{"id":1915,"date":"2026-05-22T12:35:10","date_gmt":"2026-05-22T12:35:10","guid":{"rendered":"https:\/\/mymockmate.com\/notes\/?p=1915"},"modified":"2026-05-22T12:35:13","modified_gmt":"2026-05-22T12:35:13","slug":"sets-exercise-1-5-solutions-class-11-maths-ncert","status":"publish","type":"post","link":"https:\/\/mymockmate.com\/notes\/sets-exercise-1-5-solutions-class-11-maths-ncert\/","title":{"rendered":"Sets Exercise 1.5 Solutions Class 11 Maths NCERT"},"content":{"rendered":"<div class=\"mymoc-top mymoc-entity-placement\" id=\"mymoc-3088682822\"><div id=\"mymoc-527034287\"><a href=\"https:\/\/amzn.to\/4v5gV6P\" aria-label=\"calculators\"><img src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/calculators.png\" alt=\"\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/calculators.png 1302w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/calculators-300x99.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/calculators-1024x338.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/calculators-768x254.png 768w\" sizes=\"(max-width: 1302px) 100vw, 1302px\" width=\"1302\" height=\"430\"><\/a><\/div><\/div><div class=\"pdfprnt-buttons pdfprnt-buttons-post pdfprnt-top-bottom-right\"><a href=\"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1915?print=print\" class=\"pdfprnt-button pdfprnt-button-print\" target=\"_blank\"><img decoding=\"async\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/plugins\/pdf-print\/images\/print.png\" alt=\"image_print\" title=\"Print Content\"><span class=\"pdfprnt-button-title pdfprnt-button-print-title\">Print<\/span><\/a> <span class=\"pdfprnt-count-generation\">11<\/span><\/div>\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Short Intro<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">In this post, students can find complete NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.5 &ndash; Sets. This exercise covers complement of sets, properties of sets, Venn diagrams and important set identities with easy step-by-step explanations for CBSE exam preparation.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Quick Information Box<\/h1>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Particular<\/th><th>Details<\/th><\/tr><\/thead><tbody><tr><td>Class<\/td><td>11<\/td><\/tr><tr><td>Subject<\/td><td>Mathematics<\/td><\/tr><tr><td>Chapter<\/td><td>Sets<\/td><\/tr><tr><td>Exercise<\/td><td>1.5<\/td><\/tr><tr><td>Board<\/td><td>NCERT \/ CBSE<\/td><\/tr><tr><td>Topics Covered<\/td><td>Complement of Sets &amp; Set Identities<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Concepts Used (Topics Covered)<\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Complement of Sets<\/li>\n\n\n\n<li>Universal Set<\/li>\n\n\n\n<li>Venn Diagram<\/li>\n\n\n\n<li>Difference of Sets<\/li>\n\n\n\n<li>De Morgan&rsquo;s Laws<\/li>\n\n\n\n<li>Set Identities<\/li>\n\n\n\n<li>Union &amp; Intersection Properties<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">The chapter explains complement of a set and operations related to universal sets.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Important Formulas<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">Complement of Set<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mi>A<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">&prime;<\/mo><\/msup><mo>=<\/mo><mi>U<\/mi><mo>&minus;<\/mo><mi>A<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">A&rsquo;=U-A<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">De Morgan&rsquo;s First Law<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>A<\/mi><mo>&cup;<\/mo><mi>B<\/mi><msup><mo stretchy=\"false\">)<\/mo><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">&prime;<\/mo><\/msup><mo>=<\/mo><msup><mi>A<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">&prime;<\/mo><\/msup><mo>&cap;<\/mo><msup><mi>B<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">&prime;<\/mo><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">(A\\cup B)&rsquo;=A&rsquo;\\cap B&rsquo;<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">De Morgan&rsquo;s Second Law<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>A<\/mi><mo>&cap;<\/mo><mi>B<\/mi><msup><mo stretchy=\"false\">)<\/mo><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">&prime;<\/mo><\/msup><mo>=<\/mo><msup><mi>A<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">&prime;<\/mo><\/msup><mo>&cup;<\/mo><msup><mi>B<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">&prime;<\/mo><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">(A\\cap B)&rsquo;=A&rsquo;\\cup B&rsquo;<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">Universal Set Property<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>A<\/mi><mo>&cup;<\/mo><msup><mi>A<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">&prime;<\/mo><\/msup><mo>=<\/mo><mi>U<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">A\\cup A&rsquo;=U<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">Null Set Property<\/h2>\n\n\n\n<div class=\"internal-linking-related-contents\"><a href=\"https:\/\/mymockmate.com\/notes\/sets-exercise-1-1-solutions-class-11-maths-ncert\/\" class=\"template-2\"><span