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# OAU Post UTME Mock Test (GMP and Aptitude)

## OAU Post UTME Mock Test (GMP and Aptitude)

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missing"},"timer_limit":50,"question_list":{"432":{"question_id":"432","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:2:\"57\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:2:\"47\";i:1;d:0;i:2;i:1;}i:2;a:3:{i:0;s:2:\"50\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:2:\"74\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"<div id=\"eans\" class=\"padmag2\">TIME\u00a0=20+9+13+5=47.<\/div>\n<div class=\"line\">\u00a0<\/div>","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:86:\"If the alphabets(A) to (Z) are number 1 to 26 respectively, what is the value of 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seconds\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"<span id=\"MathJax-Element-10-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 17.1px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #fafafa;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mi>T<\/mi><mo>=<\/mo><mn>2<\/mn><mi mathvariant="normal">Π<\/mi><msqrt><mfrac><mi>L<\/mi><mi>g<\/mi><\/mfrac><\/msqrt><\/math>\"><span id=\"MJXc-Node-38\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-39\" class=\"mjx-mrow\"><span id=\"MJXc-Node-40\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">T<\/span><\/span><span id=\"MJXc-Node-41\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-42\" class=\"mjx-mn MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><span id=\"MJXc-Node-43\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-main-R\">\u03a0<\/span><\/span><span id=\"MJXc-Node-44\" class=\"mjx-msqrt\"><span class=\"mjx-box\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-size2-R\">\u221a<\/span><\/span><span id=\"MJXc-Node-45\" class=\"mjx-mrow\"><span id=\"MJXc-Node-46\" class=\"mjx-mfrac\"><span class=\"mjx-box MJXc-stacked\"><span class=\"mjx-numerator\"><span id=\"MJXc-Node-47\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">L\/<\/span><\/span><\/span><span class=\"mjx-denominator\"><span id=\"MJXc-Node-48\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">g\u00a0<br \/><br \/><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0\u00a0<br \/><br \/><span id=\"MathJax-Element-11-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 17.1px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #fafafa;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mfrac><msubsup><mi>T<\/mi><mrow class="MJX-TeXAtom-ORD"><mn>1<\/mn><\/mrow><mrow class="MJX-TeXAtom-ORD"><mn>2<\/mn><\/mrow><\/msubsup><msubsup><mi>T<\/mi><mrow class="MJX-TeXAtom-ORD"><mn>2<\/mn><\/mrow><mrow class="MJX-TeXAtom-ORD"><mn>2<\/mn><\/mrow><\/msubsup><\/mfrac><mo>=<\/mo><mfrac><msub><mi>L<\/mi><mrow class="MJX-TeXAtom-ORD"><mn>1<\/mn><\/mrow><\/msub><msub><mi>L<\/mi><mrow class="MJX-TeXAtom-ORD"><mn>2<\/mn><\/mrow><\/msub><\/mfrac><\/math>\"><span id=\"MJXc-Node-49\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-50\" class=\"mjx-mrow\"><span id=\"MJXc-Node-51\" class=\"mjx-mfrac\"><span class=\"mjx-box MJXc-stacked\"><span class=\"mjx-numerator\"><span id=\"MJXc-Node-52\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-53\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">T<\/span><\/span><\/span><span class=\"mjx-stack\"><span class=\"mjx-sub\"><span id=\"MJXc-Node-54\" class=\"mjx-texatom\"><span id=\"MJXc-Node-55\" class=\"mjx-mrow\"><span id=\"MJXc-Node-56\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">1<span class=\"mjx-denominator\"><span id=\"MJXc-Node-60\" class=\"mjx-msubsup\"><span class=\"mjx-sup\"><span id=\"MJXc-Node-65\" class=\"mjx-texatom\"><span id=\"MJXc-Node-66\" class=\"mjx-mrow\"><span id=\"MJXc-Node-67\" class=\"mjx-mn\">\u00b2<\/span><\/span><\/span><\/span><\/span><\/span>\/<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mjx-denominator\"><span id=\"MJXc-Node-60\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-61\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">T<\/span><\/span><\/span><span class=\"mjx-stack\"><span class=\"mjx-sup\"><span id=\"MJXc-Node-65\" class=\"mjx-texatom\"><span id=\"MJXc-Node-66\" class=\"mjx-mrow\"><span id=\"MJXc-Node-67\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">2\u00b2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-68\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-69\" class=\"mjx-mfrac MJXc-space3\"><span class=\"mjx-box MJXc-stacked\"><span class=\"mjx-numerator\"><span id=\"MJXc-Node-70\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-71\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">L<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-72\" class=\"mjx-texatom\"><span id=\"MJXc-Node-73\" class=\"mjx-mrow\"><span id=\"MJXc-Node-74\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">1\/<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mjx-denominator\"><span id=\"MJXc-Node-75\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-76\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">L<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-77\" class=\"mjx-texatom\"><span id=\"MJXc-Node-78\" class=\"mjx-mrow\"><span id=\"MJXc-Node-79\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">2\u00a0 \u00a0<br \/><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0\u00a0<br \/><br \/><span id=\"MathJax-Element-12-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 17.1px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #fafafa;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mfrac><mrow><mo stretchy="false">(<\/mo><mn>0.5<\/mn><mi mathvariant="normal">Π<\/mi><msup><mo 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id=\"MJXc-Node-92\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-93\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-94\" class=\"mjx-mfrac MJXc-space3\"><span class=\"mjx-box MJXc-stacked\"><span class=\"mjx-numerator\"><span id=\"MJXc-Node-95\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">L\/<\/span><\/span><\/span><span class=\"mjx-denominator\"><span id=\"MJXc-Node-96\" class=\"mjx-mrow\"><span id=\"MJXc-Node-97\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">4<\/span><\/span><span id=\"MJXc-Node-98\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">L\u00a0 \u00a0<br \/><br \/><br \/><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0\u00a0<br \/><br \/><span id=\"MathJax-Element-13-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 17.1px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #fafafa;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mi>X<\/mi><mo>=<\/mo><mn>2<\/mn><mo>×<\/mo><mn>0.5<\/mn><mi mathvariant="normal">Π<\/mi><mo>=<\/mo><mi mathvariant="normal">Π<\/mi><\/math>\"><span id=\"MJXc-Node-99\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-100\" class=\"mjx-mrow\"><span id=\"MJXc-Node-101\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">X<\/span><\/span><span id=\"MJXc-Node-102\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-103\" class=\"mjx-mn MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><span id=\"MJXc-Node-104\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">\u00d71\/2<span id=\"MathJax-Element-12-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 17.1px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #fafafa;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mfrac><mrow><mo stretchy="false">(<\/mo><mn>0.5<\/mn><mi mathvariant="normal">Π<\/mi><msup><mo 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class=\"mjx-mn\">\u03c0<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:139:\"When the length of the string of a simple pendulum is L its period is 0.5\u03c0 seconds. The period when the length is increased to 4L will be?\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["0.5\u03c0 seconds",0,0],["\u03c0 seconds",0,1],["2\u03c0 seconds",0,0],["4\u03c0 seconds",0,0]]},"434":{"question_id":"434","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:4:\"euro\";i:1;d:0;i:2;i:1;}i:1;a:3:{i:0;s:5:\"rugby\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:6:\"soccer\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:8:\"football\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"Copa is to America while Europe is to Euro","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:47:\"Copa is to America as Europe is to ____________\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"Aptitude","deleted":"0","deleted_question_bank":"0","answers":[["euro",0,1],["rugby",0,0],["soccer",0,0],["football",0,0]]},"408":{"question_id":"408","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:24:\"it has several cataracts\";i:1;d:0;i:2;i:1;}i:1;a:3:{i:0;s:14:\"it is too long\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:15:\"it is to shadow\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:35:\"it flows during the wet season only\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"A cataract is a large, steep waterfall or rapids in a river. The River Nile has several cataracts, which means there are areas along the river where the water flows very fast and is difficult to navigate. This can make it challenging for boats and ships to travel along the river for trade purposes.","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:66:\"The major disadvantage of the River Nile as a trade route is that?\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["it has several cataracts",0,1],["it is too long",0,0],["it is to shadow",0,0],["it flows during the wet season only",0,0]]},"440":{"question_id":"440","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:8:\"Cameroun\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:5:\"Ghana\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:5:\"Niger\";i:1;d:0;i:2;i:1;}i:3;a:3:{i:0;s:4:\"Togo\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:68:\"Nigeria is bounded in the north by which of the following countries?\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["Cameroun",0,0],["Ghana",0,0],["Niger",0,1],["Togo",0,0]]},"426":{"question_id":"426","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:7:\"4.36\u2126\";i:1;d:0;i:2;i:1;}i:1;a:3:{i:0;s:8:\"17.50\u2126\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:7:\"9.90\u2126\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:7:\"6.60\u2126\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"<p><span id=\"MathJax-Element-28-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: normal;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mi>V<\/mi><mo>=<\/mo><mi>I<\/mi><mi>R<\/mi><\/math>\"><span id=\"MJXc-Node-297\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-298\" class=\"mjx-mrow\"><span id=\"MJXc-Node-299\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">V<\/span><\/span><span id=\"MJXc-Node-300\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-301\" class=\"mjx-mi MJXc-space3\"><span class=\"mjx-char MJXc-TeX-math-I\">I<\/span><\/span><span id=\"MJXc-Node-302\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">R<\/span><\/span><\/span><\/span><\/span><\/p>\n<p>The formula for electrical power (P) is given by:<br \/><span id=\"MathJax-Element-29-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: normal;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mi>P<\/mi><mo>=<\/mo><mi>V<\/mi><mi>I<\/mi><\/math>\"><span id=\"MJXc-Node-303\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-304\" class=\"mjx-mrow\"><span id=\"MJXc-Node-305\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">P<\/span><\/span><span id=\"MJXc-Node-306\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-307\" class=\"mjx-mi MJXc-space3\"><span class=\"mjx-char MJXc-TeX-math-I\">V<\/span><\/span><span id=\"MJXc-Node-308\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">I<br \/><br \/><\/span><\/span><\/span><\/span><\/span>\u00a0 \u00a0 <span id=\"MJXc-Node-311\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">I<span id=\"MJXc-Node-312\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-313\" class=\"mjx-mfrac MJXc-space3\"><span class=\"mjx-box MJXc-stacked\"><span class=\"mjx-numerator\"><span id=\"MJXc-Node-314\" class=\"mjx-mi\">P\/<\/span><\/span><span class=\"mjx-denominator\"><span id=\"MJXc-Node-315\" class=\"mjx-mi\">V<br \/><span id=\"MJXc-Node-318\" class=\"mjx-mi\">I<\/span><span id=\"MJXc-Node-319\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-320\" class=\"mjx-mfrac