If a:b = 3:7 and b:c = 7:9, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 3:7 and b:c = 7:9, then a:b:c = ?

A. 3:8:9

B. 3:7:9

C. 2:7:10

D. 6:14:18

Answer: Option B

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 3:7, b:c = 7:9 ⇒ a:b:c = 3:7:9.

This question belongs to: Maths Ratio and Proportion

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Question #1

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Two numbers are in the ratio 13:11 and their sum is 287. Find the numbers.

A. 286 and 242

B. 138 and 127

C. 158 and 106

D. 143 and 121

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Correct Answer: Option D

Explanation:
Numbers = 13k and 11k. 13k + 11k = 287 ⇒ k = 11. Thus, numbers are 143 and 121.

This question belongs to: Maths Ratio and Proportion

Question #2

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Ratio of present ages of A and B is 7:8. After 11 years, the ratio becomes 8:9. Present age of A is?

A. 119 years

B. 131 years

C. 126 years

D. 252 years

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Correct Answer: Option C

Explanation:
Let ages 7k and 8k. Then (7k + 11)/(8k + 11) = 8/9. Solving gives k ≈ 18, age of A = 7*18 = 126.

This question belongs to: Maths Ratio and Proportion

Question #3

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If a:b = 5:3 and b:c = 3:7, then a:b:c = ?

A. 5:3:7

B. 4:3:8

C. 10:6:14

D. 5:4:7

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 5:3, b:c = 3:7 ⇒ a:b:c = 5:3:7.

This question belongs to: Maths Ratio and Proportion

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