{"id":733606,"date":"2024-09-12T13:05:43","date_gmt":"2024-09-12T07:35:43","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=733606"},"modified":"2024-09-12T14:46:01","modified_gmt":"2024-09-12T09:16:01","slug":"quiz-3-class-9-maths-chapter-1-real-numbers","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/free-online-quizzes\/class-9-maths-chapter-1-real-numbers-quiz-3\/","title":{"rendered":"Quiz 3 \u2013 Class 9 Maths Chapter 1 Real Numbers"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 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\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/free-online-quizzes\/class-9-maths-chapter-1-real-numbers-quiz-3\/#Class_9_Maths_Chapter_1_Real_Numbers_Quiz_Questions\" title=\"Class 9 Maths Chapter 1 Real Numbers Quiz Questions\">Class 9 Maths Chapter 1 Real Numbers Quiz Questions<\/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:\/\/infinitylearn.com\/surge\/free-online-quizzes\/class-9-maths-chapter-1-real-numbers-quiz-3\/#Class_9_Maths_Chapter_1_Real_Number_Of_Life_Quiz_3\" title=\"Class 9 Maths Chapter 1 Real Number Of Life Quiz 3\">Class 9 Maths Chapter 1 Real Number Of Life Quiz 3<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<ul>\n<li><strong>Time Limit:<\/strong> You have 15 minutes to complete the quiz.<\/li>\n<li><strong>Multiple Choice:<\/strong> Each question comes with several answer options.<\/li>\n<li><strong>One Correct Answer:<\/strong> Only one option is correct for each question.<\/li>\n<li><strong>No Negative Marking:<\/strong> There is no penalty for wrong answers.<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"Class_9_Maths_Chapter_1_Real_Numbers_Quiz_Questions\"><\/span>Class 9 Maths Chapter 1 Real Numbers Quiz Questions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Welcome to the quiz 3 on Chapter 1 \u2013 Real Numbers from your <a href=\"https:\/\/infinitylearn.com\/surge\/cbse\/cbse-class-9-maths-syllabus\/\"><strong>Class 9 Maths syllabus<\/strong><\/a>. This chapter explores the fundamentals of number systems and lays the foundation for your understanding of mathematical concepts. From natural numbers, whole numbers, and integers to rational and irrational numbers, this quiz will test your ability to recognize and apply the various types of numbers in different contexts. Let\u2019s see how well you\u2019ve grasped the basics and sharpen your mathematical skills. Get ready to challenge yourself and dive into the world of numbers!<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Class_9_Maths_Chapter_1_Real_Number_Of_Life_Quiz_3\"><\/span><span id=\"Class_9_Maths_Chapter_1_Real_Number_Of_Life_Quiz_1\" class=\"ez-toc-section\"><\/span>Class 9 Maths Chapter 1 Real Number Of Life Quiz 3<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Ques: A rational number between \u221a2 and \u221a3 is<\/strong><\/p>\n<p>a) \u221a2+\u221a3\/2<\/p>\n<p>b) \u221a3\u2212\u221a2\/2<\/p>\n<p>c) 2.5<\/p>\n<p>d) 1.5<\/p>\n<p><strong>Correct option:<\/strong> D<\/p>\n<p><strong>Ques: If x=2+\u221a3 then x+1\/x is<\/strong><\/p>\n<p>a) 4<\/p>\n<p>b) 2\u221a3<\/p>\n<p>c) 2 &#8211; \/\u221a3<\/p>\n<p>d) 4 + \u221a3<\/p>\n<p><strong>Correct option:<\/strong> A<\/p>\n<p>Give x=2+\u221a3<\/p>\n<p>1\/x=(1\/2+\u221a3)\u00d7(2\u2212\u221a3\/2\u2212\u221a3)<\/p>\n<p>=2\u2212\u221a3\/(2)2\u2212(\u221a3)2=2\u2212\u221a3\/4\u22123=2\u2212\u221a3\/1=2\u2212\u221a3<\/p>\n<p>\u2234 x+1x=2+\u221a3+2\u2212\u221a3<\/p>\n<p>=4<\/p>\n<p><strong>Ques: If \u221a45=a\u221a5 then a=<\/strong><\/p>\n<p>a) \u221a9<\/p>\n<p>b) \u221a15<\/p>\n<p>c) 3<\/p>\n<p>d) 15<\/p>\n<p><strong>Correct option:<\/strong> C<\/p>\n<p>\u221a45=a\u221a5\u21d2\u221a9\u00d75=a\u221a5\u21d2\u221a9\u00d7\u221a5=a\u221a5<\/p>\n<p>\u2234 