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 question given below contains two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? What is Vishal's present age? I. Vivek's age is 10 years more than Vishal's age. II. Vivek's present age is 25 years and 5 years ago, the ratio of their ages was 2:1 respectively.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statement together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

From statement II: Vivek's present age is 25. Five years ago, Vivek was 20, and the ratio of Vivek:Vishal was 2:1, so Vishal was 10 five years ago. Therefore, Vishal's present age is 15. Statement I only gives a relationship without actual values. Statement II alone is sufficient to find Vishal's age, so both statements together are sufficient but statement II alone is also sufficient.

Multiple choice

In each of the following questions, a question is followed by three statements numbered I, II and III. Read all the statements and find which information is/are necessary to answer. The ratio between the present ages of the Rohit and Rina is 1 : 3. Find the present age of the Rina. statement I: Difference between the present ages of the Pooja and Rohit is 22 years. statement II: The present age of Pooja is 4 years less than thrice the present age of Rohit. statement III: Difference between the present ages of the Rina and Rohit is 26 years.

  1. Only II

  2. All statements together are sufficient

  3. Only I and II

  4. (I and II) or III

  5. All statements together are not sufficient
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Rohit's age be x. Given Rohit:Rina = 1:3, so Rina = 3x. From Statement II: Pooja = 3x - 4. From Statement I: |Pooja - Rohit| = 22. Combining I and II: |(3x - 4) - x| = 22, so |2x - 4| = 22, giving 2x - 4 = 22 (positive since ages are positive), thus 2x = 26 and x = 13, so Rina = 39. Statement III directly gives 3x - x = 26, so 2x = 26 and Rina = 39. Both paths give the same answer, so D is correct.

Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? What is the difference between the ages of Ansu and Minsu? (I) The ratio of their ages is 3 : 4 (II) 3 years hence the sum of their ages will be 38 years

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statements together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Statement I gives ratio 3:4 but not actual ages. Statement II gives sum after 3 years = 38, meaning current sum = 38-6 = 32. Combining both: if ages are 3x and 4x, then 7x = 32, giving ages ≈ 13.7 and 17.3, difference ≈ 3.6 years. Both statements together are sufficient.

Multiple choice

In each of the following questions, a question is followed by two statements numbered I and II. Read both the statements and answer accordingly. What will be the age of Ruchi after 6 years? Statement I : Ratio of the present age of Shivam and Ruchi is 2 : 3. Statement II : Twelve times the Present age of Shivam equals eight times the present age of Ruchi.

  1. If the data in statement I alone is sufficient to answer the question.

  2. If the data in statement II alone is sufficient to answer the question.

  3. If the data either in statement I alone or statement II alone are sufficient to answer the question.

  4. If the data given in both I and II together are not sufficient to answer the question.

  5. If the data in both the statements I and II together are necessary to answer the question.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I gives the ratio of ages as 2:3. Statement II says 12S = 8R, which simplifies to 3S = 2R or S:R = 2:3 - the same ratio as statement I. Both statements provide the same proportional information but neither gives an absolute age value. With only ratios, there are infinitely many possible ages that satisfy the conditions (e.g., Shivam=20, Ruchi=30 or Shivam=24, Ruchi=36). Therefore, even together, the statements are insufficient.

Multiple choice

Given question is followed by information given in two statement named as Quantity I, and Quantity II. You have to study the information along with the question and compare the value derived from Quantity I and Quantity II then answer the question. Quantity I: Sum of present age of C and D? Average of age of A, B, C and D four year ago was 19 years and the ratio of their ages, eight years hence will be 18:16:17:11 respectively. Quantity II: Ram’s son age Ram’s age 2 years ago was five times his daughter’s present age. Ram’s son was born two years after his daughter and ratio between Ram’s present age and Ram’s daughter age 2 year hence will be 4:1

  1. Quantity II > Quantity I

  2. Quantity I ≥ Quantity II

  3. Quantity I > Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or relationship cannot be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Quantity I: C and D's present ages sum to 40. Quantity II: Ram's present age is 32. Thus Quantity I (40) > Quantity II (32). The age ratio problem is solved by setting up equations from the given ratios and time relationships.

Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? What is the present age of mother and daughter? I.(M + D = 70). 5 years ago mother's age was thrice the daughter's age. II. The difference between the ages of mother and daughter is 30 years. After 10 years mother's age will be thrice the daughter's age.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statements I and II together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I: M + D = 70. 5 years ago: (M-5) = 3(D-5). Two equations, two variables - solvable. Statement II: M - D = 30. After 10 years: (M+10) = 3(D+10). Two equations, two variables - solvable. Since each statement alone is sufficient to find both ages, answer C is correct.

Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? What was the ratio between the ages of P and Q four years ago? (I) The ratio between the present ages of P and Q is 3 : 4. (II) The ratio between the present ages of Q and R is 4 : 5.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statements together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I gives P:Q = 3:4 currently, so 4 years ago P-4:Q-4 could be anything. Statement II gives Q:R = 4:5, but introduces R (irrelevant to P:Q ratio). Even together, we don't know actual ages—only ratios. Without actual ages or sum, we cannot determine the ratio 4 years ago.

Multiple choice

In the following questions, Quantity I and Quantity II are given. You have to solve both them and give answer. Quantity I: The ratio of amrit to amrita age is 7: 5 and the sum of their ages is 72. Then find the total ages after 12 years? Quantity II: The average age of the whole class is 12.05 years. The average age of the girls is 12.5 years and the average age of 45 boys is 11.75 years. Then find the total number girls in the class?

  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 the relation cannot be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity I: Ratio 7:5, sum 72. So 7x + 5x = 72, 12x = 72, x = 6. Amrit = 42, Amrita = 30. After 12 years: 42+12 = 54, 30+12 = 42. Total = 54+42 = 96. Quantity II: Class average 12.05 with 45 boys avg 11.75 and girls avg 12.5. Let g = number of girls. Total average = (45×11.75 + g×12.5)/(45+g) = 12.05. Solving: 528.75 + 12.5g = 542.25 + 12.05g. 0.45g = 13.5, g = 30. So 30 girls. Comparing: Quantity I = 96, Quantity II = 30. Therefore Quantity I > Quantity II.

Multiple choice

Find the correct relationship between given quantities. Quantity I: Present age of Zenith, if Age of Zenith is thrice of his son, 6 years ago he was four times of his son’s age. Quantity II: Present age of Zeshan, if ratio of himself's age and his wife's age was 17 : 15 at the time of marriage. Their son is 6 years old, who was born after two years of marriage. 2 years from now ratio age Zeshan’s wife and his son will be 5:1.

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

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

For Quantity I: Let son's age 6 years ago be x. Then Zenith's age was 4x. Currently, son is (x+6) and Zenith is thrice that, so 4x+6 = 3(x+6). Solving gives x=12, so son is 18 and Zenith is 54. For Quantity II: Marriage was 6+2=8 years ago. At marriage, ages were 17k and 15k. Now wife is 15k+8, son is 6. In 2 years, wife will be 15k+10 and son will be 8. Given (15k+10)/8 = 5/1, solving gives k=2, so Zeshan is now 34+8=42. Comparing: 54 > 42, so Quantity I is greater.

Multiple choice

In the following question, two Quantity I and Quantity II are given. You have to solve both the Quantities and give answer. Quantity I: 5 year ago the of ages of Rita and Priya was 5 :2 , after 7 year the ratio of their age will be 3:2 , then find the age of Rita after 10 year ? Quantity II: today a father’s age is twice than his son’s age , after 6 year the ratio of their ages will become 23:13 then find the fathers age after 6 year ?

  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 Relation cannot be establish
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity I: 5 years ago, Rita:Priya = 5:2, so (R-5):(P-5) = 5:2. After 7 years from now, (R+7):(P+7) = 3:2. From first equation: 2(R-5) = 5(P-5), 2R-10 = 5P-25, 2R = 5P-15. From second: 2(R+7) = 3(P+7), 2R+14 = 3P+21, 2R = 3P+7. Equating: 5P-15 = 3P+7, 2P = 22, P = 11. So 2R = 3(11)+7 = 40, R = 20. Rita after 10 years = 20+10 = 30. Quantity II: Father = 2×Son. After 6 years: (F+6):(S+6) = 23:13. F = 2S, so (2S+6):(S+6) = 23:13. 13(2S+6) = 23(S+6), 26S+78 = 23S+138, 3S = 60, S = 20. Father = 2×20 = 40. Father after 6 years = 46. Since 30 < 46, Quantity I < Quantity II.

Multiple choice

In the following questions, two equations Quantity I and Quantity II are given. You have to solve both the equations and give answer. Quantity I: The ratio of ages of two friends P and Q is 5:7 and the ratio of age of P before 4 year and the age of Q after 10 year is 1:2,then find the present age of P? Quantity II: The ratio of age the present age of P and Q is 5:8 and the ratio of their ages will become 2:3 after 7 year, then find present age of P?

