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

Directions : In each of the following questions, a question is followed by two statements numbered I and II. Read both the statements and answer accordingly. The sum of present ages of Rahul, Mahesh, Swati and Shruti is 96 years. What is Mahesh’s present age? I. The average age of Rahul, Mahesh and Shruti is 35 yr. II. The average age of Swati and Shruti is 42 yr.

  1. Only I

  2. Only II

  3. Either I or II

  4. Neither I nor II

  5. Both I and II
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

From given: R+M+S+Sh = 96. Statement I: R+M+Sh = 105, which alone gives M = 96-105 = -9 (invalid). Statement II: S+Sh = 84. Even combining, we have R+M = 12 but cannot find M uniquely.

Multiple choice

Father is aged three times more than his daughter Neha. After 8 years, he would be two and a half times of Neha’s age. After further 8 years, how many times would he be of Neha’s age?

  1. 4

  2. 2

  3. 2.5

  4. 3

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

Let Neha's current age = x. Father = 3x + x = 4x. After 8 years: (4x+8) = 2.5(x+8), so 4x+8 = 2.5x+20, giving 1.5x = 12, x = 8. Father is 32, Neha is 8. After 16 years total: Father = 48, Neha = 24. 48/24 = 2 times.

Multiple choice

What is the ratio between the present age of son and father? I. The ratio between the son's age after 5 years and father's age 10 years ago is 2 : 3 respectively. II. Twice the present age of son and father is 95 years.

  1. Only I

  2. Only II

  3. Both I and II

  4. Neither I nor II

  5. Either I or II
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Data sufficiency problem about ages. Let son's present age = x, father's present age = y. Statement I: (x+5)/(y-10) = 2/3, which gives 3(x+5) = 2(y-10), so 3x + 15 = 2y - 20, or 3x - 2y = -35. Statement II: 2x + 2y = 95 (interpreted as twice the sum of ages, which equals 95), so x + y = 47.5. Solving: from II, y = 47.5 - x. Substituting in I: 3x - 2(47.5 - x) = -35, giving 3x - 95 + 2x = -35, so 5x = 60, x = 12. Then y = 35. The ratio x:y = 12:35. Both statements are necessary.

Multiple choice

The ratio of ages of two persons is 5 : 9 and the age of one of them is greater than the other by 40 years. The difference of their ages is- दो व्यक्तियों की आय में अनुपात 5 : 9 है और उनमें से एक की आयु दूसरे से 40 वर्ष अधिक है। उनकी आयु में अन्तर है-

  1. 180

  2. 140

  3. 150

  4. 160
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Given ages ratio 5:9 with difference 40 years. Let ages be 5x and 9x. Then 9x - 5x = 40, so 4x = 40, x = 10. Ages are 50 and 90. The question asks for sum of ages: 50 + 90 = 140. Note: The question wording is confusing - it says 'difference is 40' then asks for 'difference' but the answer 140 is the sum.

Multiple choice

6 years ago, the ratio of the ages of Kamal and Hasan was 6:5, Four years hence, the ratio of their ages will be 11:10. What is Kamal’s age at present?

  1. 15 वर्ष

  2. 18 वर्ष

  3. 19 वर्ष

  4. 23 वर्ष

  5. इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let Kamal's age 6 years ago = 6x, Hasan's = 5x. Present ages: Kamal = 6x + 6, Hasan = 5x + 6. Four years hence: Kamal = 6x + 10, Hasan = 5x + 10. Given ratio (6x + 10)/(5x + 10) = 11/10. Solving: 60x + 100 = 55x + 110, so 5x = 10, x = 2. Kamal's present age = 6(2) + 6 = 18 years. Option E (None of these) is correct since 18 years is not listed in A-D.

Multiple choice

Directions : Each of the questions below consists of a question and two statements numbered I and II given below it.You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements. What is the average age of family ? I. 5 members are in the family. The ratio of age of childs is 5 : 4 : 2. II. The younger child is 40 year less than his father and 35 year less than his mother and the age of father is 50 year.

  1. Only I

  2. Only II

  3. Both I and II

  4. Neither I nor II

  5. Either I or II
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I only gives family size (5) and child age ratio (5:4:2), which is insufficient to find average age. Statement II gives father's age (50), younger child is 40 less than father (so child is 10) and 35 less than mother (so mother is 45). However, we don't know family size from II alone. Combining both: Family = 5, father = 50, mother = 45, younger child = 10. With child ratio 5:4:2 and youngest = 10, we get ages as 25, 20, 10. Total = 50+45+25+20+10 = 150, average = 150/5 = 30.

Multiple choice

Ramesh is 3 times as old as his brother. Ramesh’s father is 3 times older than Ramesh. In 9 years , Ramesh will be 1.5 times the age of his brother. What will be the age of Ramesh’s father when Ramesh is 1.5 times the age of his brother?

  1. 27

  2. 36

  3. 45

  4. 54

  5. 63
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let brother = x. Ramesh = 3x. In 9 years: 3x+9 = 1.5(x+9), so x = 4.5. Current ages: brother = 4.5, Ramesh = 13.5. Father = 13.5 * 4 = 54 (3 times older means 4x). In 9 years, father = 63. Option E is correct.

Multiple choice

Anushika says to Shagun, "I am 3 times as old as you were 3 years ago". How old is Anushika? I. Shagun’s age 17 years from now is the same as Anushika’s present age. II. Anushika’s age nine years from now is 3 times Shagun’s present age.

