NCERT Solutions for Class 6 Maths<\/a> Chapter 3 Playing With Numbers Ex 3.3 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\nNCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Exercise 3.3<\/h2>\n Question 1. \nUsing divisibility tests, determine which of the following numbers are divisible by 2; by 3; by 4; by 5; by 6; by 8; by 9; by 10; by 11 (say, yes or no): \nAnswer: \n <\/p>\n
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Question 2. \nUsing divisibility tests, determine which of the following numbers are divisible by 4; by 8: \n(a) 572 \n(b) 726352 \n(c) 5500 \n(d) 6000 \n(e) 12159 \n(f) 14560 \n(g) 21084 \n(h) 31795072 \n(i) 1700 \n(j) 2150 \nAnswer: \n(a) 572 \n\u2192 Divisible by 4 as its last two digits are divisible by 4. \n\u2192 Not divisible by 8 as its last three digits are not divisible by 8.<\/p>\n
(b) 726352 \n\u2192 Divisible by 4 as its last two digits are divisible by 4. \n\u2192 Divisible by 8 as its last three digits are divisible by 8.<\/p>\n
(c) 5500 \n\u2192 Divisible by 4 as its last two digits are divisible by 4. \n\u2192 Not divisible by 8 as its last three digits are not divisible by 8.<\/p>\n
(d) 6000 \n\u2192 Divisible by 4 as its last two digits are 0. \n\u2192 Divisible by 8 as its last three digits are 0.<\/p>\n
(e) 12159 \n\u2192 Not divisible by 4 and 8 as it is an odd number.<\/p>\n
(f) 14560 \n\u2192 Divisible by 4 as its last two digits are divisible by 4. \n\u2192 Divisible by 8 as its last three digits are divisible by 8.<\/p>\n
(g) 21084 \n\u2192 Divisible by 4 as its last two digits are divisible by 4. \n\u2192 Not divisible by 8 as its last three digits are not divisible by 8.<\/p>\n
(h) 31795072 \n\u2192 Divisible by 4 as its last two digits are divisible by 4. \n\u2192 Divisible by 8 as its last three digits are divisible by 8.<\/p>\n
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(i) 1700 \n\u2192 Divisible by 4 as its last two digits are 0. \n\u2192 Not divisible by 8 as its last three digits are not divisible by 8.<\/p>\n
(j) 2150 \n\u2192 Not divisible by 4 as its last two digits are not divisible by 4. \n\u2192 Not divisible by 8 as its last three digits are not divisible by 8.<\/p>\n
Question 3. \nUsing divisibility tests, determine which of following numbers are divisible by 6: \n(a) 297144 \n(b) 1258 \n(c) 4335 \n(d) 61233 \n(e) 901352 \n(f) 438750 \n(g) 1790184 \n(h) 12583 \n(i) 639210 \n(j) 17852 \nAnswer: \n(a) 297144 \n\u2192 Divisible by 2 as its unit\u2019s place is an even number. \n\u2192 Divisible by 3 as sum of its digits (= 27) is divisible by 3. \nSince the number is divisible by both 2 and 3, therefore, it is also divisible<\/p>\n
(b) 1258 \n\u2192 Divisible by 2 as its units place is an even number. \n\u2192 Not divisible by 3 as sum of its digits (= 16) is not divisible by 3. \nSince the number is not divisible by both 2 and 3, therefore, it is not divisible by 6.<\/p>\n
(c) 4335 \n\u2192 Not divisible by 2 as its unit\u2019s place is not an even number. \n\u2192 Divisible by 3 as sum of its digits (= 15) is divisible by 3. \nSince the number is not divisible by both 2 and 3, therefore, it is not divisible by 6.<\/p>\n
(d) 61233 \n\u2192 Not divisible by 2 as its unit\u2019s place is not an even number. \n\u2192 Divisible by 3 as sum of its digits (= 15) is divisible by 3. \nSince the number is not divisible by both 2 and 3, therefore, it is not divisible by 6.<\/p>\n
(e) 901352 \n\u2192 Divisible by 2 as its unit\u2019s place is an even number. \n\u2192 Not divisible by 3 as sum of its digits (= 20) is not divisible by 3. \nSince the number is not divisible by both 2 and 3, therefore, it is not divisible by 6.<\/p>\n
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(f) 438750 \n\u2192 Divisible by 2 as its unit\u2019s place is an even number. \n\u2192 Divisible by 3 as sum of its digits (= 27) is divisible by 3. \nSince the number is divisible by both 2 and 3, therefore, it is divisible by 6.<\/p>\n
(g) 1790184 \n\u2192 Divisible by 2 as its unit\u2019s place is an even number. \n\u2192 Divisible by 3 as sum of its digits (= 30) is divisible by 3. \nSince the number is divisible by both 2 and 3, therefore, it is divisible by 6.<\/p>\n
