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

Directions: The question below is followed by three statements (I), (II) and (III). You have to determine which statement(s) is/are sufficient/necessary to answer the question. What will be the sum of ages of A and B, if A is younger than B? Statements: I. 10 years ago, the age of B was twice the age A. II. 10 years from now, the ratio of the age of A to that of B will be 3 : 4. III. The ratio of the present age of B to that of A is 3 : 2.

  1. Any two of the statements

  2. II and III together

  3. I and III together

  4. I and II together

  5. None of the given statement
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let A and B be the present ages. Statement I gives (B-10) = 2(A-10) -> B = 2A - 10. Statement II gives (A+10)/(B+10) = 3/4 -> 4A + 40 = 3B + 30. Statement III gives B/A = 3/2 -> B = 1.5A. Any two statements provide a system of two linear equations with two variables, which is sufficient to solve for A and B.

Multiple choice

Karan, Arjun, Preeti, Priya and Ashish are travelling in a car. Three years ago, the average age of Arjun, Preeti and Priya was 42 years. If the present age of Karan is 65 years and the present average age of all five is 50 years, then what is the present age of Ashish?

  1. 50 years

  2. 60 years

  3. 70 years

  4. 80 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Sum of ages of Arjun, Preeti, Priya 3 years ago was 42*3 = 126. Their current sum is 126 + (3*3) = 135. Total sum of all 5 is 50*5 = 250. Ashish's age = 250 - 135 - 65 = 50.

Multiple choice

At present Geeta is eight times her daughter's age. Eight years from now, the ratio of the ages of Geeta and her daughter will be 10 : 3 respectively. What is Geeta's present age ?

  1. 30

  2. 31

  3. 32

  4. 33

  5. 34
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the daughter's present age be x, making Geeta's present age 8x. In eight years, their ages will be 8x + 8 and x + 8, with a ratio of 10 to 3. Solving the equation 3(8x + 8) = 10(x + 8) gives x = 4, which means Geeta's present age is 32.

Multiple choice

Anil father was 32 years of age when he was born, while his mother was 27 years, when his brother three years younger to him was born, what is the difference between age of his parents in years?

  1. 4

  2. 8

  3. 6

  4. 2

  5. 10
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Anil's father age when Anil born = 32. Anil's mother age when brother born = 27. Brother is 3 years younger than Anil. When Anil was born, mother was 27 - 3 = 24. Difference between father and mother = 32 - 24 = 8.

Multiple choice

One year ago, Promila was four times as old as her daughter Sakshi. Six years hence, Promila's age will exceed her daughter's age by 9 years. The ratio of the present ages of Promila and her daughter is:

  1. 9:2

  2. 11 : 3

  3. 12:5

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

Let P and S be present ages. One year ago: P-1 = 4(S-1). Six years hence: (P+6) - (S+6) = 9, which simplifies to P - S = 9. Solving the system: P = S + 9. Substituting into the first: S + 9 - 1 = 4S - 4, so 12 = 3S, S = 4. Then P = 13. The ratio is 13:4.

Multiple choice

Sunita got married 8 years ago. Today her age is 9/7 times of her age at the time of her marriage. At present her daughter's age is one sixth of her age. What was her daughter's age 3 years ago?

  1. 2

  2. 6

  3. 3

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

Let Sunita's age at the time of her marriage be x, making her present age x + 8. Since her present age is also 9/7 of her marriage age, we solve x + 8 = 9x/7 to find x = 28, meaning her present age is 36. Her daughter's present age is one-sixth of 36, which is 6, so three years ago the daughter was 3 years old.