Ratio and Proportion MCQs with Answers and Explanations for Competitive Exams

Question #221

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If a:b = 2:6 and b:c = 6:12, then a:b:c = ?

A. 1:6:13

B. 2:6:12

C. 2:7:12

D. 4:12:24

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 2:6, b:c = 6:12 ⇒ a:b:c = 2:6:12.

This question belongs to: Maths Ratio and Proportion

Question #222

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Two numbers are in the ratio 12:5 and their sum is 771. Find the numbers.

A. 556 and 206

B. 1080 and 450

C. 523 and 234

D. 540 and 225

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Correct Answer: Option D

Explanation:
Numbers = 12k and 5k. 12k + 5k = 771 ⇒ k = 45. Thus, numbers are 540 and 225.

This question belongs to: Maths Ratio and Proportion

Question #223

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If a:b = 6:9 and b:c = 9:8, then a:b:c = ?

A. 6:10:8

B. 5:9:9

C. 6:9:8

D. 12:18:16

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 6:9, b:c = 9:8 ⇒ a:b:c = 6:9:8.

This question belongs to: Maths Ratio and Proportion

Question #224

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Two numbers are in ratio 7:4. Their difference is 73. What is their sum?

A. 734

B. 594

C. 297

D. 636

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Correct Answer: Option B

Explanation:
Numbers 7k, 4k. Difference |7-4|k = 73 ⇒ k = 24. Sum = (7+4)k ≈ 594.

This question belongs to: Maths Ratio and Proportion

Question #225

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Ratio of present ages of A and B is 3:8. After 10 years, the ratio becomes 4:10. Present age of A is?

A. 56 years

B. 102 years

C. 44 years

D. 51 years

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Correct Answer: Option D

Explanation:
Let ages 3k and 8k. Then (3k + 10)/(8k + 10) = 4/10. Solving gives k ≈ 17, age of A = 3*17 = 51.

This question belongs to: Maths Ratio and Proportion

Question #226

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Two numbers are in the ratio 5:3 and their sum is 449. Find the numbers.

A. 274 and 173

B. 280 and 168

C. 296 and 147

D. 560 and 336

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Correct Answer: Option B

Explanation:
Numbers = 5k and 3k. 5k + 3k = 449 ⇒ k = 56. Thus, numbers are 280 and 168.

This question belongs to: Maths Ratio and Proportion

Question #227

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If a:b = 7:5 and b:c = 5:8, then a:b:c = ?

A. 7:6:8

B. 6:5:9

C. 7:5:8

D. 14:10:16

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 7:5, b:c = 5:8 ⇒ a:b:c = 7:5:8.

This question belongs to: Maths Ratio and Proportion

Question #228

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If a:b = 7:9 and b:c = 9:8, then a:b:c = ?

A. 14:18:16

B. 7:9:8

C. 7:10:8

D. 6:9:9

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 7:9, b:c = 9:8 ⇒ a:b:c = 7:9:8.

This question belongs to: Maths Ratio and Proportion

Question #229

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Milk and water are in ratio 8:5 in a 369 L mixture. Quantity of milk?

A. 454 L

B. 142 L

C. 248 L

D. 227 L

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Correct Answer: Option D

Explanation:
Total parts = 13. Milk = [8 / (8+5)] × 369 = 227 L.

This question belongs to: Maths Ratio and Proportion

Question #230

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

A. 76 years

B. 152 years

C. 68 years

D. 81 years

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Correct Answer: Option A

Explanation:
Let ages 4k and 5k. Then (4k + 5)/(5k + 5) = 5/8. Solving gives k ≈ 19, age of A = 4*19 = 76.

This question belongs to: Maths Ratio and Proportion

Question #231

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Milk and water are in ratio 4:6 in a 273 L mixture. Quantity of milk?

A. 218 L

B. 109 L

C. 164 L

D. 133 L

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Correct Answer: Option B

Explanation:
Total parts = 10. Milk = [4 / (4+6)] × 273 = 109 L.

This question belongs to: Maths Ratio and Proportion

Question #232

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If a:b = 8:6 and b:c = 6:11, then a:b:c = ?

A. 8:7:11

B. 7:6:12

C. 16:12:22

D. 8:6:11

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 8:6, b:c = 6:11 ⇒ a:b:c = 8:6:11.

This question belongs to: Maths Ratio and Proportion

Question #233

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Two numbers are in the ratio 12:6 and their sum is 224. Find the numbers.

A. 132 and 88

B. 288 and 144

C. 156 and 45

D. 144 and 72

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Correct Answer: Option D

Explanation:
Numbers = 12k and 6k. 12k + 6k = 224 ⇒ k = 12. Thus, numbers are 144 and 72.

This question belongs to: Maths Ratio and Proportion

Question #234

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If a:b = 4:5 and b:c = 5:8, then a:b:c = ?

A. 4:5:8

B. 3:5:9

C. 8:10:16

D. 4:6:8

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 4:5, b:c = 5:8 ⇒ a:b:c = 4:5:8.

This question belongs to: Maths Ratio and Proportion

Question #235

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

A. 5:6:8

B. 4:5:9

C. 5:5:8

D. 10:10:16

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Correct Answer: Option C

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

This question belongs to: Maths Ratio and Proportion

Question #236

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Find the mean proportional between 4 and 66.

A. 32

B. 16

C. 70

D. 19

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Correct Answer: Option B

Explanation:
Mean proportional = √(4 × 66) = √(264) = 16.

This question belongs to: Maths Ratio and Proportion

Question #237

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If a:b = 3:10 and b:c = 10:11, then a:b:c = ?

A. 3:11:11

B. 2:10:12

C. 6:20:22

D. 3:10:11

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 3:10, b:c = 10:11 ⇒ a:b:c = 3:10:11.

This question belongs to: Maths Ratio and Proportion

Question #238

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If a:b = 5:3 and b:c = 3:7, then a:b:c = ?

A. 5:4:7

B. 5:3:7

C. 10:6:14

D. 4:3:8

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 5:3, b:c = 3:7 ⇒ a:b:c = 5:3:7.

This question belongs to: Maths Ratio and Proportion

Question #239

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If a:b = 4:3 and b:c = 3:8, then a:b:c = ?

A. 4:4:8

B. 8:6:16

C. 4:3:8

D. 3:3:9

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 4:3, b:c = 3:8 ⇒ a:b:c = 4:3:8.

This question belongs to: Maths Ratio and Proportion

Question #240

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If a:b = 8:10 and b:c = 10:12, then a:b:c = ?

A. 8:10:12

B. 8:11:12

C. 16:20:24

D. 7:10:13

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 8:10, b:c = 10:12 ⇒ a:b:c = 8:10:12.

This question belongs to: Maths Ratio and Proportion

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