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

Four years ago, the ages of Ritu and Reena were in the ratio 5 : 6. Eight years from now, the ratio of their ages will be 8 : 9. What is the sum of their ages at present?

  1. 52 years

  2. 50 years

  3. 60 years

  4. 62 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let ages 4 years ago be 5x and 6x. Present ages: 5x+4, 6x+4. Ages 8 years from now: 5x+12, 6x+12. Ratio: (5x+12)/(6x+12) = 8/9. 45x + 108 = 48x + 96. 3x = 12, x = 4. Present ages: 5(4)+4 = 24 and 6(4)+4 = 28. Sum = 24 + 28 = 52.

Multiple choice

Directions: The question given below is followed by three statements I, II and III. You have to consider the information in all three statements and decide which statement(s) is/are not required to answer the question and can therefore be dispensed with. What is Ram's present age? I. Ram's present age is double the age of his friend Shyam. II. The ratio of the present age of Ram to the present age of his friend Mohan is 2 : 5. III. After 3 years, the ratio of Ram's age to his friend Shyam's age will be 9 : 5.

  1. Only III

  2. Either I or II

  3. Only II

  4. Either I or III

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

Let R, S, M be ages. I: R = 2S. II: R/M = 2/5. III: (R+3)/(S+3) = 9/5. Using I and III: (2S+3)/(S+3) = 9/5 => 10S + 15 = 9S + 27 => S = 12. Then R = 24. Statement II is not needed to find R.

Multiple choice

The average age of four boys, five years ago, was 9 years. On including a new boy, the present average age of all the five is 15 years. The present age of the new boy is

  1. 14 years

  2. 6 years

  3. 15 years

  4. 19 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Five years ago, the sum of ages of 4 boys was 9 * 4 = 36. Today, their sum is 36 + (5 * 4) = 56. The new average age of 5 boys is 15, so their total age is 15 * 5 = 75. The new boy's age is 75 - 56 = 19.

Multiple choice

The present ages of A, B and C are in the ratio of 8 : 14 : 22, respectively. The present ages of B, C and D are in the ratio of 21 : 33 : 44, respectively. Which of the following represents the ratio of the present ages of A, B, C, and D, respectively?

  1. 12 : 21 : 33 : 44

  2. 12 : 22 : 31 : 44

  3. 12 : 21 : 36 : 44

  4. Cannot be determined

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

A:B = 8:14 = 4:7. B:C = 21:33 = 7:11. So A:B:C = 4:7:11. B:C:D = 21:33:44. To combine, multiply A:B:C by 3: 12:21:33. Now combine with B:C:D = 21:33:44. Result is 12:21:33:44.

Multiple choice

B is 8 years older than A and 8 years younger than C. 12 years hence, respective ratio of the ages of A and C will be 5 : 9. What is the sum of present ages of A, B and C?

  1. 58 years

  2. 46 years

  3. 48 years

  4. 60 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let A's age be x. Then B is x+8 and C is x+16. In 12 years, A will be x+12 and C will be x+28. Given (x+12)/(x+28) = 5/9, we get 9x + 108 = 5x + 140, so 4x = 32, x = 8. Present ages: A=8, B=16, C=24. Sum = 8+16+24 = 48.

Multiple choice

Aman and Ankit's present ages are 'x' years and 'y' years, respectively. If Aman's age will be 5 year more than half of Ankit's age 3 years from now, then find the linear equation that represents the correct relation regarding the present age of Aman and Ankit.

  1. 2x - 7 = y

  2. 2x + y = 7

  3. 2x - 6 = y

  4. 2x - 5 = y

  5. 2x - y = 6
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Aman = x, Ankit = y. 3 years from now, Ankit's age = y+3. Aman's age 3 years from now = x+3. Relation: x+3 = 0.5(y+3) + 5. Multiply by 2: 2x+6 = y+3+10 -> 2x+6 = y+13 -> 2x-7 = y.