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

Naresh is 8 years older than his brother. Naresh's brother is 32 years younger than his mother, who is 16 years younger than her husband. If present age of Naresh's brother is 25% of the age of his father, then find the age of Naresh's mother after 5 years.

  1. 53 years

  2. 55 years

  3. 73 years

  4. 63 years

  5. 58 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Brother = 0.25 * Father. Brother = Naresh - 8. Brother = Mother - 32. Mother = Father - 16. Let Father = F. Brother = 0.25F. Mother = 0.25F + 32. Also Mother = F - 16. So 0.25F + 32 = F - 16. 48 = 0.75F. F = 64. Mother = 64 - 16 = 48. After 5 years, Mother = 48 + 5 = 53.

Multiple choice

The present age of a father is equal to sum of the ages of his 4 children. After ten years the sum of the ages of the children will be 1.6 times the age of their father. What is the present age of father?

  1. 36 years

  2. 40 years

  3. 42 years

  4. 45 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let F be father's age, S be sum of children's ages. F = S. After 10 years, father is F+10, sum of children is S+40 (each of 4 children ages by 10). (S+40) = 1.6(F+10). Since F=S, F+40 = 1.6F + 16. 24 = 0.6F. F = 40.

Multiple choice

The age of a son, who is more than two years old, is equal to the units digit of the age of his father. After ten years, the age of the father will be thrice the age of the son. What is the sum of the present ages of the son and the father?

  1. 30 years

  2. 36 years

  3. 40 years

  4. Cannot be determined
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let son's age be S, father's age be F. S = units digit of F. F + 10 = 3(S + 10). F + 10 = 3S + 30, so F = 3S + 20. Since S is the units digit of F, F must end in S. If S=5, F=35 (ends in 5). If S=6, F=38 (ends in 8). If S=5, F=35, sum = 40.

Multiple choice

P's age 8 years ago is equal to the sum of the present ages of his son and his daughter. 5 years hence, the ratio between his daughter's age and his son's age will be 7 : 6 respectively. P's wife is 7 years elder than him. His wife's present age is thrice the present age of his son. What is his daughter's present age?

  1. 18 years

  2. 20 years

  3. 23 years

  4. 28 years

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

Let P's age = P, Son = S, Daughter = D. (P-8) = S+D. (D+5)/(S+5) = 7/6. Wife = P+7 = 3S. Solve system: P = 3S-7. (3S-7-8) = S+D -> D = 2S-15. (2S-15+5)/(S+5) = 7/6 -> (2S-10)/(S+5) = 7/6. 12S-60 = 7S+35 -> 5S = 95 -> S = 19. D = 2(19)-15 = 38-15 = 23.

Multiple choice

Three years ago, the average age of a family of 5 members was 17 years. On adoption of a child to the family, the present average age of the family still remains the same. The present age of the child is:

  1. 3 years

  2. 1 year

  3. 2 years

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

3 years ago, sum of ages of 5 members = 5 * 17 = 85. Present sum of ages of these 5 members = 85 + (5 * 3) = 100. With the child, there are 6 members, and the average is still 17. Total sum = 6 * 17 = 102. Child's age = 102 - 100 = 2.

Multiple choice

Three years ago, ratio of ages of Amisha and Namisha was 8 : 9. 3 years from now the ratio will become 11 : 12. What is the present age of Amisha?

  1. 2 years

  2. 16 years

  3. 19 years

  4. 21 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let ages 3 years ago be 8x and 9x. Present ages are 8x+3 and 9x+3. In 3 years, ages will be 8x+6 and 9x+6. Given (8x+6)/(9x+6) = 11/12. Solving: 12(8x+6) = 11(9x+6) => 96x + 72 = 99x + 66 => 3x = 6 => x = 2. Amisha's present age = 8(2) + 3 = 19.