a=\u221a9=3<\/p>\n<p>A:\u2009\u221a\u20099=\u221a3\u00d73=3<\/p>\n<p>B: \u221a15\u22603<\/p>\n<p>C:\u20093=3<\/p>\n<p>D: 15\u22603<\/p>\n<div class=\"card\" style=\"text-align: center;\"><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/one-stop-solutions-for-school-prep?utm_source=surge&amp;utm_medium=interlinking\"><br \/>\n<img loading=\"lazy\" class=\" lazyloaded\" style=\"width: 100%; border-radius: 10px;\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/09\/one-stop-solution-for-school-exam.jpg\" alt=\"one-stop-solutions school exam\" width=\"1201\" height=\"636\" data-src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/09\/one-stop-solution-for-school-exam.jpg\" \/><\/a><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/one-stop-solutions-for-school-prep?utm_source=surge&amp;utm_medium=interlinking\"><button><strong>One Stop Solutions for School Exam Preparation<\/strong><\/button><\/a><\/p>\n<div style=\"text-align: center;\">Boost your school preparation with our comprehensive guide for CBSE, ICSE, and State Board exams. Get all the resources you need in one place and excel in your academic journey. Discover the ultimate one-stop solution at Infinity Learn today!<\/div>\n<\/div>\n<p><strong>Ques: Statement I:<\/strong><sup>5<\/sup>\u221a6 &gt; <sup>6<\/sup>\u221a5<\/p>\n<p><strong>Statement II:<\/strong> The ascending order of <sup>3<\/sup>\u221a5, <sup>4<\/sup>\u221a6 and <sup>6<\/sup>\u221a7 is <sup>6<\/sup>\u221a7 &lt; <sup>4<\/sup>\u221a6 &lt; <sup>3<\/sup>\u221a5<\/p>\n<p>a) Both A and B are true<\/p>\n<p>b) Both A and B are false<\/p>\n<p>c) A is true and B is false<\/p>\n<p>d) A is false and B is true<\/p>\n<p><strong>Correct option:<\/strong> A<\/p>\n<p><strong>STATEMENT I<\/strong><\/p>\n<p><strong>L.C.M. of 5, 6 = 30<\/strong><\/p>\n<p>\u221a<sup>5<\/sup>6 = \u221a<sup>5\u00d76<\/sup>6 = \u221a<sup>30<\/sup>6<\/p>\n<p>\u221a<sup>6<\/sup>5 = \u221a<sup>6\u00d75<\/sup>5 = \u221a<sup>30<\/sup>5<\/p>\n<p>i.e., \u221a<sup>5<\/sup>6 &gt; \u221a<sup>6<\/sup>5 (true)<\/p>\n<p><strong>STATEMENT II<\/strong><\/p>\n<p><strong>L.C.M. of 3, 4, 6 = 12<\/strong><\/p>\n<p>\u221a<sup>3<\/sup>5 = \u221a<sup>12<\/sup>625<\/p>\n<p>\u221a<sup>4<\/sup>6 = \u221a<sup>12<\/sup>216<\/p>\n<p>\u221a<sup>6<\/sup>7 = \u221a<sup>12<\/sup>49<\/p>\n<p>Thus, the ascending order is \u221a<sup>12<\/sup>49 &lt; \u221a<sup>12<\/sup>216 &lt; \u221a<sup>12<\/sup>625<\/p>\n<p>i.e., \u221a<sup>6<\/sup>7 &lt; \u221a<sup>4<\/sup>6 &lt; \u221a<sup>3<\/sup>5 (true)<\/p>\n<p><strong>Ques: <\/strong>If x,y,z are three real numbers and if x&gt;y and z is a negative number then the following correct one is<\/p>\n<p>a) xz&gt;yz<\/p>\n<p>b) xz&lt;yz<\/p>\n<p>c) Both A and B<\/p>\n<p>d) Only A is correct<\/p>\n<p><strong>Correct option:<\/strong> B<\/p>\n<p>For example<\/p>\n<p>x=4;y=3;z=\u22125<\/p>\n<p>4&gt;3<\/p>\n<p>A: xz=4\u00d7(\u22125)=\u221220yz=3\u00d7(\u22125)=\u221215<\/p>\n<p>\u2234xz&lt;yz. So A is in correct.<\/p>\n<p>B: xz&lt;yz correct<\/p>\n<p>C: Both A and B is incorrect<\/p>\n<p>D: A is incorrect<\/p>\n<p><strong>Ques: Rational numbers and irrational numbers both are a part of a larger classification of numbers called _______.<\/strong><\/p>\n<p>a) imaginary numbers<\/p>\n<p>b) real numbers<\/p>\n<p>c) whole numbers<\/p>\n<p>d) Integers<\/p>\n<p><strong>Correct option:<\/strong> B<\/p>\n<p>Rational numbers and Irrational numbers both come under the classification of real numbers.<\/p>\n<p><strong>Ques: \u221a<sup>m<\/sup>\u221a<sup>n<\/sup>\u221a<sup>p<\/sup>a = ?