class=\"cta\">Related Topic to Read more<\/span><span class=\"postTitle\">Sets Exercise 1.1 Solutions Class 11 Maths NCERT<\/span><\/a><\/div><p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>A<\/mi><mo>&cap;<\/mo><msup><mi>A<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">&prime;<\/mo><\/msup><mo>=<\/mo><mi>&#981;<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">A\\cap A&rsquo;=\\phi<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Questions &amp; Step-by-step Solutions<\/h1>\n\n\n\n<h1 class=\"wp-block-heading\">Question 1<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Let:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>U = {1,2,3,4,5,6,7,8,9,10}<br>A = {1,3,5,7,9}<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Find A&prime;.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Complement means elements of U which are not in A.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore,<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A&prime; = {2,4,6,8,10}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 2<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Let:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>U = {a,b,c,d,e,f,g}<br>A = {a,c,e,g}<\/code><\/pre>\n\n\n\n<div class=\"internal-linking-related-contents\"><a href=\"https:\/\/mymockmate.com\/notes\/sets-exercise-1-2-solutions-class-11-maths-ncert\/\" class=\"template-2\"><span class=\"cta\">Related Topic to Read more<\/span><span class=\"postTitle\">Sets Exercise 1.2 Solutions Class 11 Maths NCERT<\/span><\/a><\/div><p class=\"wp-block-paragraph\">Find A&prime;.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Elements not present in A are:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A&prime; = {b,d,f}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 3<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">If:<\/p><div class=\"mymoc-middle mymoc-entity-placement\" id=\"mymoc-467577544\"><div id=\"mymoc-527034287\"><a href=\"https:\/\/amzn.to\/4v5gV6P\" aria-label=\"calculators\"><img src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/calculators.png\" alt=\"\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/calculators.png 1302w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/calculators-300x99.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/calculators-1024x338.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/calculators-768x254.png 768w\" sizes=\"(max-width: 1302px) 100vw, 1302px\" width=\"1302\" height=\"430\"><\/a><\/div><\/div>\n\n\n\n<pre class=\"wp-block-code\"><code>U = {1,2,3,4,5,6,7,8}<br>A = {2,4,6,8}<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Find:<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(i) A &cup; A&prime;<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>A &cup; A&prime; = U<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">(ii) A &cap; A&prime;<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>A &cap; A&prime; = &phi;<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 4<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Verify De Morgan&rsquo;s Laws.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Let:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>U = {1,2,3,4,5,6}<br>A = {1,2,3}<br>B = {3,4,5}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">(i)<\/h2>\n\n\n\n<div class=\"internal-linking-related-contents\"><a href=\"https:\/\/mymockmate.com\/notes\/sets-exercise-1-3-solutions-class-11-maths-ncert\/\" class=\"template-2\"><span class=\"cta\">Related Topic to Read more<\/span><span class=\"postTitle\">Sets Exercise 1.3 Solutions Class 11 Maths NCERT<\/span><\/a><\/div><p class=\"wp-block-paragraph\">Verify:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>A<\/mi><mo>&cup;<\/mo><mi>B<\/mi><msup><mo stretchy=\"false\">)<\/mo><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">&prime;<\/mo><\/msup><mo>=<\/mo><msup><mi>A<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">&prime;<\/mo><\/msup><mo>&cap;<\/mo><msup><mi>B<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">&prime;<\/mo><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">(A\\cup B)&rsquo;=A&rsquo;\\cap B&rsquo;<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">First,<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A &cup; B = {1,2,3,4,5}<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore,<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(A &cup; B)' = {6}<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Now,<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A' = {4,5,6}<br>B' = {1,2,6}<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Hence,<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A' &cap; B' = {6}<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore,<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(A &cup; B)' = A' &cap; B'<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Verified.