Ratio of present ages of A and B is 4:8. After 6 years, the ratio becomes 7:11. Present age of A is? MCQ with Answer and Explanation

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Ratio of present ages of A and B is 4:8. After 6 years, the ratio becomes 7:11. Present age of A is?

A. 97 years

B. 87 years

C. 184 years

D. 92 years

Answer: Option D

Solution (By JKSSB Mock Tests)

Let ages 4k and 8k. Then (4k + 6)/(8k + 6) = 7/11. Solving gives k ≈ 23, age of A = 4*23 = 92.

This question belongs to: Maths Ratio and Proportion

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Question #1

If a:b = 6:10 and b:c = 10:8, then a:b:c = ?

A. 6:10:8

B. 6:11:8

C. 5:10:9

D. 12:20:16

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 6:10, b:c = 10:8 ⇒ a:b:c = 6:10:8.

This question belongs to: Maths Ratio and Proportion

Question #2

If a:b = 3:8 and b:c = 8:10, then a:b:c = ?

A. 2:8:11

B. 3:8:10

C. 3:9:10

D. 6:16:20

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 3:8, b:c = 8:10 ⇒ a:b:c = 3:8:10.

This question belongs to: Maths Ratio and Proportion

Question #3

Ratio of present ages of A and B is 7:8. After 4 years, the ratio becomes 10:11. Present age of A is?

A. 133 years

B. 266 years

C. 128 years

D. 138 years

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Correct Answer: Option A

Explanation:
Let ages 7k and 8k. Then (7k + 4)/(8k + 4) = 10/11. Solving gives k ≈ 19, age of A = 7*19 = 133.

This question belongs to: Maths Ratio and Proportion

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