Ratio and Proportion MCQs with Answers and Explanations for Competitive Exams

Question #141

Share Report

Two numbers are in the ratio 12:9 and their sum is 602. Find the numbers.

A. 365 and 225

B. 672 and 504

C. 328 and 270

D. 336 and 252

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Numbers = 12k and 9k. 12k + 9k = 602 ⇒ k = 28. Thus, numbers are 336 and 252.

This question belongs to: Maths Ratio and Proportion

Question #142

Share Report

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

A. 3:4:12

B. 6:6:24

C. 3:3:12

D. 2:3:13

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

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

This question belongs to: Maths Ratio and Proportion

Question #143

Share Report

If a:b = 6:5 and b:c = 5:11, then a:b:c = ?

A. 5:5:12

B. 6:5:11

C. 6:6:11

D. 12:10:22

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Combine ratios: a:b = 6:5, b:c = 5:11 ⇒ a:b:c = 6:5:11.

This question belongs to: Maths Ratio and Proportion

Question #144

Share Report

If a:b = 4:6 and b:c = 6:11, then a:b:c = ?

A. 4:7:11

B. 3:6:12

C. 8:12:22

D. 4:6:11

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Combine ratios: a:b = 4:6, b:c = 6:11 ⇒ a:b:c = 4:6:11.

This question belongs to: Maths Ratio and Proportion

Question #145

Share Report

If a:b = 3:8 and b:c = 8:4, then a:b:c = ?

A. 6:16:8

B. 3:8:4

C. 3:9:4

D. 2:8:5

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Combine ratios: a:b = 3:8, b:c = 8:4 ⇒ a:b:c = 3:8:4.

This question belongs to: Maths Ratio and Proportion

Question #146

Share Report

Ratio of present ages of A and B is 7:4. After 7 years, the ratio becomes 10:5. Present age of A is?

A. 78 years

B. 84 years

C. 89 years

D. 168 years

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Let ages 7k and 4k. Then (7k + 7)/(4k + 7) = 10/5. Solving gives k ≈ 12, age of A = 7*12 = 84.

This question belongs to: Maths Ratio and Proportion

Question #147

Share Report

If a:b = 3:10 and b:c = 10:4, then a:b:c = ?

A. 3:11:4

B. 2:10:5

C. 3:10:4

D. 6:20:8

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Combine ratios: a:b = 3:10, b:c = 10:4 ⇒ a:b:c = 3:10:4.

This question belongs to: Maths Ratio and Proportion

Question #148

Share Report

Find the mean proportional between 24 and 32.

A. 56

B. 30

C. 54

D. 27

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Mean proportional = √(24 × 32) = √(768) = 27.

This question belongs to: Maths Ratio and Proportion

Question #149

Share Report

If a:b = 2:5 and b:c = 5:7, then a:b:c = ?

A. 1:5:8

B. 2:5:7

C. 4:10:14

D. 2:6:7

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Combine ratios: a:b = 2:5, b:c = 5:7 ⇒ a:b:c = 2:5:7.

This question belongs to: Maths Ratio and Proportion

Question #150

Share Report

Two numbers are in ratio 9:4. Their difference is 113. What is their sum?

A. 286

B. 395

C. 143

D. 326

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Numbers 9k, 4k. Difference |9-4|k = 113 ⇒ k = 22. Sum = (9+4)k ≈ 286.

This question belongs to: Maths Ratio and Proportion

Question #151

Share Report

Find the mean proportional between 30 and 36.

A. 35

B. 32

C. 66

D. 64

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Mean proportional = √(30 × 36) = √(1080) = 32.

This question belongs to: Maths Ratio and Proportion

Question #152

Share Report

Two numbers are in the ratio 3:4 and their sum is 120. Find the numbers.

A. 38 and 78

B. 102 and 136

C. 63 and 43

D. 51 and 68

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Numbers = 3k and 4k. 3k + 4k = 120 ⇒ k = 17. Thus, numbers are 51 and 68.

This question belongs to: Maths Ratio and Proportion

Question #153

Share Report

If a:b = 7:10 and b:c = 10:11, then a:b:c = ?

A. 14:20:22

B. 6:10:12

C. 7:11:11

D. 7:10:11

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Combine ratios: a:b = 7:10, b:c = 10:11 ⇒ a:b:c = 7:10:11.

This question belongs to: Maths Ratio and Proportion

Question #154

Share Report

Two numbers are in ratio 9:5. Their difference is 105. What is their sum?

A. 684

B. 287

C. 633

D. 574

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Numbers 9k, 5k. Difference |9-5|k = 105 ⇒ k = 26. Sum = (9+5)k ≈ 574.

This question belongs to: Maths Ratio and Proportion

Question #155

Share Report

Two numbers are in ratio 7:12. Their difference is 133. What is their sum?

A. 507

B. 199

C. 399

D. 434

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Numbers 7k, 12k. Difference |7-12|k = 133 ⇒ k = 26. Sum = (7+12)k ≈ 399.

This question belongs to: Maths Ratio and Proportion

Question #156

Share Report

If a:b = 4:3 and b:c = 3:10, then a:b:c = ?

A. 3:3:11

B. 8:6:20

C. 4:3:10

D. 4:4:10

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Combine ratios: a:b = 4:3, b:c = 3:10 ⇒ a:b:c = 4:3:10.

This question belongs to: Maths Ratio and Proportion

Question #157

Share Report

If a:b = 8:7 and b:c = 7:6, then a:b:c = ?

A. 8:8:6

B. 7:7:7

C. 16:14:12

D. 8:7:6

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Combine ratios: a:b = 8:7, b:c = 7:6 ⇒ a:b:c = 8:7:6.

This question belongs to: Maths Ratio and Proportion

Question #158

Share Report

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

A. 16:16:10

B. 8:9:5

C. 8:8:5

D. 7:8:6

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

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

This question belongs to: Maths Ratio and Proportion

Question #159

Share Report

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

A. 5:10:10

B. 10:20:20

C. 5:11:10

D. 4:10:11

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

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

This question belongs to: Maths Ratio and Proportion

Question #160

Share Report

Milk and water are in ratio 5:3 in a 366 L mixture. Quantity of milk?

A. 138 L

B. 270 L

C. 228 L

D. 456 L

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Total parts = 8. Milk = [5 / (5+3)] × 366 = 228 L.

This question belongs to: Maths Ratio and Proportion

Ratio and Proportion MCQs

Practice Questions

More Maths Topics