Ratio and Proportion MCQs with Answers and Explanations for Competitive Exams

Question #81

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Ratio of present ages of A and B is 6:6. After 12 years, the ratio becomes 8:7. Present age of A is?

A. 64 years

B. 144 years

C. 72 years

D. 77 years

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Correct Answer: Option C

Explanation:
Let ages 6k and 6k. Then (6k + 12)/(6k + 12) = 8/7. Solving gives k ≈ 12, age of A = 6*12 = 72.

This question belongs to: Maths Ratio and Proportion

Question #82

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

A. 4:4:9

B. 8:8:18

C. 3:4:10

D. 4:5:9

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Correct Answer: Option A

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

This question belongs to: Maths Ratio and Proportion

Question #83

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Two numbers are in the ratio 7:15 and their sum is 349. Find the numbers.

A. 210 and 450

B. 115 and 199

C. 105 and 225

D. 94 and 237

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Correct Answer: Option C

Explanation:
Numbers = 7k and 15k. 7k + 15k = 349 ⇒ k = 15. Thus, numbers are 105 and 225.

This question belongs to: Maths Ratio and Proportion

Question #84

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

A. 14:14:12

B. 7:7:6

C. 7:8:6

D. 6:7:7

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Correct Answer: Option B

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

This question belongs to: Maths Ratio and Proportion

Question #85

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If a:b = 3:9 and b:c = 9:7, then a:b:c = ?

A. 3:10:7

B. 2:9:8

C. 6:18:14

D. 3:9:7

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 3:9, b:c = 9:7 ⇒ a:b:c = 3:9:7.

This question belongs to: Maths Ratio and Proportion

Question #86

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Ratio of present ages of A and B is 4:6. After 9 years, the ratio becomes 7:8. Present age of A is?

A. 176 years

B. 88 years

C. 93 years

D. 83 years

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Correct Answer: Option B

Explanation:
Let ages 4k and 6k. Then (4k + 9)/(6k + 9) = 7/8. Solving gives k ≈ 22, age of A = 4*22 = 88.

This question belongs to: Maths Ratio and Proportion

Question #87

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Milk and water are in ratio 6:5 in a 226 L mixture. Quantity of milk?

A. 103 L

B. 123 L

C. 246 L

D. 153 L

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Correct Answer: Option B

Explanation:
Total parts = 11. Milk = [6 / (6+5)] × 226 = 123 L.

This question belongs to: Maths Ratio and Proportion

Question #88

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Ratio of present ages of A and B is 4:7. After 11 years, the ratio becomes 5:8. Present age of A is?

A. 40 years

B. 36 years

C. 45 years

D. 80 years

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Correct Answer: Option A

Explanation:
Let ages 4k and 7k. Then (4k + 11)/(7k + 11) = 5/8. Solving gives k ≈ 10, age of A = 4*10 = 40.

This question belongs to: Maths Ratio and Proportion

Question #89

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

A. 12:20:12

B. 6:11:6

C. 6:10:6

D. 5:10:7

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Correct Answer: Option C

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

This question belongs to: Maths Ratio and Proportion

Question #90

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

A. 4:4:4

B. 8:8:8

C. 4:5:4

D. 3:4:5

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Correct Answer: Option A

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

This question belongs to: Maths Ratio and Proportion

Question #91

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Milk and water are in ratio 4:2 in a 368 L mixture. Quantity of milk?

A. 123 L

B. 273 L

C. 490 L

D. 245 L

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Correct Answer: Option D

Explanation:
Total parts = 6. Milk = [4 / (4+2)] × 368 = 245 L.

This question belongs to: Maths Ratio and Proportion

Question #92

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

A. 108 years

B. 47 years

C. 54 years

D. 59 years

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Correct Answer: Option C

Explanation:
Let ages 6k and 7k. Then (6k + 6)/(7k + 6) = 7/8. Solving gives k ≈ 9, age of A = 6*9 = 54.

This question belongs to: Maths Ratio and Proportion

Question #93

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Find the mean proportional between 31 and 78.

A. 52

B. 98

C. 109

D. 49

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Correct Answer: Option D

Explanation:
Mean proportional = √(31 × 78) = √(2418) = 49.

This question belongs to: Maths Ratio and Proportion

Question #94

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Two numbers are in ratio 6:4. Their difference is 103. What is their sum?

A. 617

B. 250

C. 500

D. 558

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Correct Answer: Option C

Explanation:
Numbers 6k, 4k. Difference |6-4|k = 103 ⇒ k = 51. Sum = (6+4)k ≈ 500.

This question belongs to: Maths Ratio and Proportion

Question #95

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

A. 14:12:8

B. 7:6:4

C. 7:7:4

D. 6:6:5

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Correct Answer: Option B

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

This question belongs to: Maths Ratio and Proportion

Question #96

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Ratio of present ages of A and B is 7:5. After 7 years, the ratio becomes 10:8. Present age of A is?

A. 126 years

B. 252 years

C. 131 years

D. 123 years

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Correct Answer: Option A

Explanation:
Let ages 7k and 5k. Then (7k + 7)/(5k + 7) = 10/8. Solving gives k ≈ 18, age of A = 7*18 = 126.

This question belongs to: Maths Ratio and Proportion

Question #97

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Two numbers are in the ratio 14:12 and their sum is 772. Find the numbers.

A. 389 and 367

B. 812 and 696

C. 406 and 348

D. 421 and 329

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Correct Answer: Option C

Explanation:
Numbers = 14k and 12k. 14k + 12k = 772 ⇒ k = 29. Thus, numbers are 406 and 348.

This question belongs to: Maths Ratio and Proportion

Question #98

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Two numbers are in ratio 12:10. Their difference is 74. What is their sum?

A. 264

B. 132

C. 312

D. 387

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Correct Answer: Option A

Explanation:
Numbers 12k, 10k. Difference |12-10|k = 74 ⇒ k = 37. Sum = (12+10)k ≈ 264.

This question belongs to: Maths Ratio and Proportion

Question #99

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If a:b = 2:8 and b:c = 8:10, then a:b:c = ?

A. 2:8:10

B. 2:9:10

C. 1:8:11

D. 4:16:20

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 2:8, b:c = 8:10 ⇒ a:b:c = 2:8:10.

This question belongs to: Maths Ratio and Proportion

Question #100

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Milk and water are in ratio 7:2 in a 578 L mixture. Quantity of milk?

A. 473 L

B. 449 L

C. 129 L

D. 898 L

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Correct Answer: Option B

Explanation:
Total parts = 9. Milk = [7 / (7+2)] × 578 = 449 L.

This question belongs to: Maths Ratio and Proportion

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