If a:b = 6:9 and b:c = 9:6, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 6:9 and b:c = 9:6, then a:b:c = ?

A. 6:9:6

B. 12:18:12

C. 6:10:6

D. 5:9:7

Answer: Option A

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 6:9, b:c = 9:6 ⇒ a:b:c = 6:9:6.

This question belongs to: Maths Ratio and Proportion

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Question #1

If a:b = 8:6 and b:c = 6:12, then a:b:c = ?

A. 8:7:12

B. 7:6:13

C. 16:12:24

D. 8:6:12

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 8:6, b:c = 6:12 ⇒ a:b:c = 8:6:12.

This question belongs to: Maths Ratio and Proportion

Question #2

Two numbers are in the ratio 15:6 and their sum is 278. Find the numbers.

A. 390 and 156

B. 195 and 78

C. 221 and 61

D. 181 and 92

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Correct Answer: Option B

Explanation:
Numbers = 15k and 6k. 15k + 6k = 278 ⇒ k = 13. Thus, numbers are 195 and 78.

This question belongs to: Maths Ratio and Proportion

Question #3

Two numbers are in ratio 9:7. Their difference is 150. What is their sum?

A. 423

B. 326

C. 144

D. 288

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Correct Answer: Option D

Explanation:
Numbers 9k, 7k. Difference |9-7|k = 150 ⇒ k = 75. Sum = (9+7)k ≈ 288.

This question belongs to: Maths Ratio and Proportion

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