Ratio and Proportion MCQs with Answers and Explanations for Competitive Exams

Question #161

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If a:b = 3:10 and b:c = 10:8, then a:b:c = ?

A. 6:20:16

B. 3:10:8

C. 2:10:9

D. 3:11:8

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 3:10, b:c = 10:8 ⇒ a:b:c = 3:10:8.

This question belongs to: Maths Ratio and Proportion

Question #162

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Milk and water are in ratio 9:3 in a 408 L mixture. Quantity of milk?

A. 349 L

B. 306 L

C. 102 L

D. 612 L

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Correct Answer: Option B

Explanation:
Total parts = 12. Milk = [9 / (9+3)] × 408 = 306 L.

This question belongs to: Maths Ratio and Proportion

Question #163

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If a:b = 2:7 and b:c = 7:8, then a:b:c = ?

A. 1:7:9

B. 2:8:8

C. 4:14:16

D. 2:7:8

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 2:7, b:c = 7:8 ⇒ a:b:c = 2:7:8.

This question belongs to: Maths Ratio and Proportion

Question #164

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Two numbers are in the ratio 7:8 and their sum is 322. Find the numbers.

A. 142 and 188

B. 147 and 168

C. 294 and 336

D. 163 and 154

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Correct Answer: Option B

Explanation:
Numbers = 7k and 8k. 7k + 8k = 322 ⇒ k = 21. Thus, numbers are 147 and 168.

This question belongs to: Maths Ratio and Proportion

Question #165

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Milk and water are in ratio 5:2 in a 305 L mixture. Quantity of milk?

A. 88 L

B. 217 L

C. 265 L

D. 434 L

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Correct Answer: Option B

Explanation:
Total parts = 7. Milk = [5 / (5+2)] × 305 = 217 L.

This question belongs to: Maths Ratio and Proportion

Question #166

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If a:b = 4:5 and b:c = 5:12, then a:b:c = ?

A. 4:6:12

B. 8:10:24

C. 3:5:13

D. 4:5:12

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 4:5, b:c = 5:12 ⇒ a:b:c = 4:5:12.

This question belongs to: Maths Ratio and Proportion

Question #167

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Ratio of present ages of A and B is 5:7. After 12 years, the ratio becomes 7:10. Present age of A is?

A. 170 years

B. 85 years

C. 81 years

D. 90 years

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Correct Answer: Option B

Explanation:
Let ages 5k and 7k. Then (5k + 12)/(7k + 12) = 7/10. Solving gives k ≈ 17, age of A = 5*17 = 85.

This question belongs to: Maths Ratio and Proportion

Question #168

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Two numbers are in ratio 11:4. Their difference is 116. What is their sum?

A. 585

B. 695

C. 621

D. 292

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Correct Answer: Option A

Explanation:
Numbers 11k, 4k. Difference |11-4|k = 116 ⇒ k = 16. Sum = (11+4)k ≈ 585.

This question belongs to: Maths Ratio and Proportion

Question #169

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Two numbers are in ratio 8:6. Their difference is 142. What is their sum?

A. 574

B. 624

C. 287

D. 660

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Correct Answer: Option A

Explanation:
Numbers 8k, 6k. Difference |8-6|k = 142 ⇒ k = 71. Sum = (8+6)k ≈ 574.

This question belongs to: Maths Ratio and Proportion

Question #170

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Two numbers are in the ratio 7:15 and their sum is 454. Find the numbers.

A. 280 and 600

B. 140 and 300

C. 170 and 281

D. 126 and 320

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Correct Answer: Option B

Explanation:
Numbers = 7k and 15k. 7k + 15k = 454 ⇒ k = 20. Thus, numbers are 140 and 300.

This question belongs to: Maths Ratio and Proportion

Question #171

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

A. 4:10:6

B. 8:20:12

C. 4:11:6

D. 3:10:7

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Correct Answer: Option A

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

This question belongs to: Maths Ratio and Proportion

Question #172

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Ratio of present ages of A and B is 7:8. After 10 years, the ratio becomes 9:10. Present age of A is?

A. 294 years

B. 147 years

C. 152 years

D. 143 years

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Correct Answer: Option B

Explanation:
Let ages 7k and 8k. Then (7k + 10)/(8k + 10) = 9/10. Solving gives k ≈ 21, age of A = 7*21 = 147.

This question belongs to: Maths Ratio and Proportion

Question #173

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If a:b = 2:6 and b:c = 6:9, then a:b:c = ?

A. 2:7:9

B. 4:12:18

C. 1:6:10

D. 2:6:9

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 2:6, b:c = 6:9 ⇒ a:b:c = 2:6:9.

This question belongs to: Maths Ratio and Proportion

Question #174

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

A. 6:7:7

B. 12:12:14

C. 6:6:7

D. 5:6:8

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Correct Answer: Option C

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

This question belongs to: Maths Ratio and Proportion

Question #175

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

A. 10:14:10

B. 5:7:5

C. 5:8:5

D. 4:7:6

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Correct Answer: Option B

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

This question belongs to: Maths Ratio and Proportion

Question #176

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If a:b = 8:9 and b:c = 9:7, then a:b:c = ?

A. 8:10:7

B. 8:9:7

C. 7:9:8

D. 16:18:14

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 8:9, b:c = 9:7 ⇒ a:b:c = 8:9:7.

This question belongs to: Maths Ratio and Proportion

Question #177

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If a:b = 3:4 and b:c = 4:6, then a:b:c = ?

A. 6:8:12

B. 3:5:6

C. 3:4:6

D. 2:4:7

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 3:4, b:c = 4:6 ⇒ a:b:c = 3:4:6.

This question belongs to: Maths Ratio and Proportion

Question #178

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

A. 5:4:7

B. 6:5:6

C. 12:8:12

D. 6:4:6

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Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

Question #179

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Two numbers are in ratio 9:11. Their difference is 54. What is their sum?

A. 316

B. 130

C. 383

D. 260

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Correct Answer: Option D

Explanation:
Numbers 9k, 11k. Difference |9-11|k = 54 ⇒ k = 27. Sum = (9+11)k ≈ 260.

This question belongs to: Maths Ratio and Proportion

Question #180

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If a:b = 6:9 and b:c = 9:11, then a:b:c = ?

A. 5:9:12

B. 6:9:11

C. 12:18:22

D. 6:10:11

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 6:9, b:c = 9:11 ⇒ a:b:c = 6:9:11.

This question belongs to: Maths Ratio and Proportion

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