Ratio and Proportion MCQs with Answers and Explanations for Competitive Exams

Question #101

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Milk and water are in ratio 6:6 in a 413 L mixture. Quantity of milk?

A. 412 L

B. 206 L

C. 207 L

D. 245 L

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Correct Answer: Option B

Explanation:
Total parts = 12. Milk = [6 / (6+6)] × 413 = 206 L.

This question belongs to: Maths Ratio and Proportion

Question #102

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

A. 7:4:5

B. 8:5:4

C. 8:4:4

D. 16:8:8

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Correct Answer: Option C

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

This question belongs to: Maths Ratio and Proportion

Question #103

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Two numbers are in the ratio 14:6 and their sum is 644. Find the numbers.

A. 433 and 198

B. 462 and 176

C. 896 and 384

D. 448 and 192

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Correct Answer: Option D

Explanation:
Numbers = 14k and 6k. 14k + 6k = 644 ⇒ k = 32. Thus, numbers are 448 and 192.

This question belongs to: Maths Ratio and Proportion

Question #104

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If a:b = 8:4 and b:c = 4:11, then a:b:c = ?

A. 8:5:11

B. 7:4:12

C. 16:8:22

D. 8:4:11

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 8:4, b:c = 4:11 ⇒ a:b:c = 8:4:11.

This question belongs to: Maths Ratio and Proportion

Question #105

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Two numbers are in ratio 10:6. Their difference is 122. What is their sum?

A. 630

B. 582

C. 272

D. 544

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Correct Answer: Option D

Explanation:
Numbers 10k, 6k. Difference |10-6|k = 122 ⇒ k = 30. Sum = (10+6)k ≈ 544.

This question belongs to: Maths Ratio and Proportion

Question #106

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If a:b = 5:10 and b:c = 10:4, then a:b:c = ?

A. 5:11:4

B. 4:10:5

C. 5:10:4

D. 10:20:8

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 5:10, b:c = 10:4 ⇒ a:b:c = 5:10:4.

This question belongs to: Maths Ratio and Proportion

Question #107

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Milk and water are in ratio 6:2 in a 401 L mixture. Quantity of milk?

A. 345 L

B. 600 L

C. 300 L

D. 101 L

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Correct Answer: Option C

Explanation:
Total parts = 8. Milk = [6 / (6+2)] × 401 = 300 L.

This question belongs to: Maths Ratio and Proportion

Question #108

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Two numbers are in ratio 7:4. Their difference is 143. What is their sum?

A. 290

B. 264

C. 132

D. 372

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Correct Answer: Option B

Explanation:
Numbers 7k, 4k. Difference |7-4|k = 143 ⇒ k = 47. Sum = (7+4)k ≈ 264.

This question belongs to: Maths Ratio and Proportion

Question #109

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

A. 3:6:7

B. 4:6:6

C. 8:12:12

D. 4:7:6

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Correct Answer: Option B

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

This question belongs to: Maths Ratio and Proportion

Question #110

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If a:b = 2:3 and b:c = 3:9, then a:b:c = ?

A. 2:3:9

B. 1:3:10

C. 4:6:18

D. 2:4:9

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 2:3, b:c = 3:9 ⇒ a:b:c = 2:3:9.

This question belongs to: Maths Ratio and Proportion

Question #111

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If a:b = 5:6 and b:c = 6:9, then a:b:c = ?

A. 5:7:9

B. 10:12:18

C. 4:6:10

D. 5:6:9

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 5:6, b:c = 6:9 ⇒ a:b:c = 5:6:9.

This question belongs to: Maths Ratio and Proportion

Question #112

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If a:b = 7:5 and b:c = 5:12, then a:b:c = ?

A. 14:10:24

B. 6:5:13

C. 7:6:12

D. 7:5:12

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 7:5, b:c = 5:12 ⇒ a:b:c = 7:5:12.

This question belongs to: Maths Ratio and Proportion

Question #113

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Two numbers are in the ratio 10:13 and their sum is 790. Find the numbers.

A. 353 and 416

B. 680 and 884

C. 340 and 442

D. 332 and 454

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Correct Answer: Option C

Explanation:
Numbers = 10k and 13k. 10k + 13k = 790 ⇒ k = 34. Thus, numbers are 340 and 442.

This question belongs to: Maths Ratio and Proportion

Question #114

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

A. 4:7:8

B. 10:14:14

C. 5:7:7

D. 5:8:7

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Correct Answer: Option C

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

This question belongs to: Maths Ratio and Proportion

Question #115

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

A. 6:9:6

B. 5:8:7

C. 12:16:12

D. 6:8:6

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Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

Question #116

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If a:b = 5:8 and b:c = 8:6, then a:b:c = ?

A. 5:9:6

B. 4:8:7

C. 5:8:6

D. 10:16:12

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 5:8, b:c = 8:6 ⇒ a:b:c = 5:8:6.

This question belongs to: Maths Ratio and Proportion

Question #117

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

A. 2:7:5

B. 6:14:8

C. 3:8:4

D. 3:7:4

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Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

Question #118

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Ratio of present ages of A and B is 3:6. After 11 years, the ratio becomes 5:9. Present age of A is?

A. 49 years

B. 114 years

C. 57 years

D. 62 years

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Correct Answer: Option C

Explanation:
Let ages 3k and 6k. Then (3k + 11)/(6k + 11) = 5/9. Solving gives k ≈ 19, age of A = 3*19 = 57.

This question belongs to: Maths Ratio and Proportion

Question #119

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Two numbers are in ratio 8:11. Their difference is 86. What is their sum?

A. 427

B. 344

C. 304

D. 152

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Correct Answer: Option C

Explanation:
Numbers 8k, 11k. Difference |8-11|k = 86 ⇒ k = 28. Sum = (8+11)k ≈ 304.

This question belongs to: Maths Ratio and Proportion

Question #120

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Two numbers are in the ratio 5:9 and their sum is 612. Find the numbers.

A. 215 and 387

B. 196 and 394

C. 430 and 774

D. 240 and 375

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Correct Answer: Option A

Explanation:
Numbers = 5k and 9k. 5k + 9k = 612 ⇒ k = 43. Thus, numbers are 215 and 387.

This question belongs to: Maths Ratio and Proportion

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