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 ratio between the present ages of Anu and Balbir is 5 : 3, respectively. The ratio between Anu's age 4 years ago and Balbir's age 4 years hence is 1 : 1. What is the ratio between Anu's age 4 years hence and Balbir's age 4 years ago?

  1. 4 : 1

  2. 2 : 4

  3. 3 : 2

  4. 3 : 1
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Anu's age be 5x and Balbir's be 3x. (5x - 4) / (3x + 4) = 1/1. 5x - 4 = 3x + 4, so 2x = 8, x = 4. Anu = 20, Balbir = 12. Ratio (20+4) : (12-4) = 24 : 8 = 3 : 1.

Multiple choice

The respective ratio of the present ages of a son and his father is 1 : 5 and that of his mother and father is 4 : 5. After two years, the respective ratio of the ages of the son and his mother will become 3 : 10. What is the present age of the father?

  1. 30 years

  2. 35 years

  3. 28 years

  4. 40 years

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

S:F = 1:5, M:F = 4:5. So S:M:F = 1:4:5. Let ages be x, 4x, 5x. After 2 years: (x+2)/(4x+2) = 3/10. 10x + 20 = 12x + 6, so 2x = 14, x = 7. Father's age = 5x = 35.

Multiple choice

The present ages of three friends A, B and C are in the ratio 3 : 5 : 7, respectively. Six years ago, the sum of their ages was 57. Find the present ages (in years) of A, B and C, respectively.

  1. 18, 30, 42

  2. 15, 25, 35

  3. 9, 15, 21

  4. 12, 20, 28

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

Let the ages be 3x, 5x, and 7x. Six years ago, their ages were (3x-6), (5x-6), and (7x-6). Their sum is 15x - 18 = 57, so 15x = 75 and x = 5. The present ages are 15, 25, and 35.

Multiple choice

Sum of the present ages of Gopal, Rajesh, Neelesh and Piyush is 96 years. The ratio of their ages is 3 : 7 : 11 : 13 after 10 years. How old is Neelesh as compared to Rajesh?

  1. 16 years

  2. 12 years

  3. 15 years

  4. 18 years

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

Sum of ages now = 96. Sum after 10 years = 96 + 40 = 136. Ratio 3:7:11:13 means sum of parts = 34. 136/34 = 4. Ages after 10 years: 12, 28, 44, 52. Present ages: 2, 18, 34, 42. Neelesh (34) vs Rajesh (18) difference is 16.

Multiple choice

The average age of a class of 35 students is 15 years. If the teacher's age is also included, the average age increases by one year. The average age of the teacher's family, having a wife and a son, is 40 years and the son's age is 80% less than his mother's age. Find the age of the teacher's wife.

  1. 57.5 years

  2. 50 years

  3. 47.5 years

  4. 55.5 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The total age of 35 students is 35 * 15 = 525. Including the teacher, the average becomes 16 for 36 people, so the teacher's age is (36 * 16) - 525 = 576 - 525 = 51. The family average is 40 for 3 people (teacher, wife, son), so their total age is 120. If the son is 80% less than the mother (M), son = 0.2M. Teacher + M + 0.2M = 120, so 51 + 1.2M = 120, 1.2M = 69, M = 57.5.