{"id":68108,"date":"2021-08-31T13:07:00","date_gmt":"2021-08-31T07:37:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=68108"},"modified":"2021-08-31T14:14:54","modified_gmt":"2021-08-31T08:44:54","slug":"rd-sharma-solutions-class-11-maths-chapter-31-exercise-31-3","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-31-exercise-31-3\/","title":{"rendered":"RD Sharma Class 11 Solutions Chapter 31 Exercise 31.3 (Updated for 2021-22)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-121609\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Class-11-Solutions-Chapter-31-Exercise-31.3.jpg\" alt=\"RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.3\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Class-11-Solutions-Chapter-31-Exercise-31.3.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Class-11-Solutions-Chapter-31-Exercise-31.3-768x432.jpg 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong>RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.3:\u00a0<\/strong>We&#8217;ll go through compound statements and basic connectives like &#8220;AND&#8221; and &#8220;OR&#8221; in this exercise. Our experienced faculty team has created these solutions to assist students in analysing and improving their weaker portions in order to achieve good results. <a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-11-maths-rd-sharma-solutions\/\"><strong>RD Sharma Class 11 Solutions<\/strong><\/a> is one of the best reference books for students who want to improve their problem-solving skills. Students can get the <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-31-mathematical-reasoning\/\"><strong>RD Sharma Solutions Class 11 Maths Chapter 31<\/strong><\/a> Exercise 31.3 in pdf format for free by clicking on the links below.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69d32d55d6894\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" 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href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-31-exercise-31-3\/#download-rd-sharma-class-11-solutions-chapter-31-exercise-313-free-pdf\" title=\"Download RD Sharma Class 11 Solutions Chapter 31 Exercise 31.3 Free PDF\">Download RD Sharma Class 11 Solutions Chapter 31 Exercise 31.3 Free PDF<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-31-exercise-31-3\/#access-answers-to-rd-sharma-solutions-class-11-maths-chapter-31-exercise-313-important-question-with-answers\" title=\"Access answers to RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.3- Important Question with Answers\">Access answers to RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.3- Important Question with Answers<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link 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href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-31-exercise-31-3\/#where-can-i-download-rd-sharma-solutions-class-11-maths-chapter-31-exercise-313-free-pdf\" title=\"Where can I download RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.3 free PDF?\">Where can I download RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.3 free PDF?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-31-exercise-31-3\/#what-are-the-benefits-of-using-kopykitab%e2%80%99s-rd-sharma-solutions-class-11-maths-chapter-31-exercise-313\" title=\"What are the benefits of using Kopykitab\u2019s RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.3?\">What are the benefits of using Kopykitab\u2019s RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.3?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-class-11-solutions-chapter-31-exercise-313-free-pdf\"><\/span>Download RD Sharma Class 11 Solutions Chapter 31 Exercise 31.3 Free PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Solutions-Class-11-Maths-Chapter-31-Ex-31.3-1.pdf\">RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.3<\/a><\/p>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 800px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br \/><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Solutions-Class-11-Maths-Chapter-31-Ex-31.3-1.pdf\", \"#example1\");<\/script><\/p>\n<h3><span class=\"ez-toc-section\" id=\"access-answers-to-rd-sharma-solutions-class-11-maths-chapter-31-exercise-313-important-question-with-answers\"><\/span>Access answers to RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.3- Important Question with Answers<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>1. Find the component statements of the following compound statements:<br \/>(i) The sky is blue, and the grass is green.<br \/>(ii) The earth is round, or the sun is cold.<br \/>(iii) All rational numbers are real, and all real numbers are complex.