NCERT Solutions for Class 6 Maths<\/a> Chapter 3 Playing With Numbers Ex 3.4 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\nNCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Exercise 3.4<\/h2>\n Question 1. \nFind the common factors of: \n(a) 20 and 28 \n(b) 15 and 25 \n(c) 35 and 50 \n(d) 56 and 120 \nAnswer: \n(a) Factors of 20 = 1, 2, 4, 5, 10, 20 \nFactors of 28 = 1,2, 4, 7, 14, 28 \nCommon factors = 1, 2, 4<\/p>\n
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(b) Factors of 15 = 1, 3, 5, 15 \nFactors of 25 = 1,5, 25 \nCommon factors = 1,5<\/p>\n
(c) Factors of 35 = 1, 5, 7, 35 \nFactors of 50 = 1, 2, 5, 10, 25, 50 \nCommon factors = 1, 5<\/p>\n
(d) Factors of 56 = 1, 2, 4, 7, 8, 14, 28, 56 \nFactors of 120 = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 60, 120 \nCommon factors = 1, 2, 4, 8<\/p>\n
Question 2. \nFind the common factors of: \n(a) 4, 8 and 12 \n(b) 5, 15 and 25 \nAnswer: \n(a) Factors of 4 = 1, 2, 4 \nFactors of 8 = 1, 2, 4, 8 \nFactors of 12 = 1, 2, 3, 4, 6, 12 \nCommon factors of 4,8 and 12 = 1,2,4<\/p>\n
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(b) Factors of 5 = 1, 5 \nFactors of 15 = 1, 3, 5, 15 \nFactors of 25 = 1, 5, 25 \nCommon factors of 5, 15 and 25 = 1, 5<\/p>\n
Question 3. \nFind first three common multiples of: \n(a) 6 and 8 \n(b) 12 and 18 \nAnswer: \n(a) Multiple of 6 = 6, 12, 18, 24, 30, 36, 42, 28, 54, 60, 72,… \nMultiple of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72,… \nCommon multiples of 6 and 8 = 24, 48, 72<\/p>\n
(b) Multiple of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120,… \nMultiple of 18 = 18, 36, 54, 72, 90, 108,… \nCommon multiples of 12 and 18 = 36, 72, 108<\/p>\n
Question 4. \nWrite all the numbers less than 100 which are common multiples of 3 and 4. \nAnswer: \nMultiple of 3 = 3,6, 9,12,15,18,21,24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99 Multiple of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100 \nCommon multiples of 3 and 4= 12,24, 36, 48, 60, 72, 84, 96<\/p>\n
Question 5. \nWhich of the following numbers are co-prime: \n(a) 18 and 35 \n(b) 15 and 37 \n(c) 30 and 415 \n(d) 17 and 68 \n(e) 216 and 215 \n(f) 81 and 16 \nAnswer: \n(a) Factors of 18 = 1, 2, 3, 6, 9, 18 \nFactors of 35 = 1, 5, 7, 35 \nCommon factor = 1 \nSince, both have only one common factor, i.e., 1, therefore, they are co-prime numbers.<\/p>\n
(b) Factors of 15 = 1, 3, 5, 15 \nFactors of 37 = 1, 37 \nCommon factor = 1 \nSince, both have only one common factor, i.e., 1, therefore, they are co-prime numbers.<\/p>\n
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(c) Factors of 30 = 1,2, 3, 5, 6, 15, 30 \nFactors of 415 = 1, 5,…, 83, 415 \nCommon factors =1,5 \nSince, both have more than one common factor, therefore, they are not co-prime numbers.<\/p>\n
(d) Factors of 17 = 1, 17 \nFactors of 68 = 1,2, 4, 17, 34, 68 \nCommon factors =1,17 \nSince, both have more than one common factor, therefore, they are not co-prime numbers.<\/p>\n
(e) Factors of 216 = 1, 2, 3, 4, 6, 8, 36, 72, 108,216 \nFactors of 215 = 1, 5, 43, 215 \nCommon factor = 1 \nSince, both have only one common factor, i.e., 1, therefore, they are coprime numbers.<\/p>\n
(f) Factors of 81 = 1,3, 9, 27, 81 \nFactors of 16 = 1, 2,4, 8, 16 \nCommon factor = 1 \nSince, both have only one common factor, i.e., 1, therefore, they are coprime numbers.<\/p>\n
Question 6. \nA number is divisible by both 5 and 12. By which other number will that number be always divisible? \nAnswer: \n5 x 12 = 60. The number must be divisible by 60.<\/p>\n
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Question 7. \nA number is divisible by 12. By what other numbers will that number be divisible? \nAnswer: \nFactors of 12 are 1, 2, 3, 4, 6 and 12. \nTherefore, the number also be divisible by 1, 2, 3 4 and 6.<\/p>\n","protected":false},"excerpt":{"rendered":"
These\u00a0NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Ex 3.4 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Exercise 3.4 Question 1. Find the common factors of: (a) 20 and 28 (b) 15 and 25 (c) 35 and …<\/p>\n
NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Ex 3.4<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[10],"tags":[],"yoast_head":"\nNCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Ex 3.4 - MCQ Questions<\/title>\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\t \n\t \n\t \n