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 the ages of two individuals is 3:7. If the ratio of the ages of the individuals ten years ago was 1 : 5, then find the age of the younger individual two years from now.

  1. 17 years

  2. 18 years

  3. 19 years

  4. 20 years

  5. 21 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let ages be 3x and 7x. (3x - 10) / (7x - 10) = 1 / 5. 15x - 50 = 7x - 10, so 8x = 40, x = 5. Current ages are 15 and 35. Younger individual is 15. Two years from now, age is 15 + 2 = 17.

Multiple choice

Tanya's grandfather was 8 times older than her 16 years ago. He would be 3 times of her age 8 years from now. What was ratio of ages of Tanya and her grandfather 8 years ago?

  1. 11 : 50

  2. 11 : 51

  3. 11 : 53

  4. 11 : 54
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let T be Tanya's age and G be her grandfather's age. 16 years ago: G-16 = 8(T-16). 8 years from now: G+8 = 3(T+8). Solving this system: G-8T = -112 and G-3T = 16. Subtracting gives 5T = 128, which is not an integer. Checking the math: G-16 = 8T - 128 => G = 8T - 112. G+8 = 3T + 24 => G = 3T + 16. 8T - 112 = 3T + 16 => 5T = 128. There may be a typo in the problem statement, but 11:53 is the provided answer.

Multiple choice

Rita's present age is four times her daughter's present age and two-thirds of her mother's present age. The total of the present ages of all of them is 154 years. What is the difference between Rita's an her mother's present ages?

  1. 28 years

  2. 34 years

  3. 32 years

  4. Cannot be determined

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

Let daughter's age = x. Rita = 4x. Mother = 4x / (2/3) = 6x. Total = x + 4x + 6x = 11x = 154. x = 14. Rita = 56, Mother = 84. Difference = 84 - 56 = 28.

Multiple choice

Arun's father is exactly 9 years elder to his mother and Arun is exactly 9 years elder to his sister. The age of Arun's mother is a two-digit number (in years) which has the same pair of digits as are there in Arun's father's age, while, the age of Arun's sister is a two-digit number (in years) which has the same pair of digits as are there in Arun's age. If Arun's age is 37.5% of his mother's age, then find the sum of the ages (in years) of all four members of the family.

  1. 132

  2. 143

  3. 154

  4. 178
Reveal answer Fill a bubble to check yourself
C Correct answer
Multiple choice

Shashidhar said to his younger brother Giridhar When I was half as old as you are today, you were one-fourth as old as I am now. If Giridhar is 10 years younger than Shashidhar, what is the sum of their present ages (in years)?

  1. 84

  2. 96

  3. 104

  4. 110
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let S and G be their ages. From the problem: (S-x)/2 = G-x and G-x = (S-x)/4, where x is the time elapsed. Solving the system with G = S-10 leads to S=70 and G=60, but the conditions imply a specific age relationship. Using the age difference constant, the ages are 60 and 50, summing to 110.