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">(ii)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Verify:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>A<\/mi><mo>&cap;<\/mo><mi>B<\/mi><msup><mo stretchy=\"false\">)<\/mo><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">&prime;<\/mo><\/msup><mo>=<\/mo><msup><mi>A<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">&prime;<\/mo><\/msup><mo>&cup;<\/mo><msup><mi>B<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">&prime;<\/mo><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">(A\\cap B)&rsquo;=A&rsquo;\\cup B&rsquo;<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>A &cap; B = {3}<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore,<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(A &cap; B)' = {1,2,4,5,6}<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Now,<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A' &cup; B' = {1,2,4,5,6}<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Hence,<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(A &cap; B)' = A' &cup; B'<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Verified.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 5<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">If:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>U = {1,2,3,4,5,6,7,8,9}<br>A = {2,4,6,8}<br>B = {1,2,3,4}<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Find:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">(i)<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>A &cup; B<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>A &cup; B = {1,2,3,4,6,8}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">(ii)<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>A &cap; B<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>A &cap; B = {2,4}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">(iii)<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>A - B<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>A - B = {6,8}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">(iv)<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>B - A<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>B - A = {1,3}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 6<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Show that:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>A<\/mi><mo>&cup;<\/mo><mi>&#981;<\/mi><mo>=<\/mo><mi>A<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">A\\cup \\phi=A<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Union with empty set does not add any element.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore,<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A &cup; &phi; = A<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 7<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Show that:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>A<\/mi><mo>&cap;<\/mo><mi>U<\/mi><mo>=<\/mo><mi>A<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">A\\cap U=A<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Every element of A belongs to U.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Hence,<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A &cap; U = A<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Common Mistakes<\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Forgetting universal set while finding complement<\/li>\n\n\n\n<li>Confusing complement with difference of sets<\/li>\n\n\n\n<li>Writing repeated elements<\/li>\n\n\n\n<li>Incorrect use of Venn diagrams<\/li>\n\n\n\n<li>Forgetting De Morgan&rsquo;s laws<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Exam Tips<\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Learn all set formulas properly.<\/li>\n\n\n\n<li>Practice Venn diagram questions regularly.<\/li>\n\n\n\n<li>Always write distinct elements only once.<\/li>\n\n\n\n<li>Remember complement is taken with respect to universal set.<\/li>\n\n\n\n<li>Practice De Morgan&rsquo;s laws carefully.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Practice MCQs<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">MCQ 1<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">If:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>U = {1,2,3,4,5}<br>A = {1,3,5}<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Then A&prime; is:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. {2,4}<br>B. {1,3,5}<br>C. &phi;<br>D. {2,3}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Answer<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>A. {2,4}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">MCQ 2<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Which relation is correct?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. A &cup; &phi; = &phi;<br>B. A &cap; U = &phi;<br>C. A &cup; &phi; = A<br>D. A &cap; A&prime; = A<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Answer<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>C. A &cup; &phi; = A<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">MCQ 3<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">If:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A &cap; B = &phi;<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">then sets are called:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. Equal sets<br>B. Universal sets<br>C. Disjoint sets<br>D. Finite sets<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Answer<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>C. Disjoint sets<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">FAQ Section<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">Q1. What is complement of a set?