<br \/>(iv) 25 is a multiple of 5 and 8.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><strong>(i)<\/strong>\u00a0The components of the compound statement are:<\/p>\n<p>P: The sky is blue.<\/p>\n<p>Q: The grass is green.<\/p>\n<p><br \/><strong>(ii)<\/strong>\u00a0The components of the compound statement are:<\/p>\n<p>P: The earth is round.<\/p>\n<p>Q: The sun is cold.<\/p>\n<p><br \/><strong>(iii)<\/strong>\u00a0The components of the compound statement are:<\/p>\n<p>P: All rational number is real.<\/p>\n<p>Q: All real numbers are complex.<\/p>\n<p><br \/><strong>(iv)<\/strong>\u00a0The components of the compound statement are:<\/p>\n<p>P: 25 is a multiple of 5.<\/p>\n<p>Q: 25 is a multiple of 8.<\/p>\n<p><strong>2. For each of the following statements determine whether an inclusive \u201cOR\u201d o exclusive \u201cOR\u201d is used. Give reasons for your answer.<br \/>(i) Students can take Hindi or Sanskrit as their third language.<br \/>(ii) To entry a country, you need a passport or a voter registration card.<br \/>(iii) A lady gives birth to a baby boy or a baby girl.<br \/>(iv) To apply for a driving license, you should have a ration card or a passport.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><strong>(i)<\/strong>\u00a0In the given statement \u201cStudents can take Hindi or Sanskrit as their third language.\u201d<\/p>\n<p>An exclusive \u201cOR\u201d is used because a student cannot take both Hindi and Sanskrit as the third language.<\/p>\n<p><br \/><strong>(ii)<\/strong>\u00a0In the given statement \u201cTo entry a country, you need a passport or a voter registration card.\u201d<\/p>\n<p>An inclusive \u201cOR\u201d is used because a person can have both a passport and a voter registration card to enter a country.<\/p>\n<p><strong>(iii)<\/strong>\u00a0In the given statement \u201cA lady gives birth to a baby boy or a baby girl.\u201d<\/p>\n<p>An exclusive \u201cOR\u201d is used because a lady cannot give birth to a baby who is both a boy and a girl.<\/p>\n<p><br \/><strong>(iv)<\/strong>\u00a0In the given statement \u201cTo apply for a driving license, you should have a ration card or a passport.\u201d<\/p>\n<p>An inclusive \u201cOR\u201d is used because a person can have both a ration card and passport to apply for a driving license.<\/p>\n<p><strong>3. Write the component statements of the following compound statements and check whether the compound statement is true or false:<br \/>(i) To enter into a public library children need an identification card from the school or a letter from the school authorities.<br \/>(ii) All rational numbers are real and all real numbers are not complex.<br \/>(iii) Square of an integer is positive or negative.<br \/>(iv) x = 2 and x = 3 are the roots of the equation 3x<sup>2<\/sup>\u00a0\u2013 x \u2013 10 = 0.<br \/>(v) The sand heats up quickly in the sun and does not cool down fast at night.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><strong>(i)<\/strong>\u00a0The components of the compound statement are:<\/p>\n<p>P: To get into a public library children need an identity card.<\/p>\n<p>Q: To get into a public library children need a letter from the school authorities.<\/p>\n<p>Both P and Q are true.<\/p>\n<p>Hence, the compound statement is true.<\/p>\n<p><br \/><strong>(ii)<\/strong>\u00a0The components of the compound statement are:<\/p>\n<p>P: All rational number is real.<\/p>\n<p>Q: All real numbers are not complex.<\/p>\n<p>P is true and Q is false then P and Q both are False.<\/p>\n<p>Hence, the compound statement is False<\/p>\n<p><br \/><strong>(iii)<\/strong>\u00a0The components of the compound statement are:<\/p>\n<p>P: Square of an integer is positive.<\/p>\n<p>Q: Square of an integer is negative.<\/p>\n<p>Both P and Q are true.<\/p>\n<p>Hence, the compound statement is True.<\/p>\n<p><br \/><strong>(iv)<\/strong>\u00a0The components of the compound statement are:<\/p>\n<p>P: x=2 is a root of the equation 3x<sup>2\u00a0<\/sup>\u2013 x \u2013 10 = 0<\/p>\n<p>Q: x = 3 is a root of the equation 3x<sup>2\u00a0<\/sup>\u2013 x \u2013 10 = 0<\/p>\n<p>P is true, but Q is false then P and Q both are False.<\/p>\n<p>Hence, the compound statement is False.<\/p>\n<p><br \/><strong>(v)<\/strong>\u00a0The components of the compound statement are:<\/p>\n<p>P: The sand heats up quickly in the sun.<\/p>\n<p>Q: The sand does not cool down fast at night.<\/p>\n<p>P is false and Q is also false then P and Q both are False.<\/p>\n<p>Hence, the compound statement is False.