Ratio and Proportion MCQs with Answers and Explanations for Competitive Exams

Question #441

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Ratio of present ages of A and B is 7:8. After 11 years, the ratio becomes 8:9. Present age of A is?

A. 126 years

B. 131 years

C. 119 years

D. 252 years

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Correct Answer: Option A

Explanation:
Let ages 7k and 8k. Then (7k + 11)/(8k + 11) = 8/9. Solving gives k ≈ 18, age of A = 7*18 = 126.

This question belongs to: Maths Ratio and Proportion

Question #442

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If a:b = 2:9 and b:c = 9:4, then a:b:c = ?

A. 1:9:5

B. 2:10:4

C. 4:18:8

D. 2:9:4

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 2:9, b:c = 9:4 ⇒ a:b:c = 2:9:4.

This question belongs to: Maths Ratio and Proportion

Question #443

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Ratio of present ages of A and B is 5:6. After 9 years, the ratio becomes 7:7. Present age of A is?

A. 105 years

B. 95 years

C. 200 years

D. 100 years

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Correct Answer: Option D

Explanation:
Let ages 5k and 6k. Then (5k + 9)/(6k + 9) = 7/7. Solving gives k ≈ 20, age of A = 5*20 = 100.

This question belongs to: Maths Ratio and Proportion

Question #444

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If a:b = 5:4 and b:c = 4:6, then a:b:c = ?

A. 4:4:7

B. 10:8:12

C. 5:5:6

D. 5:4:6

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 5:4, b:c = 4:6 ⇒ a:b:c = 5:4:6.

This question belongs to: Maths Ratio and Proportion

Question #445

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Ratio of present ages of A and B is 6:5. After 5 years, the ratio becomes 9:6. Present age of A is?

A. 180 years

B. 90 years

C. 85 years

D. 95 years

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Correct Answer: Option B

Explanation:
Let ages 6k and 5k. Then (6k + 5)/(5k + 5) = 9/6. Solving gives k ≈ 15, age of A = 6*15 = 90.

This question belongs to: Maths Ratio and Proportion

Question #446

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Two numbers are in ratio 9:12. Their difference is 74. What is their sum?

A. 210

B. 105

C. 355

D. 270

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Correct Answer: Option A

Explanation:
Numbers 9k, 12k. Difference |9-12|k = 74 ⇒ k = 24. Sum = (9+12)k ≈ 210.

This question belongs to: Maths Ratio and Proportion

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