<\/strong><\/p>\n<p>a) \u221a<sup>mn<\/sup>\u221a<sup>p<\/sup>\u221aa<\/p>\n<p>b) \u221a<sup>m<\/sup>\u221a<sup>np<\/sup>\u221aa<\/p>\n<p>c) \u221a<sup>p<\/sup>\u221a<sup>m<\/sup>\u221a<sup>n<\/sup>\u221aa<\/p>\n<p>d) \u221a<sup>p<\/sup>\u221a<sup>mnp<\/sup>\u221aa<\/p>\n<p><strong>Correct option:<\/strong> D<\/p>\n<p>A: \u221a<sup>m<\/sup>\u221a<sup>n<\/sup>\u221a<sup>p<\/sup>a = (a<sup>1\/p<\/sup>)<sup>1\/n<\/sup><sup>1\/m<\/sup> = a<sup>1\/(p\u00b7n\u00b7m)<\/sup> = \u221a<sup>mnp<\/sup>a<\/p>\n<p>B: \u221a<sup>m<\/sup>\u221a<sup>n<\/sup>a = (a<sup>1\/mnp<\/sup>) = a<sup>1\/(mnp)<\/sup> = \u221a<sup>mnp<\/sup>a<\/p>\n<p>C: \u221a<sup>p<\/sup>\u221a<sup>m<\/sup>\u221a<sup>n<\/sup>a = (a<sup>1\/(mnp)<\/sup>) = \u221a<sup>mnp<\/sup>a<\/p>\n<p>D: \u221a<sup>p<\/sup>\u221a<sup>mn<\/sup>\u221aa = (a<sup>1\/mnp<\/sup>) = \u221a<sup>mnp<\/sup>a<\/p>\n<p>So, all are correct<\/p>\n<p><strong>Ques: <\/strong>When an irrational and a rational number are added, the sum is a\/an _______ number.<\/p>\n<p>a) rational<\/p>\n<p>b) irrational<\/p>\n<p>c) positive<\/p>\n<p>d) negative<\/p>\n<p><strong>Correct option:<\/strong> B<\/p>\n<p>When an irrational number and a rational number are added, the sum is an irrational number. For example:<\/p>\n<p>When a rational number 2, and an irrational number \u221a3 are added, their sum is an irrational number 2+\u221a3.<\/p>\n<div class=\"card\" style=\"text-align: center;\"><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/jee-foundation-course-for-class-9?utm_source=surge&amp;utm_medium=interlinking\"><br \/>\n<img loading=\"lazy\" class=\" lazyloaded\" style=\"width: 100%; border-radius: 10px;\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/01\/JEE-Foundation-Course-for-Class-9-.png\" alt=\"JEE Foundation Course for Class 9\" width=\"1201\" height=\"636\" data-src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/01\/JEE-Foundation-Course-for-Class-9-.png\" \/><\/a><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/jee-foundation-course-for-class-9?utm_source=surge&amp;utm_medium=interlinking\"><button><strong>Best JEE Foundation Course for Class 9<\/strong><\/button><\/a><\/p>\n<div style=\"text-align: center;\">Start With our JEE Foundation Course for class 9 students. Master fundamentals &amp; prepare yourself for competitive exams.<\/div>\n<\/div>\n<p><strong>Ques: <\/strong>Considering these irrational numbers \u221a3,\u221a6,\u221a10 and \u221a5, find the irrational number which is closest to 3 and not exceeding 3.<\/p>\n<p>a) \u221a3<\/p>\n<p>b) \u221a6<\/p>\n<p>c) \u221a10<\/p>\n<p>d) \u221a5<\/p>\n<p><strong>Correct option:<\/strong> B<\/p>\n<p>The values of the given irrational numbers are as follows:<\/p>\n<p>3=1.732020\u2026<\/p>\n<p>6=2.449489\u2026<\/p>\n<p>10=3.162277\u2026<\/p>\n<p>5=2.236067\u2026<\/p>\n<p>Therefore, 6 is the closest to 3.<\/p>\n<p><strong>Ques: The product of two rational numbers can never be ________. <\/strong><\/p>\n<p>a) rational<\/p>\n<p>b) irrational<\/p>\n<p>c) positive<\/p>\n<p>d) negative<\/p>\n<p><strong>Correct option:<\/strong> A<\/p>\n<p>The product of two rational numbers can never be irrational.<\/p>\n<p>For example:<\/p>\n<p>3\/2\u00d75\/4=15\/8<\/p>\n<p>Here, the product of two rational numbers 3\/2 and 5\/4 is also a rational number 15\/8.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Time Limit: You have 15 minutes to complete the quiz. Multiple Choice: Each question comes with several answer options. One [&hellip;]<\/p>\n","protected":false},"author":53,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Real Numbers","_yoast_wpseo_title":"Quiz 3 - Class 9 Maths Chapter 1 Real Number with Answers","_yoast_wpseo_metadesc":"Test your knowledge with Quiz 3 on Class 9 Maths Chapter 1 Real Number with Answers. 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