Ratio and Proportion MCQs with Answers and Explanations for Competitive Exams

Question #1

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Milk and water are in ratio 5:7 in a 476 L mixture. Quantity of milk?

A. 198 L

B. 230 L

C. 396 L

D. 278 L

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Correct Answer: Option A

Explanation:
Total parts = 12. Milk = [5 / (5+7)] × 476 = 198 L.

This question belongs to: Maths Ratio and Proportion

Question #2

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

A. 3:4:10

B. 6:6:20

C. 3:3:10

D. 2:3:11

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Correct Answer: Option C

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

This question belongs to: Maths Ratio and Proportion

Question #3

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

A. 16:18:16

B. 8:9:8

C. 8:10:8

D. 7:9:9

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Correct Answer: Option B

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

This question belongs to: Maths Ratio and Proportion

Question #4

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Two numbers are in the ratio 7:8 and their sum is 572. Find the numbers.

A. 296 and 283

B. 246 and 324

C. 266 and 304

D. 532 and 608

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Correct Answer: Option C

Explanation:
Numbers = 7k and 8k. 7k + 8k = 572 ⇒ k = 38. Thus, numbers are 266 and 304.

This question belongs to: Maths Ratio and Proportion

Question #5

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If a:b = 4:5 and b:c = 5:6, then a:b:c = ?

A. 8:10:12

B. 3:5:7

C. 4:5:6

D. 4:6:6

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 4:5, b:c = 5:6 ⇒ a:b:c = 4:5:6.

This question belongs to: Maths Ratio and Proportion

Question #6

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If a:b = 4:9 and b:c = 9:10, then a:b:c = ?

A. 8:18:20

B. 3:9:11

C. 4:10:10

D. 4:9:10

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 4:9, b:c = 9:10 ⇒ a:b:c = 4:9:10.

This question belongs to: Maths Ratio and Proportion

Question #7

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Two numbers are in the ratio 8:6 and their sum is 434. Find the numbers.

A. 496 and 372

B. 248 and 186

C. 230 and 206

D. 262 and 167

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Correct Answer: Option B

Explanation:
Numbers = 8k and 6k. 8k + 6k = 434 ⇒ k = 31. Thus, numbers are 248 and 186.

This question belongs to: Maths Ratio and Proportion

Question #8

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If a:b = 7:3 and b:c = 3:8, then a:b:c = ?

A. 7:4:8

B. 6:3:9

C. 14:6:16

D. 7:3:8

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 7:3, b:c = 3:8 ⇒ a:b:c = 7:3:8.

This question belongs to: Maths Ratio and Proportion

Question #9

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Two numbers are in the ratio 5:3 and their sum is 590. Find the numbers.

A. 348 and 236

B. 730 and 438

C. 389 and 195

D. 365 and 219

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Correct Answer: Option D

Explanation:
Numbers = 5k and 3k. 5k + 3k = 590 ⇒ k = 73. Thus, numbers are 365 and 219.

This question belongs to: Maths Ratio and Proportion

Question #10

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Milk and water are in ratio 3:4 in a 437 L mixture. Quantity of milk?

A. 250 L

B. 187 L

C. 374 L

D. 211 L

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Correct Answer: Option B

Explanation:
Total parts = 7. Milk = [3 / (3+4)] × 437 = 187 L.

This question belongs to: Maths Ratio and Proportion

Question #11

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Ratio of present ages of A and B is 3:7. After 5 years, the ratio becomes 5:10. Present age of A is?

A. 144 years

B. 77 years

C. 72 years

D. 65 years

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Correct Answer: Option C

Explanation:
Let ages 3k and 7k. Then (3k + 5)/(7k + 5) = 5/10. Solving gives k ≈ 24, age of A = 3*24 = 72.

This question belongs to: Maths Ratio and Proportion

Question #12

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

A. 6:9:6

B. 7:10:5

C. 14:18:10

D. 7:9:5

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Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

Question #13

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If a:b = 7:8 and b:c = 8:12, then a:b:c = ?

A. 7:8:12

B. 6:8:13

C. 7:9:12

D. 14:16:24

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 7:8, b:c = 8:12 ⇒ a:b:c = 7:8:12.

This question belongs to: Maths Ratio and Proportion

Question #14

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If a:b = 2:4 and b:c = 4:8, then a:b:c = ?

A. 2:5:8

B. 2:4:8

C. 1:4:9

D. 4:8:16

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 2:4, b:c = 4:8 ⇒ a:b:c = 2:4:8.

This question belongs to: Maths Ratio and Proportion

Question #15

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Two numbers are in ratio 12:7. Their difference is 51. What is their sum?

A. 596

B. 456

C. 504

D. 228

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Correct Answer: Option B

Explanation:
Numbers 12k, 7k. Difference |12-7|k = 51 ⇒ k = 10. Sum = (12+7)k ≈ 456.

This question belongs to: Maths Ratio and Proportion

Question #16

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Two numbers are in ratio 7:5. Their difference is 102. What is their sum?

A. 546

B. 647

C. 504

D. 252

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Correct Answer: Option C

Explanation:
Numbers 7k, 5k. Difference |7-5|k = 102 ⇒ k = 51. Sum = (7+5)k ≈ 504.

This question belongs to: Maths Ratio and Proportion

Question #17

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Milk and water are in ratio 7:6 in a 528 L mixture. Quantity of milk?

A. 284 L

B. 244 L

C. 568 L

D. 334 L

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Correct Answer: Option A

Explanation:
Total parts = 13. Milk = [7 / (7+6)] × 528 = 284 L.

This question belongs to: Maths Ratio and Proportion

Question #18

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If a:b = 5:10 and b:c = 10:6, then a:b:c = ?

A. 5:11:6

B. 10:20:12

C. 4:10:7

D. 5:10:6

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 5:10, b:c = 10:6 ⇒ a:b:c = 5:10:6.

This question belongs to: Maths Ratio and Proportion

Question #19

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If a:b = 4:9 and b:c = 9:11, then a:b:c = ?

A. 4:10:11

B. 8:18:22

C. 3:9:12

D. 4:9:11

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 4:9, b:c = 9:11 ⇒ a:b:c = 4:9:11.

This question belongs to: Maths Ratio and Proportion

Question #20

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If a:b = 2:10 and b:c = 10:12, then a:b:c = ?

A. 2:11:12

B. 2:10:12

C. 1:10:13

D. 4:20:24

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 2:10, b:c = 10:12 ⇒ a:b:c = 2:10:12.

This question belongs to: Maths Ratio and Proportion

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