Ratio and Proportion MCQs with Answers and Explanations for Competitive Exams

Question #201

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Find the mean proportional between 24 and 31.

A. 54

B. 27

C. 55

D. 30

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Correct Answer: Option B

Explanation:
Mean proportional = √(24 × 31) = √(744) = 27.

This question belongs to: Maths Ratio and Proportion

Question #202

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If a:b = 8:3 and b:c = 3:9, then a:b:c = ?

A. 8:3:9

B. 7:3:10

C. 16:6:18

D. 8:4:9

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 8:3, b:c = 3:9 ⇒ a:b:c = 8:3:9.

This question belongs to: Maths Ratio and Proportion

Question #203

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

A. 71 years

B. 132 years

C. 60 years

D. 66 years

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Correct Answer: Option D

Explanation:
Let ages 3k and 4k. Then (3k + 4)/(4k + 4) = 5/6. Solving gives k ≈ 22, age of A = 3*22 = 66.

This question belongs to: Maths Ratio and Proportion

Question #204

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

A. 14:12:14

B. 7:6:7

C. 6:6:8

D. 7:7:7

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Correct Answer: Option B

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

This question belongs to: Maths Ratio and Proportion

Question #205

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Ratio of present ages of A and B is 4:6. After 8 years, the ratio becomes 6:9. Present age of A is?

A. 88 years

B. 49 years

C. 36 years

D. 44 years

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Correct Answer: Option D

Explanation:
Let ages 4k and 6k. Then (4k + 8)/(6k + 8) = 6/9. Solving gives k ≈ 11, age of A = 4*11 = 44.

This question belongs to: Maths Ratio and Proportion

Question #206

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If a:b = 7:10 and b:c = 10:12, then a:b:c = ?

A. 7:10:12

B. 6:10:13

C. 7:11:12

D. 14:20:24

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 7:10, b:c = 10:12 ⇒ a:b:c = 7:10:12.

This question belongs to: Maths Ratio and Proportion

Question #207

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Two numbers are in ratio 6:12. Their difference is 108. What is their sum?

A. 207

B. 447

C. 414

D. 554

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Correct Answer: Option C

Explanation:
Numbers 6k, 12k. Difference |6-12|k = 108 ⇒ k = 18. Sum = (6+12)k ≈ 414.

This question belongs to: Maths Ratio and Proportion

Question #208

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If a:b = 3:9 and b:c = 9:12, then a:b:c = ?

A. 6:18:24

B. 2:9:13

C. 3:9:12

D. 3:10:12

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 3:9, b:c = 9:12 ⇒ a:b:c = 3:9:12.

This question belongs to: Maths Ratio and Proportion

Question #209

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If a:b = 8:6 and b:c = 6:10, then a:b:c = ?

A. 8:6:10

B. 8:7:10

C. 7:6:11

D. 16:12:20

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 8:6, b:c = 6:10 ⇒ a:b:c = 8:6:10.

This question belongs to: Maths Ratio and Proportion

Question #210

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Two numbers are in the ratio 11:3 and their sum is 121. Find the numbers.

A. 176 and 48

B. 106 and 7

C. 88 and 24

D. 73 and 38

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Correct Answer: Option C

Explanation:
Numbers = 11k and 3k. 11k + 3k = 121 ⇒ k = 8. Thus, numbers are 88 and 24.

This question belongs to: Maths Ratio and Proportion

Question #211

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

A. 7:5:4

B. 7:4:4

C. 14:8:8

D. 6:4:5

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Correct Answer: Option B

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

This question belongs to: Maths Ratio and Proportion

Question #212

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Milk and water are in ratio 7:2 in a 488 L mixture. Quantity of milk?

A. 379 L

B. 399 L

C. 758 L

D. 109 L

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Correct Answer: Option A

Explanation:
Total parts = 9. Milk = [7 / (7+2)] × 488 = 379 L.

This question belongs to: Maths Ratio and Proportion

Question #213

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Milk and water are in ratio 3:7 in a 391 L mixture. Quantity of milk?

A. 274 L

B. 234 L

C. 153 L

D. 117 L

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Correct Answer: Option D

Explanation:
Total parts = 10. Milk = [3 / (3+7)] × 391 = 117 L.

This question belongs to: Maths Ratio and Proportion

Question #214

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Two numbers are in ratio 6:8. Their difference is 69. What is their sum?

A. 368

B. 112

C. 224

D. 283

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Correct Answer: Option C

Explanation:
Numbers 6k, 8k. Difference |6-8|k = 69 ⇒ k = 34. Sum = (6+8)k ≈ 224.

This question belongs to: Maths Ratio and Proportion

Question #215

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Two numbers are in the ratio 3:14 and their sum is 614. Find the numbers.

A. 118 and 488

B. 216 and 1008

C. 99 and 524

D. 108 and 504

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Correct Answer: Option D

Explanation:
Numbers = 3k and 14k. 3k + 14k = 614 ⇒ k = 36. Thus, numbers are 108 and 504.

This question belongs to: Maths Ratio and Proportion

Question #216

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

A. 3:7:9

B. 8:14:16

C. 4:7:8

D. 4:8:8

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Correct Answer: Option C

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

This question belongs to: Maths Ratio and Proportion

Question #217

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

A. 6:5:6

B. 6:6:6

C. 12:10:12

D. 5:5:7

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Correct Answer: Option A

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

This question belongs to: Maths Ratio and Proportion

Question #218

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If a:b = 5:9 and b:c = 9:6, then a:b:c = ?

A. 5:9:6

B. 5:10:6

C. 10:18:12

D. 4:9:7

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 5:9, b:c = 9:6 ⇒ a:b:c = 5:9:6.

This question belongs to: Maths Ratio and Proportion

Question #219

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If a:b = 3:6 and b:c = 6:7, then a:b:c = ?

A. 6:12:14

B. 3:6:7

C. 3:7:7

D. 2:6:8

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 3:6, b:c = 6:7 ⇒ a:b:c = 3:6:7.

This question belongs to: Maths Ratio and Proportion

Question #220

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Two numbers are in the ratio 8:14 and their sum is 276. Find the numbers.

A. 96 and 168

B. 125 and 139

C. 192 and 336

D. 84 and 185

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Correct Answer: Option A

Explanation:
Numbers = 8k and 14k. 8k + 14k = 276 ⇒ k = 12. Thus, numbers are 96 and 168.

This question belongs to: Maths Ratio and Proportion

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