Q1. ₹195 is divided between A and B in the ratio 5:8. What is A's share (in ₹)?
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Answer: A. 75
One part = 195/13 = 15. A's share = 5 × 15 = ₹75.
Ratio and Proportion Questions for SSC CGL (with Answers)
38 Ratio and Proportion MCQs from the Quantitative Aptitude section, with answers and short explanations.
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Q2. ₹125 is divided between A and B in the ratio 2:3. What is A's share (in ₹)?
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Answer: A. 50
One part = 125/5 = 25. A's share = 2 × 25 = ₹50.
Q3. ₹238 is divided between A and B in the ratio 2:5. What is A's share (in ₹)?
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Answer: C. 68
A's share = 238 × 2/7 = ₹68.
Q4. ₹225 is divided between A and B in the ratio 2:3. What is A's share (in ₹)?
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Answer: B. 90
A's share = 225 × 2/5 = ₹90.
Q5. ₹624 is divided between A and B in the ratio 5:7. What is A's share (in ₹)?
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Answer: C. 260
A's share = 624 × 5/12 = ₹260.
Q6. ₹250 is divided between A and B in the ratio 2:3. What is A's share (in ₹)?
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Answer: A. 100
A's share = 250 × 2/5 = ₹100.
Q7. ₹110 is divided between A and B in the ratio 3:7. What is A's share (in ₹)?
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Answer: A. 33
A's share = 110 × 3/10 = ₹33.
Q8. ₹261 is divided between A and B in the ratio 4:5. What is A's share (in ₹)?
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Answer: B. 116
A's share = 261 × 4/9 = ₹116.
Q9. ₹63 is divided between A and B in the ratio 2:5. What is A's share (in ₹)?
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Answer: A. 18
A's share = 63 × 2/7 = ₹18.
Q10. ₹180 is divided between A and B in the ratio 3:7. What is A's share (in ₹)?
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Answer: A. 54
A's share = 180 × 3/10 = ₹54.
Q11. ₹160 is divided between A and B in the ratio 1:4. What is A's share (in ₹)?
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Answer: B. 32
A's share = 160 × 1/5 = ₹32.
Q12. ₹440 is divided between A and B in the ratio 3:7. What is A's share (in ₹)?
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Answer: C. 132
A's share = 440 × 3/10 = ₹132.
Q13. ₹208 is divided between A and B in the ratio 3:5. What is A's share (in ₹)?
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Answer: B. 78
A's share = 208 × 3/8 = ₹78.
Q14. ₹70 is divided between A and B in the ratio 1:4. What is A's share (in ₹)?
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Answer: D. 14
A's share = 70 × 1/5 = ₹14.
Q15. ₹120 is divided between A and B in the ratio 3:5. What is A's share (in ₹)?
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Answer: A. 45
One part = 120/8 = 15. A's share = 3 × 15 = ₹45.
Q16. ₹240 is divided between A and B in the ratio 7:9. What is A's share (in ₹)?
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Answer: B. 105
One part = 240/16 = 15. A's share = 7 × 15 = ₹105.
Q17. If A:B = 2:5 and B:C = 5:6, find A:B:C.
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Answer: D. 2:5:6
Multiply the first ratio by 5 and the second by 5: A:B:C = 10:25:30 = 2:5:6.
Q18. If A:B = 4:5 and B:C = 7:6, find A:B:C.
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Answer: A. 28:35:30
Multiply the first ratio by 7 and the second by 5: A:B:C = 28:35:30 = 28:35:30.
Q19. If A:B = 7:3 and B:C = 5:2, find A:B:C.
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Answer: D. 35:15:6
Multiply the first ratio by 5 and the second by 3: A:B:C = 35:15:6 = 35:15:6.
Q20. If A:B = 6:7 and B:C = 5:6, find A:B:C.
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Answer: A. 30:35:42
Multiply the first ratio by 5 and the second by 7: A:B:C = 30:35:42 = 30:35:42.
Q21. If A:B = 4:5 and B:C = 2:3, find A:B:C.
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Answer: A. 8:10:15
Multiply the first ratio by 2 and the second by 5: A:B:C = 8:10:15 = 8:10:15.
Q22. If A:B = 4:3 and B:C = 5:3, find A:B:C.
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Answer: B. 20:15:9
Multiply the first ratio by 5 and the second by 3: A:B:C = 20:15:9 = 20:15:9.
Q23. If A:B = 6:5 and B:C = 6:7, find A:B:C.
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Answer: B. 36:30:35
Multiply the first ratio by 6 and the second by 5: A:B:C = 36:30:35 = 36:30:35.
Q24. If A:B = 6:5 and B:C = 4:5, find A:B:C.
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Answer: C. 24:20:25
Multiply the first ratio by 4 and the second by 5: A:B:C = 24:20:25 = 24:20:25.
Q25. If A:B = 3:7 and B:C = 5:6, find A:B:C.
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Answer: D. 15:35:42
Multiply the first ratio by 5 and the second by 7: A:B:C = 15:35:42 = 15:35:42.
Q26. If A:B = 7:6 and B:C = 2:3, find A:B:C.
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Answer: D. 7:6:9
Multiply the first ratio by 2 and the second by 6: A:B:C = 14:12:18 = 7:6:9.
Q27. If A:B = 7:6 and B:C = 7:2, find A:B:C.
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Answer: B. 49:42:12
Multiply the first ratio by 7 and the second by 6: A:B:C = 49:42:12 = 49:42:12.
Q28. ₹132 is divided between A and B in the ratio 5:6. What is A's share (in ₹)?
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Answer: C. 60
One part = 132/11 = 12. A's share = 5 × 12 = ₹60.
Q29. ₹480 is divided between A and B in the ratio 7:9. What is A's share (in ₹)?
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Answer: D. 210
One part = 480/16 = 30. A's share = 7 × 30 = ₹210.
Q30. Find the mean proportional between 32 and 128.
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Answer: A. 16
√(32 × 128) = √4096 = 16.
Q31. Find the mean proportional between 441 and 567.
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Answer: C. 63
√(441 × 567) = √250047 = 63.
Q32. Find the mean proportional between 75 and 45.
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Answer: B. 15
√(75 × 45) = √3375 = 15.
Q33. Find the mean proportional between 320 and 200.
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Answer: A. 40
√(320 × 200) = √64000 = 40.
Q34. Find the mean proportional between 72 and 192.
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Answer: A. 24
√(72 × 192) = √13824 = 24.
Q35. Find the mean proportional between 162 and 36.
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Answer: C. 18
√(162 × 36) = √5832 = 18.
Q36. Find the mean proportional between 567 and 441.
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Answer: C. 63
√(567 × 441) = √250047 = 63.
Q37. Find the mean proportional between 36 and 48.
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Answer: A. 12
√(36 × 48) = √1728 = 12.
Q38. Find the mean proportional between 384 and 288.
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Answer: C. 48
√(384 × 288) = √110592 = 48.
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