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Write True (T) or False ( F ) against each of the following statements :
(a) 16 : 24 :: 20 : 30
(b) 21: 6 :: 35 : 10
(c) 12 : 18 :: 28 : 12
(d) 8 : 9 :: 24 : 27
(e) 5.2 : 3.9 :: 3 : 4
(f) 0.9 : 0.36 :: 10 : 4

Solution:

We will use the concept of proportion to solve this.

(a) 16: 24 :: 20: 30

⇒ 16 / 24 = 2 / 3

⇒ 20 / 30 = 2 / 3

⇒ 2 / 3 = 2 / 3

Hence, it is True

(b) 21: 6:: 35: 10

⇒ 21 / 6 = 7 / 2

⇒ 35 / 10 = 7 / 2

⇒ 7 / 2 = 7 / 2

Hence, it is True

(c) 12: 18 :: 28: 12

⇒ 12 / 18 = 2 / 3

⇒ 28 / 12 = 7 / 3

⇒ 2 / 3 ≠ 7 / 3

Hence, it is False

(d) 8: 9:: 24: 27

⇒ 24 / 27 = 8 / 9

⇒ 8 / 9 = 8 / 9

Hence, it is True

(e) 5.2: 3.9:: 3: 4

⇒ 5.2 / 3.9 = 4 / 3

⇒ 4 / 3 ≠ 3 / 4

Hence, it is False

(f) 0.9: 0.36:: 10: 4

⇒ 0.9 / 0.36 = 90 / 36 = 10 / 4

⇒ 10 / 4 = 10 / 4

Hence, it is True

You can also use Proportions Calculator to check your answer.

NCERT Solutions for Class 6 Maths Chapter 12 Exercise 12.2 Question 2

Write True (T) or False (F) against each of the following statements: (a) 16 : 24 :: 20 : 30 (b) 21: 6 :: 35 : 10 (c) 12 : 18 :: 28 : 12 (d) 8 : 9 :: 24 : 27 (e) 5.2 : 3.9 :: 3 : 4 (f) 0.9 : 0.36 :: 10 : 4

Summary:

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