-right-radius:3px;\n}\ndiv._idGenObjectStyleOverride-26 {\n\tbackground-color:#ec008c;\n\tborder-bottom-left-radius:12px;\n\tborder-bottom-right-radius:12px;\n\tborder-top-left-radius:12px;\n\tborder-top-right-radius:12px;\n}\ndiv._idGenObjectStyleOverride-27 {\n\tborder-bottom-left-radius:85px;\n\tborder-bottom-right-radius:85px;\n\tborder-color:#ec008c;\n\tborder-top-left-radius:85px;\n\tborder-top-right-radius:85px;\n}\ndiv._idGenObjectStyleOverride-28 {\n\tbackground-color:#39b54a;\n\tborder-bottom-left-radius:12px;\n\tborder-bottom-right-radius:12px;\n\tborder-top-left-radius:12px;\n\tborder-top-right-radius:12px;\n}\ndiv._idGenObjectStyleOverride-29 {\n\tborder-bottom-left-radius:3px;\n\tborder-bottom-right-radius:3px;\n\tborder-color:#39b54a;\n\tborder-top-left-radius:3px;\n\tborder-top-right-radius:3px;\n}\ndiv._idGenObjectStyleOverride-30 {\n\tborder-bottom-left-radius:6px;\n\tborder-bottom-right-radius:6px;\n\tborder-color:#39b54a;\n\tborder-top-left-radius:6px;\n\tborder-top-right-radius:6px;\n}\ndiv._idGenObjectStyleOverride-31 {\n\tbackground-color:#008bbf;\n\tborder-bottom-left-radius:12px;\n\tborder-bottom-right-radius:12px;\n\tborder-top-left-radius:12px;\n\tborder-top-right-radius:12px;\n}\ndiv._idGenObjectStyleOverride-32 {\n\tborder-bottom-left-radius:3px;\n\tborder-bottom-right-radius:3px;\n\tborder-color:#008bbf;\n\tborder-top-left-radius:3px;\n\tborder-top-right-radius:3px;\n}\ndiv._idGenObjectStyleOverride-33 {\n\tbackground-color:#daecf6;\n\tborder-bottom-left-radius:3px;\n\tborder-bottom-right-radius:3px;\n\tborder-color:#00aeef;\n\tborder-style:dashed;\n\tborder-top-left-radius:3px;\n\tborder-top-right-radius:3px;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-34 {\n\tbackground-color:#2e5e7c;\n\tborder-bottom-left-radius:9px;\n\tborder-bottom-right-radius:9px;\n\tborder-top-left-radius:9px;\n\tborder-top-right-radius:9px;\n}\ndiv._idGenObjectStyleOverride-35 {\n\tborder-style:double;\n}\ndiv._idGenObjectStyleOverride-36 {\n\tbackground-color:#00aeef;\n\tborder-bottom-left-radius:12px;\n\tborder-bottom-right-radius:12px;\n\tborder-top-left-radius:12px;\n\tborder-top-right-radius:12px;\n}\ndiv._idGenObjectStyleOverride-37 {\n\tborder-bottom-left-radius:3px;\n\tborder-bottom-right-radius:3px;\n\tborder-color:#00aeef;\n\tborder-top-left-radius:3px;\n\tborder-top-right-radius:3px;\n}\ndiv._idGenObjectStyleOverride-38 {\n\tborder-bottom-left-radius:6px;\n\tborder-bottom-right-radius:6px;\n\tborder-color:#00aeef;\n\tborder-top-left-radius:6px;\n\tborder-top-right-radius:6px;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-39 {\n\tborder-color:#f2684d;\n}\ndiv._idGenObjectStyleOverride-40 {\n\tbackground-color:#e1f4fd;\n\tborder-bottom-left-radius:3px;\n\tborder-bottom-right-radius:3px;\n\tborder-color:#00aeef;\n\tborder-style:dashed;\n\tborder-top-left-radius:3px;\n\tborder-top-right-radius:3px;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-41 {\n\tborder-bottom-left-radius:3px;\n\tborder-bottom-right-radius:3px;\n\tborder-color:#bd202e;\n\tborder-top-left-radius:3px;\n\tborder-top-right-radius:3px;\n}\ndiv._idGenObjectStyleOverride-42 {\n\tbackground-color:#bd202e;\n\tborder-bottom-left-radius:12px;\n\tborder-bottom-right-radius:12px;\n\tborder-top-left-radius:12px;\n\tborder-top-right-radius:12px;\n}\ndiv._idGenObjectStyleOverride-43 {\n\tbackground-color:#f2684d;\n\tborder-bottom-left-radius:12px;\n\tborder-bottom-right-radius:12px;\n\tborder-top-left-radius:12px;\n\tborder-top-right-radius:12px;\n}\ndiv._idGenObjectStyleOverride-44 {\n\tbackground-color:#f4e2db;\n\tborder-bottom-left-radius:3px;\n\tborder-bottom-right-radius:3px;\n\tborder-color:#bd202e;\n\tborder-style:dashed;\n\tborder-top-left-radius:3px;\n\tborder-top-right-radius:3px;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-45 {\n\tbackground-color:#ffffff;\n\tborder-color:#00aeef;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-46 {\n\tbackground-color:#abe1fa;\n\tborder-color:#00aeef;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-47 {\n\tborder-bottom-left-radius:3px;\n\tborder-bottom-right-radius:3px;\n\tborder-color:#f2684d;\n\tborder-top-left-radius:3px;\n\tborder-top-right-radius:3px;\n}\ndiv._idGenObjectStyleOverride-48 {\n\tbackground-color:#feede4;\n\tborder-bottom-left-radius:3px;\n\tborder-bottom-right-radius:3px;\n\tborder-color:#f2684d;\n\tborder-style:dashed;\n\tborder-top-left-radius:3px;\n\tborder-top-right-radius:3px;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-49 {\n\tbackground-color:#ec008c;\n\tborder-width:0px;\n}\ndiv._idGenObjectStyle-Disabled {\n\tbackground-color:transparent;\n\tborder-width:0px;\n}\ndiv._idGenObjectLayout-1 {\n\ttext-align:center;\n}\ndiv._idGenObjectLayout-2 {\n\tmargin:93px -93px 93px -93px;\n}\n"
}