Ratio and Proportion MCQs with Answers and Explanations for Competitive Exams

Question #321

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If a:b = 2:3 and b:c = 3:5, then a:b:c = ?

A. 2:4:5

B. 4:6:10

C. 2:3:5

D. 1:3:6

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 2:3, b:c = 3:5 ⇒ a:b:c = 2:3:5.

This question belongs to: Maths Ratio and Proportion

Question #322

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Milk and water are in ratio 8:2 in a 260 L mixture. Quantity of milk?

A. 52 L

B. 416 L

C. 255 L

D. 208 L

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Correct Answer: Option D

Explanation:
Total parts = 10. Milk = [8 / (8+2)] × 260 = 208 L.

This question belongs to: Maths Ratio and Proportion

Question #323

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If a:b = 6:7 and b:c = 7:4, then a:b:c = ?

A. 5:7:5

B. 12:14:8

C. 6:7:4

D. 6:8:4

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 6:7, b:c = 7:4 ⇒ a:b:c = 6:7:4.

This question belongs to: Maths Ratio and Proportion

Question #324

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Two numbers are in the ratio 11:13 and their sum is 148. Find the numbers.

A. 132 and 156

B. 50 and 90

C. 66 and 78

D. 96 and 67

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Correct Answer: Option C

Explanation:
Numbers = 11k and 13k. 11k + 13k = 148 ⇒ k = 6. Thus, numbers are 66 and 78.

This question belongs to: Maths Ratio and Proportion

Question #325

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Find the mean proportional between 4 and 32.

A. 36

B. 14

C. 11

D. 22

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Correct Answer: Option C

Explanation:
Mean proportional = √(4 × 32) = √(128) = 11.

This question belongs to: Maths Ratio and Proportion

Question #326

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

A. 10:8:10

B. 5:5:5

C. 4:4:6

D. 5:4:5

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Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

Question #327

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Find the mean proportional between 20 and 74.

A. 94

B. 76

C. 41

D. 38

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Correct Answer: Option D

Explanation:
Mean proportional = √(20 × 74) = √(1480) = 38.

This question belongs to: Maths Ratio and Proportion

Question #328

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If a:b = 4:8 and b:c = 8:10, then a:b:c = ?

A. 4:8:10

B. 4:9:10

C. 8:16:20

D. 3:8:11

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 4:8, b:c = 8:10 ⇒ a:b:c = 4:8:10.

This question belongs to: Maths Ratio and Proportion

Question #329

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

A. 6:5:4

B. 6:6:4

C. 12:10:8

D. 5:5:5

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Correct Answer: Option A

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

This question belongs to: Maths Ratio and Proportion

Question #330

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

A. 7:8:12

B. 8:8:11

C. 8:9:11

D. 16:16:22

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Correct Answer: Option B

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

This question belongs to: Maths Ratio and Proportion

Question #331

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If a:b = 2:4 and b:c = 4:7, then a:b:c = ?

A. 1:4:8

B. 2:5:7

C. 4:8:14

D. 2:4:7

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 2:4, b:c = 4:7 ⇒ a:b:c = 2:4:7.

This question belongs to: Maths Ratio and Proportion

Question #332

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If a:b = 5:9 and b:c = 9:10, then a:b:c = ?

A. 4:9:11

B. 10:18:20

C. 5:9:10

D. 5:10:10

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 5:9, b:c = 9:10 ⇒ a:b:c = 5:9:10.

This question belongs to: Maths Ratio and Proportion

Question #333

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

A. 4:8:18

B. 1:4:10

C. 2:4:9

D. 2:5:9

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Correct Answer: Option C

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

This question belongs to: Maths Ratio and Proportion

Question #334

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If a:b = 2:7 and b:c = 7:12, then a:b:c = ?

A. 1:7:13

B. 4:14:24

C. 2:7:12

D. 2:8:12

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 2:7, b:c = 7:12 ⇒ a:b:c = 2:7:12.

This question belongs to: Maths Ratio and Proportion

Question #335

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

A. 7:6:5

B. 6:5:6

C. 7:5:5

D. 14:10:10

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Correct Answer: Option C

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

This question belongs to: Maths Ratio and Proportion

Question #336

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Milk and water are in ratio 8:6 in a 248 L mixture. Quantity of milk?

A. 175 L

B. 282 L

C. 107 L

D. 141 L

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Correct Answer: Option D

Explanation:
Total parts = 14. Milk = [8 / (8+6)] × 248 = 141 L.

This question belongs to: Maths Ratio and Proportion

Question #337

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If a:b = 5:3 and b:c = 3:4, then a:b:c = ?

A. 5:3:4

B. 10:6:8

C. 4:3:5

D. 5:4:4

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 5:3, b:c = 3:4 ⇒ a:b:c = 5:3:4.

This question belongs to: Maths Ratio and Proportion

Question #338

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

A. 8:3:8

B. 8:4:8

C. 16:6:16

D. 7:3:9

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Correct Answer: Option A

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

This question belongs to: Maths Ratio and Proportion

Question #339

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Ratio of present ages of A and B is 7:4. After 9 years, the ratio becomes 10:5. Present age of A is?

A. 168 years

B. 173 years

C. 161 years

D. 336 years

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Correct Answer: Option A

Explanation:
Let ages 7k and 4k. Then (7k + 9)/(4k + 9) = 10/5. Solving gives k ≈ 24, age of A = 7*24 = 168.

This question belongs to: Maths Ratio and Proportion

Question #340

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

A. 95 years

B. 180 years

C. 90 years

D. 83 years

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Correct Answer: Option C

Explanation:
Let ages 6k and 4k. Then (6k + 9)/(4k + 9) = 9/6. Solving gives k ≈ 15, age of A = 6*15 = 90.

This question belongs to: Maths Ratio and Proportion

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