MJXc-space3\"><span class=\"mjx-numerator\"><span id=\"MJXc-Node-321\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">33\/<\/span><\/span><\/span><span id=\"MJXc-Node-322\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">12\u00a0 \u00a0 \u00a0<span id=\"MJXc-Node-325\" class=\"mjx-mi\">I<\/span><span id=\"MJXc-Node-326\" class=\"mjx-mo MJXc-space3\">\u2248<\/span><span id=\"MJXc-Node-327\" class=\"mjx-mn MJXc-space3\">2.75<\/span><span id=\"MJXc-Node-328\" class=\"mjx-mspace\"><\/span><span id=\"MJXc-Node-329\" class=\"mjx-mi\">A<br \/><span id=\"MJXc-Node-332\" class=\"mjx-mi\">R<\/span><span id=\"MJXc-Node-333\" class=\"mjx-mo MJXc-space3\">=<\/span><span id=\"MJXc-Node-334\" class=\"mjx-mfrac MJXc-space3\"><span class=\"mjx-numerator\"><span id=\"MJXc-Node-335\" class=\"mjx-mi\">V\/<\/span><\/span><span id=\"MJXc-Node-336\" class=\"mjx-mi\">I<\/span><\/span><\/span><br \/><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-339\" class=\"mjx-mi\">R<\/span><span id=\"MJXc-Node-340\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-341\" class=\"mjx-mfrac MJXc-space3\"><span class=\"mjx-box MJXc-stacked\"><span class=\"mjx-numerator\"><span id=\"MJXc-Node-342\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">12\/<\/span><\/span><\/span><span class=\"mjx-denominator\"><span id=\"MJXc-Node-343\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">2.75\u00a0 \u00a0 \u00a0 \u00a0 <span id=\"MJXc-Node-346\" class=\"mjx-mi\">R<\/span><span id=\"MJXc-Node-347\" class=\"mjx-mo MJXc-space3\">\u2248<\/span><span id=\"MJXc-Node-348\" class=\"mjx-mn MJXc-space3\">4.36<\/span><span id=\"MJXc-Node-349\" class=\"mjx-mspace\"><\/span><span id=\"MJXc-Node-350\" class=\"mjx-mi\">\u03a9<\/span><\/span><\/span><\/span><\/span><\/span>\u00a0<\/span><\/span><br \/><span id=\"MathJax-Element-29-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: normal;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mi>P<\/mi><mo>=<\/mo><mi>V<\/mi><mi>I<\/mi><\/math>\"><span id=\"MJXc-Node-303\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-304\" class=\"mjx-mrow\"><span id=\"MJXc-Node-308\" class=\"mjx-mi\"><\/span><\/span><\/span><\/span><\/p>","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:178:\"A cigarette lighter in a car is a resistor that, when activated, is connected across the 12-V battery. If the lighter dissipates 33W of power, find the resistance of the lighter.\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["4.36\u2126",0,1],["17.50\u2126",0,0],["9.90\u2126",0,0],["6.60\u2126",0,0]]},"406":{"question_id":"406","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:26:\"On the deep seas platforms\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:26:\"On the continental shelves\";i:1;d:0;i:2;i:1;}i:2;a:3:{i:0;s:15:\"In oceanic deep\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:18:\"In river estuaries\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"The continental shelves are areas of the ocean that extend from the continents and are relatively shallow. They are rich in marine life and are known to be productive fishing grounds. Many fish species thrive in these areas due to the abundance of nutrients and sunlight.","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:46:\"The world\u2019s richest fishing ground are found\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["On the deep seas platforms",0,0],["On the continental shelves",0,1],["In oceanic deep",0,0],["In river estuaries",0,0]]},"437":{"question_id":"437","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:13:\"African Union\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:27:\"United Nations Organisation\";i:1;d:0;i:2;i:1;}i:2;a:3:{i:0;s:14:\"European Union\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:43:\"Economic Communities of West African states\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"The Universal Declaration of Human Rights (UDHR) is a historic document that was adopted by the United Nations General Assembly at its third session on 10 December 1948 as Resolution 217 at the Palais de Chaillot in Paris, France.","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:64:\"The universal declaration of human rights (UDHR) was adopted by?\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["African Union",0,0],["United Nations Organisation",0,1],["European Union",0,0],["Economic Communities of West African states",0,0]]},"419":{"question_id":"419","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:11:\"y=(178+x)\/3\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:11:\"y=(x-178)\/3\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:11:\"y=(178-x)\/3\";i:1;d:0;i:2;i:1;}i:3;a:3:{i:0;s:12:\"y=-(178+x)\/3\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"cos (1+\u00bdx) = sin (3\/2y) = cos (90 - 3\/2y)<br \/>=> 1+ \u00bdx = 90- 3\/2y<br \/>=> 2+x = 180-3y<br \/>=> 3y = 178-x<br \/>=> y = (178-x)\/3","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:92:\"Noting that cos\u03b1 = sin(90-\u03b1), find y in term of x in the equation cos (1+\u00bdx) = sin (3\/2y)\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"Mathematics","deleted":"0","deleted_question_bank":"0","answers":[["y=(178+x)\/3",0,0],["y=(x-178)\/3",0,0],["y=(178-x)\/3",0,1],["y=-(178+x)\/3",0,0]]},"430":{"question_id":"430","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:60:\"total energy is equal to the maximum value of kinetic energy\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:20:\"total energy is zero\";i:1;d:0;i:2;i:1;}i:2;a:3:{i:0;s:70:\"total energy is the sum of the kinetic energy and the potential energy\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:62:\"total energy is equal to the maximum value of potential energy\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:99:\"Which of the following is not true about the mechanical energy of a system in a conservative field?\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"Physics","deleted":"0","deleted_question_bank":"0","answers":[["total energy is equal to the maximum value of kinetic energy",0,0],["total energy is zero",0,1],["total energy is the sum of the kinetic energy and the potential energy",0,0],["total energy is equal to the maximum value of potential energy",0,0]]},"416":{"question_id":"416","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:3:\"1,6\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:5:\"-1,-6\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:4:\"6,-1\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:4:\"-6,1\";i:1;d:0;i:2;i:1;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"<span id=\"MathJax-Element-98-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mn>4<\/mn><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mn>20<\/mn><mi>x<\/mi><mo>−<\/mo><mn>24<\/mn><mo>=<\/mo><mn>0<\/mn><\/math>\"><span id=\"MJXc-Node-1521\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-1522\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1523\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">4<\/span><\/span><span id=\"MJXc-Node-1524\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-1525\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">x\u00b2<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-1527\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-1528\" class=\"mjx-mn MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">20<\/span><\/span><span id=\"MJXc-Node-1529\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">x<\/span><\/span><span id=\"MJXc-Node-1530\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-1531\" class=\"mjx-mn MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">24<\/span><\/span><span id=\"MJXc-Node-1532\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><\/span><\/span><\/span><br \/>Divide through the equation by 4<br \/><span id=\"MathJax-Element-99-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mn>5<\/mn><mi>x<\/mi><mo>−<\/mo><mn>6<\/mn><mo>=<\/mo><mn>0<\/mn><\/math>\"><span id=\"MJXc-Node-1534\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-1535\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1536\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-1537\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">x<span id=\"MathJax-Element-98-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mn>4<\/mn><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mn>20<\/mn><mi>x<\/mi><mo>−<\/mo><mn>24<\/mn><mo>=<\/mo><mn>0<\/mn><\/math>\"><span id=\"MJXc-Node-1521\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-1522\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1524\" class=\"mjx-msubsup\"><span id=\"MJXc-Node-1525\" class=\"mjx-mi\">\u00b2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-1539\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-1540\" class=\"mjx-mn MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">5<\/span><\/span><span id=\"MJXc-Node-1541\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">x<\/span><\/span><span id=\"MJXc-Node-1542\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-1543\" class=\"mjx-mn MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">6<\/span><\/span><span id=\"MJXc-Node-1544\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-1545\" class=\"mjx-mn MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">0<\/span><\/span><\/span><\/span><\/span><br \/><span id=\"MathJax-Element-100-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mrow><mo>(<\/mo><mi>x<\/mi><mo>+<\/mo><mn>6<\/mn><mo>)<\/mo><\/mrow><mrow><mo>(<\/mo><mi>x<\/mi><mo>−<\/mo><mn>1<\/mn><mo>=<\/mo><mn>0<\/mn><mo>)<\/mo><\/mrow><\/math>\"><span id=\"MJXc-Node-1546\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-1547\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1548\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1549\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">(<\/span><\/span><span id=\"MJXc-Node-1550\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">x<\/span><\/span><span id=\"MJXc-Node-1551\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-1552\" class=\"mjx-mn MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">6<\/span><\/span><span id=\"MJXc-Node-1553\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">)<\/span><\/span><\/span><span id=\"MJXc-Node-1554\" class=\"mjx-mrow MJXc-space1\"><span id=\"MJXc-Node-1555\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">(<\/span><\/span><span id=\"MJXc-Node-1556\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">x<\/span><\/span><span id=\"MJXc-Node-1557\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-1558\" class=\"mjx-mn MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><span id=\"MJXc-Node-1559\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-1560\" class=\"mjx-mn MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">0<\/span><\/span><span id=\"MJXc-Node-1561\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">)<\/span><\/span><\/span><\/span><\/span><\/span><br \/><span id=\"MathJax-Element-101-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mi>x<\/mi><mo>=<\/mo><mo>−<\/mo><mn>6<\/mn><\/math>\"><span id=\"MJXc-Node-1562\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-1563\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1564\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">x<\/span><\/span><span id=\"MJXc-Node-1565\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-1566\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-1567\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">6<\/span><\/span><\/span><\/span><\/span>\u00a0or\u00a0<span id=\"MathJax-Element-102-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mn>1<\/mn><\/math>\"><span id=\"MJXc-Node-1568\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-1569\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1570\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><\/span><\/span><\/span>","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:25:\"Solve 4x\u00b2+20x \u2212 24 = 0\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["1,6",0,0],["-1,-6",0,0],["6,-1",0,0],["-6,1",0,1]]},"418":{"question_id":"418","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:2:\"12\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:2:\"10\";i:1;d:0;i:2;i:1;}i:2;a:3:{i:0;s:1:\"9\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:2:\"11\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"The distance\u00a0<span