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 ages of a father and his son four years ago was 19 : 6. If the difference between the ages of the father and son is 26 years, what will be the ratio of their present ages?

  1. 21 : 8

  2. 23 : 8

  3. 23 : 10

  4. 27 : 14

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

Let father's age be F and son's be S. F - S = 26. Four years ago: (F-4)/(S-4) = 19/6. 6F - 24 = 19S - 76. 6F - 19S = -52. Substitute F = S + 26: 6(S+26) - 19S = -52. 6S + 156 - 19S = -52. -13S = -208. S = 16. F = 42. Present ratio = 42:16 = 21:8.

Multiple choice

The present ages of Nitish, Manish and Rohit are in the ratio 5 : 6 : 11. Seven years later, the sum of their ages will be 87. Find their present ages.

  1. Nitish - 15 yr, Manish - 18 yr, Rohit - 33 yr

  2. Nitish - 20 yr, Manish - 24 yr, Rohit - 44 yr

  3. Nitish - 10 yr, Manish - 18 yr, Rohit - 33 yr

  4. Nitish - 15 yr, Manish - 20 yr, Rohit - 36 yr

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

Let ages be 5x, 6x, 11x. Seven years later, (5x+7) + (6x+7) + (11x+7) = 87. 22x + 21 = 87, 22x = 66, x = 3. Ages: 15, 18, 33.

Multiple choice

The average age of three children in a family is 15% of the average age of the father and the youngest child. The sum of the ages of the mother and the eldest child is 47 years. If the father's age is 32 years, then what is the age of the second child?

  1. 15 years

  2. 16 years

  3. 17 years

  4. Cannot be determined

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

The information provided is insufficient to solve for the second child's age as there are too many variables and not enough independent equations.

Multiple choice

Ghosh Babu told Banke Lal, “My wife is older than your daughter by six years. Your daughter is one-sixth the age of my great-grandfather. But, your eldest son is younger than your second wife by eight years.” Banke Lal said, “My second wife is older than your only wife by one-seventh. My eldest son is one-sixth the age of what your great-grandfather would have been, had he not died six years ago. What would have been the age of Ghosh Babu’s great-grandfather at the time of this conversation?

  1. 84 years

  2. 100 years

  3. 96 years

  4. 90 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Multiple choice

The present average age of n boys in Class VIII is Y years. Three new boys join the class, whose ages are Y - 1, Y - 2 and Y + 3 years. What will be the new average age (in years) of the class, when all the students are promoted to Class X(tenth)?

  1. Y

  2. n Y + 2 n + 3

  3. Y + 1

  4. Y + 2
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The three new ages total (Y - 1) + (Y - 2) + (Y + 3) = 3Y, so the average remains Y after they join. When everyone is promoted two years later, every age increases by 2, making the new average Y + 2.

Multiple choice

The present ages of a father and his son are in the ratio 6 : 1. Four years from now, the ratio of their ages will be 4 : 1. What is the son's present age?

  1. 10 years

  2. 6 years

  3. 4 years

  4. 8 years

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

Let the present ages of the father and son be 6x and x, respectively. In four years, their ages will be 6x + 4 and x + 4, and their ratio is 4 : 1. Solving the equation (6x + 4) / (x + 4) = 4 gives x = 6, which represents the son's present age.