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

The present average age of Ravi, Rakesh and Amit is 24 years. Two years ago, the average age of Ravi and Rakesh was 23 years, and four year ago, the average age of Ravi and Amit was 26 years. Find the present age of Ravi.

  1. 28 years

  2. 34 years

  3. 38 years

  4. 42 years

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

Let R, K, A be present ages. (R+K+A)/3 = 24 => R+K+A = 72. Two years ago: (R-2+K-2)/2 = 23 => R+K = 50. Four years ago: (R-4+A-4)/2 = 26 => R+A = 60. From R+K=50 and R+K+A=72, A=22. From R+A=60 and A=22, R=38.

Multiple choice

Directions: In the following problem, you have to find out which of the given statements is/are necessary for determining the answer of the question asked. What is the ratio of the ages of Neha and Minali? I. 6 years ago their ages were in the ratio 3 : 4. II. After 2 years, the Neha's age will be 85% that of the Minali. III. The sum of their ages is three less than twice the age of the Minali.

  1. Only I and II

  2. Only I and III

  3. Any two of them

  4. Either I or II and III

  5. None of the three statements
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I gives a ratio 6 years ago. Statement II gives a relationship between current ages. Statement III gives a relationship between current ages. Any two statements provide two linear equations with two variables, which is sufficient to find the ratio.

Multiple choice

The square of the difference between the age of Mohit's eldest brother Niranjan and the age of Mohit's sister Sunita (who is only 10 years old) is equal to the square of the number obtained by subtracting 8 years from Mohit's present age. The number obtained by subtracting Mohit's age from Niranjan's age equals the difference between the square of the sums of Niranjan's and Mohit's ages and 1762. How old is Mohit?

  1. 16 years

  2. 18 years

  3. 20 years

  4. 22 years

  5. 24 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let N, S, M be ages. S=10. (N-10)^2 = (M-8)^2. Since N > S, N-10 = M-8, so N = M+2. Also N-M = (N+M)^2 - 1762. Substituting N=M+2: (M+2)-M = (M+2+M)^2 - 1762. 2 = (2M+2)^2 - 1762. 1764 = (2M+2)^2. 42 = 2M+2. 40 = 2M, M = 20.