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

Rahul is 6 years older than his sister and four times as old as his brother. If the brother becomes 25 years old after 5 years then what is the present age of Rahul? / राहुल अपनी बहन से 6 साल बड़ा है और अपने भाई की उम्र का चार गुना है। यदि भाई 5 साल बाद 25 साल का हो जाता है, तो राहुल की वर्तमान उम्र क्या है?

  1. 74 years/साल

  2. 69 years/साल

  3. 64 years/साल

  4. 80 years/साल
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Brother's present age = 25-5 = 20. Rahul = 4 × 20 = 80 years. Sister = 80-6 = 74 years. Rahul is 80 years old currently.

Multiple choice

The age of a family of four members are in the proportion 20:19 11:10 and six years hence their ages will be in the proportion of 22:21:13:12. What was the ratio of the ages of the second oldest among members and the second youngest amog the members when the youngest of them was born ? एक परिवार के चार सदस्यों की आयु 20 : 19 : 11 : 10 के समानुपात में है और अब से 6 वर्ष बाद उनकी आयुओं में अनुपात 22 : 21 : 13 : 12 हो जायेगा। सदस्यों में दूसरे सबसे बड़े और दूसरे सबसे छोटे सदस्य की आयु में क्या अनुपात था जब उन सदस्यों में सबसे छोटे सदस्य का जन्म हुआ था।

  1. 2 : 9

  2. 9 : 2

  3. 1 : 9

  4. 9 : 1
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let current ages be 20x, 19x, 11x, 10x. After 6 years: 20x+6, 19x+6, 11x+6, 10x+6 are in ratio 22:21:13:12. Checking: (20x+6)/22 = (19x+6)/21 gives x=2. Current ages: 40, 38, 22, 20. When youngest (10x=20) was born (20 years ago), ages were: 20, 18, 2, 0. Second oldest (18) : Second youngest (2) = 9:1.

Multiple choice

The average of present ages of five persons is 29.2. Among them, the sum of the present age of a girl and brother including her teacher is 11 years more than the average of the present ages of her parents. Find the sum of the present age of the girl and her teacher if it is given that her brother will be of 22 years after 5 years.

  1. 40 years

  2. 41 years

  3. 39 years

  4. 45 years

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total age of 5 persons = 5 × 29.2 = 146 years. Brother's current age = 22 - 5 = 17 years. Given: girl + brother + teacher = parents' average + 11. Parents' average = (146 - girl - brother - teacher)/2. So girl + 17 + teacher = (146 - girl - 17 - teacher)/2 + 11. Let g = girl + teacher. Then g + 17 = (129 - g)/2 + 11, so 2g + 34 = 129 - g + 22, giving 3g = 117, so g = 39.

Multiple choice

The ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person? दो व्यक्तियों की आयु में 16 वर्ष का अन्तर है । 6 वर्ष पहले, अधिक आयु वाला कम आयु वाले का 3 गुना था । उनमें अधिक आयु वाले व्यक्ति की वर्तमान आयु क्या है?

  1. 15 years/वर्ष

  2. 20 years/वर्ष

  3. 25 years/वर्ष

  4. 30 years/वर्ष
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let present ages be x and (x - 16) for elder and younger. 6 years ago: (x - 6) = 3[(x - 16) - 6]. So x - 6 = 3(x - 22), x - 6 = 3x - 66, 60 = 2x, x = 30. Elder's present age is 30 years. The claimed answer D is correct.

Multiple choice

The ratio of present age of A, B and C is 4 : 5 : 6. If the product of age of A and C is 36 more than product of age of A and B. What is the age of C at present. A, B और C की वर्तमान आयु का अनुपात 4 : 5 : 6 है यदि A और C की आयु का गुणनफल A तथा B के आयु के गुणनफल से 36 अधिक है तो C की वर्तमान आयु ज्ञात कीजिये।

  1. 30 years/वर्ष

  2. 33 years/वर्ष

  3. 15 years/वर्ष

  4. 18 years/वर्ष
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let ages be 4k, 5k, 6k. Given: (A × C) = (A × B) + 36. So 4k × 6k = 4k × 5k + 36. 24k² = 20k² + 36. 4k² = 36. k² = 9. k = 3. C's age = 6k = 6 × 3 = 18 years. Option A (30) would be if k=5. Option B (33) doesn't fit the ratio. Option C (15) would be if k=2.5.

Multiple choice

Madhu’s age is four times the sum of the ages of her two children. After 18 years her age will be twice that of the sum of the ages of her two children. What is Madhu’s present age? मधु की आयु उसके दो बच्चों की आयु की चार गुनी है । 18 वर्ष बाद, उसकी आयु उसके दोनों बच्चों की आयु के योग की दो गुनी हो जाएगी । मधु की वर्तमान आयु क्या है?

  1. 18

  2. 36

  3. 54

  4. 56
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let sum of children's ages = S. Madhu's age = 4S. After 18 years: 4S + 18 = 2(S + 36) = 2S + 72. So 2S = 54, S = 27. Madhu's age = 4 × 27 = 36 years. Set up the relationship between current and future ages, then solve the linear equation.

