Ratio and Proportion MCQs with Answers and Explanations for Competitive Exams

Question #341

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If a:b = 8:4 and b:c = 4:6, then a:b:c = ?

A. 8:4:6

B. 16:8:12

C. 8:5:6

D. 7:4:7

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 8:4, b:c = 4:6 ⇒ a:b:c = 8:4:6.

This question belongs to: Maths Ratio and Proportion

Question #342

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

A. 50 years

B. 60 years

C. 55 years

D. 110 years

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Correct Answer: Option C

Explanation:
Let ages 5k and 5k. Then (5k + 7)/(5k + 7) = 6/7. Solving gives k ≈ 11, age of A = 5*11 = 55.

This question belongs to: Maths Ratio and Proportion

Question #343

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If a:b = 2:4 and b:c = 4:6, then a:b:c = ?

A. 4:8:12

B. 2:4:6

C. 2:5:6

D. 1:4:7

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 2:4, b:c = 4:6 ⇒ a:b:c = 2:4:6.

This question belongs to: Maths Ratio and Proportion

Question #344

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If a:b = 4:5 and b:c = 5:9, then a:b:c = ?

A. 3:5:10

B. 8:10:18

C. 4:6:9

D. 4:5:9

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 4:5, b:c = 5:9 ⇒ a:b:c = 4:5:9.

This question belongs to: Maths Ratio and Proportion

Question #345

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Milk and water are in ratio 9:6 in a 275 L mixture. Quantity of milk?

A. 110 L

B. 186 L

C. 330 L

D. 165 L

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Correct Answer: Option D

Explanation:
Total parts = 15. Milk = [9 / (9+6)] × 275 = 165 L.

This question belongs to: Maths Ratio and Proportion

Question #346

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Two numbers are in the ratio 5:6 and their sum is 406. Find the numbers.

A. 196 and 203

B. 360 and 432

C. 160 and 225

D. 180 and 216

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Correct Answer: Option D

Explanation:
Numbers = 5k and 6k. 5k + 6k = 406 ⇒ k = 36. Thus, numbers are 180 and 216.

This question belongs to: Maths Ratio and Proportion

Question #347

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Find the mean proportional between 15 and 13.

A. 13

B. 16

C. 26

D. 28

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Correct Answer: Option A

Explanation:
Mean proportional = √(15 × 13) = √(195) = 13.

This question belongs to: Maths Ratio and Proportion

Question #348

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Find the mean proportional between 34 and 17.

A. 24

B. 48

C. 27

D. 51

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Correct Answer: Option A

Explanation:
Mean proportional = √(34 × 17) = √(578) = 24.

This question belongs to: Maths Ratio and Proportion

Question #349

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If a:b = 3:6 and b:c = 6:9, then a:b:c = ?

A. 3:6:9

B. 3:7:9

C. 6:12:18

D. 2:6:10

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 3:6, b:c = 6:9 ⇒ a:b:c = 3:6:9.

This question belongs to: Maths Ratio and Proportion

Question #350

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

A. 3:6:5

B. 6:10:10

C. 2:5:6

D. 3:5:5

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Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

Question #351

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Find the mean proportional between 10 and 48.

A. 42

B. 24

C. 58

D. 21

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Correct Answer: Option D

Explanation:
Mean proportional = √(10 × 48) = √(480) = 21.

This question belongs to: Maths Ratio and Proportion

Question #352

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Two numbers are in the ratio 12:10 and their sum is 753. Find the numbers.

A. 408 and 340

B. 396 and 345

C. 429 and 320

D. 816 and 680

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Correct Answer: Option A

Explanation:
Numbers = 12k and 10k. 12k + 10k = 753 ⇒ k = 34. Thus, numbers are 408 and 340.

This question belongs to: Maths Ratio and Proportion

Question #353

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If a:b = 3:7 and b:c = 7:9, then a:b:c = ?

A. 3:8:9

B. 6:14:18

C. 2:7:10

D. 3:7:9

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 3:7, b:c = 7:9 ⇒ a:b:c = 3:7:9.

This question belongs to: Maths Ratio and Proportion

Question #354

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If a:b = 8:10 and b:c = 10:6, then a:b:c = ?

A. 8:11:6

B. 7:10:7

C. 8:10:6

D. 16:20:12

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 8:10, b:c = 10:6 ⇒ a:b:c = 8:10:6.

This question belongs to: Maths Ratio and Proportion

Question #355

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

A. 3:3:5

B. 6:6:10

C. 3:4:5

D. 2:3:6

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Correct Answer: Option A

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

This question belongs to: Maths Ratio and Proportion

Question #356

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

A. 16:16:20

B. 7:8:11

C. 8:8:10

D. 8:9:10

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Correct Answer: Option C

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

This question belongs to: Maths Ratio and Proportion

Question #357

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Find the mean proportional between 11 and 45.

A. 44

B. 25

C. 22

D. 56

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Correct Answer: Option C

Explanation:
Mean proportional = √(11 × 45) = √(495) = 22.

This question belongs to: Maths Ratio and Proportion

Question #358

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Two numbers are in the ratio 10:13 and their sum is 454. Find the numbers.

A. 190 and 247

B. 204 and 226

C. 380 and 494

D. 174 and 258

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Correct Answer: Option A

Explanation:
Numbers = 10k and 13k. 10k + 13k = 454 ⇒ k = 19. Thus, numbers are 190 and 247.

This question belongs to: Maths Ratio and Proportion

Question #359

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

A. 3:8:10

B. 6:16:20

C. 2:8:11

D. 3:9:10

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Correct Answer: Option A

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

This question belongs to: Maths Ratio and Proportion

Question #360

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If a:b = 3:6 and b:c = 6:12, then a:b:c = ?

A. 3:7:12

B. 2:6:13

C. 3:6:12

D. 6:12:24

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 3:6, b:c = 6:12 ⇒ a:b:c = 3:6:12.

This question belongs to: Maths Ratio and Proportion

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