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

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

A. 4:7:10

B. 3:7:11

C. 4:8:10

D. 8:14:20

Answer: Option A

Solution (By JKSSB Mock Tests)

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

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 5:7. After 12 years, the ratio becomes 7:10. Present age of A is?

A. 170 years

B. 81 years

C. 90 years

D. 85 years

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Correct Answer: Option D

Explanation:
Let ages 5k and 7k. Then (5k + 12)/(7k + 12) = 7/10. Solving gives k ≈ 17, age of A = 5*17 = 85.

This question belongs to: Maths Ratio and Proportion

Question #2

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Find the mean proportional between 36 and 21.

A. 30

B. 27

C. 54

D. 57

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Correct Answer: Option B

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

This question belongs to: Maths Ratio and Proportion

Question #3

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Ratio of present ages of A and B is 7:6. After 11 years, the ratio becomes 9:9. Present age of A is?

A. 103 years

B. 196 years

C. 98 years

D. 95 years

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Correct Answer: Option C

Explanation:
Let ages 7k and 6k. Then (7k + 11)/(6k + 11) = 9/9. Solving gives k ≈ 14, age of A = 7*14 = 98.

This question belongs to: Maths Ratio and Proportion

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