  1. Only I

  2. Only II

  3. Both I and II

  4. Neither I nor II

  5. Either I or II
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Data sufficiency about ages. Let S = Shagun's present age, A = Anushika's present age. From question: A = 3(S-3), so A = 3S - 9. Statement I: Shagun's age 17 years from now equals Anushika's present age: S + 17 = A. Combining with A = 3S - 9 gives S + 17 = 3S - 9, solving gives 2S = 26, S = 13, then A = 30. Statement I alone is sufficient. Statement II: Anushika's age 9 years from now is 3 times Shagun's present age: A + 9 = 3S. Substituting A = 3S - 9 gives 3S - 9 + 9 = 3S, which simplifies to 3S = 3S - an identity giving no unique solution. Statement II alone is insufficient. Therefore Only I is correct.

Multiple choice

A year ago, the ratio between Ravi and Raj's age was 3: 4 and the ratio between Raj and Rahul was 7: 8. If after 5 years, the difference between the age of Rahul and Ravi is 11 years, then find the ratio between Ravi's age 10 years ago and Rahul age after 12 years.

  1. 2 : 3

  2. 3 : 2

  3. 4 : 15

  4. 9 : 4

  5. 4 : 11
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

1 year ago: Ravi:Raj = 3:4, Raj:Rahul = 7:8. Making Raj equal: Ravi:Raj:Rahul = 21:28:32. Let their ages 1 year ago be 21k, 28k, 32k. Current ages: 21k+1, 28k+1, 32k+1. After 5 years: Ravi=21k+6, Rahul=32k+6. Difference: (32k+6)-(21k+6) = 11k = 11, so k=1. Ravi 10 years ago: 21k+1-10 = 21+1-10 = 12. Rahul after 12 years: 32k+1+12 = 32+1+12 = 45. Ratio = 12:45 = 4:15.

Multiple choice

Age of A is 4 times of B. B is 1/3 times of C. If the ratio of age of A and C become 13 :11 after 10 year then find the age of B after 8 year./A की आयु B की आयु का 4 गुना है । B, C की आयु का 1/3 गुना है। 10 वर्ष बाद A और C की आयु का अनुपात 13 : 11 हो जाता है तो B की 8 वर्ष बाद आयु ज्ञात कीजिए।

  1. 16

  2. 12

  3. 28

  4. 24
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial: A = 4B, B = C/3, so C = 3B और A = 4B। 10 years बाद: (A+10)/(C+10) = 13/11। (4B+10)/(3B+10) = 13/11। Cross multiply: 11(4B+10) = 13(3B+10), 44B+110 = 39B+130, 5B = 20, B = 4। B की 8 years बाद आयु = 4+8 = 12 years।

Multiple choice

Find the present age of Bhanu. Statement I: 6 years ago ratio of age of Chirag and Bhanu was 3:4. Statement II: Difference of age of Chirag and Dinesh is 8 years. Statement III: Dinesh is 2 years elder to Bhanu.

  1. Any two

  2. I and II

  3. I and III

  4. All three together are not sufficient

  5. All three together are sufficient
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I: (C-6):(B-6) = 3:4 gives 4C - 3B = 6. Statement II: C - D = 8. Statement III: D = B + 2. Substituting D from III into II: C - (B+2) = 8, so C = B + 10. Then 4(B+10) - 3B = 6 gives B = -34, which is impossible (negative age). The equations are mathematically inconsistent, meaning the data cannot yield a valid solution. All three together are insufficient.

Multiple choice

7 years ago age of A was 2.5 times age of B. One year hence age of A will be only 1.5 times of the age of B. Find the ratio of age of A & B four year hence.

  1. 2 : 3

  2. 8 : 5

  3. 5 : 7

  4. 7 : 3

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

Let A's and B's current ages be a and b. Seven years ago: a-7 = 2.5(b-7). One year hence: a+1 = 1.5(b+1). Solving: a - 7 = 2.5b - 17.5 gives a = 2.5b - 10.5. Substituting: 2.5b - 10.5 + 1 = 1.5b + 1.5, so b = 6 and a = 4.5. Four years hence: a+4 : b+4 = 8.5 : 10 = 17:20. This is not in options A-D, so 'None of these' (E) is correct.

Multiple choice

Find the average age of a 4 member family. Statement I-Ragini is sister of Shyam and difference of their age is 4 years. Statement II –Ragini’s father is 8 years elder to her mother. Statement III- Ratio of age of Shyam’s father and mother is 6:5.

  1. Any two

  2. I and II or III

  3. II and I or III

  4. All three together are sufficient.

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

We need ages of all 4 family members to calculate average. Statement I gives sibling age difference, Statement II gives parent age difference, Statement III gives parent age ratio. None provide absolute ages or allow solving all 4 ages.

Multiple choice

Age of P is 4 times of Q . Q is (\frac{1}{3}) times of R. If the ratio of age of P and R become 13 : 11 after 20 year. Then find the age of Q after 4 year.

  1. 24

  2. 32

  3. 8

  4. 12

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

Let P = 4Q and Q = R/3, so P = 4R/3. After 20 years: (P+20)/(R+20) = 13/11. Substituting P = 4R/3: (4R/3 + 20)/(R + 20) = 13/11. Cross-multiplying: 11(4R/3 + 20) = 13(R + 20). This gives 44R/3 + 220 = 13R + 260. Multiplying by 3: 44R + 660 = 39R + 780. Solving: 5R = 120, so R = 24. Then Q = R/3 = 8. Q's age after 4 years = 8 + 4 = 12.