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

Each question has two statements (I) and (II). Choose Rohit, Sameer and Vikram are three friends. Present average age of Rohit, Sameer and Vikram is 28 years. Find the present age of Vikram. I. Present average age of Sameer and Vikram is 32 years. Present age of Sameer is 25% more than the present age of Rohit. II: Present average age of Rohit and Sameer is 24 years.

  1. Statement (1) alone is sufficient

  2. Statement (2) alone is sufficient

  3. Both together are sufficient

  4. Each alone is sufficient

  5. Neither is sufficient
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let R, S, V be the ages. (R+S+V)/3 = 28 => R+S+V = 84. Statement I: (S+V)/2 = 32 => S+V = 64. Then R = 84 - 64 = 20. Also S = 1.25R = 25. Then V = 64 - 25 = 39. Sufficient. Statement II: (R+S)/2 = 24 => R+S = 48. Then V = 84 - 48 = 36. Sufficient. Both are sufficient independently.

Multiple choice

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. What is Arun's present age? I. Five years ago, Arun's age was double that of his son's age at that time. II. Present ages of Arun and his son are in the ratio of 11 : 6 respectively. III.Five years hence, the respective ratio of Arun's age and his son's age will become 12 : 7.

  1. Only II and III

  2. Only I and II

  3. Only I and III

  4. Any two of the three

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

Let A and S be current ages. I: A-5 = 2(S-5). II: A/S = 11/6. III: (A+5)/(S+5) = 12/7. Any two of these equations form a system that can be solved for A and S. For example, I and II: A=11k, S=6k. 11k-5 = 2(6k-5) => 11k-5 = 12k-10 => k=5. A=55.

Multiple choice

When Ravi was born: His father was 30 years older than his brother. His mother was 26 years older than his sister. His brother is 4 years older than his sister. After 6 years, the average age of the family shall be 22 years. What was the age of his mother when Ravi was born?

  1. 40 years

  2. 30 years

  3. 35 years

  4. 46 years

  5. 48 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let R, B, S be ages at birth. B = S + 4. Father = B + 30 = S + 34. Mother = S + 26. At year 6, ages are R=6, B=S+10, S=S+6, F=S+40, M=S+32. Average = (6 + S+10 + S+6 + S+40 + S+32)/5 = 22. 4S + 94 = 110, 4S = 16, S = 4. Mother's age at birth = S + 26 = 30.

Multiple choice

Five years ago. the ratio of the of a father and his son was 7:2. Five years hence, the ratio will become 9:4. What is the father's current age?

  1. 35 years

  2. 40 years

  3. 45 years

  4. 50 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the father's and son's ages five years ago be 7k and 2k. Five years hence, their ages are 7k + 10 and 2k + 10, whose ratio is 9:4. Solving 4(7k + 10) = 9(2k + 10) gives k = 5, so the father's current age is 7(5) + 5 = 40 years.

Multiple choice

Five years ago, the ratio of the ages of Priya and Tanvi was 3 : 4. Fifteen years from now, the ratio of their ages will be 5 : 6. The present ages of Priya and Tanvi are M years and N years, respectively. Quantity I: M - N/9 Quantity II: 0.4N + 8

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I ≥ Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or no relation
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let ages 5 years ago be 3x and 4x. Current ages M = 3x+5, N = 4x+5. (3x+20)/(4x+20) = 5/6. Solving gives 18x+120 = 20x+100, so 2x=20, x=10. M=35, N=45. Q1: 35 - 45/9 = 30. Q2: 0.4(45) + 8 = 18 + 8 = 26. 30 > 26.