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

Robin's father is 3 times as old as Robin. His father was 4 times his age 5 years ago. Which of the following expressions represents the given situation?

  1. (x – 5) = 4(3x)

  2. 4(x – 5) = 3x

  3. (x – 5) = 4(3x – 5)

  4. 4(x – 5) = (3x – 5)
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Robin's current age be x. His father's current age is 3x. Five years ago, Robin was (x - 5) and his father was (3x - 5). The problem states the father was 4 times Robin's age then, so 4(x - 5) = 3x - 5.

Multiple choice

Anu is 5 years older than Minu. 5 years ago, Anu's age was twice the age of Minu. Find their present ages.

  1. Anu's present age = 15 years, Minu's present age = 10 years

  2. Anu's present age = 10 years, Minu's present age = 15 years

  3. Anu's present age = 10 years, Minu's present age = 10 years

  4. Anu's present age = 15 years, Minu's present age = 15 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let Minu be M, Anu be M+5. 5 years ago: Anu was M, Minu was M-5. Anu's age (M) = 2 * (M-5). M = 2M - 10. M = 10. Anu = 15.

Multiple choice

In 1998, A's age is equal to the product of the last two digits of his birth year. At the same time, B's age is 1.2 times the age of A. Find A's birth year and B's present age.

  1. 1958, 48 years

  2. 1985, 40 years

  3. 1973, 27 years

  4. 1978, 47 years

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let birth year be 1900 + 10x + y. Age in 1998 is 98 - (10x + y). Given 98 - 10x - y = x * y. 98 = 10x + y + xy. Add 10 to both sides: 108 = (x+1)(y+10). Testing values for x (digits 0-9), if x=5, 108 = 6 * (y+10) -> 18 = y+10 -> y=8. Birth year 1958. Age = 40. B's age = 1.2 * 40 = 48.

Multiple choice

Jack and Wayne are brothers. Jack is 5 years older than Wayne and sum of their ages is 85 years. If £204 is divided among them in the ratio of their ages, how much money each of them will get?

  1. Jack = £100 Wayne = £104

  2. Jack =£105 Wayne = £100

  3. Jack = £150 Wayne = £54

  4. Jack =£108 Wayne = £96
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Wayne's age be W, Jack's be W+5. W + W + 5 = 85 => 2W = 80 => W = 40. Jack = 45, Wayne = 40. Ratio = 45:40 = 9:8. Total parts = 17. 204 / 17 = 12. Jack = 9 * 12 = 108. Wayne = 8 * 12 = 96.

Multiple choice

Amitabhs present age is four times his daughters present age and half of his mothers present age. The sum of the present ages of all three of them is 104 years. What is the difference between the present age of Amitabhs daughter and Amitabh`s mother?

  1. 45 years

  2. 40 years

  3. 56 years

  4. Cannot be determined

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

Let daughter = x, Amitabh = 4x, Mother = 8x. Sum = x + 4x + 8x = 13x = 104. x = 8. Daughter = 8, Mother = 64. Difference = 64 - 8 = 56.

Multiple choice

Barack got married 7 years ago. His present age is 5/4 times his age at the time of his marriage. Barack's sister was 7 years younger to him at the time of his marriage. The sum of the present ages of Barack and his sister is equal to his mother's age. Find the present age of Barack's mother.

  1. 56

  2. 63

  3. 70

  4. 77
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let B be Barack's age at marriage. His present age is B+7. We are given B+7 = (5/4)B, so 7 = B/4, B = 28. His present age is 35. His sister was 7 years younger at marriage, so she was 21 at marriage, and is 28 now. Mother's age = 35 + 28 = 63.