Ratio and Proportion MCQs with Answers and Explanations for Competitive Exams

Question #301

Share Report

Two numbers are in the ratio 5:10 and their sum is 527. Find the numbers.

A. 189 and 327

B. 350 and 700

C. 175 and 350

D. 160 and 361

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Numbers = 5k and 10k. 5k + 10k = 527 ⇒ k = 35. Thus, numbers are 175 and 350.

This question belongs to: Maths Ratio and Proportion

Question #302

Share Report

If a:b = 2:6 and b:c = 6:11, then a:b:c = ?

A. 2:6:11

B. 4:12:22

C. 1:6:12

D. 2:7:11

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Combine ratios: a:b = 2:6, b:c = 6:11 ⇒ a:b:c = 2:6:11.

This question belongs to: Maths Ratio and Proportion

Question #303

Share Report

Two numbers are in the ratio 4:8 and their sum is 512. Find the numbers.

A. 336 and 672

B. 168 and 336

C. 178 and 309

D. 162 and 351

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Numbers = 4k and 8k. 4k + 8k = 512 ⇒ k = 42. Thus, numbers are 168 and 336.

This question belongs to: Maths Ratio and Proportion

Question #304

Share Report

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

A. 1:8:5

B. 2:8:4

C. 4:16:8

D. 2:9:4

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

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

This question belongs to: Maths Ratio and Proportion

Question #305

Share Report

Ratio of present ages of A and B is 4:4. After 6 years, the ratio becomes 5:5. Present age of A is?

A. 81 years

B. 89 years

C. 84 years

D. 168 years

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Let ages 4k and 4k. Then (4k + 6)/(4k + 6) = 5/5. Solving gives k ≈ 21, age of A = 4*21 = 84.

This question belongs to: Maths Ratio and Proportion

Question #306

Share Report

If a:b = 2:8 and b:c = 8:5, then a:b:c = ?

A. 2:8:5

B. 4:16:10

C. 1:8:6

D. 2:9:5

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Combine ratios: a:b = 2:8, b:c = 8:5 ⇒ a:b:c = 2:8:5.

This question belongs to: Maths Ratio and Proportion

Question #307

Share Report

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

A. 3:6:9

B. 8:12:16

C. 4:7:8

D. 4:6:8

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

Question #308

Share Report

Two numbers are in the ratio 13:11 and their sum is 287. Find the numbers.

A. 158 and 106

B. 138 and 127

C. 286 and 242

D. 143 and 121

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Numbers = 13k and 11k. 13k + 11k = 287 ⇒ k = 11. Thus, numbers are 143 and 121.

This question belongs to: Maths Ratio and Proportion

Question #309

Share Report

If a:b = 2:7 and b:c = 7:6, then a:b:c = ?

A. 2:8:6

B. 4:14:12

C. 1:7:7

D. 2:7:6

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Combine ratios: a:b = 2:7, b:c = 7:6 ⇒ a:b:c = 2:7:6.

This question belongs to: Maths Ratio and Proportion

Question #310

Share Report

Ratio of present ages of A and B is 5:8. After 12 years, the ratio becomes 6:11. Present age of A is?

A. 60 years

B. 110 years

C. 55 years

D. 50 years

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Let ages 5k and 8k. Then (5k + 12)/(8k + 12) = 6/11. Solving gives k ≈ 11, age of A = 5*11 = 55.

This question belongs to: Maths Ratio and Proportion

Question #311

Share Report

Find the mean proportional between 7 and 35.

A. 18

B. 15

C. 30

D. 42

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Mean proportional = √(7 × 35) = √(245) = 15.

This question belongs to: Maths Ratio and Proportion

Question #312

Share Report

Find the mean proportional between 20 and 36.

A. 52

B. 26

C. 56

D. 29

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Mean proportional = √(20 × 36) = √(720) = 26.

This question belongs to: Maths Ratio and Proportion

Question #313

Share Report

Find the mean proportional between 10 and 72.

A. 82

B. 26

C. 29

D. 52

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Mean proportional = √(10 × 72) = √(720) = 26.

This question belongs to: Maths Ratio and Proportion

Question #314

Share Report

Ratio of present ages of A and B is 4:8. After 6 years, the ratio becomes 5:10. Present age of A is?

A. 56 years

B. 52 years

C. 112 years

D. 61 years

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Let ages 4k and 8k. Then (4k + 6)/(8k + 6) = 5/10. Solving gives k ≈ 14, age of A = 4*14 = 56.

This question belongs to: Maths Ratio and Proportion

Question #315

Share Report

Two numbers are in ratio 11:6. Their difference is 58. What is their sum?

A. 272

B. 391

C. 310

D. 136

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Numbers 11k, 6k. Difference |11-6|k = 58 ⇒ k = 11. Sum = (11+6)k ≈ 272.

This question belongs to: Maths Ratio and Proportion

Question #316

Share Report

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

A. 5:5:9

B. 5:6:9

C. 4:5:10

D. 10:10:18

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

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

This question belongs to: Maths Ratio and Proportion

Question #317

Share Report

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

A. 16:14:24

B. 8:7:12

C. 7:7:13

D. 8:8:12

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

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

This question belongs to: Maths Ratio and Proportion

Question #318

Share Report

Two numbers are in ratio 7:12. Their difference is 121. What is their sum?

A. 190

B. 326

C. 218

D. 95

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Numbers 7k, 12k. Difference |7-12|k = 121 ⇒ k = 24. Sum = (7+12)k ≈ 190.

This question belongs to: Maths Ratio and Proportion

Question #319

Share Report

Find the mean proportional between 11 and 61.

A. 50

B. 72

C. 28

D. 25

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Mean proportional = √(11 × 61) = √(671) = 25.

This question belongs to: Maths Ratio and Proportion

Question #320

Share Report

Two numbers are in ratio 8:5. Their difference is 125. What is their sum?

A. 445

B. 403

C. 519

D. 201

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Numbers 8k, 5k. Difference |8-5|k = 125 ⇒ k = 41. Sum = (8+5)k ≈ 403.

This question belongs to: Maths Ratio and Proportion

Ratio and Proportion MCQs

Practice Questions

More Maths Topics