Ratio and Proportion MCQs with Answers and Explanations for Competitive Exams

Question #61

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

A. 7:8:7

B. 7:9:7

C. 14:16:14

D. 6:8:8

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Correct Answer: Option A

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

This question belongs to: Maths Ratio and Proportion

Question #62

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Ratio of present ages of A and B is 7:8. After 12 years, the ratio becomes 8:9. Present age of A is?

A. 82 years

B. 154 years

C. 77 years

D. 70 years

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Correct Answer: Option C

Explanation:
Let ages 7k and 8k. Then (7k + 12)/(8k + 12) = 8/9. Solving gives k ≈ 11, age of A = 7*11 = 77.

This question belongs to: Maths Ratio and Proportion

Question #63

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Two numbers are in the ratio 12:7 and their sum is 291. Find the numbers.

A. 360 and 210

B. 180 and 105

C. 202 and 77

D. 160 and 120

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Correct Answer: Option B

Explanation:
Numbers = 12k and 7k. 12k + 7k = 291 ⇒ k = 15. Thus, numbers are 180 and 105.

This question belongs to: Maths Ratio and Proportion

Question #64

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Find the mean proportional between 30 and 37.

A. 67

B. 36

C. 33

D. 66

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Correct Answer: Option C

Explanation:
Mean proportional = √(30 × 37) = √(1110) = 33.

This question belongs to: Maths Ratio and Proportion

Question #65

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If a:b = 3:5 and b:c = 5:6, then a:b:c = ?

A. 3:5:6

B. 6:10:12

C. 2:5:7

D. 3:6:6

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 3:5, b:c = 5:6 ⇒ a:b:c = 3:5:6.

This question belongs to: Maths Ratio and Proportion

Question #66

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If a:b = 2:6 and b:c = 6:10, then a:b:c = ?

A. 1:6:11

B. 4:12:20

C. 2:7:10

D. 2:6:10

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 2:6, b:c = 6:10 ⇒ a:b:c = 2:6:10.

This question belongs to: Maths Ratio and Proportion

Question #67

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If a:b = 6:10 and b:c = 10:4, then a:b:c = ?

A. 12:20:8

B. 6:11:4

C. 5:10:5

D. 6:10:4

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 6:10, b:c = 10:4 ⇒ a:b:c = 6:10:4.

This question belongs to: Maths Ratio and Proportion

Question #68

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If a:b = 4:6 and b:c = 6:9, then a:b:c = ?

A. 4:7:9

B. 4:6:9

C. 3:6:10

D. 8:12:18

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 4:6, b:c = 6:9 ⇒ a:b:c = 4:6:9.

This question belongs to: Maths Ratio and Proportion

Question #69

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

A. 5:5:4

B. 5:4:4

C. 10:8:8

D. 4:4:5

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Correct Answer: Option B

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

This question belongs to: Maths Ratio and Proportion

Question #70

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

A. 12:8:10

B. 6:4:5

C. 6:5:5

D. 5:4:6

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Correct Answer: Option B

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

This question belongs to: Maths Ratio and Proportion

Question #71

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

A. 16:20:20

B. 8:11:10

C. 7:10:11

D. 8:10:10

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Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

Question #72

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Milk and water are in ratio 4:3 in a 517 L mixture. Quantity of milk?

A. 295 L

B. 334 L

C. 222 L

D. 590 L

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Correct Answer: Option A

Explanation:
Total parts = 7. Milk = [4 / (4+3)] × 517 = 295 L.

This question belongs to: Maths Ratio and Proportion

Question #73

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If a:b = 7:8 and b:c = 8:11, then a:b:c = ?

A. 6:8:12

B. 14:16:22

C. 7:8:11

D. 7:9:11

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 7:8, b:c = 8:11 ⇒ a:b:c = 7:8:11.

This question belongs to: Maths Ratio and Proportion

Question #74

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Two numbers are in the ratio 12:9 and their sum is 569. Find the numbers.

A. 324 and 243

B. 317 and 258

C. 648 and 486

D. 341 and 215

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Correct Answer: Option A

Explanation:
Numbers = 12k and 9k. 12k + 9k = 569 ⇒ k = 27. Thus, numbers are 324 and 243.

This question belongs to: Maths Ratio and Proportion

Question #75

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Ratio of present ages of A and B is 4:5. After 4 years, the ratio becomes 6:7. Present age of A is?

A. 60 years

B. 120 years

C. 65 years

D. 55 years

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Correct Answer: Option A

Explanation:
Let ages 4k and 5k. Then (4k + 4)/(5k + 4) = 6/7. Solving gives k ≈ 15, age of A = 4*15 = 60.

This question belongs to: Maths Ratio and Proportion

Question #76

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

A. 10:10:8

B. 4:5:5

C. 5:5:4

D. 5:6:4

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Correct Answer: Option C

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

This question belongs to: Maths Ratio and Proportion

Question #77

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Ratio of present ages of A and B is 7:6. After 11 years, the ratio becomes 9:9. Present age of A is?

A. 103 years

B. 95 years

C. 196 years

D. 98 years

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Correct Answer: Option D

Explanation:
Let ages 7k and 6k. Then (7k + 11)/(6k + 11) = 9/9. Solving gives k ≈ 14, age of A = 7*14 = 98.

This question belongs to: Maths Ratio and Proportion

Question #78

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Two numbers are in ratio 5:9. Their difference is 44. What is their sum?

A. 505

B. 619

C. 238

D. 476

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Correct Answer: Option D

Explanation:
Numbers 5k, 9k. Difference |5-9|k = 44 ⇒ k = 11. Sum = (5+9)k ≈ 476.

This question belongs to: Maths Ratio and Proportion

Question #79

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

A. 7:5:5

B. 8:6:4

C. 8:5:4

D. 16:10:8

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Correct Answer: Option C

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

This question belongs to: Maths Ratio and Proportion

Question #80

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If a:b = 5:8 and b:c = 8:11, then a:b:c = ?

A. 5:8:11

B. 5:9:11

C. 4:8:12

D. 10:16:22

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 5:8, b:c = 8:11 ⇒ a:b:c = 5:8:11.

This question belongs to: Maths Ratio and Proportion

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