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

Rajan got married eight years ago. His present age is 6/5 times his age at the time of his marriage. Rajan's sister was 10 years younger to him at the time of his marriage. The present age of Rajan's sister is

  1. 32 years

  2. 36 years

  3. 38 years

  4. 40 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let R be Rajan's age at marriage. Current age = R + 8. Given R + 8 = (6/5)R, so 8 = R/5, R = 40. Rajan's current age = 48. Sister was 10 years younger at marriage, so she was 30. Current age of sister = 30 + 8 = 38.

Multiple choice

The average age of a family of husband, wife and a child 3 years ago was 30 years, and that of the child and wife 5 years ago was 23 years. What is the present age of the husband?

  1. 47 years

  2. 46 years

  3. 43 years

  4. 42 years

  5. 41 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

3 years ago, sum of ages (H+W+C) = 30 * 3 = 90. Present sum = 90 + 3*3 = 99. 5 years ago, sum of ages (W+C) = 23 * 2 = 46. Present sum (W+C) = 46 + 5*2 = 56. Husband's age = 99 - 56 = 43.

Multiple choice

Directions: This problem consists of a question followed by three statements, labelled as A, B and C. Read the statements carefully and decide which of them is/are sufficient/necessary to answer the question. Choose the correct option accordingly. The ratio between the present ages of Sohan and Farhan is 1 : 3. Find the present age of Farhan. A. Difference between the present ages of Mahima and Sohan is 22 years. B. Difference between the present ages of Farhan and Sohan is 26 years. C. The present age of Mahima is 4 years less than thrice the present age of Sohan.

  1. Only A and C together

  2. Either B alone or A and C together

  3. Any two of them

  4. All statements are required

  5. Question cannot be answered even after using all the information
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Ratio Sohan:Farhan = 1:3. Let Sohan = x, Farhan = 3x. Statement B says 3x - x = 26, so 2x = 26, x = 13. Farhan = 39. Statement A and C together: A says |M-x| = 22, C says M = 3x - 4. Substituting M: |3x - 4 - x| = 22, so |2x - 4| = 22. 2x - 4 = 22 -> x = 13. Both are sufficient.

Multiple choice

Directions: The question given below is followed by some information given in three statements I, II and III. You have to consider the information in all the three statements and decide the information in which statement is not required to answer the question and therefore, can be dispensed with. What is the present age of Manju? I. The present age of her son is half of her present age. II. After 3 years from now, the ratio of the age of Manju and her son will be 24 : 17. III. The ratio of the present age of Manju and her mother is 4 : 7.

  1. Only II

  2. Only III

  3. Either I or II

  4. Either II or III

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

Let M be Manju's age and S be her son's age. I: S = M/2. II: (M+3)/(S+3) = 24/17. III: M/Mother = 4/7. Statement I and II are sufficient to solve for M and S. Statement III provides info about the mother, which is not needed to find Manju's age.

Multiple choice

Ganesh, the grandson of Mahesh, was born on his grandfather's birthday. Once, when the family was celebrating their birthdays (including Ganesh's father), the grandson told Mahesh that not only had he just turned as old as the last two digits of the year he was born in, but also his age was a prime number and each of the two digits making up his age were also prime. The grandson was surprised when Mahesh turned to him and said that each of the two digits making up his age was identical to that of his grandson's age. This may have occurred in which of the following years?

  1. 1937

  2. 1923

  3. 1953

  4. Cannot be determined
Reveal answer Fill a bubble to check yourself
A Correct answer
Multiple choice

Directions: In this question, two quantities are given, one as 'Quantity 1' and another as 'Quantity 2'. You have to determine the relationship between the two quantities and choose the appropriate option. The average of the present ages of three persons X, Y and Z is 38 years. The present age of Y is 6/5 of the present age of X and the present age of Z is 160% of the present age of X. Quantity 1: 90% of the present age of X Quantity 2: 80% of the present age of Z

  1. Quantity 2 > Quantity 1

  2. Quantity 1 ≥ Quantity 2

  3. Quantity 1 > Quantity 2

  4. Quantity 2 ≥ Quantity 1

  5. Quantity 1 = Quantity 2 or Relation cannot be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Average age = 38, so X+Y+Z = 114. Y = 1.2X, Z = 1.6X. X + 1.2X + 1.6X = 3.8X = 114, so X = 30. Then Y = 36, Z = 48. Quantity 1 = 0.9 * 30 = 27. Quantity 2 = 0.8 * 48 = 38.4. Quantity 2 > Quantity 1.

Multiple choice

Directions: In the given question, two quantities are given, one as 'Quantity 1' and another as 'Quantity 2'. You have to determine the relationship between the two quantities and choose the appropriate option. The present age of Anshu is 8 years more than the present age of Ankit. Ten years ago, the ratio of the ages of Anshu and Ankit was 2 : 1. The present age of Ankita is equal to the average of the present ages of Anshu and Ankit. Quantity 1: Anshu's age after 5 years Quantity 2: Ankita's age after 8 years

  1. Quantity 1 > Quantity 2

  2. Quantity 1 ≥ Quantity 2

  3. Quantity 2 > Quantity 1

  4. Quantity 2 ≥ Quantity 1

  5. Quantity 1 = Quantity 2 or Relation cannot be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let Ankit's age be x, so Anshu's is x+8. Ten years ago, (x-2)/(x-10) = 2/1, which gives x-2 = 2x-20, so x=18. Ankit is 18, Anshu is 26. Ankita's age is (18+26)/2 = 22. Quantity 1: 26+5 = 31. Quantity 2: 22+8 = 30. Thus, 31 > 30.