id=\"MathJax-Element-1-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mo stretchy="false">(<\/mo><mi>d<\/mi><mo stretchy="false">)<\/mo><\/math>\"><span id=\"MJXc-Node-1\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-2\" class=\"mjx-mrow\"><span id=\"MJXc-Node-3\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">(<\/span><\/span><span id=\"MJXc-Node-4\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">d<\/span><\/span><span id=\"MJXc-Node-5\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">) <\/span><\/span><\/span><\/span><\/span>\u00a0between two points\u00a0<span id=\"MathJax-Element-2-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mo stretchy="false">(<\/mo><msub><mi>x<\/mi><mn>1<\/mn><\/msub><msub><mi>y<\/mi><mn>1<\/mn><\/msub><mo stretchy="false">)<\/mo><\/math>\"><span id=\"MJXc-Node-6\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-7\" class=\"mjx-mrow\"><span id=\"MJXc-Node-8\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">(<\/span><\/span><span id=\"MJXc-Node-9\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-10\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">x<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-11\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-12\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-13\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">y<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-14\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-15\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">)<\/span><\/span><\/span><\/span><\/span>\u00a0is given as:<br \/><span id=\"MathJax-Element-3-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mi>d<\/mi><mo>=<\/mo><msqrt><mo stretchy="false">(<\/mo><msub><mi>x<\/mi><mn>2<\/mn><\/msub><mo>−<\/mo><msub><mi>x<\/mi><mn>1<\/mn><\/msub><msup><mo stretchy="false">)<\/mo><mn>2<\/mn><\/msup><mo>+<\/mo><mo stretchy="false">(<\/mo><msub><mi>y<\/mi><mn>2<\/mn><\/msub><mo>−<\/mo><msub><mi>y<\/mi><mn>1<\/mn><\/msub><msup><mo stretchy="false">)<\/mo><mn>2<\/mn><\/msup><\/msqrt><\/math>\"><span id=\"MJXc-Node-16\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-17\" class=\"mjx-mrow\"><span id=\"MJXc-Node-18\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">d<\/span><\/span><span id=\"MJXc-Node-19\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-20\" class=\"mjx-msqrt MJXc-space3\"><span class=\"mjx-box\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-size1-R\">\u221a<\/span><\/span><span id=\"MJXc-Node-21\" class=\"mjx-mrow\"><span id=\"MJXc-Node-22\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">(<\/span><\/span><span id=\"MJXc-Node-23\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-24\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">x<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-25\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-26\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-27\" class=\"mjx-msubsup MJXc-space2\"><span class=\"mjx-base\"><span id=\"MJXc-Node-28\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">x<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-29\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-30\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-31\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">)\u00b2<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-33\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-34\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">(<\/span><\/span><span id=\"MJXc-Node-35\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-36\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">y<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-37\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-38\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-39\" class=\"mjx-msubsup MJXc-space2\"><span class=\"mjx-base\"><span id=\"MJXc-Node-40\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">y<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-41\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-42\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-43\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">)\u00b2\u00a0<br \/><br \/><br \/><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0\u00a0<br \/><br \/>For the points\u00a0<span id=\"MathJax-Element-4-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mo stretchy="false">(<\/mo><mo>−<\/mo><mn>1<\/mn><mo>,<\/mo><mn>5<\/mn><mo stretchy="false">)<\/mo><\/math>\"><span id=\"MJXc-Node-45\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-46\" class=\"mjx-mrow\"><span id=\"MJXc-Node-47\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">(<\/span><\/span><span id=\"MJXc-Node-48\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-49\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><span id=\"MJXc-Node-50\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">,<\/span><\/span><span id=\"MJXc-Node-51\" class=\"mjx-mn MJXc-space1\"><span class=\"mjx-char MJXc-TeX-main-R\">5<\/span><\/span><span id=\"MJXc-Node-52\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">)<\/span><\/span><\/span><\/span><\/span> and\u00a0<span id=\"MathJax-Element-5-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mo stretchy="false">(<\/mo><mo>−<\/mo><mn>7<\/mn><mo>,<\/mo><mo>−<\/mo><mn>3<\/mn><mo stretchy="false">)<\/mo><\/math>\"><span class=\"MJX_Assistive_MathML\" role=\"presentation\">(\u22127,\u22123)<\/span><\/span><br \/><span id=\"MathJax-Element-6-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><msub><mi>x<\/mi><mn>1<\/mn><\/msub><mo>=<\/mo><mo>−<\/mo><mn>1<\/mn><mo>,<\/mo><msub><mi>y<\/mi><mn>1<\/mn><\/msub><mo>=<\/mo><mn>5<\/mn><mo>,<\/mo><msub><mi>x<\/mi><mn>2<\/mn><\/msub><mo>=<\/mo><mo>−<\/mo><mn>7<\/mn><\/math>\"><span id=\"MJXc-Node-62\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-63\" class=\"mjx-mrow\"><span id=\"MJXc-Node-64\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-65\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">x<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-66\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-67\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-68\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-69\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><span id=\"MJXc-Node-70\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">,<\/span><\/span><span id=\"MJXc-Node-71\" class=\"mjx-msubsup MJXc-space1\"><span class=\"mjx-base\"><span id=\"MJXc-Node-72\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">y<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-73\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-74\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-75\" class=\"mjx-mn MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">5<\/span><\/span><span id=\"MJXc-Node-76\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">,<\/span><\/span><span id=\"MJXc-Node-77\" class=\"mjx-msubsup MJXc-space1\"><span class=\"mjx-base\"><span id=\"MJXc-Node-78\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">x<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-79\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-80\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-81\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-82\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">7<\/span><\/span><\/span><\/span><\/span>\u00a0and\u00a0<span id=\"MathJax-Element-7-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><msub><mi>y<\/mi><mn>2<\/mn><\/msub><mo>=<\/mo><mo>−<\/mo><mn>3<\/mn><\/math>\"><span id=\"MJXc-Node-83\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-84\" class=\"mjx-mrow\"><span id=\"MJXc-Node-85\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-86\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">y<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-87\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">2=3<br \/><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0\u00a0<br \/><br \/><span id=\"MathJax-Element-8-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mi>d<\/mi><mo>=<\/mo><msqrt><mo stretchy="false">[<\/mo><mo>−<\/mo><mn>7<\/mn><mo>−<\/mo><mo stretchy="false">(<\/mo><mo>−<\/mo><mn>1<\/mn><mo stretchy="false">)<\/mo><msup><mo stretchy="false">]<\/mo><mn>2<\/mn><\/msup><mo>+<\/mo><mo stretchy="false">[<\/mo><mo>−<\/mo><mn>3<\/mn><mo>−<\/mo><mn>5<\/mn><msup><mo stretchy="false">]<\/mo><mn>2<\/mn><\/msup><\/msqrt><\/math>\"><span id=\"MJXc-Node-91\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-92\" class=\"mjx-mrow\"><span id=\"MJXc-Node-93\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">d<\/span><\/span><span id=\"MJXc-Node-94\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-95\" class=\"mjx-msqrt MJXc-space3\"><span class=\"mjx-box\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-size1-R\">\u221a<\/span><\/span><span id=\"MJXc-Node-96\" class=\"mjx-mrow\"><span id=\"MJXc-Node-97\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">[<\/span><\/span><span id=\"MJXc-Node-98\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-99\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">7<\/span><\/span><span id=\"MJXc-Node-100\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-101\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">(<\/span><\/span><span id=\"MJXc-Node-102\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-103\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><span id=\"MJXc-Node-104\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">)<\/span><\/span><span id=\"MJXc-Node-105\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-106\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">]\u00b2<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-108\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-109\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">[<\/span><\/span><span id=\"MJXc-Node-110\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-111\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">3<\/span><\/span><span id=\"MJXc-Node-112\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-113\" class=\"mjx-mn MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">5<\/span><\/span><span id=\"MJXc-Node-114\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-115\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">]\u00b2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br \/><span id=\"MathJax-Element-9-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mo>=<\/mo><msqrt><mo stretchy="false">(<\/mo><mo>−<\/mo><mn>7<\/mn><mo>+<\/mo><mn>1<\/mn><msup><mo stretchy="false">)<\/mo><mn>2<\/mn><\/msup><mo>+<\/mo><mo stretchy="false">(<\/mo><mo>−<\/mo><mn>8<\/mn><msup><mo stretchy="false">)<\/mo><mn>2<\/mn><\/msup><\/msqrt><\/math>\"><span id=\"MJXc-Node-117\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-118\" class=\"mjx-mrow\"><span id=\"MJXc-Node-119\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-120\" class=\"mjx-msqrt MJXc-space3\"><span class=\"mjx-box\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-size1-R\">\u221a<\/span><\/span><span id=\"MJXc-Node-121\" class=\"mjx-mrow\"><span id=\"MJXc-Node-122\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">(<\/span><\/span><span id=\"MJXc-Node-123\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-124\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">7<\/span><\/span><span id=\"MJXc-Node-125\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-126\" class=\"mjx-mn MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><span id=\"MJXc-Node-127\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-128\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">)<span id=\"MJXc-Node-134\" class=\"mjx-msubsup\"><span id=\"MJXc-Node-135\" class=\"mjx-mo\">\u00b2<\/span><\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-130\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-131\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">(<\/span><\/span><span id=\"MJXc-Node-132\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-133\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">8<\/span><\/span><span id=\"MJXc-Node-134\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-135\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">)\u00b2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br \/><span id=\"MathJax-Element-10-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mo>=<\/mo><msqrt><mo stretchy="false">(<\/mo><mo>−<\/mo><mn>6<\/mn><msup><mo