Ratio and Proportion MCQs with Answers and Explanations for Competitive Exams

Question #361

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If a:b = 6:7 and b:c = 7:10, then a:b:c = ?

A. 5:7:11

B. 12:14:20

C. 6:7:10

D. 6:8:10

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 6:7, b:c = 7:10 ⇒ a:b:c = 6:7:10.

This question belongs to: Maths Ratio and Proportion

Question #362

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Two numbers are in the ratio 4:10 and their sum is 595. Find the numbers.

A. 168 and 420

B. 336 and 840

C. 158 and 436

D. 184 and 396

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Correct Answer: Option A

Explanation:
Numbers = 4k and 10k. 4k + 10k = 595 ⇒ k = 42. Thus, numbers are 168 and 420.

This question belongs to: Maths Ratio and Proportion

Question #363

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

A. 6:6:6

B. 7:7:5

C. 14:12:10

D. 7:6:5

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Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

Question #364

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

A. 3:8:9

B. 8:16:16

C. 4:8:8

D. 4:9:8

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Correct Answer: Option C

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

This question belongs to: Maths Ratio and Proportion

Question #365

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Ratio of present ages of A and B is 5:7. After 9 years, the ratio becomes 6:10. Present age of A is?

A. 45 years

B. 40 years

C. 50 years

D. 90 years

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Correct Answer: Option A

Explanation:
Let ages 5k and 7k. Then (5k + 9)/(7k + 9) = 6/10. Solving gives k ≈ 9, age of A = 5*9 = 45.

This question belongs to: Maths Ratio and Proportion

Question #366

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

A. 8:10:8

B. 3:5:5

C. 4:6:4

D. 4:5:4

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Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

Question #367

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

A. 7:9:9

B. 7:8:9

C. 6:8:10

D. 14:16:18

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Correct Answer: Option B

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

This question belongs to: Maths Ratio and Proportion

Question #368

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

A. 6:8:14

B. 3:5:7

C. 2:4:8

D. 3:4:7

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Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

Question #369

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

A. 6:8:8

B. 6:9:8

C. 5:8:9

D. 12:16:16

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Correct Answer: Option A

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

This question belongs to: Maths Ratio and Proportion

Question #370

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If a:b = 6:9 and b:c = 9:10, then a:b:c = ?

A. 5:9:11

B. 6:10:10

C. 6:9:10

D. 12:18:20

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 6:9, b:c = 9:10 ⇒ a:b:c = 6:9:10.

This question belongs to: Maths Ratio and Proportion

Question #371

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Find the mean proportional between 26 and 77.

A. 103

B. 44

C. 47

D. 88

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Correct Answer: Option B

Explanation:
Mean proportional = √(26 × 77) = √(2002) = 44.

This question belongs to: Maths Ratio and Proportion

Question #372

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Two numbers are in ratio 6:12. Their difference is 91. What is their sum?

A. 198

B. 533

C. 396

D. 449

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Correct Answer: Option C

Explanation:
Numbers 6k, 12k. Difference |6-12|k = 91 ⇒ k = 15. Sum = (6+12)k ≈ 396.

This question belongs to: Maths Ratio and Proportion

Question #373

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Two numbers are in ratio 4:9. Their difference is 73. What is their sum?

A. 557

B. 260

C. 656

D. 520

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Correct Answer: Option D

Explanation:
Numbers 4k, 9k. Difference |4-9|k = 73 ⇒ k = 14. Sum = (4+9)k ≈ 520.

This question belongs to: Maths Ratio and Proportion

Question #374

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Ratio of present ages of A and B is 5:8. After 6 years, the ratio becomes 6:11. Present age of A is?

A. 74 years

B. 85 years

C. 80 years

D. 160 years

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Correct Answer: Option C

Explanation:
Let ages 5k and 8k. Then (5k + 6)/(8k + 6) = 6/11. Solving gives k ≈ 16, age of A = 5*16 = 80.

This question belongs to: Maths Ratio and Proportion

Question #375

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Milk and water are in ratio 4:3 in a 173 L mixture. Quantity of milk?

A. 75 L

B. 98 L

C. 196 L

D. 140 L

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Correct Answer: Option B

Explanation:
Total parts = 7. Milk = [4 / (4+3)] × 173 = 98 L.

This question belongs to: Maths Ratio and Proportion

Question #376

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Two numbers are in ratio 10:4. Their difference is 127. What is their sum?

A. 175

B. 449

C. 388

D. 350

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Correct Answer: Option D

Explanation:
Numbers 10k, 4k. Difference |10-4|k = 127 ⇒ k = 21. Sum = (10+4)k ≈ 350.

This question belongs to: Maths Ratio and Proportion

Question #377

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If a:b = 5:9 and b:c = 9:7, then a:b:c = ?

A. 5:10:7

B. 4:9:8

C. 5:9:7

D. 10:18:14

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 5:9, b:c = 9:7 ⇒ a:b:c = 5:9:7.

This question belongs to: Maths Ratio and Proportion

Question #378

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

A. 59 years

B. 54 years

C. 48 years

D. 108 years

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Correct Answer: Option B

Explanation:
Let ages 6k and 5k. Then (6k + 5)/(5k + 5) = 7/6. Solving gives k ≈ 9, age of A = 6*9 = 54.

This question belongs to: Maths Ratio and Proportion

Question #379

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

A. 10:6:10

B. 5:3:5

C. 5:4:5

D. 4:3:6

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Correct Answer: Option B

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

This question belongs to: Maths Ratio and Proportion

Question #380

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Two numbers are in the ratio 7:4 and their sum is 257. Find the numbers.

A. 161 and 92

B. 176 and 65

C. 322 and 184

D. 143 and 110

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Correct Answer: Option A

Explanation:
Numbers = 7k and 4k. 7k + 4k = 257 ⇒ k = 23. Thus, numbers are 161 and 92.

This question belongs to: Maths Ratio and Proportion

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