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

The ratio of A's age three years ago and B's age five years ago is (4 : 5). If A is 5 years younger than B, find the present age of B (in years).

  1. 20

  2. 15

  3. 25

  4. 30

  5. 35
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let A's present age be a and B's present age be b. Given a = b - 5. Three years ago A was a-3, five years ago B was b-5. Ratio (a-3):(b-5) = 4:5. Substituting a = b - 5: (b-8):(b-5) = 4:5. Cross-multiply: 5(b-8) = 4(b-5), so 5b-40 = 4b-20, giving b = 20. B is 20 years old now.

Multiple choice

Fifteen years hence a man will be four times as old as he was fifteen years ago. What is his present age? एक आदमी अब से 15 वर्ष बाद, अपनी 15 वर्ष पहले की आयु का चार गुना होगा तो उसकी वर्तमान आयु क्या है?

  1. 25 years/वर्ष

  2. 20 years /वर्ष

  3. 30 years /वर्ष

  4. 45 years /वर्ष
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let present age be x. Then x + 15 = 4(x - 15). Solving: x + 15 = 4x - 60, so 3x = 75 and x = 25 years. Check: in 15 years he'll be 40, and 15 years ago he was 10. Indeed, 40 = 4×10.

Multiple choice

The ratio of the present ages of Arun and Gaurav is 3: 2 respectively, and the age of Arun's son is half the age of Gaurav. If after 8 years the ratio of Arun and Gaurav's ages will be 11 : 8 respectively. What will be the present age of Arun's son?

  1. 12

  2. 18

  3. 20

  4. 24

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

Let Arun's present age = 3x, Gaurav's present age = 2x. After 8 years: (3x+8)/(2x+8) = 11/8. Cross-multiplying: 8(3x+8) = 11(2x+8), giving 24x + 64 = 22x + 88, so 2x = 24 and x = 12. Arun's son = half of Gaurav = x = 12. Option A is correct.

Multiple choice

The questions given below contain three statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? What will be the difference between the ages of P and Q after 6 years? I. The ratio between the present ages of P and Q is 3 : 5. II. The ratio between P’s present age and his age after 6 years is 3 : 4 III. The ratio between Q’s present age and his age after six years is 5 : 6

  1. Any two of three

  2. Only I and II

  3. Only I and III

  4. Only II and III

  5. All are necessary
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

To find the difference between ages of P and Q after 6 years, we need their present ages. Statement II gives P's present age: ratio 3:4 means P's age after 6 years is 4/3 times present, so P's present age = 18 years. Statement III gives Q's present age: ratio 5:6 means Q's age after 6 years is 6/5 times present, so Q's present age = 30 years. Difference = 12 years now and 12 years after 6 years. Statement I alone gives the ratio but not actual ages. I and II together give only P's age, I and III together give only Q's age. Only II and III together give both ages.

Multiple choice

The difference between the present age of a father and that of a son is 32 years. If 14 years ago their ages were in the ratio of 5 : 3. Find the ratio between their ages after 6 years.
  1. $17:25$
  2. $25:17$
  3. $15:23$
  4. $23:15$
  5. $5:3$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let current ages be father = F, son = S. F - S = 32. 14 years ago: (F-14)/(S-14) = 5/3. Cross-multiplying: 3F - 42 = 5S - 70, so 3F - 5S = -28. Substituting F = S + 32: 3(S+32) - 5S = -28, giving S = 62. So F = 94. After 6 years: father = 100, son = 68. Ratio = 100:68 = 25:17.

Multiple choice

The ratio between the ages of A and B is 3 : 11. B is 12 years younger than C. After 7 years C's age will be 85 years. What will be the present age of A's father who is 25 years elder than A? A और B की वर्तमान आयु के बीच क्रमशः अनुपात 3 : 11 है | B, C से 12 वर्ष छोटा है | 7 वर्ष बाद C की आयु 85 वर्ष हो जायेगी | A के पिता की वर्तमान आयु क्या होगी जो A से 25 वर्ष बड़े हैं ?

  1. 43 years/वर्ष

  2. 45 years/वर्ष

  3. 67 years/वर्ष

  4. 69 years/वर्ष
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

After 7 years, C's age = 85, so present C = 78. B is 12 years younger than C, so B = 78 - 12 = 66. A:B = 3:11, so A = (3/11) × 66 = 18. A's father is 25 years elder, so father's age = 18 + 25 = 43 years.

