Ratio of present ages of A and B is 6:6. After 12 years, the ratio becomes 8:7. Present age of A is? MCQ with Answer and Explanation

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Ratio of present ages of A and B is 6:6. After 12 years, the ratio becomes 8:7. Present age of A is?

A. 77 years

B. 72 years

C. 64 years

D. 144 years

Answer: Option B

Solution (By JKSSB Mock Tests)

Let ages 6k and 6k. Then (6k + 12)/(6k + 12) = 8/7. Solving gives k ≈ 12, age of A = 6*12 = 72.

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 5:8. After 12 years, the ratio becomes 6:11. Present age of A is?

A. 50 years

B. 110 years

C. 55 years

D. 60 years

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Correct Answer: Option C

Explanation:
Let ages 5k and 8k. Then (5k + 12)/(8k + 12) = 6/11. Solving gives k ≈ 11, age of A = 5*11 = 55.

This question belongs to: Maths Ratio and Proportion

Question #2

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If a:b = 3:9 and b:c = 9:10, then a:b:c = ?

A. 2:9:11

B. 3:10:10

C. 3:9:10

D. 6:18:20

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 3:9, b:c = 9:10 ⇒ a:b:c = 3:9:10.

This question belongs to: Maths Ratio and Proportion

Question #3

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Find the mean proportional between 19 and 78.

A. 76

B. 38

C. 97

D. 41

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Correct Answer: Option B

Explanation:
Mean proportional = √(19 × 78) = √(1482) = 38.

This question belongs to: Maths Ratio and Proportion

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