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

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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. 49 years

B. 44 years

C. 88 years

D. 36 years

Answer: Option B

Solution (By JKSSB Mock Tests)

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

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Question #1

If a:b = 7:10 and b:c = 10:11, then a:b:c = ?

A. 14:20:22

B. 7:11:11

C. 7:10:11

D. 6:10:12

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 7:10, b:c = 10:11 ⇒ a:b:c = 7:10:11.

This question belongs to: Maths Ratio and Proportion

Question #2

Two numbers are in ratio 8:11. Their difference is 86. What is their sum?

A. 304

B. 152

C. 427

D. 344

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Correct Answer: Option A

Explanation:
Numbers 8k, 11k. Difference |8-11|k = 86 ⇒ k = 28. Sum = (8+11)k ≈ 304.

This question belongs to: Maths Ratio and Proportion

Question #3

Ratio of present ages of A and B is 7:8. After 12 years, the ratio becomes 8:9. Present age of A is?

A. 77 years

B. 82 years

C. 154 years

D. 70 years

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Correct Answer: Option A

Explanation:
Let ages 7k and 8k. Then (7k + 12)/(8k + 12) = 8/9. Solving gives k ≈ 11, age of A = 7*11 = 77.

This question belongs to: Maths Ratio and Proportion

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