Multiple choice

The present age of A is three times of the present age of her daughter and nine-thirteenth of his mother's present age. The sum of ages of all the three persons are 125 years. What is the difference between the age of A's daughter and A's mother A की वर्तमान आयु उसकी पुत्री की वर्तमान आयु से तिगुनी और उसकी माता की वर्तमान आयु का नव-तेरांश है | इन सभी की वर्तमान आयु का योग 125 वर्ष है | A की पुत्री की वर्तमान आयु और माता की वर्तमान आयु के बीच क्या अन्तर है ?

  1. 45 years/वर्ष

  2. 40 years/वर्ष

  3. 50 years/वर्ष

  4. 55 years/वर्ष
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let daughter's age = d. Then A's age = 3d and A's mother's age = (13/9) × 3d = (13/3)d. Sum: d + 3d + (13/3)d = 125. Solving: (4 + 13/3)d = 125, so (25/3)d = 125, giving d = 15. Daughter = 15 years, mother = (13/3) × 15 = 65 years. Difference = 65 - 15 = 50 years, confirming option C is correct.

Multiple choice

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 the father to that of the son is -
  1. $4 : 1$
  2. $8 : 3$
  3. $10 : 3$
  4. $12 : 5$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let present ages be F (father) and S (son). Five years ago: F - 5 = 5(S - 5), so F = 5S - 20. After two years: F + 2 = 3(S + 2), so F = 3S + 4. Equating: 5S - 20 = 3S + 4, giving 2S = 24, so S = 12 and F = 40. Ratio F:S = 40:12 = 10:3. Options A, B, D are incorrect ratios from misinterpreting the timeline.

Multiple choice

Present age ratio of Gaurav and Varun is 3:11, Smita is 12 years younger than Varun. After 4 years Smita will celebrate her 25th birthday. If Raghu is father of Gaurav and he is thrice the age of Gaurav last year. Find the present age of Gaurav's father?

  1. 20

  2. 21

  3. 22

  4. 24

  5. 25
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Smita is 12 years younger than Varun, and after 4 years she'll be 25, so her present age is 21. Thus Varun's present age is 21 + 12 = 33. Gaurav:Varun = 3:11, so 3x = Gaurav and 11x = 33, giving x = 3. Gaurav's present age is 3×3 = 9. Last year Gaurav was 8, and his father Raghu was thrice that age (24), so Raghu's present age is 24 + 1 = 25.

Multiple choice

A father's age is thrice of his son's age. If there age's sum is 48 then what is the father's age? एक पिता की आयु अपने पुत्र की आयु की तिगुनी है। यदि उनकी आयु का योगफल 48 वर्ष है तो पिता की आयु क्या है?

  1. 36 years/वर्ष

  2. 40 years/वर्ष

  3. 30 years/वर्ष

  4. 32 years/वर्ष
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let son's age be x. Then father's age is 3x. Sum: x+3x=48, so 4x=48, x=12. Father's age = 3×12=36. The equation is straightforward: father is thrice son's age, their sum is 48. Option A (36 years) is correct.

Multiple choice

Prashant's grandfather was 9 times older than him 16 years ago. His grandfather's age will be 3 times of his age 8 years from now. Eight years ago, the ratio of Prashant's age to that of his grandfather was:

  1. 3 : 8

  2. 2 : 5

  3. 2 : 3

  4. 1 : 5
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Prashant's age 16 years ago = P, so Grandfather = 9P. Currently: Prashant = P+16, Grandfather = 9P+16. In 8 years: Prashant = P+24, Grandfather = 9P+24. Given: 9P+24 = 3(P+24), so 9P+24 = 3P+72, giving 6P=48, P=8. Eight years ago means Prashant was (P+16-8)=P+8=16, Grandfather was (9P+16-8)=9P+8=80. Ratio = 16:80 = 1:5. Option D is correct.

Multiple choice

A father's age is 5 times more than his son. His son's age is 6 years. After how many years will the father's age be four times his son's age?

  1. 5 years

  2. 6 years

  3. 4 years

  4. 2 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Son's current age is 6 years. Father's age is 5 times the son's age, so father is 30 years old. Let x years be added. Then (30 + x) = 4(6 + x), which gives 30 + x = 24 + 4x, so 3x = 6, and x = 2. After 2 years, father will be 32 and son will be 8, satisfying the 4:1 ratio.