stretchy="false">)<\/mo><mn>2<\/mn><\/msup><mo>+<\/mo><mo stretchy="false">(<\/mo><mo>−<\/mo><mn>8<\/mn><msup><mo stretchy="false">)<\/mo><mn>2<\/mn><\/msup><\/msqrt><\/math>\"><span id=\"MJXc-Node-137\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-138\" class=\"mjx-mrow\"><span id=\"MJXc-Node-139\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-140\" class=\"mjx-msqrt MJXc-space3\"><span class=\"mjx-box\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-size1-R\">\u221a<\/span><\/span><span id=\"MJXc-Node-141\" class=\"mjx-mrow\"><span id=\"MJXc-Node-142\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">(<\/span><\/span><span id=\"MJXc-Node-143\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-144\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">6<\/span><\/span><span id=\"MJXc-Node-145\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-146\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">)<span id=\"MathJax-Element-9-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mo>=<\/mo><msqrt><mo stretchy="false">(<\/mo><mo>−<\/mo><mn>7<\/mn><mo>+<\/mo><mn>1<\/mn><msup><mo stretchy="false">)<\/mo><mn>2<\/mn><\/msup><mo>+<\/mo><mo stretchy="false">(<\/mo><mo>−<\/mo><mn>8<\/mn><msup><mo stretchy="false">)<\/mo><mn>2<\/mn><\/msup><\/msqrt><\/math>\"><span id=\"MJXc-Node-117\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-118\" class=\"mjx-mrow\"><span id=\"MJXc-Node-120\" class=\"mjx-msqrt MJXc-space3\"><span id=\"MJXc-Node-121\" class=\"mjx-mrow\"><span id=\"MJXc-Node-134\" class=\"mjx-msubsup\"><span id=\"MJXc-Node-135\" class=\"mjx-mo\">\u00b2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-148\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-149\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">(<\/span><\/span><span id=\"MJXc-Node-150\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-151\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">8<\/span><\/span><span id=\"MJXc-Node-152\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-153\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">)<span id=\"MathJax-Element-9-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mo>=<\/mo><msqrt><mo stretchy="false">(<\/mo><mo>−<\/mo><mn>7<\/mn><mo>+<\/mo><mn>1<\/mn><msup><mo stretchy="false">)<\/mo><mn>2<\/mn><\/msup><mo>+<\/mo><mo stretchy="false">(<\/mo><mo>−<\/mo><mn>8<\/mn><msup><mo stretchy="false">)<\/mo><mn>2<\/mn><\/msup><\/msqrt><\/math>\"><span id=\"MJXc-Node-117\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-118\" class=\"mjx-mrow\"><span id=\"MJXc-Node-120\" class=\"mjx-msqrt MJXc-space3\"><span id=\"MJXc-Node-121\" class=\"mjx-mrow\"><span id=\"MJXc-Node-134\" class=\"mjx-msubsup\"><span id=\"MJXc-Node-135\" class=\"mjx-mo\">\u00b2<br \/><br \/><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span id=\"MathJax-Element-11-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mo>=<\/mo><msqrt><mn>36<\/mn><mo>+<\/mo><mn>64<\/mn><\/msqrt><mo>=<\/mo><msqrt><mn>100<\/mn><\/msqrt><mo>=<\/mo><mn>10<\/mn><\/math>\"><span id=\"MJXc-Node-155\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-156\" class=\"mjx-mrow\"><span id=\"MJXc-Node-157\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">\u00a0<br \/>\u00a0 <br \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<br \/>\u00a0 \u00a0 \u00a0 \u00a0 <br \/><br \/><br \/><br \/>\u00a0 \u00a0 <br \/>\u00a0 \u00a0 =<\/span><\/span><span id=\"MJXc-Node-158\" class=\"mjx-msqrt MJXc-space3\"><span class=\"mjx-box\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-main-R\">\u221a<\/span><\/span><span id=\"MJXc-Node-159\" class=\"mjx-mrow\"><span id=\"MJXc-Node-160\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">36<\/span><\/span><span id=\"MJXc-Node-161\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-162\" class=\"mjx-mn MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">64<\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-163\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-164\" class=\"mjx-msqrt MJXc-space3\"><span class=\"mjx-box\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-main-R\">\u221a<\/span><\/span><span id=\"MJXc-Node-165\" class=\"mjx-mrow\"><span id=\"MJXc-Node-166\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">100<\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-167\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-168\" class=\"mjx-mn MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">10<\/span><\/span><\/span><\/span><\/span><br \/><span id=\"MathJax-Element-12-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mi>d<\/mi><mo>=<\/mo><mn>10<\/mn><\/math>\"><span id=\"MJXc-Node-169\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-170\" class=\"mjx-mrow\"><span id=\"MJXc-Node-171\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">d<\/span><\/span><span id=\"MJXc-Node-172\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">10<\/span><\/span>\u00a0units","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:61:\"What is the distance between the points (-1, 5) and (-7, -3)?\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["12",0,0],["10",0,1],["9",0,0],["11",0,0]]},"411":{"question_id":"411","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:4:\"32cm\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:5:\"4.8cm\";i:1;d:0;i:2;i:1;}i:2;a:3:{i:0;s:6:\"30\/7cm\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:6:\"40\/7cm\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"Cos Q = r\u00b2+ p\u00b2+q\u00b2\/2rp<br \/><br \/>= 10\u00b2+8\u00b2\u22126\u00b2\/2(10)(8)<br \/><br \/>= 164\u221236\/160<br \/><br \/>= 128\/160<br \/><br \/>= 0.8<br \/>Q = Cos<sup>-1<\/sup>\u00a0o.8<br \/><br \/>= 37<sup>o<\/sup>\u00a0x rep. from rt< RSQ, Let RS = x<br \/><br \/>x\/37 = 8\/90<br \/><br \/>but sin 90<sup>o<\/sup>\u00a0= 1<br \/><br \/>x = 8 sin 37<sup>o<\/sup><br \/><br \/>x = 4.8cm","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:116:\"In Triangle PQR, PQ = 10cm, QR = 8cm and RP = 6cm, the perpendicular RS is drawn from R to PQ. Find the length of RS\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["32cm",0,0],["4.8cm",0,1],["30\/7cm",0,0],["40\/7cm",0,0]]},"424":{"question_id":"424","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:25:\"0.030 ohm series resistor\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:22:\"9.99ohm shunt resistor\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:23:\"0.030ohm shunt resistor\";i:1;d:0;i:2;i:1;}i:3;a:3:{i:0;s:23:\"9.99ohm series resistor\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:92:\"A 0-10mA galvanometer with a coil resistance of can be converted to a 0-10A ammeter by using\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["0.030 ohm series resistor",0,0],["9.99ohm shunt resistor",0,0],["0.030ohm shunt resistor",0,1],["9.99ohm series resistor",0,0]]},"425":{"question_id":"425","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:8:\"pressure\";i:1;d:0;i:2;i:1;}i:1;a:3:{i:0;s:5:\"force\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:6:\"Energy\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:6:\"volume\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:60:\"A hydraulic press works on the principle of transmission of?\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["pressure",0,1],["force",0,0],["Energy",0,0],["volume",0,0]]},"417":{"question_id":"417","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:2:\"66\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:2:\"68\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:2:\"67\";i:1;d:0;i:2;i:1;}i:3;a:3:{i:0;s:2:\"65\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"Determine if the sequence is an A.P or G.P. If the sequence is an A.P:\u00a0<span id=\"MathJax-Element-105-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><msub><mi>T<\/mi><mn>2<\/mn><\/msub><mo>−<\/mo><msub><mi>T<\/mi><mn>1<\/mn><\/msub><mo>=<\/mo><msub><mi>T<\/mi><mn>3<\/mn><\/msub><mo>−<\/mo><msub><mi>T<\/mi><mn>2<\/mn><\/msub><\/math>\"><span id=\"MJXc-Node-1590\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-1591\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1592\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-1593\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">T<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-1594\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-1595\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-1596\" class=\"mjx-msubsup MJXc-space2\"><span class=\"mjx-base\"><span id=\"MJXc-Node-1597\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">T<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-1598\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-1599\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-1600\" class=\"mjx-msubsup MJXc-space3\"><span class=\"mjx-base\"><span id=\"MJXc-Node-1601\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">T<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-1602\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">3<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-1603\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-1604\" class=\"mjx-msubsup MJXc-space2\"><span class=\"mjx-base\"><span id=\"MJXc-Node-1605\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">T<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-1606\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><br \/><span id=\"MathJax-Element-106-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mo>−<\/mo><mn>3<\/mn><mo>,<\/mo><mn>2<\/mn><mo>,<\/mo><mn>7...<\/mn><\/math>\"><span id=\"MJXc-Node-1607\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-1608\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1609\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-1610\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">3<\/span><\/span><span id=\"MJXc-Node-1611\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">,<\/span><\/span><span id=\"MJXc-Node-1612\" class=\"mjx-mn MJXc-space1\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><span id=\"MJXc-Node-1613\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">,<\/span><\/span><span id=\"MJXc-Node-1614\" class=\"mjx-mn MJXc-space1\"><span class=\"mjx-char MJXc-TeX-main-R\">7...<\/span><\/span><\/span><\/span><\/span><br \/>Hence the sequence is an A.P. Note that if the sequence is a G.P:<br \/><span id=\"MathJax-Element-107-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mfrac><mrow><mpadded width="0" height="8.6pt" depth="3pt"><mrow \/><\/mpadded><mstyle displaystyle="false" scriptlevel="0"><mrow class="MJX-TeXAtom-ORD"><msub><mi>T<\/mi><mn>2<\/mn><\/msub><\/mrow><\/mstyle><\/mrow><mrow><mpadded width="0" height="8.6pt" depth="3pt"><mrow \/><\/mpadded><mstyle displaystyle="false" scriptlevel="0"><mrow class="MJX-TeXAtom-ORD"><msub><mi>T<\/mi><mn>1<\/mn><\/msub><\/mrow><\/mstyle><\/mrow><\/mfrac><mo>=<\/mo><mfrac><mrow><mpadded width="0" height="8.6pt" depth="3pt"><mrow \/><\/mpadded><mstyle displaystyle="false" scriptlevel="0"><mrow class="MJX-TeXAtom-ORD"><msub><mi>T<\/mi><mn>3<\/mn><\/msub><\/mrow><\/mstyle><\/mrow><mrow><mpadded width="0" height="8.6pt" depth="3pt"><mrow \/><\/mpadded><mstyle displaystyle="false" scriptlevel="0"><mrow class="MJX-TeXAtom-ORD"><msub><mi>T<\/mi><mn>2<\/mn><\/msub><\/mrow><\/mstyle><\/mrow><\/mfrac><\/math>\"><span id=\"MJXc-Node-1615\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-1616\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1617\" class=\"mjx-mfrac\"><span class=\"mjx-box MJXc-stacked\"><span class=\"mjx-numerator\"><span id=\"MJXc-Node-1618\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1619\" class=\"mjx-mpadded\"><span id=\"MJXc-Node-1620\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1621\" class=\"mjx-mrow\"><\/span><\/span><\/span><span id=\"MJXc-Node-1622\" class=\"mjx-mstyle\"><span id=\"MJXc-Node-1623\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1624\" class=\"mjx-texatom\"><span id=\"MJXc-Node-1625\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1626\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-1627\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">T<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-1628\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">2\/<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mjx-denominator\"><span id=\"MJXc-Node-1629\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1630\" class=\"mjx-mpadded\"><span