Quantitative Aptitude

Problems on Ages

1,744 Questions
All Translate multiples, fractions, and percentages 518 Use two ratios from different dates 500 Convert an age ratio into actual ages 258 Handle averages and changing groups 167 Generational age chains 111 Recognize equal age gaps 101 Product of ages 68 Ages in arithmetic progression 11 Division of lifespan 9

Problems on Ages Questions

Multiple choice

Kamal's present age is three years less than twice his age 12 years ago. Also, the ratio of Kamlesh's present age to Kamal's present age is 4:9. What will be Kamlesh's age after 4 years?

  1. 16 years

  2. 17 years

  3. 18 years

  4. Can not be determined

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let Kamal's present age = K. Then K = 2(K-12) - 3, giving K = 2K - 24 - 3, so K = 27. Kamlesh:Kamal = 4:9, so Kamlesh = (4/9)×27 = 12. After 4 years: 12+4 = 16 years.

Multiple choice

A is 30 years younger to his uncle at present. Five years ago , A's age is one- fourth of his uncle age's .Find A’s uncle's age after 5 years ?

  1. 60 years

  2. 45 years

  3. 50 years

  4. 65 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let A's present age be x and uncle's age be x+30. Five years ago: A was x-5, uncle was x+25. Given that (x-5) = (x+25)/4, solving gives x=15 (A's age) and uncle's age = 45. After 5 years, uncle will be 50. The key is setting up the age difference equation correctly and remembering that the age difference remains constant over time.

Multiple choice

The age of father is four times that of the younger son. Five years hence the age of the father will be twice that of the elder son. If the difference of ages of the two sons is 10 years, the age of father is-

  1. 60 years

  2. 50 years

  3. 55 years

  4. 65 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let father's age = F, younger son = Y, elder son = E. Given: F=4Y, (F+5)=2(E+5), E-Y=10. Solving: From F=4Y, substituting: 4Y+5=2E+10, 4Y-5=2E. Since E=Y+10: 4Y-5=2(Y+10), 4Y-5=2Y+20, 2Y=25, Y=12.5, F=50. The answer is 50 years.

Multiple choice

5 years ago the ratio between age of Mukesh and Suresh is 13:17. Find the present age of Mukesh if the sum of ages of Suresh and Mohan is 60 years.

  1. 31 years

  2. 43 years

  3. 36 years

  4. 30 years

  5. data inadequate
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

The ratio 13:17 gives Mukesh = 13x and Suresh = 17x five years ago. However, we have no information about Mohan's age or any relationship between Suresh and Mohan. The problem cannot be solved with the given information.

Multiple choice

A year ago, Rahul was four times his son's age. In six years, his age will be 9 more than twice his son's age. What is the present age of the son?

  1. 20 years

  2. 9 years

  3. 10 years

  4. 12 years

  5. 8 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let present ages be Rahul (R) and son (S). One year ago: R-1 = 4(S-1). In 6 years: R+6 = 2(S+6) + 9. Solving these equations: From first, R = 4S - 3. Substituting in second: 4S - 3 + 6 = 2S + 12 + 9, giving 2S = 18, so S = 9 years.

Multiple choice

The age of puneet and Rakhi are in the ratio of 15 : 17 respectively. After 6 years, the ratio between the ages of Puneet and Rakhi will be 9 : 10. What will be the age of Puneet after 6 years ?

  1. 40 years

  2. 36 years

  3. 35 years

  4. 45 years

  5. 28 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Puneet's age = 15x, Rakhi's age = 17x. After 6 years: (15x + 6)/(17x + 6) = 9/10. Cross-multiplying: 10(15x + 6) = 9(17x + 6), giving 150x + 60 = 153x + 54, so 3x = 6, x = 2. Puneet's current age = 15 × 2 = 30 years. After 6 years, Puneet = 30 + 6 = 36 years.

Multiple choice

Two years ago a man was six times as old as his own son. In 18 years he will be twice as old as his son. What is the present age of the son?

