Ratio and Proportion MCQs with Answers and Explanations for Competitive Exams

Question #21

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

A. 5:10:9

B. 12:20:16

C. 6:10:8

D. 6:11:8

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Correct Answer: Option C

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

This question belongs to: Maths Ratio and Proportion

Question #22

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Ratio of present ages of A and B is 4:7. After 12 years, the ratio becomes 6:9. Present age of A is?

A. 49 years

B. 88 years

C. 40 years

D. 44 years

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Correct Answer: Option D

Explanation:
Let ages 4k and 7k. Then (4k + 12)/(7k + 12) = 6/9. Solving gives k ≈ 11, age of A = 4*11 = 44.

This question belongs to: Maths Ratio and Proportion

Question #23

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

A. 7:9:7

B. 8:10:6

C. 16:18:12

D. 8:9:6

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Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

Question #24

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If a:b = 2:4 and b:c = 4:10, then a:b:c = ?

A. 4:8:20

B. 2:4:10

C. 1:4:11

D. 2:5:10

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 2:4, b:c = 4:10 ⇒ a:b:c = 2:4:10.

This question belongs to: Maths Ratio and Proportion

Question #25

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

A. 276 years

B. 134 years

C. 143 years

D. 138 years

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Correct Answer: Option D

Explanation:
Let ages 6k and 7k. Then (6k + 7)/(7k + 7) = 8/8. Solving gives k ≈ 23, age of A = 6*23 = 138.

This question belongs to: Maths Ratio and Proportion

Question #26

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Find the mean proportional between 31 and 33.

A. 31

B. 34

C. 62

D. 64

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Correct Answer: Option A

Explanation:
Mean proportional = √(31 × 33) = √(1023) = 31.

This question belongs to: Maths Ratio and Proportion

Question #27

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Ratio of present ages of A and B is 7:8. After 4 years, the ratio becomes 10:11. Present age of A is?

A. 138 years

B. 128 years

C. 133 years

D. 266 years

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Correct Answer: Option C

Explanation:
Let ages 7k and 8k. Then (7k + 4)/(8k + 4) = 10/11. Solving gives k ≈ 19, age of A = 7*19 = 133.

This question belongs to: Maths Ratio and Proportion

Question #28

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Two numbers are in the ratio 15:6 and their sum is 521. Find the numbers.

A. 347 and 158

B. 360 and 144

C. 720 and 288

D. 375 and 127

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Correct Answer: Option B

Explanation:
Numbers = 15k and 6k. 15k + 6k = 521 ⇒ k = 24. Thus, numbers are 360 and 144.

This question belongs to: Maths Ratio and Proportion

Question #29

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Milk and water are in ratio 9:5 in a 204 L mixture. Quantity of milk?

A. 262 L

B. 156 L

C. 131 L

D. 73 L

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Correct Answer: Option C

Explanation:
Total parts = 14. Milk = [9 / (9+5)] × 204 = 131 L.

This question belongs to: Maths Ratio and Proportion

Question #30

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If a:b = 3:9 and b:c = 9:10, then a:b:c = ?

A. 2:9:11

B. 3:9:10

C. 3:10:10

D. 6:18:20

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 3:9, b:c = 9:10 ⇒ a:b:c = 3:9:10.

This question belongs to: Maths Ratio and Proportion

Question #31

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If a:b = 4:6 and b:c = 6:12, then a:b:c = ?

A. 3:6:13

B. 4:7:12

C. 4:6:12

D. 8:12:24

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 4:6, b:c = 6:12 ⇒ a:b:c = 4:6:12.

This question belongs to: Maths Ratio and Proportion

Question #32

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If a:b = 8:3 and b:c = 3:6, then a:b:c = ?

A. 8:4:6

B. 8:3:6

C. 7:3:7

D. 16:6:12

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 8:3, b:c = 3:6 ⇒ a:b:c = 8:3:6.

This question belongs to: Maths Ratio and Proportion

Question #33

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Two numbers are in the ratio 11:9 and their sum is 682. Find the numbers.

A. 748 and 612

B. 374 and 306

C. 399 and 285

D. 367 and 312

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Correct Answer: Option B

Explanation:
Numbers = 11k and 9k. 11k + 9k = 682 ⇒ k = 34. Thus, numbers are 374 and 306.

This question belongs to: Maths Ratio and Proportion

Question #34

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Milk and water are in ratio 5:4 in a 536 L mixture. Quantity of milk?

A. 329 L

B. 297 L

C. 594 L

D. 239 L

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Correct Answer: Option B

Explanation:
Total parts = 9. Milk = [5 / (5+4)] × 536 = 297 L.

This question belongs to: Maths Ratio and Proportion

Question #35

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Two numbers are in ratio 11:5. Their difference is 105. What is their sum?

A. 368

B. 414

C. 160

D. 320

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Correct Answer: Option D

Explanation:
Numbers 11k, 5k. Difference |11-5|k = 105 ⇒ k = 17. Sum = (11+5)k ≈ 320.

This question belongs to: Maths Ratio and Proportion

Question #36

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Two numbers are in ratio 11:7. Their difference is 58. What is their sum?

A. 126

B. 350

C. 280

D. 252

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Correct Answer: Option D

Explanation:
Numbers 11k, 7k. Difference |11-7|k = 58 ⇒ k = 14. Sum = (11+7)k ≈ 252.

This question belongs to: Maths Ratio and Proportion

Question #37

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

A. 3:4:7

B. 6:6:14

C. 2:3:8

D. 3:3:7

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Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

Question #38

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If a:b = 5:5 and b:c = 5:12, then a:b:c = ?

A. 5:6:12

B. 10:10:24

C. 4:5:13

D. 5:5:12

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 5:5, b:c = 5:12 ⇒ a:b:c = 5:5:12.

This question belongs to: Maths Ratio and Proportion

Question #39

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

A. 6:16:16

B. 2:8:9

C. 3:9:8

D. 3:8:8

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Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

Question #40

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Find the mean proportional between 18 and 55.

A. 73

B. 34

C. 62

D. 31

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Correct Answer: Option D

Explanation:
Mean proportional = √(18 × 55) = √(990) = 31.

This question belongs to: Maths Ratio and Proportion

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