If a:b = 7:3 and b:c = 3:8, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 7:3 and b:c = 3:8, then a:b:c = ?

A. 14:6:16

B. 7:3:8

C. 6:3:9

D. 7:4:8

Answer: Option B

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 7:3, b:c = 3:8 ⇒ a:b:c = 7:3:8.

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

A. 90 years

B. 42 years

C. 45 years

D. 50 years

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Correct Answer: Option C

Explanation:
Let ages 5k and 4k. Then (5k + 4)/(4k + 4) = 6/7. Solving gives k ≈ 9, age of A = 5*9 = 45.

This question belongs to: Maths Ratio and Proportion

Question #2

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If a:b = 3:6 and b:c = 6:4, then a:b:c = ?

A. 3:6:4

B. 2:6:5

C. 6:12:8

D. 3:7:4

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 3:6, b:c = 6:4 ⇒ a:b:c = 3:6:4.

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 10 years, the ratio becomes 9:10. Present age of A is?

A. 152 years

B. 294 years

C. 147 years

D. 143 years

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Correct Answer: Option C

Explanation:
Let ages 7k and 8k. Then (7k + 10)/(8k + 10) = 9/10. Solving gives k ≈ 21, age of A = 7*21 = 147.

This question belongs to: Maths Ratio and Proportion

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