{"id":11017,"date":"2023-06-05T15:26:36","date_gmt":"2023-06-05T09:56:36","guid":{"rendered":"https:\/\/apboardsolutions.in\/?p=11017"},"modified":"2023-06-06T17:53:24","modified_gmt":"2023-06-06T12:23:24","slug":"ap-board-6th-class-maths-solutions-chapter-6-ex-6-2","status":"publish","type":"post","link":"https:\/\/apboardsolutions.in\/ap-board-6th-class-maths-solutions-chapter-6-ex-6-2\/","title":{"rendered":"AP Board 6th Class Maths Solutions Chapter 6 Basic Arithmetic Ex 6.2"},"content":{"rendered":"

AP State Syllabus AP Board 6th Class Maths Solutions<\/a> Chapter 6 Basic Arithmetic Ex 6.2 Textbook Questions and Answers.<\/p>\n

AP State Syllabus 6th Class Maths Solutions 6th Lesson Basic Arithmetic Ex 6.2<\/h2>\n

Question 1.
\nCheck whether the following are in proportion? or not?
\n(a) 10, 12, 15, 18
\n(b) 11, 16, 16, 21
\n(c) 8, 13, 17, 19
\n(d) 30, 24, 20, 16
\nAnswer:
\na) 10, 12, 15, 18
\nGiven numbers are 10, 12, 15, 18.
\nIf a, b, c, d are in proportion i.e., a : b :: c : d,
\nthen product of extremes = product of means (a.d = b.c)
\n\"AP
\na : b :: c : d
\n10 \u00d7 18 = 12 \u00d7 15
\n180 = 180
\nIf the product of extremes is equal to the product of means, then the given numbers are in proportion.
\nSo, 10, 12, 15 and 18 are in proportion,<\/p>\n

\"AP<\/p>\n

b) 11, 16, 16, 21
\nGiven numbers are 11, 16, 16, 21.
\nIf a, b, c, d are in proportion i.e., a : b :: c : d, then product of extremes = product of means (a.d = b.c)
\n\"AP
\n11 \u00d7 21 = 16 \u00d7 16
\n231 \u2260 256
\nHere the product of extremes is not equal to the product of means, then the given numbers are not in proportion.
\nSo, 11,16, 16 and 21 are not in proportion.<\/p>\n

c) 8, 13, 17, 19
\nGiven numbers are 8, 13, 17,19.
\nIf a, b, c, d are in proportion i.e., a : b :: c : d,
\nthen the product of extremes = product of means (a.d = b.c)
\n\"AP
\n8 \u00d7 19 = 13 \u00d7 17
\n152 \u2260 221
\nHere the product of extremes is not equal to the product of means, then the given numbers are not in proportion.
\nSo, 8,13, 17 and 19 are not in proportion.<\/p>\n

d) 30, 24, 20, 16
\nGiven numbers are 30, 24, 20, 16.
\nIf a, b, c, d are in proportion i.e., a : b :: c : d,
\nthen the product of extremes = product of means (a.d = b.c)
\n30 : 24 :: 20 : 16
\n\"AP
\n480 = 480
\nHere the product of extremes is equal to the product of means, then the given numbers are in proportion.
\nSo, 30, 24, 20 and 16 are in proportion.<\/p>\n

\"AP<\/p>\n

Question 2.
\nWrite true or false for each of the following.
\na) 4 : 2 :: 14 : 7
\nb) 21 : 7 :: 15 : 5
\nc) 13 : 12 :: 12 : 13
\nd) 5 : 6 :: 7 : 8
\nAnswer:
\na) 4 : 2 :: 14 : 7
\nGiven proportion is 4 : 2 :: 14 : 7
\nIf a, b, c, d are in proportion, then a.d = b.c
\n\"AP
\n4 \u00d7 7 = 2 \u00d7 14
\n28 = 28
\nSo, the given proportion is true.<\/p>\n

b) 21 : 7 :: 15 : 5
\nGiven proportion is 21 : 7 : : 15 : 5
\nIf a, b, c, d are in proportion, then a.d = b.c
\n\"AP
\n21 \u00d7 5 = 7 \u00d7 15
\n105 = 105
\nSo, the given proportion is true.<\/p>\n

c) 13 : 12 :: 12 : 13
\nGiven proportion is 13 : 12 :: 12 : 13
\nIf a, b, c, d are in proportion, then a.d = b.c
\n\"AP
\n13 \u00d7 13 = 12 \u00d7 12
\n169 \u2260 144
\nSo, the given proportion is false.<\/p>\n

