If a:b = 8:3 and b:c = 3:9, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 8:3 and b:c = 3:9, then a:b:c = ?

A. 8:3:9

B. 7:3:10

C. 16:6:18

D. 8:4:9

Answer: Option A

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 8:3, b:c = 3:9 ⇒ a:b:c = 8:3:9.

This question belongs to: Maths Ratio and Proportion

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Question #1

If a:b = 4:6 and b:c = 6:10, then a:b:c = ?

A. 8:12:20

B. 4:6:10

C. 3:6:11

D. 4:7:10

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 4:6, b:c = 6:10 ⇒ a:b:c = 4:6:10.

This question belongs to: Maths Ratio and Proportion

Question #2

Ratio of present ages of A and B is 5:8. After 12 years, the ratio becomes 6:11. Present age of A is?

A. 50 years

B. 55 years

C. 60 years

D. 110 years

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Correct Answer: Option B

Explanation:
Let ages 5k and 8k. Then (5k + 12)/(8k + 12) = 6/11. Solving gives k ≈ 11, age of A = 5*11 = 55.

This question belongs to: Maths Ratio and Proportion

Question #3

Two numbers are in ratio 11:6. Their difference is 58. What is their sum?

A. 272

B. 391

C. 136

D. 310

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Correct Answer: Option A

Explanation:
Numbers 11k, 6k. Difference |11-6|k = 58 ⇒ k = 11. Sum = (11+6)k ≈ 272.

This question belongs to: Maths Ratio and Proportion

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