If a:b = 4:5 and b:c = 5:12, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 4:5 and b:c = 5:12, then a:b:c = ?

A. 4:6:12

B. 8:10:24

C. 4:5:12

D. 3:5:13

Answer: Option C

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 4:5, b:c = 5:12 ⇒ a:b:c = 4:5:12.

This question belongs to: Maths Ratio and Proportion

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Question #1

If a:b = 6:5 and b:c = 5:11, then a:b:c = ?

A. 6:5:11

B. 6:6:11

C. 12:10:22

D. 5:5:12

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 6:5, b:c = 5:11 ⇒ a:b:c = 6:5:11.

This question belongs to: Maths Ratio and Proportion

Question #2

Ratio of present ages of A and B is 3:6. After 8 years, the ratio becomes 5:8. Present age of A is?

A. 69 years

B. 66 years

C. 138 years

D. 74 years

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Correct Answer: Option A

Explanation:
Let ages 3k and 6k. Then (3k + 8)/(6k + 8) = 5/8. Solving gives k ≈ 23, age of A = 3*23 = 69.

This question belongs to: Maths Ratio and Proportion

Question #3

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

A. 50 years

B. 42 years

C. 45 years

D. 90 years

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Correct Answer: Option C

Explanation:
Let ages 5k and 7k. Then (5k + 4)/(7k + 4) = 8/8. Solving gives k ≈ 9, age of A = 5*9 = 45.

This question belongs to: Maths Ratio and Proportion

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