{"id":733665,"date":"2024-09-12T16:03:25","date_gmt":"2024-09-12T10:33:25","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=733665"},"modified":"2024-09-12T16:03:25","modified_gmt":"2024-09-12T10:33:25","slug":"quiz-5-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-5\/","title":{"rendered":"Quiz 5 \u2013 Class 9 Maths Chapter 1 Real Numbers"},"content":{"rendered":"<ul>\n<li><strong>Time Limit:<\/strong> 15 minutes to complete the quiz.<\/li>\n<li><strong>Multiple Choice:<\/strong> Each question has 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> No penalty for incorrect answers.<\/li>\n<\/ul>\n<p>Welcome to <strong>Quiz 5<\/strong> on <strong>Class 9 Maths Chapter 1 \u2013 Real Numbers <\/strong>from <a href=\"https:\/\/infinitylearn.com\/surge\/cbse\/cbse-class-9-maths-syllabus\/\"><strong>Class 9 Maths syllabus<\/strong><\/a>. This quiz will test your understanding of number systems, including natural, whole, integers, rational, and irrational numbers. Apply your knowledge and solve problem-based scenarios. Sharpen your mathematical skills and dive deep into the concepts covered in <a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-9\/\"><strong>NCERT Solutions for Class 9 Maths<\/strong><\/a>. Enhance your preparation with this quiz and refer to <a href=\"https:\/\/infinitylearn.com\/surge\/worksheets-class-9-maths\/\"><strong>Class 9 Maths worksheets<\/strong><\/a> for further practice. Good luck!<\/p>\n<h3><span id=\"Class_9_Maths_Chapter_1_Real_Number_Of_Life_Quiz_4\" class=\"ez-toc-section\"><\/span>Class 9 Maths Chapter 1 Real Number Of Life Quiz 5<\/h3>\n<p><strong>Ques: If \u221a45=a\u221a5, then find the value of a.<\/strong><\/p>\n<p>a) 9<\/p>\n<p>b) 8<\/p>\n<p>c) 2<\/p>\n<p>d) 3<\/p>\n<details>\n<summary><strong>Answer:<\/strong><\/summary>\n<p>D<\/p>\n<\/details>\n<p>\u221a45=a\u221a5<\/p>\n<p>\u21d2\u221a9\u00d75=a\u221a5<\/p>\n<p>\u21d2\u221a9\u00d7\u221a5=a\u221a5<\/p>\n<p>\u21d2a=\u221a9<\/p>\n<p>\u21d2a=3<\/p>\n<p><strong>Ques: The product of divisors of 343 is<\/strong><\/p>\n<p>a) 7\u00b2\/\u00b3<\/p>\n<p>b) 7\u00b2<\/p>\n<p>c) 7\u00b3<\/p>\n<p>d) 7<sup>6<\/sup><\/p>\n<details>\n<summary><strong>Answer:<\/strong><\/summary>\n<p>D<\/p>\n<\/details>\n<p>Math Expression<\/p>\n<p>Given: <strong>343 = 7<sup>3<\/sup><\/strong><\/p>\n<p>The number of divisors <strong>d(N)<\/strong> is:<\/p>\n<p><strong>d(N)<\/strong> = (n<sub>1<\/sub> + 1) = (3 + 1) = 4<\/p>\n<p>The product of divisors of <strong>N<\/strong> is:<\/p>\n<p><strong>Product of divisors of N<\/strong> = N<sup>1\/2 d(N)<\/sup><\/p>\n<p>Thus, the product of divisors of 343 is:<\/p>\n<p><strong>Product of divisors of 343<\/strong> = 343<sup>1\/2 \u00d7 4<\/sup> = 7<sup>3 \u00d7 2<\/sup> = 7<sup>6<\/sup><\/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: If 2<sup>1<\/sup>\/<sub>5<\/sub>x<sup>2<\/sup> = 1375, then the positive value of &#8216;x&#8217; is<\/strong><\/p>\n<p>a) 25<\/p>\n<p>b) 23<\/p>\n<p>c) 27<\/p>\n<p>d) 24<\/p>\n<details>\n<summary><strong>Answer:<\/strong><\/summary>\n<p>A<\/p>\n<\/details>\n<p><sup>21<\/sup>\/<sub>5<\/sub>x<sup>2<\/sup> = 1375 \u2192 <sup>11<\/sup>\/<sub>5<\/sub>x<sup>2<\/sup> = 1375x<sup>2<\/sup> = <sup>(1375 \u00d7 5)<\/sup>\/<sub>11<\/sub> = 625x = \u221a625 = \u00b1 25<\/p>\n<p><strong>Ques: Every irrational number is a _____ number.<\/strong><\/p>\n<p>a) Rational<\/p>\n<p>b) Integers<\/p>\n<p>c) Real<\/p>\n<p>d) Whole<\/p>\n<details>\n<summary><strong>Answer:<\/strong><\/summary>\n<p>C<\/p>\n<\/details>\n<p>Real numbers are numbers which are not imaginary. Real numbers are numbers which include rational and irrational numbers.<\/p>\n<p>Therefore, we can say that every irrational number is a real number.