id=\"MJXc-Node-1631\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1632\" class=\"mjx-mrow\"><\/span><\/span><\/span><span id=\"MJXc-Node-1633\" class=\"mjx-mstyle\"><span id=\"MJXc-Node-1634\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1635\" class=\"mjx-texatom\"><span id=\"MJXc-Node-1636\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1637\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-1638\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">T<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-1639\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-1640\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-1641\" class=\"mjx-mfrac MJXc-space3\"><span class=\"mjx-box MJXc-stacked\"><span class=\"mjx-numerator\"><span id=\"MJXc-Node-1642\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1643\" class=\"mjx-mpadded\"><span id=\"MJXc-Node-1644\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1645\" class=\"mjx-mrow\"><\/span><\/span><\/span><span id=\"MJXc-Node-1646\" class=\"mjx-mstyle\"><span id=\"MJXc-Node-1647\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1648\" class=\"mjx-texatom\"><span id=\"MJXc-Node-1649\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1650\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-1651\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">T<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-1652\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">3\/<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mjx-denominator\"><span id=\"MJXc-Node-1653\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1654\" class=\"mjx-mpadded\"><span id=\"MJXc-Node-1655\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1656\" class=\"mjx-mrow\"><\/span><\/span><\/span><span id=\"MJXc-Node-1657\" class=\"mjx-mstyle\"><span id=\"MJXc-Node-1658\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1659\" class=\"mjx-texatom\"><span id=\"MJXc-Node-1660\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1661\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-1662\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">T<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-1663\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br \/><span id=\"MathJax-Element-108-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mi>d<\/mi><mo>=<\/mo><msub><mi>T<\/mi><mn>2<\/mn><\/msub><mo>−<\/mo><msub><mi>T<\/mi><mn>1<\/mn><\/msub><mo>=<\/mo><mn>2<\/mn><mo>−<\/mo><mn>3<\/mn><mo>=<\/mo><mn>2<\/mn><mo>+<\/mo><mn>3<\/mn><mo>=<\/mo><mn>5<\/mn><\/math>\"><span id=\"MJXc-Node-1664\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-1665\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1666\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">d<\/span><\/span><span id=\"MJXc-Node-1667\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-1668\" class=\"mjx-msubsup MJXc-space3\"><span class=\"mjx-base\"><span id=\"MJXc-Node-1669\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">T<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-1670\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-1671\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-1672\" class=\"mjx-msubsup MJXc-space2\"><span class=\"mjx-base\"><span id=\"MJXc-Node-1673\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">T<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-1674\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-1675\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-1676\" class=\"mjx-mn MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><span id=\"MJXc-Node-1677\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-1678\" class=\"mjx-mn MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">3<\/span><\/span><span id=\"MJXc-Node-1679\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-1680\" class=\"mjx-mn MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><span id=\"MJXc-Node-1681\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-1682\" class=\"mjx-mn MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">3<\/span><\/span><span id=\"MJXc-Node-1683\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-1684\" class=\"mjx-mn MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">5<\/span><\/span><\/span><\/span><\/span><br \/><span id=\"MathJax-Element-109-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><msub><mi>T<\/mi><mrow class="MJX-TeXAtom-ORD"><mn>15<\/mn><\/mrow><\/msub><mo>=<\/mo><mi>a<\/mi><mo>+<\/mo><mo stretchy="false">(<\/mo><mi>π<\/mi><mo>−<\/mo><mn>1<\/mn><mo stretchy="false">)<\/mo><mi>d<\/mi><\/math>\"><span id=\"MJXc-Node-1685\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-1686\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1687\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-1688\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">T<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-1689\" class=\"mjx-texatom\"><span id=\"MJXc-Node-1690\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1691\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">15<\/span><\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-1692\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-1693\" class=\"mjx-mi MJXc-space3\"><span class=\"mjx-char MJXc-TeX-math-I\">a<\/span><\/span><span id=\"MJXc-Node-1694\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-1695\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">(<\/span><\/span><span id=\"MJXc-Node-1696\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">\u03c0<\/span><\/span><span id=\"MJXc-Node-1697\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-1698\" class=\"mjx-mn MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><span id=\"MJXc-Node-1699\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">)<\/span><\/span><span id=\"MJXc-Node-1700\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">d<\/span><\/span><\/span><\/span><\/span><br \/><span id=\"MathJax-Element-110-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mi>a<\/mi><mo>=<\/mo><mo>−<\/mo><mn>3<\/mn><mo>,<\/mo><mi>π<\/mi><mo>=<\/mo><mn>15<\/mn><mo>,<\/mo><\/math>\"><span id=\"MJXc-Node-1701\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-1702\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1703\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">a<\/span><\/span><span id=\"MJXc-Node-1704\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-1705\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-1706\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">3<\/span><\/span><span id=\"MJXc-Node-1707\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">,<\/span><\/span><span id=\"MJXc-Node-1708\" class=\"mjx-mi MJXc-space1\"><span class=\"mjx-char MJXc-TeX-math-I\">\u03c0<\/span><\/span><span id=\"MJXc-Node-1709\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-1710\" class=\"mjx-mn MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">15<\/span><\/span><span id=\"MJXc-Node-1711\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">,<\/span><\/span><\/span><\/span><\/span>\u00a0and\u00a0<span id=\"MathJax-Element-111-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mi>d<\/mi><mo>=<\/mo><mn>3<\/mn><\/math>\"><span id=\"MJXc-Node-1712\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-1713\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1714\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">d<\/span><\/span><span id=\"MJXc-Node-1715\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-1716\" class=\"mjx-mn MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">3<\/span><\/span><\/span><\/span><\/span><br \/><span id=\"MathJax-Element-112-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><msub><mi>T<\/mi><mrow class="MJX-TeXAtom-ORD"><mn>15<\/mn><\/mrow><\/msub><mo>=<\/mo><mo>−<\/mo><mn>3<\/mn><mo>+<\/mo><mo stretchy="false">(<\/mo><mn>15<\/mn><mo>−<\/mo><mn>1<\/mn><mo stretchy="false">)<\/mo><mo>×<\/mo><mn>5<\/mn><\/math>\"><span id=\"MJXc-Node-1717\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-1718\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1719\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-1720\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">T<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-1721\" class=\"mjx-texatom\"><span id=\"MJXc-Node-1722\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1723\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">15<\/span><\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-1724\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-1725\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-1726\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">3<\/span><\/span><span id=\"MJXc-Node-1727\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-1728\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">(<\/span><\/span><span id=\"MJXc-Node-1729\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">15<\/span><\/span><span id=\"MJXc-Node-1730\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-1731\" class=\"mjx-mn MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><span id=\"MJXc-Node-1732\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">)<\/span><\/span><span id=\"MJXc-Node-1733\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">\u00d7<\/span><\/span><span id=\"MJXc-Node-1734\" class=\"mjx-mn MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">5<\/span><\/span><\/span><\/span><\/span><br \/><span id=\"MathJax-Element-113-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mo>=<\/mo><mo>−<\/mo><mn>3<\/mn><mo>+<\/mo><mn>14<\/mn><mo>×<\/mo><mn>5<\/mn><\/math>\"><span id=\"MJXc-Node-1735\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-1736\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1737\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-1738\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-1739\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">3<\/span><\/span><span id=\"MJXc-Node-1740\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-1741\" class=\"mjx-mn MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">14<\/span><\/span><span id=\"MJXc-Node-1742\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">\u00d7<\/span><\/span><span id=\"MJXc-Node-1743\" class=\"mjx-mn MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">5<\/span><\/span><\/span><\/span><\/span><br \/><span id=\"MathJax-Element-114-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><msub><mi>T<\/mi><mrow class="MJX-TeXAtom-ORD"><mn>15<\/mn><\/mrow><\/msub><mo>=<\/mo><mo>−<\/mo><mn>3<\/mn><mo>+<\/mo><mn>70<\/mn><mo>,<\/mo><msub><mi>T<\/mi><mrow class="MJX-TeXAtom-ORD"><mn>15<\/mn><\/mrow><\/msub><mo>=<\/mo><mn>67<\/mn><\/math>\"><span id=\"MJXc-Node-1744\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-1745\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1746\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-1747\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">T<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-1748\" class=\"mjx-texatom\"><span id=\"MJXc-Node-1749\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1750\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">15<\/span><\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-1751\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-1752\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-1753\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">3<\/span><\/span><span id=\"MJXc-Node-1754\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-1755\" class=\"mjx-mn MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">70<\/span><\/span><span id=\"MJXc-Node-1756\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">,<\/span><\/span><span id=\"MJXc-Node-1757\" class=\"mjx-msubsup MJXc-space1\"><span class=\"mjx-base\"><span id=\"MJXc-Node-1758\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">T<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-1759\" class=\"mjx-texatom\"><span id=\"MJXc-Node-1760\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1761\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">15<\/span><\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-1762\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-1763\" class=\"mjx-mn MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">67<\/span><\/span><\/span><\/span><\/span><br \/>The 15th term of the sequence is\u00a0<span id=\"MathJax-Element-115-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mn>67<\/mn><\/math>\"><span id=\"MJXc-Node-1764\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-1765\" class=\"mjx-mrow\"><span id=\"MJXc-Node-1766\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">67<\/span><\/span><\/span><\/span><\/span>","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:60:\"What is the 15 th term of the sequence \u2212 3 , 2 , 7 , \u2026 ?