Q1. A father is 3 times as old as his son. If the son is 10 years old, what will the father's age be after 7 years?
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Answer: A. 37 years
Father's present age = 3 × 10 = 30. After 7 years: 37 years.
Problems on Ages Questions for SSC CGL (with Answers)
38 Problems on Ages MCQs from the Quantitative Aptitude section, with answers and short explanations.
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Q2. A father is 2 times as old as his son. If the son is 9 years old, what will the father's age be after 6 years?
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Answer: A. 24 years
Father's present age = 2 × 9 = 18. After 6 years: 24 years.
Q3. A father is 2 times as old as his son. If the son is 12 years old, what will the father's age be after 8 years?
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Answer: C. 32 years
Father's present age = 2 × 12 = 24. After 8 years: 32 years.
Q4. A father is 3 times as old as his son. If the son is 14 years old, what will the father's age be after 2 years?
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Answer: D. 44 years
Father's present age = 3 × 14 = 42. After 2 years: 44 years.
Q5. A father is 3 times as old as his son. If the son is 13 years old, what will the father's age be after 10 years?
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Answer: C. 49 years
Father's present age = 3 × 13 = 39. After 10 years: 49 years.
Q6. A father is 2 times as old as his son. If the son is 13 years old, what will the father's age be after 9 years?
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Answer: B. 35 years
Father's present age = 2 × 13 = 26. After 9 years: 35 years.
Q7. A father is 2 times as old as his son. If the son is 11 years old, what will the father's age be after 8 years?
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Answer: C. 30 years
Father's present age = 2 × 11 = 22. After 8 years: 30 years.
Q8. A father is 4 times as old as his son. If the son is 17 years old, what will the father's age be after 2 years?
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Answer: D. 70 years
Father's present age = 4 × 17 = 68. After 2 years: 70 years.
Q9. A father is 4 times as old as his son. If the son is 14 years old, what will the father's age be after 8 years?
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Answer: B. 64 years
Father's present age = 4 × 14 = 56. After 8 years: 64 years.
Q10. A father is 4 times as old as his son. If the son is 18 years old, what will the father's age be after 3 years?
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Answer: C. 75 years
Father's present age = 4 × 18 = 72. After 3 years: 75 years.
Q11. A father is 2 times as old as his son. If the son is 11 years old, what will the father's age be after 6 years?
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Answer: B. 28 years
Father's present age = 2 × 11 = 22. After 6 years: 28 years.
Q12. A father is 3 times as old as his son. If the son is 20 years old, what will the father's age be after 4 years?
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Answer: B. 64 years
Father's present age = 3 × 20 = 60. After 4 years: 64 years.
Q13. A father's age is 3 times his son's age. After 14 years, the father will be 2 times as old as his son. What is the son's present age?
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Answer: D. 14 years
3x + 14 = 2x + 28 ⇒ x = 14 ⇒ x = 14 years.
Q14. A father's age is 3 times his son's age. After 11 years, the father will be 2 times as old as his son. What is the son's present age?
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Answer: A. 11 years
3x + 11 = 2x + 22 ⇒ x = 11 ⇒ x = 11 years.
Q15. A father's age is 4 times his son's age. After 10 years, the father will be 3 times as old as his son. What is the son's present age?
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Answer: B. 20 years
4x + 10 = 3x + 30 ⇒ x = 20 ⇒ x = 20 years.
Q16. A father's age is 4 times his son's age. After 4 years, the father will be 3 times as old as his son. What is the son's present age?
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Answer: B. 8 years
4x + 4 = 3x + 12 ⇒ x = 8 ⇒ x = 8 years.
Q17. A father's age is 5 times his son's age. After 15 years, the father will be 3 times as old as his son. What is the son's present age?
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Answer: C. 15 years
5x + 15 = 3x + 45 ⇒ 2x = 30 ⇒ x = 15 years.
Q18. A father is 3 times as old as his son. If the son is 19 years old, what will the father's age be after 4 years?
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Answer: A. 61 years
Father's present age = 3 × 19 = 57. After 4 years: 61 years.
Q19. The present ages of A and B are in the ratio 2:3. After 5 years, their ages will be in the ratio 11:14. What is A's present age?
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Answer: D. 6 years
14(2x + 5) = 11(3x + 5) ⇒ x = 3. A's age = 2 × 3 = 6 years.
Q20. The present ages of A and B are in the ratio 2:3. After 4 years, their ages will be in the ratio 3:4. What is A's present age?
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Answer: C. 8 years
4(2x + 4) = 3(3x + 4) ⇒ x = 4. A's age = 2 × 4 = 8 years.
Q21. The present ages of A and B are in the ratio 2:9. After 12 years, their ages will be in the ratio 6:13. What is A's present age?
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Answer: B. 6 years
13(2x + 12) = 6(9x + 12) ⇒ x = 3. A's age = 2 × 3 = 6 years.
