If a:b = 5:3 and b:c = 3:7, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 5:3 and b:c = 3:7, then a:b:c = ?

A. 10:6:14

B. 4:3:8

C. 5:3:7

D. 5:4:7

Answer: Option C

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 5:3, b:c = 3:7 ⇒ a:b:c = 5:3:7.

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 6:4. After 5 years, the ratio becomes 9:7. Present age of A is?

A. 119 years

B. 228 years

C. 108 years

D. 114 years

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Correct Answer: Option D

Explanation:
Let ages 6k and 4k. Then (6k + 5)/(4k + 5) = 9/7. Solving gives k ≈ 19, age of A = 6*19 = 114.

This question belongs to: Maths Ratio and Proportion

Question #2

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Ratio of present ages of A and B is 4:6. After 8 years, the ratio becomes 6:9. Present age of A is?

A. 44 years

B. 36 years

C. 49 years

D. 88 years

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Correct Answer: Option A

Explanation:
Let ages 4k and 6k. Then (4k + 8)/(6k + 8) = 6/9. Solving gives k ≈ 11, age of A = 4*11 = 44.

This question belongs to: Maths Ratio and Proportion

Question #3

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If a:b = 5:7 and b:c = 7:5, then a:b:c = ?

A. 10:14:10

B. 4:7:6

C. 5:8:5

D. 5:7:5

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 5:7, b:c = 7:5 ⇒ a:b:c = 5:7:5.

This question belongs to: Maths Ratio and Proportion

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