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

Amit, Vikas and Pushap are three friends. The square of difference between the ages of Amit and Vikas is equal to the square of the number obtained by subtracting 8 from Pushap's present age. Difference in ages of Amit and Pushap equals the difference between the square of the sum of ages of Amit and Pushap and 160. Find Pushap's present age if Vikas is 5 years old such that Amit is older than Pushap.

  1. 2 years

  2. 6 years

  3. 4 years

  4. 10 years

  5. 8 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let A, V, P be ages. (A-V)^2 = (P-8)^2. Given V=5, (A-5)^2 = (P-8)^2. Also A-P = (A+P)^2 - 160. Solving these equations with A > P yields P = 2.

Multiple choice

Directions: In this problem, a question is followed by three statements numbered I, II and III given below it. You have to decide which of the given statements is/are required to answer the question. What will be Piya's age after 10 years? I. Piya's mother's age is four times Piya's age. II. After 6 years, she will be three and a quarter times as old as Piya. III. The ratio of Piya's mother's age to Piya's age is more than 1.

  1. Only I

  2. Only II

  3. Only I and II

  4. Only II and III

  5. All three of them
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let M be mother's age and P be Piya's age. I: M = 4P. II: M + 6 = 3.25(P + 6). We have two variables and two equations, which is sufficient to solve for P and then P + 10.

Multiple choice

Three years ago, the average age of a family of 8 members was 30 years. If one child is also included in the family, the present average age of the family remains the same. What is the present age of the child?

  1. 3 years

  2. 4 years

  3. 6 years

  4. 1 year
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Three years ago, sum of ages of 8 members = 8 * 30 = 240. Present sum of ages = 240 + (8 * 3) = 264. With the child, there are 9 members, and the average is still 30. Present sum = 9 * 30 = 270. Age of child = 270 - 264 = 6.