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 following questions are accompanied by three statements I or A, II or B and III or C. You have to determine which statement(s) is/are sufficient/necessary to answer the questions and mark your answer accordingly What is the age of the Rambha in her family? I. Total age of Rambha, her father, her mother & her brother is 90 years. II. Average age of Rambha, her mother and her brother is 18 years and 4 months. III Average age of her mother and brother is four seventh of her father's age.

  1. Only I & II

  2. Only I & III

  3. Only II & Ill

  4. All I, II & III

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

I gives R+F+M+B = 90. II gives (R+M+B)/3 = 18.33, so R+M+B = 55. III gives (M+B)/2 = 4/7 F. With three independent equations and four variables, we can solve for R by substituting.

Multiple choice

The ratio of the present ages of Seema and Mohan is 2 : 5 and of Farah and Seema is 6 : 2. After 5 years, the ratio of the ages of Seema and Farah will be 3 : 7. What is the present age of Mohan?

  1. 15 years

  2. 20 years

  3. 25 years

  4. 30 years

  5. 35 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Seema's age be 2x and Mohan's be 5x. Since Farah:Seema = 6:2, Farah's age is 3 * Seema's age = 6x. After 5 years, (2x + 5) / (6x + 5) = 3/7. Solving for x: 14x + 35 = 18x + 15, so 4x = 20, x = 5. Mohan's age is 5x = 25.

Multiple choice

Directions: Study the information and answer the question given below. In a family of 8 members A, B, C, D, E, F, G and H, B is younger than her siblings and has not married yet. F is elder than his wife who is the sister of B. D is 7 years younger than his sister C who is 25 years old but 1 year elder than his wife who is daughter-in-law of A. H and G are the grandchildren of A. If D has two siblings then what is the age of sister in law of B?

  1. 16 years

  2. 17 years

  3. 18 years

  4. 19 years

  5. 20 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Multiple choice

Directions: In the following question, you have to find out the redundant statement(s) for determining the answer to the given question. What will be the sum of ages of mother and daughter after 10 years? I. Mother's present age is twice the daughter's present age. II. After 10 years, the ratio of mother's age to daughter's age will become 12 : 7. III. The difference between the mother's age and the daughter's age is equal to the daughter's present age.

  1. Only I or II

  2. Only II or III

  3. Only I or III

  4. Only III

  5. Any 2 of the 3
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let M = mother's age, D = daughter's age. I: M = 2D. II: (M+10)/(D+10) = 12/7. III: M - D = D => M = 2D. Statements I and III are identical, making one of them redundant.

Multiple choice

Directions: The problem consists of a question and three statements numbered I, II and III given below it. You have to decide which of the given statements is/are sufficient to answer the question. Read all the statements and give answer accordingly. What is the present age of Raja? I. 3 years ago, the ratio of the ages of Raka and Raja was 4 : 5. II. 2 years hence, the ratio of the ages of Rana and Raja will be 4 : 5. III. 2 years ago, the ratio of the ages of Rana and Raka was 12 : 13.

  1. I and II only

  2. II and III only

  3. I and III only

  4. All I, II and III together

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

We have three variables (Raja, Raka, Rana) and three linear equations from the ratios. Solving this system of equations allows us to determine the present ages.

Multiple choice

Directions: In this problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question. What is the difference between the ages of P and Q? I. Ten years ago, age of R was double that of Q. II. P is 5 years younger than R. III. Present ratio of ages of Q and R is 3 : 4.

  1. All three statements

  2. Only statements I and II

  3. Only statements II and III

  4. Only statement II and either statement I or statement III

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

We need the difference between P and Q. I: R-10 = 2(Q-10). II: P = R-5. III: Q/R = 3/4. With these, we can express P, Q, and R in terms of one variable and solve for the difference P-Q.

Multiple choice

Directions: In the following problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question. What is the ratio of the ages of Naina and Anju? I. Ratio of ages of Naina and Priya is 3 : 4. II. Ratio of ages of Priya and Anju is 8 : 9. III. Naina is 6 years younger than Anju.

  1. Only statements I and III

  2. Only statements II and III

  3. Only statements I and II

  4. All three statements together.

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

Statement I gives the ratio of Naina to Priya, and Statement II gives the ratio of Priya to Anju. Combining these provides the ratio of Naina to Anju. Statement III is redundant because the ratio is already determined by the first two.

Multiple choice

Directions: The question given below is followed by three statements (A), (B) and (C). You have to determine which statement(s) is/are sufficient/necessary to answer the question. What is the present age of Mohan? A. 6 years hence, the total ages of Mohan and his brother will be 9 times the difference of their ages. B. The sum of present ages of Mohan and his brother is 5 times the difference of their ages. C. Mohan is 3 years elder than his brother.

  1. Only statement A

  2. Only statement B

  3. Only statement C

  4. Any two of them

  5. All three statements
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let M be Mohan's age and B be his brother's age. Statement A gives (M+6) + (B+6) = 9(M-B). Statement B gives M+B = 5(M-B). Statement C gives M = B+3. Using any two statements allows you to solve for the two variables M and B.