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 of Nutan's age to Vidya's age at present is $5:4$. If the sum of their ages at present is $36$, what is Vidya's age at present?
  1. Present ages of Nutan and Vidya are $30$ and $20$ years respectively.
  2. Present ages of Nutan and Vidya are $20$ and $16$ years respectively.
  3. Present ages of Nutan and Vidya are $25$ and $20$ years respectively.

  4. Data insufficient
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Ratio 5:4. Sum = 36. 5x + 4x = 36. 9x = 36. x = 4. Nutan = 5 * 4 = 20. Vidya = 4 * 4 = 16.

Multiple choice

The present age of a father is $3$ years more than $3$ times the age of his son. Three years after, father's age will be $10$ years more than twice the age of the son. The father's present age is
  1. $33$ years
  2. $39$ years
  3. $45$ years
  4. $40$ years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let S be the son's age and F be the father's age. F = 3S + 3. Three years later, F + 3 = 2(S + 3) + 10. Substituting the first into the second: 3S + 3 + 3 = 2S + 6 + 10, which simplifies to 3S + 6 = 2S + 16, so S = 10. Then F = 3(10) + 3 = 33.

Multiple choice

The present age of A is twice that of B. After 30 years from now the age of A will be $\displaystyle 1^{1/2}$ times that of B. Find the present ages of A and B respectively.
  1. $60, 30$
  2. $30, 60$
  3. $40, 50$
  4. $50, 40$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the present ages of A and B be 2x and x. After 30 years, their ages will be 2x+30 and x+30. The problem states 2x+30 = 1.5(x+30), which simplifies to 2x+30 = 1.5x+45, so 0.5x = 15, meaning x = 30. Thus, A is 60 and B is 30.

Multiple choice

The ages of Rahul and Haroon are in the ratio $5: 7$. Four years later, the sum of their ages will be $56$ years. What are their present ages?
  1. Rahul's age $= 10$ years and Haroon's age $=17$ years
  2. Rahul's age $= 25$ years and Haroon's age $= 42$ years
  3. Rahul's age $= 28$ years and Haroon's age $= 50$ years
  4. Rahul's age $= 20$ years and Haroon's age $= 28$ years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let ages be 5x and 7x. Four years later, (5x+4) + (7x+4) = 56 => 12x + 8 = 56 => 12x = 48 => x = 4. Ages are 5(4)=20 and 7(4)=28.

Multiple choice

Baichung's father is $26$ years younger than Baichung's grandfather and $29$ years older than Baichung. The sum of the ages of all the three is $135$ years. What is the age of each one of them?
  1. Baichung's age is $12$ years, his father's age is $35$ years and his grandfather's age is $65$.
  2. Baichung's age is $18$ years, his father's age is $45$ years and his grandfather's age is $66$.
  3. Baichung's age is $26$years, his father's age is $55$ years and his grandfather's age is $84$.
  4. Baichung's age is $17$ years, his father's age is $46$ years and his grandfather's age is $72$.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Baichung's age be x. His father is x+29 and his grandfather is (x+29)+26 = x+55. The sum x + (x+29) + (x+55) = 135 simplifies to 3x + 84 = 135, so 3x = 51, meaning x = 17. Thus, Baichung is 17, his father is 46, and his grandfather is 72.

Multiple choice

A grandfather is ten times older than his grand daughter. He is also $54$ years older than her. Find their present ages.
  1. The present age of granddaughter is $6$ years and that of grandfather is $60$ years.
  2. The present age of granddaughter is $8$ years and that of grandfather is $80$ years.
  3. The present age of granddaughter is $7$ years and that of grandfather is $70$ years.
  4. The present age of granddaughter is $9$ years and that of grandfather is $90$ years.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the granddaughter's age be x. The grandfather's age is 10x. We are given 10x = x + 54, so 9x = 54, which means x = 6. The grandfather is 60.

Multiple choice

Arman's age is three times his son's age. Ten years ago he was five times his son's age. Find their present ages.
  1. Son's age $= 20$ years and Aman's age $= 60$years.
  2. Son's age $= 12$ years and Aman's age $= 36$years.
  3. Son's age $= 18$years and Aman's age $= 54$years.
  4. Son's age $= 15$ years and Aman's age $= 45$years.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let son's age be x, Arman's be 3x. Ten years ago: 3x - 10 = 5(x - 10). 3x - 10 = 5x - 50, so 2x = 40, x = 20. Arman = 3 * 20 = 60.

Multiple choice

Shobo's mother's present age is six times Shobo's present age. Shobo's age five years from now will be one third of the mother's present age. What are their present ages?
  1. Present age of Shobo is $7$ years and his mother is $42$ years
  2. Present age of Shobo is $18$ years and his mother is $54$ years
  3. Present age of Shobo is $5$ years and his mother is $30$ years
  4. Present age of Shobo is $8$ years and his mother is $48$ years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Shobo be x, mother be 6x. In 5 years, Shobo is x+5. Equation: x+5 = 1/3 * (6x). x+5 = 2x, so x = 5. Mother is 6*5 = 30.