Ratio and Proportion MCQs with Answers and Explanations for Competitive Exams

Question #181

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Find the mean proportional between 7 and 9.

A. 16

B. 14

C. 10

D. 7

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Correct Answer: Option D

Explanation:
Mean proportional = √(7 × 9) = √(63) = 7.

This question belongs to: Maths Ratio and Proportion

Question #182

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

A. 4:4:6

B. 8:6:12

C. 3:3:7

D. 4:3:6

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Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

Question #183

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Find the mean proportional between 4 and 21.

A. 9

B. 18

C. 25

D. 12

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Correct Answer: Option A

Explanation:
Mean proportional = √(4 × 21) = √(84) = 9.

This question belongs to: Maths Ratio and Proportion

Question #184

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

A. 7:5:7

B. 16:10:12

C. 8:6:6

D. 8:5:6

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Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

Question #185

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

A. 224 years

B. 117 years

C. 112 years

D. 109 years

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Correct Answer: Option C

Explanation:
Let ages 7k and 5k. Then (7k + 9)/(5k + 9) = 9/6. Solving gives k ≈ 16, age of A = 7*16 = 112.

This question belongs to: Maths Ratio and Proportion

Question #186

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Find the mean proportional between 28 and 14.

A. 38

B. 19

C. 22

D. 42

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Correct Answer: Option B

Explanation:
Mean proportional = √(28 × 14) = √(392) = 19.

This question belongs to: Maths Ratio and Proportion

Question #187

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Two numbers are in the ratio 13:5 and their sum is 464. Find the numbers.

A. 314 and 136

B. 650 and 250

C. 341 and 114

D. 325 and 125

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Correct Answer: Option D

Explanation:
Numbers = 13k and 5k. 13k + 5k = 464 ⇒ k = 25. Thus, numbers are 325 and 125.

This question belongs to: Maths Ratio and Proportion

Question #188

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Milk and water are in ratio 5:7 in a 377 L mixture. Quantity of milk?

A. 220 L

B. 314 L

C. 157 L

D. 199 L

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Correct Answer: Option C

Explanation:
Total parts = 12. Milk = [5 / (5+7)] × 377 = 157 L.

This question belongs to: Maths Ratio and Proportion

Question #189

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Milk and water are in ratio 4:3 in a 255 L mixture. Quantity of milk?

A. 191 L

B. 145 L

C. 290 L

D. 110 L

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Correct Answer: Option B

Explanation:
Total parts = 7. Milk = [4 / (4+3)] × 255 = 145 L.

This question belongs to: Maths Ratio and Proportion

Question #190

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Two numbers are in the ratio 15:6 and their sum is 278. Find the numbers.

A. 195 and 78

B. 390 and 156

C. 221 and 61

D. 181 and 92

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Correct Answer: Option A

Explanation:
Numbers = 15k and 6k. 15k + 6k = 278 ⇒ k = 13. Thus, numbers are 195 and 78.

This question belongs to: Maths Ratio and Proportion

Question #191

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

A. 3:7:5

B. 4:8:4

C. 4:7:4

D. 8:14:8

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Correct Answer: Option C

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

This question belongs to: Maths Ratio and Proportion

Question #192

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If a:b = 3:5 and b:c = 5:9, then a:b:c = ?

A. 3:6:9

B. 2:5:10

C. 3:5:9

D. 6:10:18

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 3:5, b:c = 5:9 ⇒ a:b:c = 3:5:9.

This question belongs to: Maths Ratio and Proportion

Question #193

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Find the mean proportional between 32 and 50.

A. 40

B. 82

C. 80

D. 43

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Correct Answer: Option A

Explanation:
Mean proportional = √(32 × 50) = √(1600) = 40.

This question belongs to: Maths Ratio and Proportion

Question #194

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Two numbers are in ratio 7:12. Their difference is 57. What is their sum?

A. 266

B. 228

C. 364

D. 114

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Correct Answer: Option B

Explanation:
Numbers 7k, 12k. Difference |7-12|k = 57 ⇒ k = 11. Sum = (7+12)k ≈ 228.

This question belongs to: Maths Ratio and Proportion

Question #195

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

A. 4:8:6

B. 5:9:5

C. 5:8:5

D. 10:16:10

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Correct Answer: Option C

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

This question belongs to: Maths Ratio and Proportion

Question #196

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Two numbers are in ratio 11:9. Their difference is 111. What is their sum?

A. 240

B. 480

C. 526

D. 560

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Correct Answer: Option B

Explanation:
Numbers 11k, 9k. Difference |11-9|k = 111 ⇒ k = 55. Sum = (11+9)k ≈ 480.

This question belongs to: Maths Ratio and Proportion

Question #197

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Two numbers are in ratio 7:11. Their difference is 125. What is their sum?

A. 389

B. 153

C. 345

D. 306

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Correct Answer: Option D

Explanation:
Numbers 7k, 11k. Difference |7-11|k = 125 ⇒ k = 31. Sum = (7+11)k ≈ 306.

This question belongs to: Maths Ratio and Proportion

Question #198

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Find the mean proportional between 19 and 77.

A. 96

B. 41

C. 38

D. 76

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Correct Answer: Option C

Explanation:
Mean proportional = √(19 × 77) = √(1463) = 38.

This question belongs to: Maths Ratio and Proportion

Question #199

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If a:b = 3:4 and b:c = 4:5, then a:b:c = ?

A. 2:4:6

B. 6:8:10

C. 3:4:5

D. 3:5:5

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 3:4, b:c = 4:5 ⇒ a:b:c = 3:4:5.

This question belongs to: Maths Ratio and Proportion

Question #200

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Two numbers are in the ratio 15:9 and their sum is 542. Find the numbers.

A. 330 and 198

B. 320 and 205

C. 342 and 171

D. 660 and 396

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Correct Answer: Option A

Explanation:
Numbers = 15k and 9k. 15k + 9k = 542 ⇒ k = 22. Thus, numbers are 330 and 198.

This question belongs to: Maths Ratio and Proportion

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