Multiple choice

There is a gap of 6 years in the sum of the age of the mother and the age of her two daughters. The average age of both daughters is 22 years. What is the age of the mother?

  1. 40 years

  2. 44 years

  3. 46 years

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

The wording is ambiguous. If there's a 6-year gap between the sum of daughters' ages (44) and mother's age, then mother = 50. However, 'gap of 6 years in the sum' could also mean something else. Given the options, 50 years (D) is the only answer that creates a 6-year difference with the daughters' sum (44). The question likely intends: mother's age - sum of daughters' ages = 6.

Multiple choice

7 year ago the ratio of age (in year) of A and B was 4 : 5 and after 7 year this ratio become 5 : 6 . Find the present age of B?

  1. 56 year

  2. 63 year

  3. 70 year

  4. 77 year
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let present ages of A and B be x and y. 7 years ago: (x-7)/(y-7) = 4/5. After 7 years: (x+7)/(y+7) = 5/6. Solving: 5(x-7) = 4(y-7) → 5x-35 = 4y-28 → 5x-4y = 7. Also 6(x+7) = 5(y+7) → 6x+42 = 5y+35 → 6x-5y = -7. Solving gives y = 77 years present. Option D is correct.

Multiple choice

The ratio of the age of a man and his son is 5: 1. After 10 years, their ages will be in the ratio 3: 1. What is the father's present age? एक व्यक्ति और उसके पुत्र की वर्तमान आयु में अनुपात 5: 1 है | 10 वर्ष बाद, उनकी आयु में अनुपात 3: 1 हो जाएगा | पिता की वर्तमान आयु क्या है ?

  1. 25 years/वर्ष

  2. 30 years/वर्ष

  3. 40 years/वर्ष

  4. 50 years/वर्ष
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let ages be 5x and x. After 10 years: (5x+10)/(x+10) = 3/1. Solving: 5x+10 = 3x+30, so 2x = 20, x = 10. Father's present age = 5x = 50 years. This is a classic age ratio problem.

Multiple choice

Jayant was 3 times as old as Puneet 8 years ago. He would be 2 times as old as Puneet 8 years from now. Four years ago, what was the ratio of Jayant's age to that of Puneet's age?

  1. 11: 3

  2. 13: 5

  3. 11: 5

  4. 5: 13
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Jayant = J, Puneet = P. 8 years ago: J - 8 = 3(P - 8). 8 years from now: J + 8 = 2(P + 8). From first: J = 3P - 16. Substituting in second: 3P - 16 + 8 = 2P + 16, giving P = 24 and J = 56. 4 years ago: J = 52, P = 20. Ratio = 52:20 = 13:5.

Multiple choice

The age of a father is four times that of his son. After 18 years, his age will be only three times his son's age. What is the present age of the son?

  1. 25

  2. 30

  3. 20

  4. 18
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

माना बेटे की वर्तमान आयु x वर्ष है, तो पिता की आयु 4x वर्ष है। 18 वर्ष बाद: बेटा = x+18, पिता = 4x+18। दूसरी शर्त से: 4x+18 = 3(x+18)। हल करने पर: 4x+18 = 3x+54, इसलिए x = 18। बेटे की वर्तमान आयु 18 वर्ष है। जांच: पिता = 72, 18 वर्ष बाद बेटा = 36, पिता = 90, और 90 = 3×36 सही है।

Multiple choice

The average age of A and B is 20 years. If C were to replace A, the average would be 19 and if C were to replace B, the average would be 21, what are the ratio of ages of A, B and C?

  1. 6 : 5 : 7

  2. 9 : 7 : 3

  3. 13 : 7 : 11

  4. 11 : 9 : 10
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let ages be A, B, C. (A+B)/2 = 20, so A+B = 40. (C+B)/2 = 19, so C+B = 38. (A+C)/2 = 21, so A+C = 42. From A+B=40 and C+B=38, subtracting: (A+B)-(C+B)=40-38, so A-C=2, or A=C+2. From A+C=42 and A=C+2: (C+2)+C=42, so 2C=40, C=20. Then A=22. From A+B=40: 22+B=40, B=18. So A:B:C = 22:18:20 = 11:9:10. Option D is correct.

Multiple choice

Sandeep is four years older than Ramu at present. After four years the ratio of their ages will be 4 : 3. What is Ramu's age at present?

  1. 12 years

  2. 9 years

  3. 8 years

  4. 15 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Ramu's present age be x. Sandeep is x + 4. After 4 years: Ramu = x + 4, Sandeep = x + 8. Given ratio (x + 8)/(x + 4) = 4/3. Cross-multiplying: 3x + 24 = 4x + 16, so x = 8. Ramu's present age is 8 years, which matches the claimed answer C. Sandeep is 12 years now, and after 4 years they'll be 12 and 16 respectively, maintaining the 4:3 ratio.