Ratio and Proportion MCQs with Answers and Explanations for Competitive Exams

Question #121

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Find the mean proportional between 22 and 51.

A. 73

B. 36

C. 33

D. 66

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Correct Answer: Option C

Explanation:
Mean proportional = √(22 × 51) = √(1122) = 33.

This question belongs to: Maths Ratio and Proportion

Question #122

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Ratio of present ages of A and B is 4:6. After 10 years, the ratio becomes 7:8. Present age of A is?

A. 32 years

B. 26 years

C. 37 years

D. 64 years

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Correct Answer: Option A

Explanation:
Let ages 4k and 6k. Then (4k + 10)/(6k + 10) = 7/8. Solving gives k ≈ 8, age of A = 4*8 = 32.

This question belongs to: Maths Ratio and Proportion

Question #123

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

A. 150 years

B. 159 years

C. 154 years

D. 308 years

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Correct Answer: Option C

Explanation:
Let ages 7k and 7k. Then (7k + 10)/(7k + 10) = 10/8. Solving gives k ≈ 22, age of A = 7*22 = 154.

This question belongs to: Maths Ratio and Proportion

Question #124

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Ratio of present ages of A and B is 4:8. After 10 years, the ratio becomes 5:9. Present age of A is?

A. 96 years

B. 101 years

C. 93 years

D. 192 years

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Correct Answer: Option A

Explanation:
Let ages 4k and 8k. Then (4k + 10)/(8k + 10) = 5/9. Solving gives k ≈ 24, age of A = 4*24 = 96.

This question belongs to: Maths Ratio and Proportion

Question #125

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If a:b = 8:6 and b:c = 6:12, then a:b:c = ?

A. 8:7:12

B. 16:12:24

C. 8:6:12

D. 7:6:13

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 8:6, b:c = 6:12 ⇒ a:b:c = 8:6:12.

This question belongs to: Maths Ratio and Proportion

Question #126

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Two numbers are in ratio 8:10. Their difference is 82. What is their sum?

A. 216

B. 571

C. 454

D. 432

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Correct Answer: Option D

Explanation:
Numbers 8k, 10k. Difference |8-10|k = 82 ⇒ k = 41. Sum = (8+10)k ≈ 432.

This question belongs to: Maths Ratio and Proportion

Question #127

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

A. 8:14:20

B. 4:7:10

C. 4:8:10

D. 3:7:11

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Correct Answer: Option B

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

This question belongs to: Maths Ratio and Proportion

Question #128

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If a:b = 5:8 and b:c = 8:12, then a:b:c = ?

A. 10:16:24

B. 4:8:13

C. 5:9:12

D. 5:8:12

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 5:8, b:c = 8:12 ⇒ a:b:c = 5:8:12.

This question belongs to: Maths Ratio and Proportion

Question #129

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

A. 6:7:5

B. 7:7:4

C. 7:8:4

D. 14:14:8

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Correct Answer: Option B

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

This question belongs to: Maths Ratio and Proportion

Question #130

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If a:b = 5:8 and b:c = 8:7, then a:b:c = ?

A. 5:8:7

B. 4:8:8

C. 5:9:7

D. 10:16:14

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 5:8, b:c = 8:7 ⇒ a:b:c = 5:8:7.

This question belongs to: Maths Ratio and Proportion

Question #131

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Milk and water are in ratio 7:7 in a 233 L mixture. Quantity of milk?

A. 232 L

B. 116 L

C. 117 L

D. 138 L

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Correct Answer: Option B

Explanation:
Total parts = 14. Milk = [7 / (7+7)] × 233 = 116 L.

This question belongs to: Maths Ratio and Proportion

Question #132

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Milk and water are in ratio 9:7 in a 533 L mixture. Quantity of milk?

A. 299 L

B. 598 L

C. 234 L

D. 336 L

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Correct Answer: Option A

Explanation:
Total parts = 16. Milk = [9 / (9+7)] × 533 = 299 L.

This question belongs to: Maths Ratio and Proportion

Question #133

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Two numbers are in ratio 5:12. Their difference is 93. What is their sum?

A. 255

B. 404

C. 127

D. 313

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Correct Answer: Option A

Explanation:
Numbers 5k, 12k. Difference |5-12|k = 93 ⇒ k = 13. Sum = (5+12)k ≈ 255.

This question belongs to: Maths Ratio and Proportion

Question #134

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

A. 4:8:8

B. 2:4:4

C. 1:4:5

D. 2:5:4

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Correct Answer: Option B

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

This question belongs to: Maths Ratio and Proportion

Question #135

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

A. 7:7:7

B. 14:14:14

C. 6:7:8

D. 7:8:7

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Correct Answer: Option A

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

This question belongs to: Maths Ratio and Proportion

Question #136

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Milk and water are in ratio 6:2 in a 184 L mixture. Quantity of milk?

A. 276 L

B. 138 L

C. 159 L

D. 46 L

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Correct Answer: Option B

Explanation:
Total parts = 8. Milk = [6 / (6+2)] × 184 = 138 L.

This question belongs to: Maths Ratio and Proportion

Question #137

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Two numbers are in the ratio 5:14 and their sum is 285. Find the numbers.

A. 58 and 219

B. 96 and 184

C. 75 and 210

D. 150 and 420

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Correct Answer: Option C

Explanation:
Numbers = 5k and 14k. 5k + 14k = 285 ⇒ k = 15. Thus, numbers are 75 and 210.

This question belongs to: Maths Ratio and Proportion

Question #138

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Milk and water are in ratio 9:3 in a 463 L mixture. Quantity of milk?

A. 347 L

B. 384 L

C. 694 L

D. 116 L

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Correct Answer: Option A

Explanation:
Total parts = 12. Milk = [9 / (9+3)] × 463 = 347 L.

This question belongs to: Maths Ratio and Proportion

Question #139

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

A. 102 years

B. 210 years

C. 110 years

D. 105 years

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Correct Answer: Option D

Explanation:
Let ages 7k and 5k. Then (7k + 11)/(5k + 11) = 8/7. Solving gives k ≈ 15, age of A = 7*15 = 105.

This question belongs to: Maths Ratio and Proportion

Question #140

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If a:b = 3:5 and b:c = 5:10, then a:b:c = ?

A. 3:5:10

B. 3:6:10

C. 6:10:20

D. 2:5:11

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 3:5, b:c = 5:10 ⇒ a:b:c = 3:5:10.

This question belongs to: Maths Ratio and Proportion

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