(h) 12583 \n\u2192 Not divisible by 2 as its unit\u2019s place is not an even number. \n\u2192 Not divisible by 3 as sum of its digits (= 19) is not divisible by 3. \nSince the number is not divisible by both 2 and 3, therefore, it is not divisible by 6.<\/p>\n
(i) 639210 \n\u2192 Divisible by 2 as its unit\u2019s place is an even number. \n\u2192 Divisible by 3 as sum of its digits (= 21) is divisible by 3. \nSince the number is divisible by both 2 and 3, therefore, it is divisible by 6.<\/p>\n
(j) 17852 \n\u2192 Divisible by 2 as its units place is an even number. \n\u2192 Not divisible by 3 as sum of its digits (= 23) is not divisible by 3. \nSince the number is not divisible by both 2 and 3, therefore, it is not divisible by 6.<\/p>\n
Question 4. \nUsing divisibility tests, determine which of the following numbers are divisible by 11: \n(a) 5445 \n(b) 10824 \n(c) 7138965 \n(d) 70169308 \n(e) 10000001 \n(f) 901153 \nAnswer: \n(a) 5445 \nSum of the digits at odd places =4+5=9 \n\u2192 Sum of the digits at even places =4+5=9 \n\u2192 Difference of both sums = 9-9 = 0 Since the difference is 0, therefore, the number is divisible by 11.<\/p>\n
(b) 10824 \n\u2192 Sum of the digits at odd places = 4 + 8 +1 = 13 \n\u2192 Sum of the digits at even places =2+0=2 \n\u2192 Difference of both sums = 13 – 2 = 11 Since the difference is 11, therefore, the number is divisible by 11.<\/p>\n
(c) 7138965 \n\u2192 Sum of the digits at odd places = 5 + 9 + 3 + 7 = 24 \n\u2192 Sum of the digits at even places = 6 + 8 + 1 = 15 \n\u2192 Difference of both sums = 24 – 15 = 9 \nSince the difference is neither 0 nor 11, therefore, the number is not divisible by 11.<\/p>\n
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(d) 70169308 \n\u2192 Sum of the digits at odd places = 8 + 3 + 6 + 0 = 17 \n\u2192 Sum of the digits at even places = 0 + 9 + 1 + 7 = 17 \n\u2192 Difference of both sums = 17 – 17 = 0 \nSince the difference is 0, therefore, the number is divisible by 11.<\/p>\n
(e) 10000001 \n\u2192 Sum of the digits at odd places \n= 1 + 0 + 0 + 0 = 1 \n\u2192 Sum of the digits at even places \n= 0 + 0 + 0 + 1 = 1 \n\u2192 Difference of both sums =1-1=0 Since the difference is 0, therefore, the number is divisible by 11.<\/p>\n
(f) 901153 \nSum of the digits at odd places = 3 + 1 +0 = 4 \n\u2192 Sum of the digits at even places = 5 + 1 + 9 = 15 \n\u2192 Difference of both sums =15 – 4 = 11 \nSince the difference is 11, therefore, the number is divisible by 11.<\/p>\n
Question 5. \nWrite the smallest digit and the greatest digit in the blanks space of each of the following numbers so that the number formed is divisibly by 3: \n(a) ………………. 6724 \n(b) 4765 ………………. 2 \nAnswer: \n(a) We know that a number is divisible by 3 if the sum of all digits is divisible by 3. \nTherefore, Smallest digit: 2 \u2192 26724 = 2 + 6 + 7 + 2 + 4 = 21 \nLargest digit: 8 \u2192 86724 = 8 + 6 + 7 + 2 + 4 = 27<\/p>\n
(b) We know that a number is divisible by 3 if the sum of all digits is divisible by 3. \nTherefore, Smallest digit: 0 \u2192 476502 =4+7+6+5+0+2=24 \nLargest digit: 9 \u2192 476592 = 9 + 4 + 7 + 6 + 5 + 0 + 2 = 33<\/p>\n
Question 6. \nWrite a digit in the blank space of each of the following numbers so that the number formed is divisibly by 11: \n(a) 92 …………… 389 \n(b) 8 ……………….. 9484 \nAnswer: \n(a) We know that a number is divisible by 11 if the difference of the sum of the digits at odd places and that of even places should be either 0 or 11. \nTherefore, 928389 \u2192 \nOdd places = 9 + 8 + 8 = 25 \nEven places = 2 + 3 + 9 = 14 \nDifference = 25 – 14 = 11<\/p>\n
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(b) We know that a number is divisible by 11 if the difference of the sum of the digits at odd places and that of even places should be either 0 or 11. \nTherefore, 869484 \u2192 \nOdd places = 8 + 9 + 8 = 25 \nEven places = 6 + 4 + 4 = 14 \nDifference = 25 – 14 = 11<\/p>\n","protected":false},"excerpt":{"rendered":"
These\u00a0NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Ex 3.3 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Exercise 3.3 Question 1. Using divisibility tests, determine which of the following numbers are divisible by 2; by 3; by …<\/p>\n
NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Ex 3.3<\/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 3.3 - 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