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

Apurva was married 16 years ago and the ratio of her present age to her age at the time of marriage is 5:3. After 4 years of marriage, she gave birth to a baby. Find the sum of the current ages of Apurva and her baby.

  1. 52

  2. 42

  3. 41

  4. 40

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

Apurva was married 16 years ago. Ratio of present age to marriage age is 5:3. If present age = 5x, marriage age = 3x, then 5x - 3x = 16, so 2x = 16, x = 8. Present age = 40 years, marriage age = 24 years. Baby born 4 years after marriage, so baby's current age = 16 - 4 = 12 years. Sum = 40 + 12 = 52 years.

Multiple choice

A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 46 years now, what was the son's age seven years back?

  1. 14 years

  2. 16 years

  3. 15 years

  4. 18 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let father's current age = F = 46, son's current age = S. When son was born (S years ago), father was F - S years old. The statement says father was then as old as son is now: F - S = S. So 46 - S = S, meaning 46 = 2S, so S = 23. Son's age 7 years back = 23 - 7 = 16 years.

Multiple choice

Four years ago, ratio of age of A and B was (3:4). Average of present age of A, B and C is 26 years. C is 11 years younger than B. what is the present age of A?

  1. 24 years

  2. 25 years

  3. 22 years

  4. 32 years

  5. 21 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Four years ago: A:B = 3:4, so A = 3k-4, B = 4k-4 currently. C = B - 11 = 4k - 15. Average of A,B,C = 26, so sum = 78. (3k-4) + (4k-4) + (4k-15) = 78 gives 11k = 101, k = 9.18. A = 3(9.18) - 4 ≈ 23.54. Rounding to nearest integer gives 25 years as the closest option.

Multiple choice

Eight years ago, the ratio of ages of A and B was 5 : 4. The ratio of their present age is 6 : 5. What will be the sum (in years) of the ages of A and B after 7 years from now?

  1. 102

  2. 114

  3. 107

  4. 90

  5. 120
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let ages 8 years ago be 5x and 4x. Present ages: 5x+8 and 4x+8 in ratio 6:5. So (5x+8)/(4x+8) = 6/5. Solving: 25x+40 = 24x+48, giving x=8. Present ages: 48 and 40. After 7 years: 55 and 47. Sum = 102, matching option A.

Multiple choice

Present age of A is 3 years less than present age of B. Ratio of B’s age 5 year ago and A’s age 4 year hence is 3 : 4 then find present age (in years) of A. A की वर्तमान आयु, B की वर्तमान आयु से 3 वर्ष कम है। 5 वर्ष पूर्व B की आयु का अनुपात और 4 वर्ष बाद A की आयु का अनुपात 3: 4 है, तो A की वर्तमान आयु (वर्षों में) ज्ञात कीजिए।

  1. 20

  2. 17

  3. 23

  4. 26

  5. 29
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let A's present age = a, B's present age = b. Given a = b - 3. Also, (b - 5) : (a + 4) = 3 : 4. Substituting: (b - 5) / (b - 3 + 4) = 3/4, so (b - 5) / (b + 1) = 3/4. Cross-multiplying: 4(b - 5) = 3(b + 1), giving 4b - 20 = 3b + 3, so b = 23. Therefore a = 23 - 3 = 20 years.

Multiple choice

Present average of age of P and Q is 3x – 15 years. Present average age of P, Q and R is 2x + 6 years. If present age of Q is 50% less than the present age of R then find the present age of Q. P और Q की आयु का वर्तमान औसत 3x - 15 वर्ष है। P, Q और R की वर्तमान औसत आयु 2x + 6 वर्ष है। यदि Q की वर्तमान आयु R की वर्तमान आयु से 50% कम है, तो Q की वर्तमान आयु ज्ञात कीजिए।

  1. 24 years 24 वर्ष

  2. 12 years 12 वर्ष

  3. 26 years 26 वर्ष

  4. 38 years 38 वर्ष

  5. 20 years 20 वर्ष
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Average of P and Q is 3x-15, so P+Q = 2(3x-15) = 6x-30. Average of P,Q,R is 2x+6, so P+Q+R = 3(2x+6) = 6x+18. Subtracting: R = (6x+18) - (6x-30) = 48. Since Q is 50% less than R, Q = R - 50% of R = 48 - 24 = 24 years.

Multiple choice

Eight years ago, the ratio of ages of A and B was 5:4. The ratio of their present ages is 6:5. What will be the sum (in years) of the ages of A and B after 7 years from now? आठ वर्ष पहले, A और B की आयु का अनुपात 5:4 था। उनकी वर्तमान आयु का अनुपात 6:5 है। अब से 7 वर्ष बाद A और B की आयु का योग (वर्षों में) क्या होगा?

  1. 90

  2. 112

  3. 102

  4. 80

  5. 85
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Eight years ago: (A-8)/(B-8) = 5/4, so 4A - 32 = 5B - 40. Currently: A/B = 6/5, so 5A = 6B. Solving: From second, B = 5A/6. Substituting: 4A - 32 = 5(5A/6) - 40, giving A = 48, B = 40. After 7 years: (48+7) + (40+7) = 55 + 47 = 102 years.

Multiple choice

At present, Ramesh is 4 times older than his daughter. After 10 years, the sum of their ages will be 60 years. Find the age of daughter after 10 years.

  1. 24 years

  2. 28 years

  3. 18 years

  4. 22 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let daughter's current age = d. Ramesh is 4 times older, so his age = 4d. After 10 years: daughter = d+10, Ramesh = 4d+10. Their sum = 60: (d+10) + (4d+10) = 60, giving 5d + 20 = 60, so 5d = 40 and d = 8. Daughter's age after 10 years = 8 + 10 = 18. Option C is correct.

Multiple choice

The respective ratio between the present age of Manisha and Deepak is 5 : X. Manisha is 9 years younger than Paresh. Paresh's age after 10 years will be 34 years. The difference between Deepak's and Manisha's age is same as the present age of Paresh. What will come in place of X ?

  1. 12

  2. 15

  3. 13

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

Paresh's current age = 34 - 10 = 24 years. Manisha = 24 - 9 = 15 years. Since Deepak - Manisha = Paresh's age: Deepak - 15 = 24, so Deepak = 39. Ratio Manisha:Deepak = 15:39 = 5:13, giving X = 13. Option A (12) and B (15) don't match the calculated ratio, while D (4) is too small.