<\/p>\n<p><strong>Ques: ___ is not an irrational number.<\/strong><\/p>\n<p>a) 0<\/p>\n<p>b) \u221a3<\/p>\n<p>c) 0.12122122212222&#8230;&#8230;<\/p>\n<p>d) \u221a5<\/p>\n<details>\n<summary><strong>Answer:<\/strong><\/summary>\n<p>A<\/p>\n<\/details>\n<ul>\n<li>A rational number can be expressed as p\/q, where p and q are integers and q \u2260 0.<\/li>\n<li>Any number that cannot be represented as p\/q, where p and q are integers and q \u2260 0, is considered irrational.<\/li>\n<li>Since we can express 0 in p\/q form, it is not an irrational number.<\/li>\n<li>For example, 0\/1, 0\/2, etc.<\/li>\n<\/ul>\n<p><strong>Ques: The product of a non-zero rational number with an irrational number is always a\/an ________ number.<br \/>\n<\/strong><\/p>\n<p>a) rational<\/p>\n<p>b) irrational<\/p>\n<p>c) whole<\/p>\n<p>d) natural<\/p>\n<details>\n<summary><strong>Answer:<\/strong><\/summary>\n<p>B<\/p>\n<\/details>\n<p>The product of a non-zero rational number with an irrational number is always an <strong>irrational<\/strong> number.<\/p>\n<p>For example, 3 is a non-zero rational number and \u221a2 is an irrational number. The product of these two numbers is 3\u221a2, which is an irrational number.<\/p>\n<p><strong>Ques: What is the symbol used to represent irrational numbers?<br \/>\n<\/strong><\/p>\n<p>a) R<\/p>\n<p>b) Q<\/p>\n<p>c) P<\/p>\n<p>d) M<\/p>\n<details>\n<summary><strong>Answer:<\/strong><\/summary>\n<p>B<\/p>\n<\/details>\n<p>Real numbers consist of both rational and irrational numbers. <strong>(R &#8211; Q) <\/strong>defines that irrational numbers can be obtained by subtracting rational numbers (Q) from real numbers (R). This can also be written as <strong>(<\/strong>R\/Q<strong>). <\/strong><\/p>\n<p><strong>Hence Irrational Numbers Symbol = &#8216;Q&#8217;.<\/strong><\/p>\n<p><strong>Ques: Simplify: \u221a2\u00d7\u221a2<br \/>\n<\/strong><\/p>\n<p>a) 2<\/p>\n<p>b) <strong>\u221a<\/strong>2<\/p>\n<p>c) 4<\/p>\n<p>d) <strong>\u221a<\/strong>4<\/p>\n<details>\n<summary><strong>Answer:<\/strong><\/summary>\n<p>A<\/p>\n<\/details>\n<p><strong>\u221a<\/strong>2\u00d7<strong>\u221a<\/strong>2=<strong>\u221a<\/strong>2\u00d72=2<\/p>\n<p><strong>Ques: Simplify: \u221a36\u00d7\u221a2<br \/>\n<\/strong><\/p>\n<p>a) \u221a74<\/p>\n<p>b) 36\u221a2<\/p>\n<p>c) 2\u221a36<\/p>\n<p>d) 6\u221a2<\/p>\n<details>\n<summary><strong>Answer:<\/strong><\/summary>\n<p>D<\/p>\n<\/details>\n<p>Given, \u221a36\u00d7\u221a2<\/p>\n<p>=\u221a6\u00d76\u00d72<\/p>\n<p>=6\u00d7\u221a2<\/p>\n<p>=6\u221a2<\/p>\n<p>Therefore, \u221a36\u00d7\u221a2=6\u221a2<\/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: \u03c0 is an __________.<br \/>\n<\/strong><\/p>\n<p>a) rational number<\/p>\n<p>b) irrational number<\/p>\n<p>c) natural number<\/p>\n<p>d) a fraction<\/p>\n<details>\n<summary><strong>Answer:<\/strong><\/summary>\n<p>B<\/p>\n<\/details>\n<p>\u03c0 is an irrational number, which means that it is a real number that cannot be expressed by a simple fraction. That&#8217;s because \u03c0 is what mathematicians call an &#8220;infinite decimal&#8221; \u2014 after the decimal point, the digits go on forever and ever.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Time Limit: 15 minutes to complete the quiz. Multiple Choice: Each question has several answer options. One Correct Answer: Only [&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":"Quiz 1 - Class 9 Maths Chapter 1 Real Number with Answers","_yoast_wpseo_title":"Quiz 5 - Class 9 Maths Chapter 1 Real Number with Answers","_yoast_wpseo_metadesc":"Test your knowledge with Quiz 5 on Class 9 Maths Chapter 1 Real Number with Answers. 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