Ratio and Proportion MCQs

Practice Ratio and Proportion MCQs with answers and detailed explanations. Learn ratio comparison, proportion concepts, direct proportion, inverse proportion, partnership, sharing, ages and quantitative aptitude problems through multiple choice questions designed for SSC, Railway, Banking, UPSC, JKSSB, Police, Teaching and other competitive exams.

446 Total
Question #1 Report Error
Milk and water are in ratio 5:7 in a 476 L mixture. Quantity of milk?
A. 230 L
B. 198 L
C. 396 L
D. 278 L

Correct Answer: Option B


Explanation:
Total parts = 12. Milk = [5 / (5+7)] × 476 = 198 L.

This question belongs to: Maths Ratio and Proportion
Question #2 Report Error
If a:b = 3:3 and b:c = 3:10, then a:b:c = ?
A. 6:6:20
B. 3:4:10
C. 3:3:10
D. 2:3:11

Correct Answer: Option C


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

This question belongs to: Maths Ratio and Proportion
Question #3 Report Error
If a:b = 8:9 and b:c = 9:8, then a:b:c = ?
A. 8:10:8
B. 16:18:16
C. 8:9:8
D. 7:9:9

Correct Answer: Option C


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

This question belongs to: Maths Ratio and Proportion
Question #4 Report Error
Two numbers are in the ratio 7:8 and their sum is 572. Find the numbers.
A. 296 and 283
B. 246 and 324
C. 532 and 608
D. 266 and 304

Correct Answer: Option D


Explanation:
Numbers = 7k and 8k. 7k + 8k = 572 ⇒ k = 38. Thus, numbers are 266 and 304.

This question belongs to: Maths Ratio and Proportion
Question #5 Report Error
If a:b = 4:5 and b:c = 5:6, then a:b:c = ?
A. 8:10:12
B. 3:5:7
C. 4:5:6
D. 4:6:6

Correct Answer: Option C


Explanation:
Combine ratios: a:b = 4:5, b:c = 5:6 ⇒ a:b:c = 4:5:6.

This question belongs to: Maths Ratio and Proportion
Question #6 Report Error
If a:b = 4:9 and b:c = 9:10, then a:b:c = ?
A. 4:10:10
B. 3:9:11
C. 4:9:10
D. 8:18:20

Correct Answer: Option C


Explanation:
Combine ratios: a:b = 4:9, b:c = 9:10 ⇒ a:b:c = 4:9:10.

This question belongs to: Maths Ratio and Proportion
Question #7 Report Error
Two numbers are in the ratio 8:6 and their sum is 434. Find the numbers.
A. 248 and 186
B. 496 and 372
C. 230 and 206
D. 262 and 167

Correct Answer: Option A


Explanation:
Numbers = 8k and 6k. 8k + 6k = 434 ⇒ k = 31. Thus, numbers are 248 and 186.

This question belongs to: Maths Ratio and Proportion
Question #8 Report Error
If a:b = 7:3 and b:c = 3:8, then a:b:c = ?
A. 14:6:16
B. 7:3:8
C. 6:3:9
D. 7:4:8

Correct Answer: Option B


Explanation:
Combine ratios: a:b = 7:3, b:c = 3:8 ⇒ a:b:c = 7:3:8.

This question belongs to: Maths Ratio and Proportion
Question #9 Report Error
Two numbers are in the ratio 5:3 and their sum is 590. Find the numbers.
A. 348 and 236
B. 365 and 219
C. 389 and 195
D. 730 and 438

Correct Answer: Option B


Explanation:
Numbers = 5k and 3k. 5k + 3k = 590 ⇒ k = 73. Thus, numbers are 365 and 219.

This question belongs to: Maths Ratio and Proportion
Question #10 Report Error
Milk and water are in ratio 3:4 in a 437 L mixture. Quantity of milk?
A. 250 L
B. 187 L
C. 211 L
D. 374 L

Correct Answer: Option B


Explanation:
Total parts = 7. Milk = [3 / (3+4)] × 437 = 187 L.

This question belongs to: Maths Ratio and Proportion