If a:b = 3:8 and b:c = 8:10, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 3:8 and b:c = 8:10, then a:b:c = ?

A. 2:8:11

B. 3:9:10

C. 6:16:20

D. 3:8:10

Answer: Option D

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 3:8, b:c = 8:10 ⇒ a:b:c = 3:8:10.

This question belongs to: Maths Ratio and Proportion

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Question #1

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Ratio of present ages of A and B is 4:6. After 10 years, the ratio becomes 7:8. Present age of A is?

A. 32 years

B. 26 years

C. 64 years

D. 37 years

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Correct Answer: Option A

Explanation:
Let ages 4k and 6k. Then (4k + 10)/(6k + 10) = 7/8. Solving gives k ≈ 8, age of A = 4*8 = 32.

This question belongs to: Maths Ratio and Proportion

Question #2

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If a:b = 3:7 and b:c = 7:11, then a:b:c = ?

A. 6:14:22

B. 3:8:11

C. 3:7:11

D. 2:7:12

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 3:7, b:c = 7:11 ⇒ a:b:c = 3:7:11.

This question belongs to: Maths Ratio and Proportion

Question #3

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Ratio of present ages of A and B is 7:8. After 6 years, the ratio becomes 8:9. Present age of A is?

A. 105 years

B. 110 years

C. 97 years

D. 210 years

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Correct Answer: Option A

Explanation:
Let ages 7k and 8k. Then (7k + 6)/(8k + 6) = 8/9. Solving gives k ≈ 15, age of A = 7*15 = 105.

This question belongs to: Maths Ratio and Proportion

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