Ratio and Proportion MCQs with Answers and Explanations for Competitive Exams

Question #261

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If a:b = 8:5 and b:c = 5:9, then a:b:c = ?

A. 8:5:9

B. 7:5:10

C. 16:10:18

D. 8:6:9

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 8:5, b:c = 5:9 ⇒ a:b:c = 8:5:9.

This question belongs to: Maths Ratio and Proportion

Question #262

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Two numbers are in the ratio 12:9 and their sum is 368. Find the numbers.

A. 219 and 124

B. 408 and 306

C. 204 and 153

D. 187 and 162

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Correct Answer: Option C

Explanation:
Numbers = 12k and 9k. 12k + 9k = 368 ⇒ k = 17. Thus, numbers are 204 and 153.

This question belongs to: Maths Ratio and Proportion

Question #263

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Two numbers are in the ratio 6:5 and their sum is 616. Find the numbers.

A. 357 and 269

B. 672 and 560

C. 328 and 295

D. 336 and 280

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Correct Answer: Option D

Explanation:
Numbers = 6k and 5k. 6k + 5k = 616 ⇒ k = 56. Thus, numbers are 336 and 280.

This question belongs to: Maths Ratio and Proportion

Question #264

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

A. 5:9:10

B. 6:10:9

C. 12:18:18

D. 6:9:9

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Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

Question #265

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If a:b = 5:8 and b:c = 8:9, then a:b:c = ?

A. 5:9:9

B. 10:16:18

C. 4:8:10

D. 5:8:9

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 5:8, b:c = 8:9 ⇒ a:b:c = 5:8:9.

This question belongs to: Maths Ratio and Proportion

Question #266

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

A. 2:6:5

B. 3:7:4

C. 6:12:8

D. 3:6:4

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Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

Question #267

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Two numbers are in the ratio 14:7 and their sum is 130. Find the numbers.

A. 110 and 31

B. 70 and 52

C. 84 and 42

D. 168 and 84

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Correct Answer: Option C

Explanation:
Numbers = 14k and 7k. 14k + 7k = 130 ⇒ k = 6. Thus, numbers are 84 and 42.

This question belongs to: Maths Ratio and Proportion

Question #268

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

A. 5:3:13

B. 12:6:24

C. 6:4:12

D. 6:3:12

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Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

Question #269

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Two numbers are in the ratio 13:6 and their sum is 485. Find the numbers.

A. 306 and 158

B. 650 and 300

C. 325 and 150

D. 342 and 131

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Correct Answer: Option C

Explanation:
Numbers = 13k and 6k. 13k + 6k = 485 ⇒ k = 25. Thus, numbers are 325 and 150.

This question belongs to: Maths Ratio and Proportion

Question #270

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Two numbers are in the ratio 6:5 and their sum is 517. Find the numbers.

A. 564 and 470

B. 282 and 235

C. 304 and 215

D. 267 and 244

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Correct Answer: Option B

Explanation:
Numbers = 6k and 5k. 6k + 5k = 517 ⇒ k = 47. Thus, numbers are 282 and 235.

This question belongs to: Maths Ratio and Proportion

Question #271

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Find the mean proportional between 15 and 43.

A. 58

B. 25

C. 28

D. 50

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Correct Answer: Option B

Explanation:
Mean proportional = √(15 × 43) = √(645) = 25.

This question belongs to: Maths Ratio and Proportion

Question #272

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Find the mean proportional between 23 and 54.

A. 35

B. 77

C. 70

D. 38

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Correct Answer: Option A

Explanation:
Mean proportional = √(23 × 54) = √(1242) = 35.

This question belongs to: Maths Ratio and Proportion

Question #273

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

A. 4:5:7

B. 10:10:12

C. 5:6:6

D. 5:5:6

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Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

Question #274

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Find the mean proportional between 4 and 45.

A. 49

B. 13

C. 16

D. 26

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Correct Answer: Option B

Explanation:
Mean proportional = √(4 × 45) = √(180) = 13.

This question belongs to: Maths Ratio and Proportion

Question #275

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

A. 8:20:10

B. 4:11:5

C. 4:10:5

D. 3:10:6

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Correct Answer: Option C

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

This question belongs to: Maths Ratio and Proportion

Question #276

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Two numbers are in ratio 7:4. Their difference is 53. What is their sum?

A. 547

B. 418

C. 471

D. 209

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Correct Answer: Option B

Explanation:
Numbers 7k, 4k. Difference |7-4|k = 53 ⇒ k = 17. Sum = (7+4)k ≈ 418.

This question belongs to: Maths Ratio and Proportion

Question #277

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Two numbers are in the ratio 4:5 and their sum is 398. Find the numbers.

A. 157 and 225

B. 190 and 207

C. 176 and 220

D. 352 and 440

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Correct Answer: Option C

Explanation:
Numbers = 4k and 5k. 4k + 5k = 398 ⇒ k = 44. Thus, numbers are 176 and 220.

This question belongs to: Maths Ratio and Proportion

Question #278

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Find the mean proportional between 33 and 15.

A. 44

B. 48

C. 25

D. 22

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Correct Answer: Option D

Explanation:
Mean proportional = √(33 × 15) = √(495) = 22.

This question belongs to: Maths Ratio and Proportion

Question #279

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Ratio of present ages of A and B is 7:5. After 10 years, the ratio becomes 8:8. Present age of A is?

A. 133 years

B. 127 years

C. 138 years

D. 266 years

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Correct Answer: Option A

Explanation:
Let ages 7k and 5k. Then (7k + 10)/(5k + 10) = 8/8. Solving gives k ≈ 19, age of A = 7*19 = 133.

This question belongs to: Maths Ratio and Proportion

Question #280

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If a:b = 2:9 and b:c = 9:7, then a:b:c = ?

A. 4:18:14

B. 2:9:7

C. 1:9:8

D. 2:10:7

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 2:9, b:c = 9:7 ⇒ a:b:c = 2:9:7.

This question belongs to: Maths Ratio and Proportion

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