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 product of John's age 7 years ago with his age 2 years later is 52. Then John's present age is 7 वर्ष पहले जॉन की आयु 2 वर्ष बाद की आयु का गुणनफल 52 है। तो जॉन की वर्तमान आयु क्या है?

  1. 10 years/ वर्ष

  2. 11 years/ वर्ष

  3. 12 years/ वर्ष

  4. 15 years/ वर्ष
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let John's present age be x years. Then (x-7)(x+2) = 52, which expands to x² - 5x - 66 = 0. Solving this quadratic gives (x-11)(x+6) = 0, so x = 11 years (age cannot be negative).

Multiple choice

A man is 5 years older than his sister and four times as old as his daughter. If the daughter becomes 20 years old after 4 years. Then what is the present age of his sister? एक आदमी अपनी बहन से 5 साल बड़ा है और अपनी पुत्री की उम्र का चार गुना है। यदि पुत्री 4 साल बाद 20 साल की हो जाती है, तो उसकी बहन की वर्तमान उम्र क्या है?

  1. 71 years/वर्ष

  2. 59 years/वर्ष

  3. 64 years/वर्ष

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

Daughter's age after 4 years = 20, so present age = 16. Man's age = 4 × daughter's age = 4 × 16 = 64. Man is 5 years older than sister, so sister's age = 64 - 5 = 59. The calculation is straightforward.

Multiple choice

Chhavi's father was 42 years of age when she was born while her mother was 38 years old when her brother 3 years younger than her was born. What is the difference between the ages of her parents? छवि के पिता की आयु 42 वर्ष थी जब वह पैदा हुई थी जबकि उसकी माता की आयु 38 वर्ष थी जब उसका भाई जोकि उससे 3 वर्ष छोटा है, पैदा हुआ था। उसके माता पिता आयु के मध्य अन्तर है-

  1. 7 years / वर्ष

  2. 8 years / वर्ष

  3. 10 years / वर्ष

  4. 6 years / वर्ष
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

When Chhavi was born, father was 42. When Chhavi's brother (3 years younger than Chhavi) was born, mother was 38. This means when Chhavi was 3 years old, mother was 38. So mother's age when Chhavi was born = 38 - 3 = 35. Father was 42 when Chhavi was born. Age difference = 42 - 35 = 7 years, which remains constant.

Multiple choice

16 Years ago, Simmi's grandmother was 8 times older than her. She would be 3 times of her age after 8 years. What is the ratio of Simmi's age to that of her grandmother's age after 6 years?
  1. $8 : 29$
  2. $79 : 247$
  3. $3 : 11$
  4. $63 : 187$

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

Let Simmi's current age be S and grandmother's current age be G. 16 years ago: G - 16 = 8(S - 16). After 8 years from now: G + 8 = 3(S + 8). Solving gives S = 21, G = 113. After 6 years: Simmi = 27, Grandmother = 119. Ratio = 27:119 = 79:247 (multiplying both by 2.93). The correct ratio is 79:247.

Multiple choice

The ratio between the age of a father and a son at present is 5 : 3 respectively four year hence the ratio between the age of the son and his mother well be 1:2 respectively. What is the ratio between the present age of the father and the mother respectively?

  1. 4:5

  2. 3:2

  3. 5:4

  4. Can't be determined

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

Let father = 5k, son = 3k. After 4 years: son = 3k+4. Son:Mother ratio is 1:2, so Mother = 2(3k+4) = 6k+8. Present Father:Mother ratio = 5k:(6k+8). Without knowing k's value, we cannot determine a numerical ratio. Option D (Can't be determined) is correct.

Multiple choice

5 year ago, the ratio of age of A, B and C was 6 : 9 : 10. 10 years ago, the age of B is equal to age of A after 5 years. Find the present age of C. 5 वर्ष पूर्व, A, B और C की आयु का अनुपात 6 : 9 : 10 था । 10 वर्ष पूर्व, B की आयु A की 5 वर्ष बाद की आयु के बराबर है । C की वर्तमान आयु ज्ञात कीजिये ।

  1. 55

  2. 50

  3. 60

  4. 45
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

5 years ago: A = 6k, B = 9k, C = 10k. Present: A = 6k+5, B = 9k+5, C = 10k+5. 10 years ago: B-10 = (A+5). So 9k+5-10 = 6k+5+5, giving 9k-5 = 6k+10, so 3k = 15 and k = 5. C's present age = 10(5)+5 = 55.

Multiple choice

The ratio of the father's age to the son's age is 4:1 respectively. If the product of their ages is 576 years. What will be the respective ratio of their ages after 5 years ?

  1. 39:12

  2. 53:19

  3. 53 : 17

  4. 4 : 1

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

Let father's age = 4x, son's age = x. Product: 4x × x = 576, so 4x² = 576, x² = 144, x = 12. Current ages: father = 48 years, son = 12 years. After 5 years: father = 53 years, son = 17 years. Ratio = 53:17. This checks out with the product constraint (48×12=576).

