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

Mohanti is 9 years older than his younger sister Kranti. Kranti's age 9 years ago was three times the difference between the present ages of her parents. Kranti's mother was 19 years old when Mohanti was born. What is the present age of Kranti, if his father is the oldest among them and was 21 years old when Mohanti was born?

  1. 15 years

  2. 9 years

  3. 12 years

  4. 18 years

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

Let Kranti be K, Mohanti be M=K+9. Mother was 19 when M was born, so Mother = M+19 = K+28. Father was 21 when M was born, so Father = M+21 = K+30. Kranti's age 9 years ago was K-9. The difference between parents' ages is (K+30)-(K+28) = 2. Kranti's age 9 years ago was 3 * 2 = 6. So K-9 = 6, K = 15.

Multiple choice

The ratio of the ages of two brothers Simba and Pumbaa in year 2018 is 7 : 5; and 8 years ago, the ratio of their ages was 5 : 3, respectively. Find the average of their ages in year 2020.

  1. 20 years

  2. 22 years

  3. 24 years

  4. 26 years

  5. 28 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let ages in 2018 be 7x and 5x. 8 years ago (2010), ages were 7x-8 and 5x-8. Ratio (7x-8)/(5x-8) = 5/3. 21x - 24 = 25x - 40. 4x = 16, so x = 4. Ages in 2018: 28 and 20. Ages in 2020: 30 and 22. Average = (30+22)/2 = 26.

Multiple choice

The ratio of the ages of Rajiv and Raghu is 5 : 7 when the age of their father is 50 years. The difference between the ages of Rajiv and Raghu is 8 years. What will be the age of their father, when the ratio of their ages is 2 : 3?

  1. 42 years

  2. 44 years

  3. 46 years

  4. 48 years

  5. 52 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Since the difference between Rajiv's and Raghu's ages is 8 years and their ratio is 5 : 7, their ages are 20 and 28 respectively when their father is 50. To find when their ratio is 2 : 3, we solve (20 + y)/(28 + y) = 2/3, which gives y = -4, meaning this occurred 4 years ago when the father was 46 years old.

Multiple choice

After 4 years, twice the age of a man will be equal to a woman's age. Six years ago, the age of the woman was 4 years less than thrice the age of the man at the time. Find the present age of the man.

  1. 20 years

  2. 22 years

  3. 28 years

  4. 30 years

  5. 44 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let M be man's age, W be woman's age. 2(M + 4) = W + 4 => 2M + 8 = W + 4 => W = 2M + 4. Six years ago: W - 6 = 3(M - 6) - 4 => W - 6 = 3M - 18 - 4 => W = 3M - 16. Equating: 2M + 4 = 3M - 16 => M = 20.

Multiple choice

The present age of Aniket's grandmother is nine times two more than Aniket's present age. Nine years hence, six times the Aniket's age will be eighteen more than grandmother's age then. What is the present age of Aniket's grandmother?

  1. 45 years

  2. 54 years

  3. 72 years

  4. 63 years

  5. 75 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let Aniket's age be x. Grandmother's age = 9(x+2) = 9x + 18. Nine years hence: Aniket = x+9, Grandmother = 9x + 27. Equation: 6(x+9) = (9x + 27) + 18 => 6x + 54 = 9x + 45 => 3x = 9 => x = 3. Grandmother's age = 9(3+2) = 45.

Multiple choice

Directions: The question below is followed by three statements (I), (II) and (III). You have to determine which statement(s) is/are sufficient/necessary to answer the question. The sum of the present ages of A and B is 56 and that of B and C is 64. What is the present age of A? Statements: I. The ratio of the age of C to that of B was 11 : 15, six years ago. II. The difference between the ages of A and C is 8 years. III. The age of B was twice the age of A, four years ago.

  1. I alone

  2. I and III

  3. Either II or III alone

  4. Either I or III alone

  5. Any one of the three
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Given A+B=56 and B+C=64. From I: (C-6)/(B-6) = 11/15. From II: |A-C|=8. From III: B-4 = 2(A-4). Statement I provides a relation between B and C, which combined with B+C=64 allows finding B and C, and thus A. Statement III provides a direct relation between A and B, which combined with A+B=56 allows finding A. Thus, either I or III is sufficient.

Multiple choice

When 10 years are taken away from the present age of Sanjeev and the result is divided by 2, we get Akshay's present age. Sunil's present age is 6 years and Akshay is 3 years younger than Sunil. What is Sanjeev's present age?

  1. 16 years

  2. 15 years

  3. 14 years

  4. 10 years

  5. 8 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Sunil is 6. Akshay is 3 years younger, so Akshay is 3. The equation is (Sanjeev - 10) / 2 = 3. Solving gives Sanjeev - 10 = 6, so Sanjeev = 16.

Multiple choice

The average age of a father, a mother and a daughter is 39 years. What is the age of the father if the mother's age is 5 years less than that of the father and 1 year more than double the age of the daughter?

  1. 45 years

  2. 22 years

  3. 42 years

  4. 50 years

  5. 55 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the father's age be F. Mother's age is F - 5. Daughter's age is (F - 5 - 1) / 2 = (F - 6) / 2. The average age is (F + F - 5 + (F - 6) / 2) / 3 = 39. Solving for F: 2F - 5 + 0.5F - 3 = 117, so 2.5F = 125, giving F = 50.