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

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

A. 2:10:9

B. 6:20:16

C. 3:11:8

D. 3:10:8

Answer: Option D

Solution (By JKSSB Mock Tests)

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

This question belongs to: Maths Ratio and Proportion

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Question #1

If a:b = 4:3 and b:c = 3:7, then a:b:c = ?

A. 4:3:7

B. 8:6:14

C. 4:4:7

D. 3:3:8

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 4:3, b:c = 3:7 ⇒ a:b:c = 4:3:7.

This question belongs to: Maths Ratio and Proportion

Question #2

If a:b = 2:6 and b:c = 6:12, then a:b:c = ?

A. 1:6:13

B. 2:6:12

C. 2:7:12

D. 4:12:24

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 2:6, b:c = 6:12 ⇒ a:b:c = 2:6:12.

This question belongs to: Maths Ratio and Proportion

Question #3

Ratio of present ages of A and B is 4:7. After 11 years, the ratio becomes 5:8. Present age of A is?

A. 45 years

B. 80 years

C. 36 years

D. 40 years

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Correct Answer: Option D

Explanation:
Let ages 4k and 7k. Then (4k + 11)/(7k + 11) = 5/8. Solving gives k ≈ 10, age of A = 4*10 = 40.

This question belongs to: Maths Ratio and Proportion

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