  1. 7

  2. 9

  3. 11

  4. 13
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the present ages be: son = x years, man = y years. Two years ago: (y-2) = 6(x-2). In 18 years: (y+18) = 2(x+18). From first equation: y-2 = 6x-12, so y = 6x-10. Substitute into second: 6x-10+18 = 2x+36, so 6x+8 = 2x+36, 4x = 28, x = 7. The son's present age is 7 years. Option A is correct.

Multiple choice

A father's age was five times his son's age five years ago and will be three times the son's age after two years . The ratio of the present age of his father to that of the son is : 5 वर्ष पहले एक पिता अपने पुत्र का 5 गुना है और वह दो वर्ष बाद अपने पुत्र का तीन गुना हो जाता है तो पिता और पुत्र कि आयु का अनुपात क्या है ?

  1. 33 : 5

  2. 11 : 5

  3. 3 : 1

  4. 10 : 3
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let father's present age be F and son's present age be S. Five years ago: F - 5 = 5(S - 5), so F = 5S - 20. After two years: F + 2 = 3(S + 2). Substituting: 5S - 18 = 3S + 6, giving S = 12 and F = 40. Ratio F:S = 40:12 = 10:3. Option A (33:5) is a common miscalculation from incorrect equation setup.

Multiple choice

7 years ago , the ages ( in years ) of A and B were in the ratio 4 : 5 and 7 years hence they will be in the ratio 5 : 6 . The present age of B is : 7 वर्ष पहले A और B की आयु का अनुपात 4 : 5 था . और 7 वर्ष बाद उनकी आयु का अनुपात 5 : 6 हो जाता है तो B की वर्तमान आयु क्या है ?

  1. 56 years / वर्ष

  2. 63 years / वर्ष

  3. 70 years / वर्ष

  4. 77 years / वर्ष
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let present ages be A and B. 7 years ago: (A-7)/(B-7) = 4/5, so 5A-35 = 4B-28, or 5A-4B = 7. 7 years hence: (A+7)/(B+7) = 5/6, so 6A+42 = 5B+35, or 6A-5B = -7. Solving these equations: from first, A = (4B+7)/5. Substituting in second: 6(4B+7)/5 - 5B = -7. This gives B = 77 years.

Multiple choice

The average age of a man and his daughter is 46 years. The ratio of their ages is (15:8) respectively. What will be the respective ratio of their ages after 8 years?

  1. 8:5

  2. 10:17

  3. 17:10

  4. 5:8
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let ages be 15x and 8x. Average is 46, so sum = 92. Thus 23x = 92, giving x = 4. Current ages: man = 60 years, daughter = 32 years. After 8 years: man = 68, daughter = 40. Ratio = 68:40 = 17:10. The key insight is to find the multiplier x from the average, then add 8 to both ages before simplifying the ratio.

Multiple choice

Father’s age is 1 more than five times the son’s age. After 3 years, father’s age will be 2 less than four times the son’s age. What is father’s present age? पिता की आयु अपने पुत्र की आयु के 5 गुना से 1 अधिक है। 3 वर्ष बाद पिता की आयु पुत्र की आयु के 4 गुना से 2 कम होगी। पिता की वर्तमान आयु क्या है?

  1. 31 years / वर्ष

  2. 35 years / वर्ष

  3. 33 years / वर्ष

  4. 37 years / वर्ष
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let son's age = s, father's age = f. f = 5s + 1. After 3 years: f+3 = 4(s+3) - 2 = 4s + 10. Substituting f: 5s+1+3 = 4s+10, so s = 6. Father's age = 5(6)+1 = 31. Verification: Now 31 = 5(6)+1 ✓, after 3 years: 34 = 4(9)-2 = 34 ✓. Other ages don't satisfy both conditions.

Multiple choice

Five years ago, the average age of Prakash and Ajay is 15 years. The average age of Prakash, Ajay and Ramesh in present is 30 years. What will be age of Ramesh after 10 years?

  1. 60 years

  2. 40 years

  3. 30 years

  4. 50 years

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Five years ago, average age of Prakash and Ajay was 15, so their total age was 30. Currently, their total age is 30+10 = 40 (adding 5 years each). Present average of Prakash, Ajay, and Ramesh is 30, so their total age is 90. Therefore, Ramesh's present age = 90-40 = 50. After 10 years, Ramesh's age = 50+10 = 60 years.