Ratio of present ages of A and B is 5:4. After 4 years, the ratio becomes 6:7. Present age of A is? MCQ with Answer and Explanation

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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. 50 years

B. 90 years

C. 42 years

D. 45 years

Answer: Option D

Solution (By JKSSB Mock Tests)

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

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Question #1

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Two numbers are in the ratio 4:8 and their sum is 512. Find the numbers.

A. 168 and 336

B. 336 and 672

C. 162 and 351

D. 178 and 309

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Correct Answer: Option A

Explanation:
Numbers = 4k and 8k. 4k + 8k = 512 ⇒ k = 42. Thus, numbers are 168 and 336.

This question belongs to: Maths Ratio and Proportion

Question #2

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Ratio of present ages of A and B is 3:8. After 12 years, the ratio becomes 4:11. Present age of A is?

A. 74 years

B. 138 years

C. 65 years

D. 69 years

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Correct Answer: Option D

Explanation:
Let ages 3k and 8k. Then (3k + 12)/(8k + 12) = 4/11. Solving gives k ≈ 23, age of A = 3*23 = 69.

This question belongs to: Maths Ratio and Proportion

Question #3

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

A. 7:11:11

B. 7:10:11

C. 6:10:12

D. 14:20:22

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Correct Answer: Option B

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

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