Ratio and Proportion MCQs with Answers and Explanations for Competitive Exams

Question #41

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If a:b = 4:3 and b:c = 3:12, then a:b:c = ?

A. 4:3:12

B. 8:6:24

C. 3:3:13

D. 4:4:12

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 4:3, b:c = 3:12 ⇒ a:b:c = 4:3:12.

This question belongs to: Maths Ratio and Proportion

Question #42

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If a:b = 4:3 and b:c = 3:7, then a:b:c = ?

A. 3:3:8

B. 4:4:7

C. 4:3:7

D. 8:6:14

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 4:3, b:c = 3:7 ⇒ a:b:c = 4:3:7.

This question belongs to: Maths Ratio and Proportion

Question #43

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Find the mean proportional between 17 and 42.

A. 29

B. 59

C. 26

D. 52

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Correct Answer: Option C

Explanation:
Mean proportional = √(17 × 42) = √(714) = 26.

This question belongs to: Maths Ratio and Proportion

Question #44

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If a:b = 5:9 and b:c = 9:11, then a:b:c = ?

A. 10:18:22

B. 5:10:11

C. 4:9:12

D. 5:9:11

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 5:9, b:c = 9:11 ⇒ a:b:c = 5:9:11.

This question belongs to: Maths Ratio and Proportion

Question #45

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Find the mean proportional between 19 and 14.

A. 19

B. 33

C. 16

D. 32

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Correct Answer: Option C

Explanation:
Mean proportional = √(19 × 14) = √(266) = 16.

This question belongs to: Maths Ratio and Proportion

Question #46

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

A. 7:5:8

B. 14:8:16

C. 7:4:8

D. 6:4:9

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Correct Answer: Option C

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

This question belongs to: Maths Ratio and Proportion

Question #47

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Two numbers are in the ratio 12:11 and their sum is 394. Find the numbers.

A. 192 and 204

B. 222 and 159

C. 408 and 374

D. 204 and 187

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Correct Answer: Option D

Explanation:
Numbers = 12k and 11k. 12k + 11k = 394 ⇒ k = 17. Thus, numbers are 204 and 187.

This question belongs to: Maths Ratio and Proportion

Question #48

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Two numbers are in ratio 6:4. Their difference is 60. What is their sum?

A. 350

B. 381

C. 175

D. 497

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Correct Answer: Option A

Explanation:
Numbers 6k, 4k. Difference |6-4|k = 60 ⇒ k = 30. Sum = (6+4)k ≈ 350.

This question belongs to: Maths Ratio and Proportion

Question #49

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Ratio of present ages of A and B is 7:5. After 12 years, the ratio becomes 8:8. Present age of A is?

A. 196 years

B. 103 years

C. 98 years

D. 94 years

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Correct Answer: Option C

Explanation:
Let ages 7k and 5k. Then (7k + 12)/(5k + 12) = 8/8. Solving gives k ≈ 14, age of A = 7*14 = 98.

This question belongs to: Maths Ratio and Proportion

Question #50

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Find the mean proportional between 20 and 62.

A. 35

B. 82

C. 70

D. 38

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Correct Answer: Option A

Explanation:
Mean proportional = √(20 × 62) = √(1240) = 35.

This question belongs to: Maths Ratio and Proportion

Question #51

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Find the mean proportional between 11 and 38.

A. 23

B. 40

C. 20

D. 49

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Correct Answer: Option C

Explanation:
Mean proportional = √(11 × 38) = √(418) = 20.

This question belongs to: Maths Ratio and Proportion

Question #52

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If a:b = 4:9 and b:c = 9:8, then a:b:c = ?

A. 8:18:16

B. 4:9:8

C. 3:9:9

D. 4:10:8

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 4:9, b:c = 9:8 ⇒ a:b:c = 4:9:8.

This question belongs to: Maths Ratio and Proportion

Question #53

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If a:b = 3:7 and b:c = 7:11, then a:b:c = ?

A. 6:14:22

B. 3:8:11

C. 2:7:12

D. 3:7:11

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 3:7, b:c = 7:11 ⇒ a:b:c = 3:7:11.

This question belongs to: Maths Ratio and Proportion

Question #54

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If a:b = 5:6 and b:c = 6:7, then a:b:c = ?

A. 4:6:8

B. 5:7:7

C. 10:12:14

D. 5:6:7

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 5:6, b:c = 6:7 ⇒ a:b:c = 5:6:7.

This question belongs to: Maths Ratio and Proportion

Question #55

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

A. 8:4:4

B. 8:3:4

C. 7:3:5

D. 16:6:8

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Correct Answer: Option B

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

This question belongs to: Maths Ratio and Proportion

Question #56

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If a:b = 7:4 and b:c = 4:10, then a:b:c = ?

A. 14:8:20

B. 7:4:10

C. 6:4:11

D. 7:5:10

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 7:4, b:c = 4:10 ⇒ a:b:c = 7:4:10.

This question belongs to: Maths Ratio and Proportion

Question #57

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Milk and water are in ratio 8:2 in a 156 L mixture. Quantity of milk?

A. 32 L

B. 124 L

C. 172 L

D. 248 L

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Correct Answer: Option B

Explanation:
Total parts = 10. Milk = [8 / (8+2)] × 156 = 124 L.

This question belongs to: Maths Ratio and Proportion

Question #58

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Milk and water are in ratio 6:4 in a 289 L mixture. Quantity of milk?

A. 116 L

B. 173 L

C. 346 L

D. 223 L

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Correct Answer: Option B

Explanation:
Total parts = 10. Milk = [6 / (6+4)] × 289 = 173 L.

This question belongs to: Maths Ratio and Proportion

Question #59

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Two numbers are in ratio 9:6. Their difference is 123. What is their sum?

A. 633

B. 540

C. 593

D. 270

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Correct Answer: Option B

Explanation:
Numbers 9k, 6k. Difference |9-6|k = 123 ⇒ k = 41. Sum = (9+6)k ≈ 540.

This question belongs to: Maths Ratio and Proportion

Question #60

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

A. 8:7:9

B. 7:6:10

C. 8:6:9

D. 16:12:18

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Correct Answer: Option C

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

This question belongs to: Maths Ratio and Proportion

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