Ratio and Proportion MCQs with Answers and Explanations for Competitive Exams

Question #281

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Ratio of present ages of A and B is 7:8. After 6 years, the ratio becomes 8:9. Present age of A is?

A. 210 years

B. 97 years

C. 110 years

D. 105 years

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Correct Answer: Option D

Explanation:
Let ages 7k and 8k. Then (7k + 6)/(8k + 6) = 8/9. Solving gives k ≈ 15, age of A = 7*15 = 105.

This question belongs to: Maths Ratio and Proportion

Question #282

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Milk and water are in ratio 9:6 in a 433 L mixture. Quantity of milk?

A. 518 L

B. 259 L

C. 286 L

D. 174 L

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Correct Answer: Option B

Explanation:
Total parts = 15. Milk = [9 / (9+6)] × 433 = 259 L.

This question belongs to: Maths Ratio and Proportion

Question #283

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If a:b = 2:3 and b:c = 3:11, then a:b:c = ?

A. 1:3:12

B. 4:6:22

C. 2:3:11

D. 2:4:11

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 2:3, b:c = 3:11 ⇒ a:b:c = 2:3:11.

This question belongs to: Maths Ratio and Proportion

Question #284

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If a:b = 4:5 and b:c = 5:11, then a:b:c = ?

A. 4:5:11

B. 3:5:12

C. 8:10:22

D. 4:6:11

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 4:5, b:c = 5:11 ⇒ a:b:c = 4:5:11.

This question belongs to: Maths Ratio and Proportion

Question #285

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If a:b = 3:3 and b:c = 3:6, then a:b:c = ?

A. 3:3:6

B. 6:6:12

C. 2:3:7

D. 3:4:6

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 3:3, b:c = 3:6 ⇒ a:b:c = 3:3:6.

This question belongs to: Maths Ratio and Proportion

Question #286

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Ratio of present ages of A and B is 5:4. After 12 years, the ratio becomes 8:5. Present age of A is?

A. 115 years

B. 111 years

C. 120 years

D. 230 years

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Correct Answer: Option A

Explanation:
Let ages 5k and 4k. Then (5k + 12)/(4k + 12) = 8/5. Solving gives k ≈ 23, age of A = 5*23 = 115.

This question belongs to: Maths Ratio and Proportion

Question #287

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If a:b = 6:3 and b:c = 3:6, then a:b:c = ?

A. 5:3:7

B. 12:6:12

C. 6:3:6

D. 6:4:6

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 6:3, b:c = 3:6 ⇒ a:b:c = 6:3:6.

This question belongs to: Maths Ratio and Proportion

Question #288

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If a:b = 4:10 and b:c = 10:10, then a:b:c = ?

A. 3:10:11

B. 4:11:10

C. 8:20:20

D. 4:10:10

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 4:10, b:c = 10:10 ⇒ a:b:c = 4:10:10.

This question belongs to: Maths Ratio and Proportion

Question #289

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Two numbers are in ratio 10:12. Their difference is 61. What is their sum?

A. 198

B. 279

C. 99

D. 238

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Correct Answer: Option A

Explanation:
Numbers 10k, 12k. Difference |10-12|k = 61 ⇒ k = 30. Sum = (10+12)k ≈ 198.

This question belongs to: Maths Ratio and Proportion

Question #290

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Two numbers are in ratio 9:7. Their difference is 150. What is their sum?

A. 288

B. 144

C. 423

D. 326

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Correct Answer: Option A

Explanation:
Numbers 9k, 7k. Difference |9-7|k = 150 ⇒ k = 75. Sum = (9+7)k ≈ 288.

This question belongs to: Maths Ratio and Proportion

Question #291

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Milk and water are in ratio 5:6 in a 503 L mixture. Quantity of milk?

A. 275 L

B. 228 L

C. 272 L

D. 456 L

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Correct Answer: Option B

Explanation:
Total parts = 11. Milk = [5 / (5+6)] × 503 = 228 L.

This question belongs to: Maths Ratio and Proportion

Question #292

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Two numbers are in the ratio 11:15 and their sum is 202. Find the numbers.

A. 99 and 94

B. 61 and 114

C. 154 and 210

D. 77 and 105

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Correct Answer: Option D

Explanation:
Numbers = 11k and 15k. 11k + 15k = 202 ⇒ k = 7. Thus, numbers are 77 and 105.

This question belongs to: Maths Ratio and Proportion

Question #293

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Find the mean proportional between 29 and 50.

A. 79

B. 76

C. 41

D. 38

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Correct Answer: Option D

Explanation:
Mean proportional = √(29 × 50) = √(1450) = 38.

This question belongs to: Maths Ratio and Proportion

Question #294

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Find the mean proportional between 7 and 28.

A. 14

B. 35

C. 28

D. 17

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Correct Answer: Option A

Explanation:
Mean proportional = √(7 × 28) = √(196) = 14.

This question belongs to: Maths Ratio and Proportion

Question #295

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Two numbers are in ratio 9:5. Their difference is 112. What is their sum?

A. 210

B. 420

C. 569

D. 448

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Correct Answer: Option B

Explanation:
Numbers 9k, 5k. Difference |9-5|k = 112 ⇒ k = 28. Sum = (9+5)k ≈ 420.

This question belongs to: Maths Ratio and Proportion

Question #296

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If a:b = 6:7 and b:c = 7:12, then a:b:c = ?

A. 6:8:12

B. 5:7:13

C. 12:14:24

D. 6:7:12

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 6:7, b:c = 7:12 ⇒ a:b:c = 6:7:12.

This question belongs to: Maths Ratio and Proportion

Question #297

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If a:b = 3:4 and b:c = 4:11, then a:b:c = ?

A. 3:5:11

B. 2:4:12

C. 3:4:11

D. 6:8:22

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 3:4, b:c = 4:11 ⇒ a:b:c = 3:4:11.

This question belongs to: Maths Ratio and Proportion

Question #298

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Ratio of present ages of A and B is 3:5. After 6 years, the ratio becomes 4:7. Present age of A is?

A. 63 years

B. 68 years

C. 126 years

D. 58 years

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Correct Answer: Option A

Explanation:
Let ages 3k and 5k. Then (3k + 6)/(5k + 6) = 4/7. Solving gives k ≈ 21, age of A = 3*21 = 63.

This question belongs to: Maths Ratio and Proportion

Question #299

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Two numbers are in the ratio 15:12 and their sum is 319. Find the numbers.

A. 165 and 132

B. 147 and 149

C. 330 and 264

D. 184 and 102

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Correct Answer: Option A

Explanation:
Numbers = 15k and 12k. 15k + 12k = 319 ⇒ k = 11. Thus, numbers are 165 and 132.

This question belongs to: Maths Ratio and Proportion

Question #300

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If a:b = 4:8 and b:c = 8:7, then a:b:c = ?

A. 8:16:14

B. 3:8:8

C. 4:8:7

D. 4:9:7

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 4:8, b:c = 8:7 ⇒ a:b:c = 4:8:7.

This question belongs to: Maths Ratio and Proportion

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