\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["66",0,0],["68",0,0],["67",0,1],["65",0,0]]},"413":{"question_id":"413","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:8:\"x\u2212 y\/x\";i:1;d:0;i:2;i:1;}i:1;a:3:{i:0;s:10:\"y \u2212 x \/x\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:9:\"x \u2212 y\/y\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:10:\"y \u2212 x \/y\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:86:\"If the probability of success in an event is y\/x . What is the probability of failure?\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["x\u2212 y\/x",0,1],["y \u2212 x \/x",0,0],["x \u2212 y\/y",0,0],["y \u2212 x \/y",0,0]]},"420":{"question_id":"420","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:3:\"5\/2\";i:1;d:0;i:2;i:1;}i:1;a:3:{i:0;s:4:\"-5\/2\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:1:\"3\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:2:\"-3\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"The value for which x is minimum is -b\/2a for a quadratic equation ax\u00b2+bx+c. From the value given x\u00b2-5x+6;<br \/>a=1, b=-5, c=6<br \/>So, -b\/2a = -(-5)\/2(1) = 5\/2","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:53:\"What is the value of x for which x\u00b2-5x+6 is minimum?\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"Mathematics","deleted":"0","deleted_question_bank":"0","answers":[["5\/2",0,1],["-5\/2",0,0],["3",0,0],["-3",0,0]]},"412":{"question_id":"412","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:4:\"248m\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:4:\"382m\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:4:\"282m\";i:1;d:0;i:2;i:1;}i:3;a:3:{i:0;s:4:\"148m\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"<p class=\"pad2\"><span style=\"font-size: 16px\">tan\u206178=\u210e\/60<\/span><\/p>\n\u210e=60tan\u206178<br \/>\u210e=60\u00d74.705=282.27<br \/><br \/>\u224a\u00a0282m to the nearest whole number.<br \/>","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:179:\"The angle of elevation of the top of a tree from a point on the ground 60m away from the foot of the tree is 78\u00b0. Find the height of the tree correct to the nearest whole number.\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["248m",0,0],["382m",0,0],["282m",0,1],["148m",0,0]]},"436":{"question_id":"436","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:23:\"Hierarchically arranged\";i:1;d:0;i:2;i:1;}i:1;a:3:{i:0;s:20:\"Haphazardly arranged\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:19:\"Diagonally arranged\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:17:\"Secretly arranged\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:100:\"In the organizational structure of the ministry or government department, offices and positions are:\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["Hierarchically arranged",0,1],["Haphazardly arranged",0,0],["Diagonally arranged",0,0],["Secretly arranged",0,0]]},"409":{"question_id":"409","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:39:\"when the sun is overhead on the Equator\";i:1;d:0;i:2;i:1;}i:1;a:3:{i:0;s:51:\"when the sun is overhead on the tropic or Capricorn\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:77:\"when the sun is overhead on both the tropic of Cancer and Tropic of Capricorn\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:48:\"when the sun is overhead on the tropic of Cancer\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"The Equator is an imaginary line that divides the Earth into the Northern Hemisphere and Southern Hemisphere. When the sun is directly overhead on the Equator, it creates a more favourable condition for the tropical maritime air mass to extend into the West African hinterlands.","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:91:\"The tropical maritime air mass attains its maximum incursion over West African hinterlands?\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["when the sun is overhead on the Equator",0,1],["when the sun is overhead on the tropic or Capricorn",0,0],["when the sun is overhead on both the tropic of Cancer and Tropic of Capricorn",0,0],["when the sun is overhead on the tropic of Cancer",0,0]]},"414":{"question_id":"414","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:6:\"3.4 cm\";i:1;d:0;i:2;i:1;}i:1;a:3:{i:0;s:6:\"4.2 cm\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:6:\"3.2 cm\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:6:\"4.3 cm\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"Length of chord = 2r sin\u2061(\u03b8\/2)<br \/><br \/>=\u00a02(3)sin\u2061(682)<br \/><br \/>=\u00a06sin\u206134<br \/><br \/>=\u00a06\u00d70.559<br \/><br \/>= 3.354 cm\u00a0\u224a\u00a03.4 cm","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:61:\"Find the length of the chord |AB| in the diagram shown above.\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["3.4 cm",0,1],["4.2 cm",0,0],["3.2 cm",0,0],["4.3 cm",0,0]]},"407":{"question_id":"407","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:8:\"Chestnut\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:7:\"Pedocal\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:8:\"Chemozem\";i:1;d:0;i:2;i:1;}i:3;a:3:{i:0;s:6:\"Podsol\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"Chemozems are soils that are found in temperate grasslands and have the characteristics described in the question. They are known for their fertility and ability to support the growth of grasses and other plants.","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:184:\"The largest soil group, found in the temperature grasslands, having a deep, black, nutrient-rich A-horizon, a compact B-horizon and a zone of calcium carbonate accumulation is called a\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["Chestnut",0,0],["Pedocal",0,0],["Chemozem",0,1],["Podsol",0,0]]},"429":{"question_id":"429","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:10:\"780 g\/cm\u00b3\";i:1;d:0;i:2;i:1;}i:1;a:3:{i:0;s:11:\"0.78 g\/cm\u00b3\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:9:\"30 g\/cm\u00b3\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:9:\"10 g\/cm\u00b3\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"<span id=\"MathJax-Element-6-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mi>D<\/mi><mi>e<\/mi><mi>n<\/mi><mi>s<\/mi><mi>i<\/mi><mi>t<\/mi><mi>y<\/mi><mo>=<\/mo><mfrac><mrow><mi>M<\/mi><mi>a<\/mi><mi>s<\/mi><mi>s<\/mi><\/mrow><mrow><mi>V<\/mi><mi>o<\/mi><mi>l<\/mi><mi>u<\/mi><mi>m<\/mi><mi>e<\/mi><\/mrow><\/mfrac><\/math>\"><br \/><br \/><br \/><br \/><span id=\"MJXc-Node-41\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-42\" class=\"mjx-mrow\"><span id=\"MJXc-Node-43\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">\u00a0<br \/><br \/><br \/>D<\/span><\/span><span id=\"MJXc-Node-44\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">e<\/span><\/span><span id=\"MJXc-Node-45\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">n<\/span><\/span><span id=\"MJXc-Node-46\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">s<\/span><\/span><span id=\"MJXc-Node-47\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">i<\/span><\/span><span id=\"MJXc-Node-48\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">t<\/span><\/span><span id=\"MJXc-Node-49\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">y <\/span><\/span><span id=\"MJXc-Node-50\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-51\" class=\"mjx-mfrac MJXc-space3\"><span class=\"mjx-box MJXc-stacked\"><span class=\"mjx-numerator\"><span id=\"MJXc-Node-52\" class=\"mjx-mrow\"><span id=\"MJXc-Node-53\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">M<\/span><\/span><span id=\"MJXc-Node-54\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">a<\/span><\/span><span id=\"MJXc-Node-55\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">s<\/span><\/span><span id=\"MJXc-Node-56\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">s\/<\/span><\/span><\/span><\/span><span class=\"mjx-denominator\"><span id=\"MJXc-Node-57\" class=\"mjx-mrow\"><span id=\"MJXc-Node-58\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">V<\/span><\/span><span id=\"MJXc-Node-59\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">o<\/span><\/span><span id=\"MJXc-Node-60\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">l<\/span><\/span><span id=\"MJXc-Node-61\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">u<\/span><\/span><span id=\"MJXc-Node-62\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">m<\/span><\/span><span id=\"MJXc-Node-63\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">e\u00a0<br \/><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0\u00a0<br \/>Mass of resulting mixture = 21 + 10 = 31g<br \/>Volume of resulting mixture = 30 + 10 = 40<br \/><br \/><span id=\"MathJax-Element-9-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mi>D<\/mi><mi>e<\/mi><mi>n<\/mi><mi>s<\/mi><mi>i<\/mi><mi>t<\/mi><mi>y<\/mi><mo>=<\/mo><mfrac><mn>31<\/mn><mn>40<\/mn><\/mfrac><mo>=<\/mo><mn>0.775<\/mn><mo>=<\/mo><mn>0.78<\/mn><mi>g<\/mi><mi>c<\/mi><msup><mi>m<\/mi><mo>−<\/mo><\/msup><mn>3<\/mn><\/math>\"><span id=\"MJXc-Node-80\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-81\" class=\"mjx-mrow\"><span id=\"MJXc-Node-82\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">D<\/span><\/span><span id=\"MJXc-Node-83\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">e<\/span><\/span><span id=\"MJXc-Node-84\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">n<\/span><\/span><span id=\"MJXc-Node-85\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">s<\/span><\/span><span id=\"MJXc-Node-86\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">i<\/span><\/span><span id=\"MJXc-Node-87\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">t<\/span><\/span><span id=\"MJXc-Node-88\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">y<\/span><\/span><span id=\"MJXc-Node-89\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-90\" class=\"mjx-mfrac MJXc-space3\"><span class=\"mjx-box MJXc-stacked\"><span class=\"mjx-numerator\"><span id=\"MJXc-Node-91\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">31\/<\/span><\/span><\/span><span class=\"mjx-denominator\"><span id=\"MJXc-Node-92\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">40<\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-93\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-94\" class=\"mjx-mn MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">0.775<\/span><\/span><span id=\"MJXc-Node-95\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-96\" class=\"mjx-mn MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">0.78<\/span><\/span><span id=\"MJXc-Node-97\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">g\/<\/span><\/span><span id=\"MJXc-Node-98\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">cm\u00b3<\/span><\/span><\/span><\/span><\/span><br \/><span id=\"MathJax-Element-8-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mfrac><mn>21<\/mn><mn>0.7<\/mn><\/mfrac><mo>=<\/mo><mn>30<\/mn><mi>g<\/mi><\/math>\"><span id=\"MJXc-Node-72\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-73\" class=\"mjx-mrow\"><span id=\"MJXc-Node-79\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\"><br \/><\/span><\/span><\/span><\/span><\/span>","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:121:\"If 21 g of alcohol of density 0.7 g\/cm\u00b3 is mixed with 10 g of water, what would be the density of the resulting mixture?