Ratio and Proportion MCQs

Maths

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.

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Practice Questions

Page 13 of 23
Question #241
Two numbers are in ratio 9:4. Their difference is 40. What is their sum?
A. 286
B. 572
C. 601
D. 714
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Correct Answer: Option B

Explanation:
Numbers 9k, 4k. Difference |9-4|k = 40 ⇒ k = 8. Sum = (9+4)k ≈ 572.
This question belongs to: Maths Ratio and Proportion
Question #242
Two numbers are in the ratio 13:10 and their sum is 746. Find the numbers.
A. 832 and 640
B. 403 and 338
C. 416 and 320
D. 434 and 298
Discuss
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Correct Answer: Option C

Explanation:
Numbers = 13k and 10k. 13k + 10k = 746 ⇒ k = 32. Thus, numbers are 416 and 320.
This question belongs to: Maths Ratio and Proportion
Question #243
Milk and water are in ratio 4:2 in a 445 L mixture. Quantity of milk?
A. 149 L
B. 296 L
C. 346 L
D. 592 L
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Correct Answer: Option B

Explanation:
Total parts = 6. Milk = [4 / (4+2)] × 445 = 296 L.
This question belongs to: Maths Ratio and Proportion
Question #244
Ratio of present ages of A and B is 3:8. After 12 years, the ratio becomes 4:11. Present age of A is?
A. 65 years
B. 69 years
C. 74 years
D. 138 years
Discuss
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Correct Answer: Option B

Explanation:
Let ages 3k and 8k. Then (3k + 12)/(8k + 12) = 4/11. Solving gives k ≈ 23, age of A = 3*23 = 69.
This question belongs to: Maths Ratio and Proportion
Question #245
Two numbers are in the ratio 11:5 and their sum is 789. Find the numbers.
A. 566 and 224
B. 539 and 245
C. 1078 and 490
D. 524 and 251
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Correct Answer: Option B

Explanation:
Numbers = 11k and 5k. 11k + 5k = 789 ⇒ k = 49. Thus, numbers are 539 and 245.
This question belongs to: Maths Ratio and Proportion
Question #246
Two numbers are in ratio 6:9. Their difference is 102. What is their sum?
A. 303
B. 341
C. 255
D. 127
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Correct Answer: Option C

Explanation:
Numbers 6k, 9k. Difference |6-9|k = 102 ⇒ k = 34. Sum = (6+9)k ≈ 255.
This question belongs to: Maths Ratio and Proportion
Question #247
Find the mean proportional between 14 and 40.
A. 23
B. 54
C. 26
D. 46
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Correct Answer: Option A

Explanation:
Mean proportional = √(14 × 40) = √(560) = 23.
This question belongs to: Maths Ratio and Proportion
Question #248
Two numbers are in ratio 7:12. Their difference is 120. What is their sum?
A. 658
B. 551
C. 593
D. 275
Discuss
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Correct Answer: Option B

Explanation:
Numbers 7k, 12k. Difference |7-12|k = 120 ⇒ k = 24. Sum = (7+12)k ≈ 551.
This question belongs to: Maths Ratio and Proportion
Question #249
Ratio of present ages of A and B is 4:4. After 6 years, the ratio becomes 7:7. Present age of A is?
A. 100 years
B. 96 years
C. 105 years
D. 200 years
Discuss
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Correct Answer: Option A

Explanation:
Let ages 4k and 4k. Then (4k + 6)/(4k + 6) = 7/7. Solving gives k ≈ 25, age of A = 4*25 = 100.
This question belongs to: Maths Ratio and Proportion
Question #250
Find the mean proportional between 28 and 49.
A. 74
B. 40
C. 37
D. 77
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Correct Answer: Option C

Explanation:
Mean proportional = √(28 × 49) = √(1372) = 37.
This question belongs to: Maths Ratio and Proportion
Question #251
Two numbers are in the ratio 14:9 and their sum is 497. Find the numbers.
A. 588 and 378
B. 294 and 189
C. 286 and 198
D. 307 and 170
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Correct Answer: Option B

Explanation:
Numbers = 14k and 9k. 14k + 9k = 497 ⇒ k = 21. Thus, numbers are 294 and 189.
This question belongs to: Maths Ratio and Proportion
Question #252
Two numbers are in the ratio 4:3 and their sum is 631. Find the numbers.
A. 347 and 287
B. 720 and 540
C. 380 and 258
D. 360 and 270
Discuss
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Correct Answer: Option D

Explanation:
Numbers = 4k and 3k. 4k + 3k = 631 ⇒ k = 90. Thus, numbers are 360 and 270.
This question belongs to: Maths Ratio and Proportion
Question #253
If a:b = 6:9 and b:c = 9:6, then a:b:c = ?
A. 5:9:7
B. 6:9:6
C. 6:10:6
D. 12:18:12
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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 6:9, b:c = 9:6 ⇒ a:b:c = 6:9:6.
This question belongs to: Maths Ratio and Proportion
Question #254
Find the mean proportional between 14 and 77.
A. 91
B. 35
C. 64
D. 32
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Correct Answer: Option D

Explanation:
Mean proportional = √(14 × 77) = √(1078) = 32.
This question belongs to: Maths Ratio and Proportion
Question #255
If a:b = 2:7 and b:c = 7:9, then a:b:c = ?
A. 1:7:10
B. 2:8:9
C. 4:14:18
D. 2:7:9
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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 2:7, b:c = 7:9 ⇒ a:b:c = 2:7:9.
This question belongs to: Maths Ratio and Proportion
Question #256
Two numbers are in the ratio 12:8 and their sum is 523. Find the numbers.
A. 333 and 191
B. 312 and 208
C. 294 and 220
D. 624 and 416
Discuss
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Correct Answer: Option B

Explanation:
Numbers = 12k and 8k. 12k + 8k = 523 ⇒ k = 26. Thus, numbers are 312 and 208.
This question belongs to: Maths Ratio and Proportion
Question #257
Find the mean proportional between 16 and 72.
A. 33
B. 36
C. 66
D. 88
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Correct Answer: Option A

Explanation:
Mean proportional = √(16 × 72) = √(1152) = 33.
This question belongs to: Maths Ratio and Proportion
Question #258
If a:b = 4:4 and b:c = 4:8, then a:b:c = ?
A. 4:4:8
B. 4:5:8
C. 3:4:9
D. 8:8:16
Discuss
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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 4:4, b:c = 4:8 ⇒ a:b:c = 4:4:8.
This question belongs to: Maths Ratio and Proportion
Question #259
Ratio of present ages of A and B is 5:7. After 6 years, the ratio becomes 6:10. Present age of A is?
A. 125 years
B. 130 years
C. 250 years
D. 121 years
Discuss
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Correct Answer: Option A

Explanation:
Let ages 5k and 7k. Then (5k + 6)/(7k + 6) = 6/10. Solving gives k ≈ 25, age of A = 5*25 = 125.
This question belongs to: Maths Ratio and Proportion
Question #260
Two numbers are in the ratio 13:4 and their sum is 771. Find the numbers.
A. 609 and 170
B. 585 and 180
C. 578 and 197
D. 1170 and 360
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Correct Answer: Option B

Explanation:
Numbers = 13k and 4k. 13k + 4k = 771 ⇒ k = 45. Thus, numbers are 585 and 180.
This question belongs to: Maths Ratio and Proportion

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