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Complement of set A contains all elements of universal set which are not in A.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">Q2. What is universal set?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The main set containing all elements under consideration is called universal set.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">Q3. What are disjoint sets?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Sets having no common element are called disjoint sets.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">Q4. What is De Morgan&rsquo;s Law?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">These are important laws relating complement, union and intersection of sets.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">CTA (Call To Action)<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">&#128216; Prepare Smarter with MyMockMate!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&#9989; Chapter-wise NCERT Solutions<br>&#9989; Important Notes &amp; MCQs<br>&#9989; Online Mock Tests<br>&#9989; Instant Result &amp; Analysis<br>&#9989; CBSE Board Preparation<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Start learning now on <a target=\"_blank\" rel=\"noreferrer noopener\" href=\"https:\/\/www.mymockmate.com?utm_source=chatgpt.com\">MyMockMate<\/a><\/p>\n<div class=\"pdfprnt-buttons pdfprnt-buttons-post pdfprnt-top-bottom-right\"><a href=\"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1915?print=print\" class=\"pdfprnt-button pdfprnt-button-print\" target=\"_blank\"><img decoding=\"async\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/plugins\/pdf-print\/images\/print.png\" alt=\"image_print\" title=\"Print Content\"><span class=\"pdfprnt-button-title pdfprnt-button-print-title\">Print<\/span><\/a> <span class=\"pdfprnt-count-generation\">11<\/span><\/div><div class=\"mymoc-bottom mymoc-entity-placement\" id=\"mymoc-890361704\"><div id=\"mymoc-1698901228\"><a href=\"https:\/\/amzn.to\/4upqwUD\" aria-label=\"laptop-1\"><img src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/laptop-1.png\" alt=\"\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/laptop-1.png 1303w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/laptop-1-300x91.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/laptop-1-1024x310.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/laptop-1-768x233.png 768w\" sizes=\"(max-width: 1303px) 100vw, 1303px\" width=\"1303\" height=\"395\"><\/a><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p> 11 Short Intro In this post, students can find complete NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.5 &ndash; Sets. This exercise&#8230;<\/p>\n","protected":false},"author":1,"featured_media":1916,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"postBodyCss":"","postBodyMargin":[],"postBodyPadding":[],"postBodyBackground":{"backgroundType":"classic","gradient":""},"footnotes":""},"categories":[6,9],"tags":[187,286,285,301,339,329,338,341,298,328,337,336,304,297,306,62,308,159,47,334,300,305,309,287,303,296,295,340,299],"class_list":["post-1915","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-class-11","category-maths-class-11","tag-cbse-board-maths-preparation","tag-cbse-class-11-maths","tag-class-11-maths","tag-class-11-maths-notes","tag-complement-of-set-problems","tag-complement-of-sets","tag-de-morgan-laws","tag-de-morgans-laws-questions","tag-difference-of-sets","tag-disjoint-sets","tag-exercise-1-5-ncert-solutions","tag-exercise-1-5-solutions","tag-important-questions-sets","tag-intersection-of-sets","tag-mathematical-sets","tag-maths-chapter-1-solutions","tag-mymockmate","tag-ncert-maths-notes","tag-ncert-solutions","tag-set-identities","tag-set-operations","tag-set-theory-basics","tag-sets","tag-sets-chapter-1","tag-sets-mcqs","tag-union-of-sets","tag-universal-set","tag-universal-set-questions","tag-venn-diagram"],"featured_image_src":"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/Sets-Exercise-1.5-Solutions-Class-11-Maths-NCERT.png","author_info":{"display_name":"Team Mymockmate","author_link":"https:\/\/mymockmate.com\/notes\/author\/bsm_adm\/"},"_links":{"self":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1915","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/comments?post=1915"}],"version-history":[{"count":1,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1915\/revisions"}],"predecessor-version":[{"id":1917,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1915\/revisions\/1917"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/media\/1916"}],"wp:attachment":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/media?parent=1915"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/categories?post=1915"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/tags?post=1915"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}