\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["780 g\/cm\u00b3",0,1],["0.78 g\/cm\u00b3",0,0],["30 g\/cm\u00b3",0,0],["10 g\/cm\u00b3",0,0]]},"435":{"question_id":"435","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:19:\"Prof. M.O. Babalola\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:28:\"Professor Eyitope Ogunbodede\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:23:\"Professor Oladele Ajose\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:23:\"Professor Simeon Bamire\";i:1;d:0;i:2;i:1;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"Professor Adebayo Simeon Bamire (born 18 January 1959) is a Nigerian academic and professor of agricultural economics who is the 12th substantial Vice Chancellor of Obafemi Awolowo University, Ile-Ife, since 2022. He was preceded by Prof. Ogunbodede while Prof. Ajose was the first VC of OAU.","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:37:\"The current Vice Chancellor of OAU is\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"Aptitude","deleted":"0","deleted_question_bank":"0","answers":[["Prof. M.O. Babalola",0,0],["Professor Eyitope Ogunbodede",0,0],["Professor Oladele Ajose",0,0],["Professor Simeon Bamire",0,1]]},"404":{"question_id":"404","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:10:\"500N and S\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:9:\"450 and S\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:12:\"23.50N and S\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:10:\"700N and S\";i:1;d:0;i:2;i:1;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:139:\"In which of the following latitudes would you expect more than 24 hour of continuous daylight or darkness at a particular time of the year?\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["500N and S",0,0],["450 and S",0,0],["23.50N and S",0,0],["700N and S",0,1]]},"415":{"question_id":"415","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:8:\"13 units\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:8:\"14 units\";i:1;d:0;i:2;i:1;}i:2;a:3:{i:0;s:8:\"15 units\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:8:\"16 units\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"The general equation of a circle is given as:\u00a0<span id=\"MathJax-Element-57-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><msup><mi>x<\/mi><mrow class="MJX-TeXAtom-ORD"><mn>2<\/mn><\/mrow><\/msup><mo>+<\/mo><msup><mi>y<\/mi><mrow class="MJX-TeXAtom-ORD"><mn>2<\/mn><\/mrow><\/msup><mo>+<\/mo><mn>2<\/mn><mi>g<\/mi><mi>x<\/mi><mo>+<\/mo><mn>2<\/mn><mi>f<\/mi><mi>y<\/mi><mo>+<\/mo><mi>c<\/mi><mo>=<\/mo><mn>0<\/mn><\/math>\"><span id=\"MJXc-Node-888\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-889\" class=\"mjx-mrow\"><span id=\"MJXc-Node-890\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-891\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">x\u00b2<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-895\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-896\" class=\"mjx-msubsup MJXc-space2\"><span class=\"mjx-base\"><span id=\"MJXc-Node-897\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">y<span id=\"MJXc-Node-890\" class=\"mjx-msubsup\"><span id=\"MJXc-Node-891\" class=\"mjx-mi\">\u00b2<\/span><\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-901\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-902\" class=\"mjx-mn MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><span id=\"MJXc-Node-903\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">g<\/span><\/span><span id=\"MJXc-Node-904\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">x<\/span><\/span><span id=\"MJXc-Node-905\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-906\" class=\"mjx-mn MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><span id=\"MJXc-Node-907\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">f<\/span><\/span><span id=\"MJXc-Node-908\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">y<\/span><\/span><span id=\"MJXc-Node-909\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-910\" class=\"mjx-mi MJXc-space2\"><span class=\"mjx-char MJXc-TeX-math-I\">c<\/span><\/span><span id=\"MJXc-Node-911\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-912\" class=\"mjx-mn MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">0<br \/><br \/><\/span><\/span><\/span><\/span><\/span><br \/>The above equation can also be written as\u00a0<span id=\"MathJax-Element-58-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mo stretchy="false">(<\/mo><mi>x<\/mi><mo>−<\/mo><mi>a<\/mi><msup><mo stretchy="false">)<\/mo><mrow class="MJX-TeXAtom-ORD"><mn>2<\/mn><\/mrow><\/msup><mo>+<\/mo><mo stretchy="false">(<\/mo><mi>y<\/mi><mo>−<\/mo><mi>b<\/mi><msup><mo stretchy="false">)<\/mo><mrow class="MJX-TeXAtom-ORD"><mn>2<\/mn><\/mrow><\/msup><mo>=<\/mo><msup><mi>r<\/mi><mrow class="MJX-TeXAtom-ORD"><mn>2<\/mn><\/mrow><\/msup><\/math>\"><span id=\"MJXc-Node-913\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-914\" class=\"mjx-mrow\"><span id=\"MJXc-Node-915\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">(<\/span><\/span><span id=\"MJXc-Node-916\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">x<\/span><\/span><span id=\"MJXc-Node-917\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-918\" class=\"mjx-mi MJXc-space2\"><span class=\"mjx-char MJXc-TeX-math-I\">a<\/span><\/span><span id=\"MJXc-Node-919\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-920\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">)<span id=\"MathJax-Element-57-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><msup><mi>x<\/mi><mrow class="MJX-TeXAtom-ORD"><mn>2<\/mn><\/mrow><\/msup><mo>+<\/mo><msup><mi>y<\/mi><mrow class="MJX-TeXAtom-ORD"><mn>2<\/mn><\/mrow><\/msup><mo>+<\/mo><mn>2<\/mn><mi>g<\/mi><mi>x<\/mi><mo>+<\/mo><mn>2<\/mn><mi>f<\/mi><mi>y<\/mi><mo>+<\/mo><mi>c<\/mi><mo>=<\/mo><mn>0<\/mn><\/math>\"><span id=\"MJXc-Node-888\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-889\" class=\"mjx-mrow\"><span id=\"MJXc-Node-890\" class=\"mjx-msubsup\"><span id=\"MJXc-Node-891\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">\u00b2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-924\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-925\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">(<\/span><\/span><span id=\"MJXc-Node-926\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">y<\/span><\/span><span id=\"MJXc-Node-927\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-928\" class=\"mjx-mi MJXc-space2\"><span class=\"mjx-char MJXc-TeX-math-I\">b<\/span><\/span><span id=\"MJXc-Node-929\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-930\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">)<span id=\"MathJax-Element-57-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><msup><mi>x<\/mi><mrow class="MJX-TeXAtom-ORD"><mn>2<\/mn><\/mrow><\/msup><mo>+<\/mo><msup><mi>y<\/mi><mrow class="MJX-TeXAtom-ORD"><mn>2<\/mn><\/mrow><\/msup><mo>+<\/mo><mn>2<\/mn><mi>g<\/mi><mi>x<\/mi><mo>+<\/mo><mn>2<\/mn><mi>f<\/mi><mi>y<\/mi><mo>+<\/mo><mi>c<\/mi><mo>=<\/mo><mn>0<\/mn><\/math>\"><span id=\"MJXc-Node-888\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-889\" class=\"mjx-mrow\"><span id=\"MJXc-Node-890\" class=\"mjx-msubsup\"><span id=\"MJXc-Node-891\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">\u00b2 <\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-934\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-935\" class=\"mjx-msubsup MJXc-space3\"><span class=\"mjx-base\"><span id=\"MJXc-Node-936\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">r<span id=\"MathJax-Element-57-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><msup><mi>x<\/mi><mrow class="MJX-TeXAtom-ORD"><mn>2<\/mn><\/mrow><\/msup><mo>+<\/mo><msup><mi>y<\/mi><mrow class="MJX-TeXAtom-ORD"><mn>2<\/mn><\/mrow><\/msup><mo>+<\/mo><mn>2<\/mn><mi>g<\/mi><mi>x<\/mi><mo>+<\/mo><mn>2<\/mn><mi>f<\/mi><mi>y<\/mi><mo>+<\/mo><mi>c<\/mi><mo>=<\/mo><mn>0<\/mn><\/math>\"><span id=\"MJXc-Node-888\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-889\" class=\"mjx-mrow\"><span id=\"MJXc-Node-890\" class=\"mjx-msubsup\"><span id=\"MJXc-Node-891\" class=\"mjx-mi\">\u00b2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br \/>Where a and b are the centre of the circle and r is the radius.\n<p> <\/p>\n<p>Since the given equation of the circle is:\u00a0<span id=\"MathJax-Element-59-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: normal;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mo>=<\/mo><msup><mrow><mo>(<\/mo><mfrac><mn>7<\/mn><mi>π<\/mi><\/mfrac><mo>)<\/mo><\/mrow><mn>2<\/mn><\/msup><mo>,<\/mo><mo>=<\/mo><mi>α<\/mi><mo>=<\/mo><mn>0<\/mn><mo>,<\/mo><mi>b<\/mi><mo>=<\/mo><mn>0<\/mn><mo>,<\/mo><mi>r<\/mi><mo>=<\/mo><mfrac><mn>7<\/mn><mi>π<\/mi><\/mfrac><\/math>\"><span id=\"MJXc-Node-940\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-941\" class=\"mjx-mrow\"><span id=\"MJXc-Node-942\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-943\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">x<span id=\"MathJax-Element-57-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><msup><mi>x<\/mi><mrow class="MJX-TeXAtom-ORD"><mn>2<\/mn><\/mrow><\/msup><mo>+<\/mo><msup><mi>y<\/mi><mrow class="MJX-TeXAtom-ORD"><mn>2<\/mn><\/mrow><\/msup><mo>+<\/mo><mn>2<\/mn><mi>g<\/mi><mi>x<\/mi><mo>+<\/mo><mn>2<\/mn><mi>f<\/mi><mi>y<\/mi><mo>+<\/mo><mi>c<\/mi><mo>=<\/mo><mn>0<\/mn><\/math>\"><span id=\"MJXc-Node-888\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-889\" class=\"mjx-mrow\"><span id=\"MJXc-Node-890\" class=\"mjx-msubsup\"><span id=\"MJXc-Node-891\" class=\"mjx-mi\">\u00b2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-945\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-946\" class=\"mjx-msubsup MJXc-space2\"><span class=\"mjx-base\"><span id=\"MJXc-Node-947\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">y<span id=\"MathJax-Element-57-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><msup><mi>x<\/mi><mrow class="MJX-TeXAtom-ORD"><mn>2<\/mn><\/mrow><\/msup><mo>+<\/mo><msup><mi>y<\/mi><mrow class="MJX-TeXAtom-ORD"><mn>2<\/mn><\/mrow><\/msup><mo>+<\/mo><mn>2<\/mn><mi>g<\/mi><mi>x<\/mi><mo>+<\/mo><mn>2<\/mn><mi>f<\/mi><mi>y<\/mi><mo>+<\/mo><mi>c<\/mi><mo>=<\/mo><mn>0<\/mn><\/math>\"><span id=\"MJXc-Node-888\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-889\" class=\"mjx-mrow\"><span id=\"MJXc-Node-890\" class=\"mjx-msubsup\"><span id=\"MJXc-Node-891\" class=\"mjx-mi\">\u00b2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-949\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-950\" class=\"mjx-msubsup MJXc-space3\"><span class=\"mjx-base\"><span id=\"MJXc-Node-951\" class=\"mjx-mrow\"><span id=\"MJXc-Node-952\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-size1-R\">(<\/span><\/span><span id=\"MJXc-Node-953\" class=\"mjx-mfrac\"><span class=\"mjx-box MJXc-stacked\"><span class=\"mjx-numerator\"><span id=\"MJXc-Node-954\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">7\/<\/span><\/span><\/span><span class=\"mjx-denominator\"><span id=\"MJXc-Node-955\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">\u03c0<\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-956\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-size1-R\">)<span id=\"MathJax-Element-57-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #444444;font-family: LatoWeb, Helvetica, Arial, sans-serif;background-color: #ffffff;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><msup><mi>x<\/mi><mrow class="MJX-TeXAtom-ORD"><mn>2<\/mn><\/mrow><\/msup><mo>+<\/mo><msup><mi>y<\/mi><mrow class="MJX-TeXAtom-ORD"><mn>2<\/mn><\/mrow><\/msup><mo>+<\/mo><mn>2<\/mn><mi>g<\/mi><mi>x<\/mi><mo>+<\/mo><mn>2<\/mn><mi>f<\/mi><mi>y<\/mi><mo>+<\/mo><mi>c<\/mi><mo>=<\/mo><mn>0<\/mn><\/math>\"><span id=\"MJXc-Node-888\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-889\" class=\"mjx-mrow\"><span id=\"MJXc-Node-890\" class=\"mjx-msubsup\"><span id=\"MJXc-Node-891\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">\u00b2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-958\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">,<\/span><\/span><span id=\"MJXc-Node-959\" class=\"mjx-mo MJXc-space1\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-960\" class=\"mjx-mi MJXc-space3\"><span class=\"mjx-char MJXc-TeX-math-I\">\u03b1<\/span><\/span><span id=\"MJXc-Node-961\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-962\" class=\"mjx-mn MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">0<\/span><\/span><span id=\"MJXc-Node-963\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">,<\/span><\/span><span id=\"MJXc-Node-964\" class=\"mjx-mi MJXc-space1\"><span class=\"mjx-char MJXc-TeX-math-I\">b<\/span><\/span><span id=\"MJXc-Node-965\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-966\" class=\"mjx-mn MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">0<\/span><\/span><span id=\"MJXc-Node-967\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">,<\/span><\/span><span id=\"MJXc-Node-968\" class=\"mjx-mi MJXc-space1\"><span class=\"mjx-char