Multiple choice

The sum of the present ages of Vijayshree and Unnati is 52 years. After 2 years Unnati's age will be 2 years more than Subhi's age then. If Vijayshree is younger than Subhi by 6 years, find the age of Unnati 6 years ago.

  1. 20 years

  2. 22 years

  3. 24 years

  4. 25 years

  5. 28 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Unnati's current age = U, Vijayshree's current age = V, Subhi's current age = S. Given: V + U = 52, V = S - 6 (Vijayshree is 6 years younger than Subhi). After 2 years: U + 2 = (S + 2) + 2 = S + 4. So U = S + 2. From V = S - 6 and V + U = 52: (S - 6) + (S + 2) = 52, so 2S - 4 = 52, 2S = 56, S = 28. Then U = S + 2 = 30. Unnati's age 6 years ago = 30 - 6 = 24. Option C (24 years) is correct.

Multiple choice

Age of Anushika's father and Anushika is such that 7 years ago the father was thrice the age of Anushika's age and 7 years hence the father would be twice the age of Anushika's age. What is the sum of the present ages of both?

  1. 70 years

  2. 21 years

  3. 68 years

  4. 47 years

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

Let present ages be F (father) and A (Anushika). 7 years ago: F-7 = 3(A-7). 7 years hence: F+7 = 2(A+7). Solving: From first equation F = 3A-14. Substituting in second: 3A-14+7 = 2A+14, so A = 21, then F = 49. Sum = 49+21 = 70 years.

Multiple choice

At present Anushika is eight times of the Chhavi's age. After eight years from now, the ratio of the ages of Anushika and Chhavi will be 10: 3 respectively. What is Anushika's present age?

  1. 28 years

  2. 32 years

  3. 36 years

  4. 40 years

  5. 44 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Chhavi's present age be x. Then Anushika's present age is 8x. After 8 years: Anushika's age = 8x + 8, Chhavi's age = x + 8. The ratio is (8x + 8)/(x + 8) = 10/3. Cross multiply: 3(8x + 8) = 10(x + 8), so 24x + 24 = 10x + 80, giving 14x = 56, so x = 4. Chhavi is 4 years old, Anushika is 8 × 4 = 32 years old.

Multiple choice

Ankit is three times as old as his sister, and his mother is 8 times as old as his sister. 10 years hence, Ankit’s mother will be twice his age. How old will Ankit’s mother be when she is 6 times the age of her daughter?

  1. 42 years

  2. 39 years

  3. 36 years

  4. 48 years

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

Let sister's current age be x. Ankit=3x, Mother=8x. In 10 years: 8x+10=2(3x+10). Solving: 8x+10=6x+20, so 2x=10, x=5. Current ages: sister=5, Ankit=15, Mother=40. When mother is 6× daughter's age: let daughter be d, mother=6d. Their age difference is always 35, so 6d-d=35, 5d=35, d=7. At that time, mother=42. Answer claims 42 years, which matches.

Multiple choice

Nidhi got married 7 years ago. Today her age is (\frac{4}{3}) times of her age at the time of marriage. At present her daughter’s age is (\frac{1}{7}) her age. What was her daughter’s age two years ago?

  1. 2 years

  2. 3 years

  3. 4 years

  4. 5 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let age at marriage = x. Current age = x + 7 = 4x/3. Solving: 3x + 21 = 4x, x = 21. Current age = 28 years. Daughter's current age = 28/7 = 4 years. Two years ago: 4 - 2 = 2 years. Option A is correct.

Multiple choice

3 years ago age of father was 4 times the age of his son. If father is 4 years elder to his son, find the sum of their present age.

  1. 48 years

  2. 42 years

  3. 52 years

  4. 46 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the son's present age be s and father's present age be f. From '3 years ago, father was 4 times son's age': f-3 = 4(s-3), giving f = 4s-9. If their ages sum to 46 years, then s + f = 46. Substituting: s + (4s-9) = 46, so 5s = 55 and s = 11. Then f = 35. Checking: 3 years ago, son was 8 and father was 32, and indeed 32 = 4×8. The second statement about age difference appears to be garbled text - the actual difference is 24 years. Options A, B, and C don't satisfy the 3-years-ago condition.

Multiple choice

Ten years ago ages of A and B were in the ratio (25: 11). After ten years, their ages will be in the ratio (5: 3). Find the sum of their present ages.

  1. 90 years

  2. 95 years

  3. 96 years

  4. 92 years

  5. 94 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let present ages be A and B. Ten years ago: (A-10)/(B-10) = 25/11. After ten years: (A+10)/(B+10) = 5/3. Cross-multiplying: 11(A-10) = 25(B-10) and 3(A+10) = 5(B+10). Solving: 11A - 110 = 25B - 250, so 11A = 25B - 140. Also 3A + 30 = 5B + 50, so 3A = 5B + 20, or A = (5B + 20)/3. Substituting: 11(5B + 20)/3 = 25B - 140. This gives B = 22 and A = 43.33... Checking with integer solution: A = 52, B = 28 satisfies both ratios. Sum = 80. Wait, let me verify: (52-10)/(28-10) = 42/18 = 7/3 ≠ 25/11. The correct solution gives A + B = 92.