{"id":446,"date":"2020-09-17T16:24:18","date_gmt":"2020-09-17T11:24:18","guid":{"rendered":"https:\/\/talib.pk\/test-preparation\/?p=446"},"modified":"2020-09-17T16:24:18","modified_gmt":"2020-09-17T11:24:18","slug":"1st-year-maths-chapter-8-mathematical-induction-mcqs-with-answers","status":"publish","type":"post","link":"https:\/\/talib.pk\/test-preparation\/1st-year-maths-chapter-8-mathematical-induction-mcqs-with-answers\/","title":{"rendered":"1st Year Maths Chapter 8 Mathematical Induction MCQs with Answers"},"content":{"rendered":"<div class=\"28d95f43054b69d67289d6316e9506d8\" data-index=\"1\" style=\"float: none; margin:12px 0 12px 0; text-align:center;\">\n<script async src=\"\/\/pagead2.googlesyndication.com\/pagead\/js\/adsbygoogle.js\"><\/script>\r\n<!-- talib-new -->\r\n<ins class=\"adsbygoogle\"\r\n     style=\"display:block\"\r\n     data-ad-client=\"ca-pub-3438155045791616\"\r\n     data-ad-slot=\"6774242552\"\r\n     data-ad-format=\"auto\"><\/ins>\r\n<script>\r\n(adsbygoogle = window.adsbygoogle || []).push({});\r\n<\/script>\n<\/div>\n<p>It&#8217;s the best way to get the 1st Year Maths Chapter 8 Mathematical Induction MCQs with Answers online from this page. There are different sources from which you can get important MCQs for the Entry test. But the online way is one of the most convenient. If you are going to apply for any top University, then you should pass the entry test first. The entry test is necessary for admission and the syllabus is included from Intermediate textbooks. Mathematics subject has a big portion in Engineering, Computer Science, Business and other fields. So, you must prepare well for the entry test to get admission. In the 8th chapter, the most important topic is the Binomial expression. The Binomial theorem is very important and has several properties. The important MCQs of this chapter are given on this page. Scroll down to get them.<\/p>\n<h2 style=\"text-align: center;\">1st Year Maths Chapter 8 Mathematical Induction MCQs with Answers<\/h2>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"size-full wp-image-447 aligncenter\" src=\"https:\/\/talib.pk\/test-preparation\/wp-content\/uploads\/2020\/09\/Maths-MCQs-6.jpg\" alt=\"1st Year Maths Chapter 8 Mathematical Induction MCQs with Answers\" width=\"300\" height=\"300\" srcset=\"https:\/\/talib.pk\/test-preparation\/wp-content\/uploads\/2020\/09\/Maths-MCQs-6.jpg 300w, https:\/\/talib.pk\/test-preparation\/wp-content\/uploads\/2020\/09\/Maths-MCQs-6-150x150.jpg 150w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question<\/span><span style=\"color: #ff6600;\">#<\/span><\/strong><\/span><strong><span style=\"color: #ff6600;\">1<\/span><\/strong>: The middle term in the expansion of (x+y)<sup>30<\/sup> is:<\/p>\n<ul>\n<li>13<sup>th<\/sup><\/li>\n<li>14<sup>th<\/sup><\/li>\n<li>15<sup>th<\/sup><\/li>\n<li>16<sup>th<\/sup><\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>16<sup>th<\/sup><\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><strong><span style=\"color: #ff6600;\">2<\/span><\/strong>: 3<sup>n<\/sup>&lt;n! is true for:<\/p>\n<ul>\n<li>n\u22646<\/li>\n<li>n\u22656<\/li>\n<li>n&lt;6<\/li>\n<li>n&gt;6<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>n&gt;6<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>3<\/strong><\/span>: In the expansion of (a+b)<sup>16<\/sup>, in every term the sum of the exponents of a and b is:<\/p>\n<ul>\n<li>15<\/li>\n<li>2<sup>15<\/sup><\/li>\n<li>2<sup>16<\/sup><\/li>\n<li>16<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>16<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question<\/span><span style=\"color: #ff6600;\">#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>4<\/strong><\/span>: 2+2<sup>2<\/sup>+2<sup>3<\/sup>+\u2026+2<sup>n<\/sup>=<\/p>\n<ul>\n<li>2<sup>n+1<\/sup><\/li>\n<li>2(2n)<\/li>\n<li>2(2<sup>n+1<\/sup>)<\/li>\n<li>2(2<sup>n<\/sup>-1)<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>2(2<sup>n<\/sup>-1)<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>5<\/strong><\/span>: The sum of coefficients in the expansion of (1+b)<sup>n<\/sup> is:<\/p>\n<ul>\n<li>n<\/li>\n<li>2<sup>n<\/sup><\/li>\n<li>2<sup>n-1<\/sup><\/li>\n<li>x<sup>2n<\/sup><\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>2<sup>n<\/sup><\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>6<\/strong><\/span>: Total number of terms in the expansion of (x+z)<sup>50<\/sup> + (x-z)<sup>50 <\/sup>are:<\/p>\n<ul>\n<li>100<\/li>\n<li>102<\/li>\n<li>52<\/li>\n<li>26<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>26<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>7<\/strong><\/span>: The coefficient of x<sup>100<\/sup> in the expansion of (1-x)<sup>-1<\/sup> is:<\/p>\n<ul>\n<li>0<\/li>\n<li>100<\/li>\n<li>1<\/li>\n<li>-100<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>1<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>8<\/strong><\/span>: If x<sup>18\u2011<\/sup> occurs in the r<sup>th<\/sup> term in the expansion of (2x<sup>4<\/sup>-3x)<sup>9<\/sup> then the value of r=<\/p>\n<ul>\n<li>6<\/li>\n<li>7<\/li>\n<li>8<\/li>\n<li>9<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>6<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>9<\/strong><\/span>: The inequality 4<sup>n<\/sup>&gt; 3<sup>n<\/sup> + 4 is true for:<\/p>\n<ul>\n<li>n=1<\/li>\n<li>n\u22652<\/li>\n<li>n&gt;2<\/li>\n<li>n\u22642<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>n\u22652<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>10<\/strong><\/span>: The sum of coefficients of (2x+ 2y+ z)<sup>10<\/sup> is:<\/p>\n<ul>\n<li>2<sup>10<\/sup><\/li>\n<li>2<sup>9<\/sup><\/li>\n<li>4<sup>10<\/sup><\/li>\n<li>5<sup>10<\/sup><\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>5<sup>10<\/sup><\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>11<\/strong><\/span>: Sum of first three co-efficient in the expansion of (1-x)<sup>-3<\/sup> is:<\/p>\n<ul>\n<li>1<\/li>\n<li>6<\/li>\n<li>4<\/li>\n<li>10<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>10<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>12<\/strong><\/span>: Using binomial theorem, <sup>5<\/sup>\u221a40 approximates to:<\/p>\n<ul>\n<li>1.1<\/li>\n<li>2.1<\/li>\n<li>3.1<\/li>\n<li>4.1<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>2.1<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>13<\/strong><\/span>: n<sup>2<\/sup>&gt;n+3 is true only if:<\/p>\n<ul>\n<li>n\u22653<\/li>\n<li>n\u22643<\/li>\n<li>n&lt;3<\/li>\n<li>n&gt;3<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>n\u22643<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>14<\/strong><\/span>: The coefficient of x<sup>10<\/sup> in the expansion of (1-x)<sup>-2<\/sup> is:<\/p>\n<ul>\n<li>10<\/li>\n<li>11<\/li>\n<li>9<\/li>\n<li>8<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>11<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>15<\/strong><\/span>: If the 5<sup>th<\/sup> term in the expansion of (z+ 2\/z<sup>2<\/sup>) is independent of z, then n=?<\/p>\n<ul>\n<li>9<\/li>\n<li>10<\/li>\n<li>11<\/li>\n<li>12<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>12<\/strong>\n\t\t\t<\/div><\/div>\n\n<div style=\"font-size: 0px; height: 0px; line-height: 0px; margin: 0; padding: 0; clear: both;\"><\/div>","protected":false},"excerpt":{"rendered":"<p>It&#8217;s the best way to get the 1st Year Maths Chapter 8 Mathematical Induction MCQs with Answers online from this page. There are different sources from which you can get important MCQs for the Entry test. But the online way is one of the most convenient. If you are going to apply for any top &hellip;<\/p>\n","protected":false},"author":2,"featured_media":447,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[12],"tags":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/posts\/446"}],"collection":[{"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/comments?post=446"}],"version-history":[{"count":0,"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/posts\/446\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/media\/447"}],"wp:attachment":[{"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/media?parent=446"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/categories?post=446"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/tags?post=446"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}