MJXc-TeX-math-I\">r<\/span><\/span><span id=\"MJXc-Node-969\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-970\" class=\"mjx-mfrac MJXc-space3\"><span class=\"mjx-box MJXc-stacked\"><span class=\"mjx-numerator\"><span id=\"MJXc-Node-971\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">7\/<\/span><\/span><\/span><span class=\"mjx-denominator\"><span id=\"MJXc-Node-972\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">\u03c0<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br \/>The circumference of a circle\u00a0<span id=\"MathJax-Element-60-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: normal;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mo stretchy="false">(<\/mo><mi>c<\/mi><mo stretchy="false">)<\/mo><mo>=<\/mo><mn>2<\/mn><mi>π<\/mi><mi>r<\/mi><\/math>\"><span id=\"MJXc-Node-973\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-974\" class=\"mjx-mrow\"><span id=\"MJXc-Node-975\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">(<\/span><\/span><span id=\"MJXc-Node-976\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">c<\/span><\/span><span id=\"MJXc-Node-977\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">)<\/span><\/span><span id=\"MJXc-Node-978\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-979\" class=\"mjx-mn MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><span id=\"MJXc-Node-980\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">\u03c0<\/span><\/span><span id=\"MJXc-Node-981\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">r<\/span><\/span><\/span><\/span><\/span><br \/>c =\u00a0<span id=\"MathJax-Element-61-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: normal;font-size: 22.8px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;position: relative\" role=\"presentation\" data-mathml=\"<math xmlns="http:\/\/www.w3.org\/1998\/Math\/MathML"><mn>2<\/mn><mi>π<\/mi><mi>x<\/mi><mfrac><mn>7<\/mn><mi>π<\/mi><\/mfrac><mo>=<\/mo><mn>14<\/mn><\/math>\"><span id=\"MJXc-Node-982\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-983\" class=\"mjx-mrow\"><span id=\"MJXc-Node-984\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><span id=\"MJXc-Node-985\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">\u03c0<\/span><\/span><span id=\"MJXc-Node-986\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">x<\/span><\/span><span id=\"MJXc-Node-987\" class=\"mjx-mfrac\"><span class=\"mjx-box MJXc-stacked\"><span class=\"mjx-numerator\"><span id=\"MJXc-Node-988\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">7\/<\/span><\/span><\/span><span class=\"mjx-denominator\"><span id=\"MJXc-Node-989\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">\u03c0<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">=14<\/span><\/span>\u00a0units<\/p>","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:62:\"What is the circumference of the circle x\u00b2+ y\u00b2 = ( 7 \u03c0 )\u00b2?\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["13 units",0,0],["14 units",0,1],["15 units",0,0],["16 units",0,0]]},"428":{"question_id":"428","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:12:\"Thermocouple\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:10:\"Hydrometer\";i:1;d:0;i:2;i:1;}i:2;a:3:{i:0;s:31:\"Platinum resistance thermometer\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:9:\"Pyrometer\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:44:\"Which of the following is not a thermometer?\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["Thermocouple",0,0],["Hydrometer",0,1],["Platinum resistance thermometer",0,0],["Pyrometer",0,0]]},"405":{"question_id":"405","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:7:\"Lignite\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:4:\"Gold\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:9:\"Columbite\";i:1;d:0;i:2;i:1;}i:3;a:3:{i:0;s:4:\"Coal\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:58:\"One of the major mineral deposits found in Jos plateau is?\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["Lignite",0,0],["Gold",0,0],["Columbite",0,1],["Coal",0,0]]},"301":{"question_id":"301","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:5:\"Night\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:4:\"Dawn\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:8:\"Twilight\";i:1;d:0;i:2;i:1;}i:3;a:3:{i:0;s:8:\"Solstice\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"Twilight is the time when the sky is still somewhat illuminated after the sun has set, but before it becomes completely dark. It is often characterized by a soft, diffused light and can be divided into three stages: civil twilight, nautical twilight, and astronomical twilight.","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:78:\"The brief period between sunset and the complete darkness of nigh is known as?\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["Night",0,0],["Dawn",0,0],["Twilight",0,1],["Solstice",0,0]]},"422":{"question_id":"422","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:4:\"25\u00ba\";i:1;d:0;i:2;i:1;}i:1;a:3:{i:0;s:4:\"45\u00ba\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:4:\"65\u00ba\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:4:\"20\u00ba\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:248:\"Two plane mirrors are inclined at angle 45\u00ba one to another. A ray of light has incident angle 20\u00ba at the surface of the first mirror. The reflected ray is then incident on the second mirror. Calculate the angle of reflection at the second mirror.\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["25\u00ba",0,1],["45\u00ba",0,0],["65\u00ba",0,0],["20\u00ba",0,0]]},"410":{"question_id":"410","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:4:\"90\u00b0\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:4:\"15\u00b0\";i:1;d:0;i:2;i:1;}i:2;a:3:{i:0;s:6:\"66.5\u00ba\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:6:\"23.5\u00b0\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:91:\"One hour\u2019s difference in mean solar time represents what angular difference in longitude?\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["90\u00b0",0,0],["15\u00b0",0,1],["66.5\u00ba",0,0],["23.5\u00b0",0,0]]},"403":{"question_id":"403","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:35:\"7.00pm on Sunday 20 September, 2014\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:35:\"5.40pm on Sunday 20 September, 2014\";i:1;d:0;i:2;i:1;}i:2;a:3:{i:0;s:36:\"8.40am on Tuesday 22 September, 2014\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:37:\"10.00am on Tuesday 22 September, 2014\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"<p>The longitude difference between location A and the Prime Meridian is 5\u00b0E. The longitude difference between location B and the Prime Meridian is 29\u00b050'W.<\/p>\n<p>To convert the longitude difference of location B from west to east, we subtract it from 360 degrees (since there are 360 degrees in a circle). So, 360\u00b0 - 29\u00b050'W = 330\u00b010'E.<\/p>\n<p>Now, we can calculate the time difference between the two locations. Each 15 degrees of longitude represents one hour of time difference. So, we divide the longitude difference of 330\u00b010'E by 15 to get the time difference in hours.<\/p>\n<p>330\u00b010'E \/ 15 = 22 hours and 0 minutes.<\/p>\n<p>Since location A is ahead of location B in terms of longitude, we subtract the time difference from the starting time of the match in location A.<\/p>\n<p>2.00 pm - 22 hours = 4.00 am<\/p>\n<p>So, people in location B would be able to listen or watch the start of the match at 4.00 a.m. on Tuesday, 22 September 2014.<\/p>","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:246:\"If an international football match is schedule to start by 2.00pm on Monday 21 September 2014 in location A (longitude 5oE), at what time and date would people in location B (longitude 2950W ) be able to listen or watch of the start of the match?\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["7.00pm on Sunday 20 September, 2014",0,0],["5.40pm on Sunday 20 September, 2014",0,1],["8.40am on Tuesday 22 September, 2014",0,0],["10.00am on Tuesday 22 September, 2014",0,0]]},"433":{"question_id":"433","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:2:\"QP\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:2:\"HK\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:2:\"DM\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:2:\"MW\";i:1;d:0;i:2;i:1;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"<p>Each letter the sequence was moved forward by 4 times.<\/p>\n<p>A...E...I...M<br \/>K...O...S...W<\/p>\n<p>Hence, the answer is MW<\/p>","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:0;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:54:\"What is the next term in this sequence? AK, EO, IS ___\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"Aptitude","deleted":"0","deleted_question_bank":"0","answers":[["QP",0,0],["HK",0,0],["DM",0,0],["MW",0,1]]},"439":{"question_id":"439","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:7:\"dignity\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:9:\"good land\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:11:\"agriculture\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:18:\"strength and pride\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"The Red Eagle denotes strength and pride. The red colour of the eagle also symbolizes the bloodshed of Nigerian heroes in the country's fight for independence.","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:57:\"In the Nigerian coat of arms, the red eagle connotes the?\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["dignity",0,0],["good land",0,0],["agriculture",0,0],["strength and pride",0,0]]},"421":{"question_id":"421","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:8:\"160.5\u2126\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:8:\"130.5\u2126\";i:1;d:0;i:2;i:1;}i:2;a:3:{i:0;s:8:\"165.5\u2126\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:8:\"170.5\u2126\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"(160.52-60.52)\/(160.52-x)=(100-0)\/(100-70)<br \/>100\/(160.52-x)=100\/30<br \/>Cross Multiplying, we have;<br \/>100\u00d730=100(160.52-x)<br \/>3000=16052-100x<br \/>100x=16052-3000<br \/>100x=13052<br \/>Divide both sides by 100<br \/>x=130.52","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:172:\"The resistance of a platinum resistance thermometer is 160.5\u2126 at steam point and 60.5\u2126 at the melting point of ice. Calculate the resistance of the thermometer at 70\u00baC\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["160.5\u2126",0,0],["130.5\u2126",0,1],["165.5\u2126",0,0],["170.5\u2126",0,0]]},"438":{"question_id":"438","quiz_id":"13","question_name":"","answer_array":"a:4:{i:0;a:3:{i:0;s:26:\"A. Lt. Col. Kaduna Nzeogwu\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:20:\"Lt. Col. B. S. Dimka\";i:1;d:0;i:2;i:1;}i:2;a:3:{i:0;s:14:\"Col. Joe Garba\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:18:\"Major Gideon Orkar\";i:1;d:0;i:2;i:0;}}","answer_one":"","answer_one_points":"0","answer_two":"","answer_two_points":"0","answer_three":"","answer_three_points":"0","answer_four":"","answer_four_points":"0","answer_five":"","answer_five_points":"0","answer_six":"","answer_six_points":"0","correct_answer":"0","question_answer_info":"The 1976 Nigerian coup d'\u00e9tat attempt was a military coup attempt which took place in Nigeria on 13 February 1976[1] when a faction of Armed Forces officers, led by Lieutenant Colonel Buka Suka Dimka, attempted to overthrow the government of General Murtala Mohammed (who himself took power in the 1975 coup d'\u00e9tat).","comments":"1","hints":"","question_order":"1","question_type":"0","question_type_new":"0","question_settings":"a:14:{s:8:\"required\";i:1;s:12:\"answerEditor\";s:4:\"text\";s:14:\"question_title\";s:59:\"General Murtala Muhammed was assassinated in a coup led by?\";s:14:\"featureImageID\";s:0:\"\";s:15:\"featureImageSrc\";s:0:\"\";s:11:\"matchAnswer\";s:6:\"random\";s:14:\"case_sensitive\";s:0:\"\";s:16:\"image_size-width\";s:0:\"\";s:17:\"image_size-height\";s:0:\"\";s:8:\"autofill\";s:0:\"\";s:10:\"limit_text\";s:1:\"0\";s:23:\"limit_multiple_response\";s:1:\"0\";s:17:\"file_upload_limit\";s:1:\"0\";s:16:\"file_upload_type\";s:0:\"\";}","category":"","deleted":"0","deleted_question_bank":"0","answers":[["A. 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