{"id":24999,"date":"2021-06-21T18:20:51","date_gmt":"2021-06-21T12:50:51","guid":{"rendered":"https:\/\/mcq-questions.com\/?p=24999"},"modified":"2022-03-02T10:38:04","modified_gmt":"2022-03-02T05:08:04","slug":"ncert-solutions-for-class-6-maths-chapter-3-ex-3-5","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-6-maths-chapter-3-ex-3-5\/","title":{"rendered":"NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Ex 3.5"},"content":{"rendered":"

These\u00a0NCERT Solutions for Class 6 Maths<\/a> Chapter 3 Playing With Numbers Ex 3.5 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Exercise 3.5<\/h2>\n

Question 1.
\nWhich of the following statements are true:
\n(a) If a number is divisible by 3, it must be divisible by 9.
\n(b) If a number is divisible by 9, it must be divisible by 3.
\n(c) A number is divisible by 18, if it is divisible by both 3 and 6.
\n(d) If a number is divisible by 9 and 10 both, then it must be divisible by 90.
\n(e) If two numbers are co-primes, at least one of them must be prime.
\n(f) All numbers which are divisible by 4 must also be divisible by 8.
\n(g) All numbers which are divisible by 8 must also be divisible by 4.
\n(h) If a number exactly divides two numbers separately, it must exactly divide their sum.
\n(i) If a number is exactly divides the sum of two numbers, it must exactly divide the two numbers separately.
\nAnswer:
\nStatements (b), (d), (g) and (h) are true.<\/p>\n

\"NCERT<\/p>\n

Question 2.
\nHere are two different factor trees for 60. Write the missing numbers.
\n\"NCERT
\nAnswer:
\n\"NCERT
\nSince, 6 = 2 \u00d7 3
\nand 10 = 5 \u00d7 2
\n\"NCERT
\nSince, 60 = 30 \u00d7 2
\n30= 10 \u00d7 3
\n10 = 5 \u00d7 2<\/p>\n

Question 3.
\nWhich factors are not included in the prime factorisation of a composite number?
\nAnswer:
\n1 and the number it self are not included in the prime factorisation of a composite number.<\/p>\n

Question 4.
\nWrite the greatest 4-digit number and express it in terms of its prime factors.
\nAnswer:
\nThe greatest 4-digit number = 9999
\n\"NCERT
\nThe prime factors of 9999 are 3 \u00d7 3 \u00d7 11 \u00d7 101.<\/p>\n

Question 5.
\nWrite the smallest 5-digit number and express it in the form of its prime factors.
\nAnswer:
\nThe smallest five digit number is 10000.
\n\"NCERT
\nThe prime factors of 10000 are 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 5 \u00d7 5 \u00d7 5 \u00d7 5.<\/p>\n

\"NCERT<\/p>\n

Question 6.
\nFind all the prime factors of 1729 and arrange them in ascending order. Now state the relation, if any, between, two consecutive prime factors.
\nAnswer:
\nPrime factors of 1729 are 7 \u00d7 13 \u00d7 19.
\n\"NCERT
\nThe difference of two consecutive prime factors is 6.<\/p>\n

Question 7.
\nThe product of three consecutive numbers is always divisible by 6. Verify this statement with the help of some examples.
\nAnswer:
\nAmong the three consecutive numbers, there must be one even number and one multiple of 3. Thus, the product must be multiple of 6.
\nExample: (i) 2 \u00d7 3 \u00d7 4 = 24
\n(ii) 4 \u00d7 5 \u00d7 6 = 120<\/p>\n

Question 8.
\nThe sum of two consecutive odd numbers is divisible by 4. Verify this statement with the help of some examples.
\nAnswer:
\n3 + 5 = 8 and 8 is divisible by 4.
\n5 + 7 = 12 and 12 is divisible by 4.
\n7 + 9 = 16 and 16 is divisible by 4.
\n9 + 11 = 20 and 20 is divisible by 4.<\/p>\n

Question 9.
\nIn which of the following expressions, prime factorisation has been done?
\n(a) 24 = 2 \u00d7 3 \u00d7 4
\n(b) 56 = 7 \u00d7 2 \u00d7 2 \u00d7 2
\n(c) 70 = 2 \u00d7 5 \u00d7 7
\n(d) 54 = 2 \u00d7 3 \u00d7 9
\nAnswer:
\nIn expressions (b) and (c), prime factorisation has been done.<\/p>\n

\"NCERT<\/p>\n

Question 10.
\nDetermine if 25110 is divisible by 45. [Hint: 5 and 9 are co-prime numbers. Test the divisibility of the number by 5 and 9.
\nAnswer:
\nThe prime factorization of 45 = 5 \u00d7 9
\n25110 is divisible by 5 as \u20180\u2019 is at its unit place.
\n25110 is divisible by 9 as sum of digits is divisible by 9.
\nTherefore, the number must be divisible by 5 \u00d7 9 = 45<\/p>\n

Question 11.
\n18 is divisible by both 2 and 3. It is also divisible by 2 \u00d7 3 = 6. Similarly, a number is divisible by 4 and 6. Can we say that the number must be divisible by 4 \u00d7 6 = 24? If not, give an example to justify your answer.
\nAnswer:
\nNo, Number 12 is divisible by both 6 and 4 but 12 is not divisible by 24.<\/p>\n

Question 12.
\nI am the smallest number, having four different prime factors. Can you find me?
\nAnswer:
\nThe smallest four prime numbers are 2, 3, 5 and 7.
\nHence, the required number is 2 \u00d7 3 \u00d7 5 \u00d7 7 = 210<\/p>\n","protected":false},"excerpt":{"rendered":"

These\u00a0NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Ex 3.5 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Exercise 3.5 Question 1. Which of the following statements are true: (a) If a number is divisible by 3, it …<\/p>\n

NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Ex 3.5<\/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 3.5 - MCQ Questions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-6-maths-chapter-3-ex-3-5\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Ex 3.5 - MCQ Questions\" \/>\n<meta property=\"og:description\" content=\"These\u00a0NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Ex 3.5 Questions and Answers are prepared by our highly skilled subject experts. 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