If a:b = 7:4 and b:c = 4:10, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 7:4 and b:c = 4:10, then a:b:c = ?

A. 7:5:10

B. 7:4:10

C. 6:4:11

D. 14:8:20

Answer: Option B

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 7:4, b:c = 4:10 ⇒ a:b:c = 7:4:10.

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 5:8. After 12 years, the ratio becomes 6:11. Present age of A is?

A. 50 years

B. 55 years

C. 110 years

D. 60 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 #2

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Find the mean proportional between 36 and 21.

A. 54

B. 57

C. 30

D. 27

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Correct Answer: Option D

Explanation:
Mean proportional = √(36 × 21) = √(756) = 27.

This question belongs to: Maths Ratio and Proportion

Question #3

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

A. 7:9:9

B. 8:9:8

C. 8:10:8

D. 16:18:16

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Correct Answer: Option B

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

This question belongs to: Maths Ratio and Proportion

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