Ratio and Proportion MCQs with Answers and Explanations for Competitive Exams

Question #401

Share Report

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

A. 50 years

B. 90 years

C. 45 years

D. 39 years

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Let ages 5k and 5k. Then (5k + 5)/(5k + 5) = 6/7. Solving gives k ≈ 9, age of A = 5*9 = 45.

This question belongs to: Maths Ratio and Proportion

Question #402

Share Report

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

A. 4:6:12

B. 10:12:22

C. 5:7:11

D. 5:6:11

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

Question #403

Share Report

Two numbers are in ratio 9:7. Their difference is 120. What is their sum?

A. 400

B. 489

C. 445

D. 200

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Numbers 9k, 7k. Difference |9-7|k = 120 ⇒ k = 60. Sum = (9+7)k ≈ 400.

This question belongs to: Maths Ratio and Proportion

Question #404

Share Report

Ratio of present ages of A and B is 4:8. After 6 years, the ratio becomes 7:11. Present age of A is?

A. 97 years

B. 92 years

C. 87 years

D. 184 years

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Let ages 4k and 8k. Then (4k + 6)/(8k + 6) = 7/11. Solving gives k ≈ 23, age of A = 4*23 = 92.

This question belongs to: Maths Ratio and Proportion

Question #405

Share Report

Ratio of present ages of A and B is 7:8. After 8 years, the ratio becomes 9:9. Present age of A is?

A. 145 years

B. 140 years

C. 280 years

D. 135 years

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Let ages 7k and 8k. Then (7k + 8)/(8k + 8) = 9/9. Solving gives k ≈ 20, age of A = 7*20 = 140.

This question belongs to: Maths Ratio and Proportion

Question #406

Share Report

Two numbers are in the ratio 12:15 and their sum is 313. Find the numbers.

A. 264 and 330

B. 117 and 176

C. 156 and 136

D. 132 and 165

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Numbers = 12k and 15k. 12k + 15k = 313 ⇒ k = 11. Thus, numbers are 132 and 165.

This question belongs to: Maths Ratio and Proportion

Question #407

Share Report

Two numbers are in the ratio 10:5 and their sum is 127. Find the numbers.

A. 80 and 40

B. 160 and 80

C. 92 and 20

D. 61 and 55

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Numbers = 10k and 5k. 10k + 5k = 127 ⇒ k = 8. Thus, numbers are 80 and 40.

This question belongs to: Maths Ratio and Proportion

Question #408

Share Report

Find the mean proportional between 16 and 39.

A. 24

B. 55

C. 27

D. 48

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Mean proportional = √(16 × 39) = √(624) = 24.

This question belongs to: Maths Ratio and Proportion

Question #409

Share Report

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

A. 36 years

B. 47 years

C. 42 years

D. 84 years

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Let ages 3k and 5k. Then (3k + 5)/(5k + 5) = 5/6. Solving gives k ≈ 14, age of A = 3*14 = 42.

This question belongs to: Maths Ratio and Proportion

Question #410

Share Report

If a:b = 8:7 and b:c = 7:4, then a:b:c = ?

A. 7:7:5

B. 8:8:4

C. 8:7:4

D. 16:14:8

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Combine ratios: a:b = 8:7, b:c = 7:4 ⇒ a:b:c = 8:7:4.

This question belongs to: Maths Ratio and Proportion

Question #411

Share Report

If a:b = 7:10 and b:c = 10:9, then a:b:c = ?

A. 7:11:9

B. 7:10:9

C. 14:20:18

D. 6:10:10

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Combine ratios: a:b = 7:10, b:c = 10:9 ⇒ a:b:c = 7:10:9.

This question belongs to: Maths Ratio and Proportion

Question #412

Share Report

If a:b = 2:8 and b:c = 8:11, then a:b:c = ?

A. 4:16:22

B. 1:8:12

C. 2:9:11

D. 2:8:11

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Combine ratios: a:b = 2:8, b:c = 8:11 ⇒ a:b:c = 2:8:11.

This question belongs to: Maths Ratio and Proportion

Question #413

Share Report

Milk and water are in ratio 8:2 in a 253 L mixture. Quantity of milk?

A. 202 L

B. 51 L

C. 404 L

D. 245 L

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Total parts = 10. Milk = [8 / (8+2)] × 253 = 202 L.

This question belongs to: Maths Ratio and Proportion

Question #414

Share Report

Milk and water are in ratio 3:5 in a 587 L mixture. Quantity of milk?

A. 440 L

B. 248 L

C. 367 L

D. 220 L

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Total parts = 8. Milk = [3 / (3+5)] × 587 = 220 L.

This question belongs to: Maths Ratio and Proportion

Question #415

Share Report

Two numbers are in the ratio 11:15 and their sum is 450. Find the numbers.

A. 374 and 510

B. 214 and 229

C. 181 and 267

D. 187 and 255

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Numbers = 11k and 15k. 11k + 15k = 450 ⇒ k = 17. Thus, numbers are 187 and 255.

This question belongs to: Maths Ratio and Proportion

Question #416

Share Report

Two numbers are in ratio 8:12. Their difference is 61. What is their sum?

A. 357

B. 320

C. 160

D. 452

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Numbers 8k, 12k. Difference |8-12|k = 61 ⇒ k = 15. Sum = (8+12)k ≈ 320.

This question belongs to: Maths Ratio and Proportion

Question #417

Share Report

Find the mean proportional between 22 and 16.

A. 38

B. 36

C. 18

D. 21

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Mean proportional = √(22 × 16) = √(352) = 18.

This question belongs to: Maths Ratio and Proportion

Question #418

Share Report

Milk and water are in ratio 4:5 in a 371 L mixture. Quantity of milk?

A. 214 L

B. 207 L

C. 164 L

D. 328 L

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Total parts = 9. Milk = [4 / (4+5)] × 371 = 164 L.

This question belongs to: Maths Ratio and Proportion

Question #419

Share Report

Milk and water are in ratio 9:4 in a 207 L mixture. Quantity of milk?

A. 64 L

B. 176 L

C. 286 L

D. 143 L

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Total parts = 13. Milk = [9 / (9+4)] × 207 = 143 L.

This question belongs to: Maths Ratio and Proportion

Question #420

Share Report

Two numbers are in ratio 7:12. Their difference is 101. What is their sum?

A. 152

B. 334

C. 423

D. 304

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Numbers 7k, 12k. Difference |7-12|k = 101 ⇒ k = 20. Sum = (7+12)k ≈ 304.

This question belongs to: Maths Ratio and Proportion

Ratio and Proportion MCQs

Practice Questions

More Maths Topics