{"id":8628,"date":"2024-02-12T03:27:45","date_gmt":"2024-02-11T21:57:45","guid":{"rendered":"https:\/\/tsboardsolutions.in\/?p=8628"},"modified":"2024-02-13T17:50:03","modified_gmt":"2024-02-13T12:20:03","slug":"ts-6th-class-maths-solutions-chapter-3-ex-3-7","status":"publish","type":"post","link":"https:\/\/tsboardsolutions.in\/ts-6th-class-maths-solutions-chapter-3-ex-3-7\/","title":{"rendered":"TS 6th Class Maths Solutions Chapter 3 Playing with Numbers Ex 3.7"},"content":{"rendered":"

Students can practice TS 6th Class Maths Solutions<\/a> Chapter 3 Playing with Numbers Ex 3.7 to get the best methods of solving problems.<\/p>\n

TS 6th Class Maths Solutions Chapter 3 Playing with Numbers Exercise 3.7<\/h2>\n

Question 1.
\nWhich of the following numbers are divisible by 4 ?
\n(i) 572
\nAnswer:
\nThe given number is 572.
\nThe number formed by its last two digits is 72.
\nIt is divisible by 4. So, the given number is divisible by 4.<\/p>\n

\"TS<\/p>\n

(ii) 21,084
\nAnswer:
\nThe given number is 21,084.
\nThe number formed by its last two digits is 84.
\nIt is divisible by 4. So, the given number is divisible by 4.<\/p>\n

(iii) 14,560
\nAnswer:
\nThe given number is 14,560.
\nThe number formed by its last two digits is 60.
\nIt is divisible by 4. So, the given number is divisible by 4.<\/p>\n

(iv) 1,700
\nAnswer:
\nThe given number is 1,700.
\n1700 = 1000 + 600 + 100
\n1000, 600 and 100 are multiples of 100, they are completely divisible by 4.
\nSo, the given number is divisible by 4.<\/p>\n

(v) 2,150
\nAnswer:
\nThe given number is 2,150.
\nThe number formed by its last two digits is 50.
\nIt is not divisible by 4.
\nSo, the given number is not divisible by 4.<\/p>\n

Question 2.
\nTest whether the following numbers are divisible by 8.
\n(i) 9774
\nAnswer:
\nThe given number is 9774.
\nThe number formed by its last three digits is 774.
\nIt is not divisible by 8.
\nSo, the given number is not divisible by 8.<\/p>\n

(ii) 531048
\nAnswer:
\nThe given number is 531048.
\nThe number formed by its last three digits is 048.
\nIt is divisible by 8.
\nSo, the given number is divisible by 8.<\/p>\n

(iii) 5500
\nAnswer:
\nThe given number is 5500.
\nThe number formed by its last three digits is 500.
\nIt is not divisible by 8.
\nSo, the given number is not divisible by 8.<\/p>\n

(iv) 6136
\nAnswer:
\nThe given number is 6136.
\nThe number formed by its last three digits is 136.
\nIt is divisible by 8.
\nSo, the given number is divisible by 8.<\/p>\n

(v) 4152
\nAnswer:
\nThe given number is 4152.
\nThe number formed by its last three digits is 152.
\nIt is divisible by 8.
\nSo, the given number is divisible by 8.<\/p>\n

\"TS<\/p>\n

Question 3.
\nCheck whether the following numbers are divisible by 11.
\n(i) 859484
\nAnswer:
\nThe given number is 859484.
\nSum of the digits at odd places = 4 + 4 + 5 = 13
\nSum of the digits at even places = 8 + 9 + 8 = 25
\nTheir difference = 25 – 13 = 12
\nThis difference is not either 0 or divisible by 11.
\nSo, the given number is not divisible by 11.<\/p>\n

(ii) 10824
\nAnswer:
\nThe given number is 10824.
\nSum of the digits at odd places. = 4 + 8 + 1 = 13
\nSum of the digits at even places = 2 + 0 = 2
\nTheir difference =13 – 2 = 11
\nThis difference 11 is divisible by 11.
\n\u2234 The given number is divisible by 11.<\/p>\n