  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 the relation cannot be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For Quantity I: Let P=5x, Q=7x. Given (P-4)/(Q+10)=1/2, substituting gives (5x-4)/(7x+10)=1/2. Solving: 10x-8=7x+10, so x=6 and P=30. For Quantity II: Let P=5y, Q=8y. Given (P+7)/(Q+7)=2/3, substituting gives (5y+7)/(8y+7)=2/3. Solving: 15y+21=16y+14, so y=7 and P=35. Since 30 < 35, Quantity I is less than Quantity II.

Multiple choice

In these questions, a question is given followed by information in three statements consider the information in all the three statements and decide the information in which statement(s) is not necessarily required, to answer the question and therefore can be dispensed with. Indicate your answer accordingly. What is Suchitra’s present age ? I. Suchitra’s present age is double the age of her son. II. Ratio between present ages of Suchitra and her mother is 2 :.3 respectively III. Four years hence the ratio between Suchitra’s age and her son’s age will be 24: 13 respectively.

  1. Only II

  2. Only III

  3. Either I or II only

  4. Either II or III only

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

Statement I gives S = 2x (son's age x). Statement III gives (S+4)/(x+4) = 24/13, which with I becomes (2x+4)/(x+4) = 24/13, solvable for x. Statement II (Suchitra:mother = 2:3) is irrelevant to finding Suchitra's age alone. Only II can be dispensed with. The claimed answer A (Only II) is correct.

Multiple choice

In each of the following questions (quantity) two questions are given. Solve these questions and give answer: The average of the ages of A, B and C at present is 28 years. 7 years ago the ratio of ages of A and C was 1 : 4 and the age of B was 90% more than the age of C. I. After 8 years the age of C will be what percentage of the present age of A? II. After 8 years the age of A will be what percentage of the present age of B?

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

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

First find present ages: average 28 means A + B + C = 84. From 7 years ago: ratio A:C = 1:4 gives C = 4A - 21. B-7 = 1.9(C-7) so B = 1.9C - 6.3. Substituting C in terms of A and solving: A + (1.9(4A - 21) - 6.3) + (4A - 21) = 84 gives A = 25, C = 79, B = 143... wait that doesn't work. Let me redo: C = 4A - 21, B = 1.9(4A - 21) - 6.3 + 7 = 1.9(4A - 28) + 0.7 = 7.6A - 52.6. Then A + (7.6A - 52.6) + (4A - 21) = 84 means 12.6A = 157.6, A = 12.5, C = 29, B = 42.5. Quantity I: after 8 years C = 37, present A = 12.5, percentage = 37/12.5 × 100 = 296%. Quantity II: after 8 years A = 20.5, present B = 42.5, percentage = 20.5/42.5 × 100 = 48.2%. So Quantity I > Quantity II.

Multiple choice

For each of the following questions two statements are given . Use the data of those statements and then determine which of the following statements is necessary to answer the question . What is the present age of A? Statement I: The ratio of the present age of A and B is 2:3. After 10 years the ratio of the ages of B and C will be 2:1. Statement II: 5 years ago the average age of A, B and C was 11 years and after 3 years the average age of B and C will be 18 years.

  1. Statement I alone is sufficient to answer the question

  2. Statement II alone is sufficient to answer the question

  3. Either Statement I or statement II is sufficient to answer the question

  4. Neither Statement I nor statement II is sufficient to answer the question

  5. Both Statements I and II together are necessary to answer the question
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

From Statement II: 5 years ago, average age of A,B,C was 11, so their total age was 33. Current total age = 33 + 15 = 48. After 3 years, average of B and C will be 18, so B+C = 36 in 3 years. Currently, B+C = 30. Therefore A = 48 - 30 = 18 years. Statement II alone is sufficient. Statement I only gives ratios but no absolute values.

Multiple choice

In a family there are 5 members, A, B, C, D and E. Find the present age of E. I. The average age of five family members is 36 years. II. The total age of A, B and E is 75 years. III. The present age of E is 12 years more than the age of D.

  1. The data in statements I alone is sufficient to answer the question, while the data in statement II and II is not sufficient to answer the question.

  2. The data in statements II alone is sufficient to answer the question, while the data in statement II and III is not sufficient to answer the question.

  3. The data in statements I and II together or in statement III alone is sufficient to answer the question.

  4. The data in all the statements I, II and III is not sufficient to answer the question.

  5. The data in all the statements I, II and III together is necessary to answer the question.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

From I: Total age = 5 × 36 = 180 years. From II: A + B + E = 75. From III: E = D + 12. We have 5 variables (A,B,C,D,E) but only 3 equations: A+B+C+D+E=180, A+B+E=75, E=D+12. From A+B+E=75 and total=180, we get C+D=105. With E=D+12, we still can't find E's value uniquely without more information. Data is insufficient.