Multiple choice

Directions: The given question is followed by two statements A and B. You have to determine which statement(s) is/are sufficient/necessary to answer the question. What is the sum of the age of person D after 10 years and the age of person A after 5 years? A. The sum of the present ages of persons A and B is 60 years and the age of person C after 7 years will be 52 years. B. The total present age of persons A, B, C and D is 145 years and the present age of A is 5/7 of the present age of B.

  1. Statement A alone is sufficient to answer the question, but statement B alone is not sufficient to answer the question.

  2. Statement B alone is sufficient to answer the question, but statement A alone is not sufficient to answer the question.

  3. Both the statements taken together are necessary to answer the question, but neither of the statements alone is sufficient to answer the question.

  4. Either statement A or statement B by itself is sufficient to answer the question.

  5. Statements A and B taken together are not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement A gives info about A, B, and C. Statement B gives info about A, B, C, D and the ratio of A to B. Neither alone provides enough info to find the specific ages of D and A, but together they provide enough equations to solve for the variables.

Multiple choice

Directions: The question below is followed by two statements A and B. You are to determine whether the data given in the statements is sufficient for answering the question. (You should use the data and your knowledge of mathematics to choose the possible answer.) The ages of Shruti and Aditi are in the ratio 14 : 11. What is the age of Shruti? (A) After 6 years, the ratio of Shruti's and Aditi's ages will be 17 : 14. (B) The ages of Aditi and Tulika are in the ratio 11 : 6.

  1. Statement (A) alone is sufficient to answer the question, but statement (B) alone is not sufficient.

  2. Statement (B) alone is sufficient to answer the question, but statement (A) alone is not sufficient.

  3. Both statements (A) and (B) together are needed to answer the question.

  4. Either statement (A) alone or statement (B) alone is sufficient to answer the question.

  5. Statements (A) and (B) together are not sufficient.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let Shruti's age be 14x and Aditi's be 11x. Statement A: (14x+6)/(11x+6) = 17/14. This is one equation with one variable x, so it is sufficient to find x and thus Shruti's age. Statement B: Aditi and Tulika ratio does not involve Shruti's age directly or provide a fixed value, so it is insufficient.

Multiple choice

Directions: The question below is followed by two statements A and B. You are to determine whether the data given in the statements is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answer. The ages of Neera and Shalu are in the ratio of 2 : 1. What is the age of Shalu? (A) The ages of Shalu and Sugandha are in the ratio of 2 : 1. (B) After 4 years, the ratio of Neera's and Shalu's ages will be 3 : 2.

  1. If statement (A) alone is sufficient to answer the question, but statement B alone is not sufficient

  2. If statement (B) alone is sufficient to answer the question, but statement A alone is not sufficient

  3. If both statements (A) and (B) together are needed to answer the question

  4. If either statement (A) alone or statement (B) alone is sufficient to answer the question

  5. If you cannot get the answer from statements (A) and (B) together, but need even more data
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Neera be 2x and Shalu be x. Statement B says (2x+4)/(x+4) = 3/2. Solving this: 4x + 8 = 3x + 12, so x = 4. Shalu's age is 4. Statement A only relates Shalu to Sugandha, which does not help find Shalu's age.

Multiple choice

Direction: The following question has two statements, (1) and (2). Answer the question using the following options: What is the average age of the four brothers, if their ages are in arithmetic progression? (1) The average age of the eldest and the youngest brothers is 21 years. (2) The second brother is 24 years old and the third brother is 18 years old.

  1. if statement (1) alone is sufficient but statement (2) alone is not

  2. if statement (2) alone is sufficient but statement (1) alone is not

  3. if both (1) and (2) together are sufficient but none of them alone is sufficient

  4. if both independently are sufficient

  5. if both statements (1) and (2) together are not sufficient
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

In an AP, the average of the four terms is the average of the two middle terms or the average of the first and last terms. Statement (1) gives the average of the first and last, which is the average of the four. Statement (2) gives the two middle terms, allowing calculation of their average.

Multiple choice

What will be the sum of father's age and son's age after 5 years? (I) Father's present age is twice the son's present age. (II) After 10 years, the ratio between father's age and son's age will be 12 : 7 (III) 5 years ago, the difference between the father's age and son's age was equal to son's present age.

  1. Only I and II

  2. Only II and III

  3. Any two

  4. Only I and III

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

Let son's present age = S. From I: F = 2S. From II: (F+10)/(S+10) = 12/7, cross-multiply: 7F + 70 = 12S + 120. From III: (F-5) - (S-5) = S, so F - S = S, F = 2S. I and III give same info. Using II with either I or III: 7(2S) + 70 = 12S + 120, 14S + 70 = 12S + 120, 2S = 50, S = 25, F = 50. After 5 years: F+5 + S+5 = 55 + 30 = 85. Any two statements work since I and III are equivalent.