<\/p>\n<p><strong>4. Determine whether the following compound statements are true or false:<br \/>(i) Delhi is in India and 2 + 2 = 4<br \/>(ii) Delhi is in England and 2 + 2 = 4<br \/>(iii) Delhi is in India and 2 + 2 = 5<br \/>(iv) Delhi is in England and 2 + 2 = 5<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><strong>(i)<\/strong>\u00a0The components of the compound statement are:<\/p>\n<p>P: Delhi is in India.<\/p>\n<p>Q: 2 + 2 = 4<\/p>\n<p>Both P and Q are true.<\/p>\n<p>Hence, the compound statement is True.<\/p>\n<p><br \/><strong>(ii)<\/strong>\u00a0The components of the compound statement are:<\/p>\n<p>P: Delhi is in England.<\/p>\n<p>Q: 2 + 2 = 4<\/p>\n<p>P is false, and q is true. So, both P and Q are false.<\/p>\n<p>Hence, the compound statement is False.<\/p>\n<p><br \/><strong>(iii)<\/strong>\u00a0The components of the compound statement are:<\/p>\n<p>P: Delhi is in India.<\/p>\n<p>Q: 2 + 2 = 5<\/p>\n<p>P is true, and q is false. So, both P and Q are false.<\/p>\n<p>Hence, the compound statement is False.<\/p>\n<p><br \/><strong>(iv)<\/strong>\u00a0The components of the compound statement are:<\/p>\n<p>P: Delhi is in England.<\/p>\n<p>Q: 2 + 2 = 5<\/p>\n<p>Both P and Q are false.<\/p>\n<p>Hence, the compound statement is False.<\/p>\n<p>We have provided complete details of RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.3. If you have any queries related to <a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener\"><strong>CBSE<\/strong><\/a>\u00a0Class 11, feel free to ask us in the comment section below.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-class-11-solutions-chapter-31-exercise-313\"><\/span>FAQs on RD Sharma Class 11 Solutions Chapter 31 Exercise 31.3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1630397536649\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-questions-are-there-in-rd-sharma-solutions-class-11-maths-chapter-31-exercise-313\"><\/span>How many questions are there in RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.3?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There are a total of 4 questions in RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.3.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1630397628761\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"where-can-i-download-rd-sharma-solutions-class-11-maths-chapter-31-exercise-313-free-pdf\"><\/span>Where can I download RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.3 free PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can download RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.3 free PDF from the above article.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1630397629470\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-are-the-benefits-of-using-kopykitab%e2%80%99s-rd-sharma-solutions-class-11-maths-chapter-31-exercise-313\"><\/span>What are the benefits of using Kopykitab\u2019s RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.3?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The following are some of the benefits of using Kopykitab\u2019s RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.3:<br \/>1. Correct answers according to the last CBSE guidelines and syllabus.<br \/>2. The solutions are written in simple language to assist students in their board examination, &amp; competitive examination preparation.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.3:\u00a0We&#8217;ll go through compound statements and basic connectives like &#8220;AND&#8221; and &#8220;OR&#8221; in this exercise. Our experienced faculty team has created these solutions to assist students in analysing and improving their weaker portions in order to achieve good results. RD Sharma Class 11 Solutions is one &#8230; <a title=\"RD Sharma Class 11 Solutions Chapter 31 Exercise 31.3 (Updated for 2021-22)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-31-exercise-31-3\/\" aria-label=\"More on RD Sharma Class 11 Solutions Chapter 31 Exercise 31.3 (Updated for 2021-22)\">Read more<\/a><\/p>\n","protected":false},"author":238,"featured_media":121609,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73411,2985,73410],"tags":[3428,73334,73564,4388],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/68108"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/238"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=68108"}],"version-history":[{"count":4,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/68108\/revisions"}],"predecessor-version":[{"id":121702,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/68108\/revisions\/121702"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/121609"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=68108"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=68108"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=68108"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}