\"AP<\/p>\n

d) 5 : 6 :: 7 : 8
\nGiven proportion is 5 : 6 :: 7 : 8
\nIf a, b, c, d are in proportion, then a.d = b.c
\n\"AP
\n5 \u00d7 8 = 6 \u00d7 7
\n40 \u2260 42
\nSo, the given proportion is false.<\/p>\n

Question 3.
\nCheck whether the following form a proportion? Write middle terms and extremes where the ratios form a proportion.
\na) 15 cm, 1 m and Rs. 45, Rs. 300
\nb) 20 ml, 2 l and Rs. 100, Rs. 10,000
\nAnswer:
\na) 15 cm, 1 m and Rs. 45, Rs. 300
\nGiven values are 15 cm, 1 m and Rs. 45, Rs. 300
\nRatio of lengths = 15 cm : 1 m (convert metres into cm)
\n= 15 cm : 100 cm = 3 : 20 (write in simplest form)
\nRatio of amounts = Rs. 45 : Rs. 300 = 45 : 300 = 3 : 20
\nThe two ratios are equal.
\nSo, 3 : 20 :: 3 : 20 They are in proportion.
\nMiddle terms are 20, 3 and extremes are 3, 20.<\/p>\n

b) 20 ml, 2 l and Rs. 100, Rs. 10,000
\nGiven values are 20 ml, 2 l and Rs. 100, Rs. 10,000
\nRatio of quantities = 20 ml : 2 l (convert litres into ml)
\n= 20 : 2000 (write in simplest form)
\n= 1 : 100
\nRatio of amounts = Rs. 100 : Rs. 10,000 (write in simplest form)
\n= 1 : 100
\nThe two ratios are equal.
\nSo, 1 : 100 = 1 : 100
\n\u2234 They are in proportion.
\nMiddle terms are 100, 1 and extremes are 1, 100.<\/p>\n

\"AP<\/p>\n

Question 4.
\nFind the missing numbers in the following proportions.
\na) 8 : 12 :: \"AP : 48
\nb) 15 : \"AP :: 105 : 98
\nc) 34 : 102 :: 27 : \"AP
\nAnswer:
\na) 8 : 12 :: \"AP : 48
\nGiven proportion is 8 : 12 :: \"AP : 48
\nLet the missing number = x
\nIf the given numbers are in proportion, then
\nProduct of extremes = Product of means
\n\"AP
\n8 \u00d7 48 = 12 \u00d7 x (or) 12x = 8 \u00d7 48
\n\"AP
\n\u2234 Missing number in the proportion = 32<\/p>\n

b) 15 : \"AP :: 105 : 98
\nGiven proportion is 15 : \"AP : 105 : 98
\nLet the missing number = a
\nIf the given numbers are in proportion, then Product of extremes = product of means
\n\"AP
\n15 \u00d7 98 = 105 \u00d7 a (or) 105 a = 15 \u00d7 98
\n\"AP
\n\u2234 a = 14
\nMissing number in the proportion<\/p>\n

\"AP<\/p>\n

c) 34 : 102 :: 27 : \"AP
\nGiven proportion is 34 : 102 :: 27 : \"AP
\nLet the missing number = y
\nIf the given numbers are in proportion,
\nthen the product of extremes = product of means
\n\"AP
\nMissing number in the proportion = 81<\/p>\n","protected":false},"excerpt":{"rendered":"

AP State Syllabus AP Board 6th Class Maths Solutions Chapter 6 Basic Arithmetic Ex 6.2 Textbook Questions and Answers. AP State Syllabus 6th Class Maths Solutions 6th Lesson Basic Arithmetic Ex 6.2 Question 1. Check whether the following are in proportion? or not? (a) 10, 12, 15, 18 (b) 11, 16, 16, 21 (c) 8, … Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[10],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts\/11017"}],"collection":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/comments?post=11017"}],"version-history":[{"count":1,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts\/11017\/revisions"}],"predecessor-version":[{"id":41041,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts\/11017\/revisions\/41041"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/media?parent=11017"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/categories?post=11017"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/tags?post=11017"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}