Ratio and Proportion MCQs with Answers and Explanations for Competitive Exams

Question #381

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

A. 4:7:10

B. 4:6:10

C. 3:6:11

D. 8:12:20

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Correct Answer: Option B

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

This question belongs to: Maths Ratio and Proportion

Question #382

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

A. 2:9:8

B. 1:8:9

C. 2:8:8

D. 4:16:16

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Correct Answer: Option C

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

This question belongs to: Maths Ratio and Proportion

Question #383

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

A. 10:10:10

B. 5:5:5

C. 5:6:5

D. 4:5:6

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Correct Answer: Option B

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

This question belongs to: Maths Ratio and Proportion

Question #384

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

A. 42 years

B. 50 years

C. 45 years

D. 90 years

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Correct Answer: Option C

Explanation:
Let ages 5k and 4k. Then (5k + 4)/(4k + 4) = 6/7. Solving gives k ≈ 9, age of A = 5*9 = 45.

This question belongs to: Maths Ratio and Proportion

Question #385

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

A. 6:3:4

B. 5:3:5

C. 12:6:8

D. 6:4:4

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Correct Answer: Option A

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

This question belongs to: Maths Ratio and Proportion

Question #386

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Two numbers are in ratio 7:10. Their difference is 99. What is their sum?

A. 546

B. 482

C. 459

D. 229

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Correct Answer: Option C

Explanation:
Numbers 7k, 10k. Difference |7-10|k = 99 ⇒ k = 33. Sum = (7+10)k ≈ 459.

This question belongs to: Maths Ratio and Proportion

Question #387

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

A. 49 years

B. 37 years

C. 88 years

D. 44 years

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Correct Answer: Option D

Explanation:
Let ages 4k and 8k. Then (4k + 8)/(8k + 8) = 6/10. Solving gives k ≈ 11, age of A = 4*11 = 44.

This question belongs to: Maths Ratio and Proportion

Question #388

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Milk and water are in ratio 9:2 in a 345 L mixture. Quantity of milk?

A. 63 L

B. 282 L

C. 303 L

D. 564 L

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Correct Answer: Option B

Explanation:
Total parts = 11. Milk = [9 / (9+2)] × 345 = 282 L.

This question belongs to: Maths Ratio and Proportion

Question #389

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Milk and water are in ratio 9:4 in a 416 L mixture. Quantity of milk?

A. 128 L

B. 576 L

C. 288 L

D. 313 L

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Correct Answer: Option C

Explanation:
Total parts = 13. Milk = [9 / (9+4)] × 416 = 288 L.

This question belongs to: Maths Ratio and Proportion

Question #390

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If a:b = 4:10 and b:c = 10:12, then a:b:c = ?

A. 4:10:12

B. 3:10:13

C. 8:20:24

D. 4:11:12

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 4:10, b:c = 10:12 ⇒ a:b:c = 4:10:12.

This question belongs to: Maths Ratio and Proportion

Question #391

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Ratio of present ages of A and B is 6:4. After 5 years, the ratio becomes 9:7. Present age of A is?

A. 108 years

B. 119 years

C. 114 years

D. 228 years

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Correct Answer: Option C

Explanation:
Let ages 6k and 4k. Then (6k + 5)/(4k + 5) = 9/7. Solving gives k ≈ 19, age of A = 6*19 = 114.

This question belongs to: Maths Ratio and Proportion

Question #392

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

A. 4:5:6

B. 3:4:7

C. 8:8:12

D. 4:4:6

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Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

Question #393

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

A. 7:6:9

B. 6:5:10

C. 7:5:9

D. 14:10:18

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Correct Answer: Option C

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

This question belongs to: Maths Ratio and Proportion

Question #394

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Milk and water are in ratio 5:7 in a 456 L mixture. Quantity of milk?

A. 229 L

B. 190 L

C. 380 L

D. 266 L

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Correct Answer: Option B

Explanation:
Total parts = 12. Milk = [5 / (5+7)] × 456 = 190 L.

This question belongs to: Maths Ratio and Proportion

Question #395

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Ratio of present ages of A and B is 7:8. After 11 years, the ratio becomes 10:10. Present age of A is?

A. 156 years

B. 161 years

C. 322 years

D. 166 years

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Correct Answer: Option B

Explanation:
Let ages 7k and 8k. Then (7k + 11)/(8k + 11) = 10/10. Solving gives k ≈ 23, age of A = 7*23 = 161.

This question belongs to: Maths Ratio and Proportion

Question #396

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Two numbers are in the ratio 10:4 and their sum is 482. Find the numbers.

A. 323 and 146

B. 680 and 272

C. 340 and 136

D. 357 and 117

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Correct Answer: Option C

Explanation:
Numbers = 10k and 4k. 10k + 4k = 482 ⇒ k = 34. Thus, numbers are 340 and 136.

This question belongs to: Maths Ratio and Proportion

Question #397

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If a:b = 2:5 and b:c = 5:10, then a:b:c = ?

A. 1:5:11

B. 4:10:20

C. 2:5:10

D. 2:6:10

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 2:5, b:c = 5:10 ⇒ a:b:c = 2:5:10.

This question belongs to: Maths Ratio and Proportion

Question #398

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Milk and water are in ratio 4:2 in a 505 L mixture. Quantity of milk?

A. 336 L

B. 383 L

C. 672 L

D. 169 L

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Correct Answer: Option A

Explanation:
Total parts = 6. Milk = [4 / (4+2)] × 505 = 336 L.

This question belongs to: Maths Ratio and Proportion

Question #399

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Milk and water are in ratio 8:4 in a 505 L mixture. Quantity of milk?

A. 672 L

B. 169 L

C. 379 L

D. 336 L

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Correct Answer: Option D

Explanation:
Total parts = 12. Milk = [8 / (8+4)] × 505 = 336 L.

This question belongs to: Maths Ratio and Proportion

Question #400

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Find the mean proportional between 25 and 32.

A. 57

B. 28

C. 31

D. 56

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Correct Answer: Option B

Explanation:
Mean proportional = √(25 × 32) = √(800) = 28.

This question belongs to: Maths Ratio and Proportion

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