Q22. The present ages of A and B are in the ratio 3:7. After 8 years, their ages will be in the ratio 7:11. What is A's present age?
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Answer: B. 6 years
11(3x + 8) = 7(7x + 8) ⇒ x = 2. A's age = 3 × 2 = 6 years.
Q23. A father's age is 5 times his son's age. After 13 years, the father will be 3 times as old as his son. What is the son's present age?
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Answer: B. 13 years
5x + 13 = 3x + 39 ⇒ 2x = 26 ⇒ x = 13 years.
Q24. The present ages of A and B are in the ratio 2:5. After 4 years, their ages will be in the ratio 6:13. What is A's present age?
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Answer: D. 14 years
13(2x + 4) = 6(5x + 4) ⇒ x = 7. A's age = 2 × 7 = 14 years.
Q25. The present ages of A and B are in the ratio 2:5. After 9 years, their ages will be in the ratio 5:8. What is A's present age?
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Answer: C. 6 years
8(2x + 9) = 5(5x + 9) ⇒ x = 3. A's age = 2 × 3 = 6 years.
Q26. A father's age is 4 times his son's age. After 9 years, the father will be 3 times as old as his son. What is the son's present age?
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Answer: C. 18 years
4x + 9 = 3x + 27 ⇒ x = 18 ⇒ x = 18 years.
Q27. A father's age is 4 times his son's age. After 5 years, the father will be 3 times as old as his son. What is the son's present age?
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Answer: B. 10 years
4x + 5 = 3x + 15 ⇒ x = 10 ⇒ x = 10 years.
Q28. A father is 2 times as old as his son. If the son is 12 years old, what will the father's age be after 9 years?
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Answer: A. 33 years
Father's present age = 2 × 12 = 24. After 9 years: 33 years.
Q29. A father is 4 times as old as his son. If the son is 5 years old, what will the father's age be after 5 years?
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Answer: D. 25 years
Father's present age = 4 × 5 = 20. After 5 years: 25 years.
Q30. A father is 3 times as old as his son. If the son is 12 years old, what will the father's age be after 10 years?
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Answer: D. 46 years
Father's present age = 3 × 12 = 36. After 10 years: 46 years.
Q31. A father's age is 5 times his son's age. After 9 years, the father will be 3 times as old as his son. What is the son's present age?
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Answer: D. 9 years
5x + 9 = 3x + 27 ⇒ 2x = 18 ⇒ x = 9 years.
Q32. The present ages of A and B are in the ratio 2:7. After 6 years, their ages will be in the ratio 1:2. What is A's present age?
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Answer: A. 4 years
2(2x + 6) = 1(7x + 6) ⇒ x = 2. A's age = 2 × 2 = 4 years.
Q33. A father is 2 times as old as his son. If the son is 20 years old, what will the father's age be after 2 years?
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Answer: C. 42 years
Father's present age = 2 × 20 = 40. After 2 years: 42 years.
Q34. The present ages of A and B are in the ratio 5:6. After 9 years, their ages will be in the ratio 13:15. What is A's present age?
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Answer: D. 30 years
15(5x + 9) = 13(6x + 9) ⇒ x = 6. A's age = 5 × 6 = 30 years.
Q35. The present ages of A and B are in the ratio 4:7. After 4 years, their ages will be in the ratio 2:3. What is A's present age?
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Answer: C. 8 years
3(4x + 4) = 2(7x + 4) ⇒ x = 2. A's age = 4 × 2 = 8 years.
Q36. A father's age is 5 times his son's age. After 3 years, the father will be 4 times as old as his son. What is the son's present age?
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Answer: B. 9 years
5x + 3 = 4x + 12 ⇒ x = 9 ⇒ x = 9 years.
Q37. The present ages of A and B are in the ratio 7:8. After 2 years, their ages will be in the ratio 8:9. What is A's present age?
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Answer: A. 14 years
9(7x + 2) = 8(8x + 2) ⇒ x = 2. A's age = 7 × 2 = 14 years.
Q38. The present ages of A and B are in the ratio 2:9. After 12 years, their ages will be in the ratio 8:15. What is A's present age?
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Answer: C. 4 years
15(2x + 12) = 8(9x + 12) ⇒ x = 2. A's age = 2 × 2 = 4 years.
More Quantitative Aptitude topics
- Speed, Time and Distance 69
- Percentage 58
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- Profit and Loss 49
- Number System 47
- Mensuration 46
- Simple Interest 43
- Time and Work 41
- LCM and HCF 39
- Ratio and Proportion 38
- Compound Interest 36
- Algebra 33
- Simplification 32
- Geometry 29
- Discount 24
- Partnership 17
- Boats and Streams 16
- Mixture and Alligation 13
- Indices and Surds 10
- Trigonometry 10
- Statistics 9
- Pipes and Cisterns 7