(iii) 20801
\nAnswer:
\nThe given number is 20801.
\nSum of the digits at odd places = 1 + 8 + 2 = 11
\nSum of the digits at even places = 0 + 0 = 0
\nTheir difference = 11 – 0 = 11
\nThis difference 11 is divisible by 11.
\n\u2234 The given number is divisible by 11.<\/p>\n

Question 4.
\nVerify whether the following numbers are divisible by 4 and by 8 ?
\n(i) 2104
\nAnswer:
\nThe given number is 2104.
\nThe number formed by its last two digits is 04.
\nIt is divisible by 4. So, the given number is divisible by 4,
\nThe number formed by its last three digits is 104. It is divisible by 8.
\nSo, the given number is divisible by 8.<\/p>\n

(ii) 726352
\nAnswer:
\nThe given number is 726352.
\nThe number formed by its last two ‘ digits is 52.
\nIt is divisible by 4. So, the given number is divisible by 4.
\nThe number formed by its last three digits is 352. It is divisible by 8.
\nSo, the given number is divisible by 8.<\/p>\n

(iii) 1800
\nAnswer:
\nThe given number is 1800.
\n1800 = 1000 + 800
\n1000 and 800 are multiples of 100.
\nWe know that 100 is divisible by 4. So, the given number is divisible by 4.
\nThe number formed by its last three digits is 800. It is divisible by 8.
\nSo, the given number is divisible by 8.<\/p>\n

Question 5.
\nFind the smallest number that must be added to 289279, so that it is divisible by 8 ?
\nAnswer:
\nThe given number is 289279.
\nThe number formed by its last three digits is 279.
\nIf 279 is to be exactly divisible by 8, we have to add 1 to it.
\n(i.e.,) 279 + 1 = 280; it is divisible by 8.
\nSo, 1 must be added to the given number, so that it is divisible by 8.<\/p>\n

\"TS<\/p>\n

Question 6.
\nFind the smallest number that can be subtracted from 1965, so that it becomes divisible by 4 ?
\nAnswer:
\nThe given number is 1965.
\nThe number formed by its last two digits is 65.
\nThe smallest number that can be subtracted from 65 is 1, so that it becomes divisible by 4.
\n(i.e.) 65 – 1 = 64
\nWe know that 64 is divisible by 4.<\/p>\n

Question 7.
\nWrite all the possible numbers between 1000 and 1100, that are divisible by 11 ?
\nAnswer:
\nWe know that 990 is divisible by 11 (\u2235 90 \u00d7 11 = 990)
\n990 is a multiple of 11.
\nThe possible numbers divisible by 11 are 1001, 1012, 1023, 1034, 1045, 1056, 1067, 1078, 1089.<\/p>\n

Question 8.
\nWrite the nearest number to 1240 which is divisible by 11 ?
\nAnswer:
\n11 \u00d7 112 = 1232
\n11 \u00d7 113 = 1243
\n\u2234 The nearest number to 1240 is 1243 but not 1232.
\n\u2234 1243 is the nearest number to 1240 which is divisible by 11.<\/p>\n

Question 9.
\nWrite the nearest number to 105 which is divisible by 4?
\nAnswer:
\nWe know that 4 \u00d7 25 = 100
\n4 \u00d7 26 = 104
\n4 \u00d7 27 = 108
\n\u2234 104 is the nearest number to 105 which is divisible by 4.<\/p>\n","protected":false},"excerpt":{"rendered":"

Students can practice TS 6th Class Maths Solutions Chapter 3 Playing with Numbers Ex 3.7 to get the best methods of solving problems. TS 6th Class Maths Solutions Chapter 3 Playing with Numbers Exercise 3.7 Question 1. Which of the following numbers are divisible by 4 ? (i) 572 Answer: The given number is 572. … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[15],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts\/8628"}],"collection":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/comments?post=8628"}],"version-history":[{"count":2,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts\/8628\/revisions"}],"predecessor-version":[{"id":8637,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts\/8628\/revisions\/8637"}],"wp:attachment":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/media?parent=8628"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/categories?post=8628"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/tags?post=8628"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}