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 age of a person k years ago was half of what his age would be k years from now. The age of the same person p years from now would be thrice of what his age was p years ago. What is the value of the ratio k:p?
  1. $3:2$
  2. $2:3$
  3. $1:4$
  4. $4:1$
  5. $5:1$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let current age be x. (x-k) = 1/2 * (x+k) => 2x - 2k = x + k => x = 3k. Also (x+p) = 3 * (x-p) => x + p = 3x - 3p => 4p = 2x => x = 2p. So 3k = 2p, which means k/p = 2/3.

Multiple choice

Study the question and the statements and decide which of the statement is/are not required to answer the question and hence can be dispensed with. What is the difference between the present ages of Ayush and Deepak? I. The ratio between Ayush's present age and his age after $8$ years is $4 : 5$. II The ratio between the present ages of Ayush and Deepak is $4: 3$. Ill. The ratio between Deepak's present age and his age four years ago is $6 : 5$

  1. Any two of I, Il and III

  2. I or IlI only

  3. Any one of the three

  4. All I, Il and III are required
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement I gives Ayush's age (A/(A+8) = 4/5 implies A=32). Statement II gives the ratio of Ayush to Deepak (A/D = 4/3). Statement III gives Deepak's age (D/(D-4) = 6/5 implies D=24). To find the difference (A-D), we only need A and D. We can find A from I, and D from II using A, or D from III. Any two statements are sufficient.

Multiple choice

The sum of the ages of a father and his son is $48$ years. Six years ago, the father's age was five times the age of his son. Find their present ages.
  1. Present age of Father is $30$ years and

    Present age of son is  $10$  years
  2. Present age of Father is  $48$  years and

    Present age of son is  $16$  years
  3. Present age of Father is  $45$  years and

    Present age of son is $15$  years
  4. Present age of Father is $36$  years and

    Present age of son is  $12$  years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let F and S be present ages. F + S = 48. Six years ago: (F-6) = 5(S-6). F-6 = 5S-30 => F = 5S-24. Substitute: 5S-24 + S = 48 => 6S = 72 => S = 12. F = 36.