Ratio and Proportion MCQs with Answers and Explanations for Competitive Exams

Question #421

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Two numbers are in ratio 4:12. Their difference is 122. What is their sum?

A. 338

B. 244

C. 104

D. 208

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Correct Answer: Option D

Explanation:
Numbers 4k, 12k. Difference |4-12|k = 122 ⇒ k = 15. Sum = (4+12)k ≈ 208.

This question belongs to: Maths Ratio and Proportion

Question #422

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Milk and water are in ratio 8:3 in a 249 L mixture. Quantity of milk?

A. 362 L

B. 210 L

C. 181 L

D. 68 L

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Correct Answer: Option C

Explanation:
Total parts = 11. Milk = [8 / (8+3)] × 249 = 181 L.

This question belongs to: Maths Ratio and Proportion

Question #423

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

A. 3:5:6

B. 4:5:5

C. 8:10:10

D. 4:6:5

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Correct Answer: Option B

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

This question belongs to: Maths Ratio and Proportion

Question #424

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

A. 430

B. 333

C. 152

D. 304

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Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

Question #425

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Find the mean proportional between 19 and 78.

A. 38

B. 97

C. 41

D. 76

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Correct Answer: Option A

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

This question belongs to: Maths Ratio and Proportion

Question #426

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If a:b = 3:10 and b:c = 10:5, then a:b:c = ?

A. 3:11:5

B. 6:20:10

C. 2:10:6

D. 3:10:5

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 3:10, b:c = 10:5 ⇒ a:b:c = 3:10:5.

This question belongs to: Maths Ratio and Proportion

Question #427

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Find the mean proportional between 24 and 76.

A. 84

B. 100

C. 45

D. 42

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Correct Answer: Option D

Explanation:
Mean proportional = √(24 × 76) = √(1824) = 42.

This question belongs to: Maths Ratio and Proportion

Question #428

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Two numbers are in the ratio 15:4 and their sum is 182. Find the numbers.

A. 155 and 15

B. 270 and 72

C. 118 and 54

D. 135 and 36

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Correct Answer: Option D

Explanation:
Numbers = 15k and 4k. 15k + 4k = 182 ⇒ k = 9. Thus, numbers are 135 and 36.

This question belongs to: Maths Ratio and Proportion

Question #429

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If a:b = 8:9 and b:c = 9:5, then a:b:c = ?

A. 8:9:5

B. 16:18:10

C. 8:10:5

D. 7:9:6

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 8:9, b:c = 9:5 ⇒ a:b:c = 8:9:5.

This question belongs to: Maths Ratio and Proportion

Question #430

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Ratio of present ages of A and B is 5:7. After 4 years, the ratio becomes 8:8. Present age of A is?

A. 50 years

B. 90 years

C. 45 years

D. 42 years

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Correct Answer: Option C

Explanation:
Let ages 5k and 7k. Then (5k + 4)/(7k + 4) = 8/8. Solving gives k ≈ 9, age of A = 5*9 = 45.

This question belongs to: Maths Ratio and Proportion

Question #431

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Two numbers are in ratio 9:11. Their difference is 102. What is their sum?

A. 400

B. 482

C. 422

D. 200

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Correct Answer: Option A

Explanation:
Numbers 9k, 11k. Difference |9-11|k = 102 ⇒ k = 51. Sum = (9+11)k ≈ 400.

This question belongs to: Maths Ratio and Proportion

Question #432

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Find the mean proportional between 36 and 21.

A. 54

B. 27

C. 57

D. 30

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Correct Answer: Option B

Explanation:
Mean proportional = √(36 × 21) = √(756) = 27.

This question belongs to: Maths Ratio and Proportion

Question #433

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Milk and water are in ratio 4:7 in a 249 L mixture. Quantity of milk?

A. 137 L

B. 159 L

C. 90 L

D. 180 L

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Correct Answer: Option C

Explanation:
Total parts = 11. Milk = [4 / (4+7)] × 249 = 90 L.

This question belongs to: Maths Ratio and Proportion

Question #434

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If a:b = 2:8 and b:c = 8:12, then a:b:c = ?

A. 4:16:24

B. 2:8:12

C. 2:9:12

D. 1:8:13

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 2:8, b:c = 8:12 ⇒ a:b:c = 2:8:12.

This question belongs to: Maths Ratio and Proportion

Question #435

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Two numbers are in ratio 11:6. Their difference is 42. What is their sum?

A. 633

B. 527

C. 263

D. 560

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Correct Answer: Option B

Explanation:
Numbers 11k, 6k. Difference |11-6|k = 42 ⇒ k = 8. Sum = (11+6)k ≈ 527.

This question belongs to: Maths Ratio and Proportion

Question #436

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Milk and water are in ratio 8:6 in a 373 L mixture. Quantity of milk?

A. 213 L

B. 426 L

C. 160 L

D. 253 L

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Correct Answer: Option A

Explanation:
Total parts = 14. Milk = [8 / (8+6)] × 373 = 213 L.

This question belongs to: Maths Ratio and Proportion

Question #437

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If a:b = 6:9 and b:c = 9:4, then a:b:c = ?

A. 5:9:5

B. 12:18:8

C. 6:10:4

D. 6:9:4

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 6:9, b:c = 9:4 ⇒ a:b:c = 6:9:4.

This question belongs to: Maths Ratio and Proportion

Question #438

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If a:b = 7:7 and b:c = 7:9, then a:b:c = ?

A. 7:7:9

B. 7:8:9

C. 14:14:18

D. 6:7:10

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 7:7, b:c = 7:9 ⇒ a:b:c = 7:7:9.

This question belongs to: Maths Ratio and Proportion

Question #439

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Ratio of present ages of A and B is 3:6. After 8 years, the ratio becomes 5:8. Present age of A is?

A. 74 years

B. 138 years

C. 69 years

D. 66 years

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Correct Answer: Option C

Explanation:
Let ages 3k and 6k. Then (3k + 8)/(6k + 8) = 5/8. Solving gives k ≈ 23, age of A = 3*23 = 69.

This question belongs to: Maths Ratio and Proportion

Question #440

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If a:b = 2:3 and b:c = 3:10, then a:b:c = ?

A. 4:6:20

B. 2:3:10

C. 1:3:11

D. 2:4:10

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 2:3, b:c = 3:10 ⇒ a:b:c = 2:3:10.

This question belongs to: Maths Ratio and Proportion

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