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

Find which information are necessary to answer the question asked. In a family there are 5 members, Nidhi, Vidhi, Nitya, Ajay and Anil. Find the present age of Anil. I. The average age of five family members is 36 years. II. The total age of Nidhi, Vidhi and Anil is 75 years. III. The present age of Anil is 12 years more than the age of Ajay.

  1. All three together are sufficient

  2. I and III

  3. II and (I or III)

  4. All three together are not sufficient

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

For Anil's age: Statement I gives total age = 180 years (5 × 36). Statement II gives Nidhi + Vidhi + Anil = 75. Statement III says Anil = Ajay + 12. From I and II: Nitya + Ajay = 105. With III, we have Anil - Ajay = 12 and Nitya + Ajay = 105, but we still can't determine individual values. Three people's ages are unknown with only two equations. The information is insufficient.

Multiple choice

A father said to his son, "I was as old as you are at present at the time of your birth". If the father's age is 46 years now, what was the son's age seven years back? एक पिता ने अपने बेटे से कहा, "तुम्हारे जन्म के समय मेरी आयु तुम्हारे वर्तमान उम्र के समान थी "। यदि पिता की उम्र अब 46 वर्ष है, तो सात वर्ष पूर्व बेटे की उम्र क्या थी?

  1. 14 years/वर्ष

  2. 16 years/वर्ष

  3. 15 years/वर्ष

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

When son was born, father's age = son's current age. Let son's current age = S. Then father is 2S years old (S years at son's birth + S years since). Given 2S = 46, so S = 23. Son's age 7 years back = 23 - 7 = 16 years. The key insight is that the age difference equals the son's current age.

Multiple choice

The ratio of the ages of Javed and Akhtar is 6 : 11. Find out the ratio of their ages 5 years ago. A. The difference of their ages is 25 years. B. The difference of their ages after 5 years will be 25 years. C. The sum of their ages is 85 years.

  1. Only A and C together are sufficient

  2. Anyone of A, B and C is sufficient

  3. Only A and B together are sufficient

  4. Any two of A, B and C are sufficient

  5. All together are necessary
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Any single statement with the 6:11 ratio gives a unique solution. A: 11x-6x=25 → x=5, ratio 5 years ago = (6×5-5):(11×5-5) = 25:50 = 1:2. B: 11x-6x=25 (difference constant), same as A. C: 6x+11x=85 → x=5, same result. Each alone is sufficient.

Multiple choice

Eight years ago, Anushika's age was equal to the sum of the present ages of her one son and one daughter. Five years hence, the respective ratio between the ages of her daughter and her son that time will be (10: 9). If Anushika's husband is 7 years elder to her and his present age is 4 more than three times the present age of his son, what is the present age of the daughter? (in years)

  1. 15

  2. 23

  3. 25

  4. Data Inadequate

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

Let Anushika = A, daughter = D, son = S. Given: A-8 = S+D; (D+5)/(S+5) = 10/9; Husband H = A+7 = 3S+4. Solving: From husband equation, S = (A+3)/3. From first equation: D = A-8-S = A-8-(A+3)/3 = (2A-27)/3. From ratio: 9(D+5) = 10(S+5). Substituting and solving gives D = 15 years.

Multiple choice

The age of a man is twice the square of the age of his son. Eight years hence, the age of the man will be 4 years more than three times the age of his son. Find the son's present age. एक आदमी की आयु, अपने पुत्र की आयु के वर्ग की दो गुनी है। 8 वर्ष के बाद आदमी की आयु पुत्र की आयु की तीन गुनी से 4 वर्ष अधिक होगी। तो पुत्र की वर्तमान आयु ज्ञात कीजिए।

  1. 5

  2. 3

  3. 6

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

Set up equations: man's age = 2x², after 8 years: 2x² + 8 = 3(x+8) + 4. Solving 2x² - 3x - 20 = 0 gives x = 4 (valid age).

Multiple choice

Find the value of both quantities and state the correct relationship. Quantity I: Age of father, if age of Abhinav is 1/3th of his father’s and 10 years after Abhinav’s age becomes half of his father’s age. Quantity II: Age of father, if 5 years ago age of A’s father was three times the age of A and 5 years hence his age will be double A’s age.

  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
C Correct answer
Explanation

Quantity I: Let Abhinav's age = x, father's age = 3x. After 10 years: (x+10) = (1/2)(3x+10). Solving: 2x + 20 = 3x + 10, so x = 10. Father's age = 30 years. Quantity II: 5 years ago: father = 3 × A. 5 years hence: father = 2 × A. Let current ages be F and A. (F-5) = 3(A-5) and (F+5) = 2(A+5). From first: F = 3A - 10. Substituting: 3A - 5 = 2A + 10, so A = 15, F = 35. Father's age = 35 years. Clearly 35 > 30, so Quantity II is greater.

Multiple choice

Sum of the ages of Anushika 1 year ago and Nayanish 16 years ago was equal to Nayanish's present age. Both got married after 5 years. If at the time of marriage Nayanish's age is 31 years, then what is the age of Anushika at the time of marriage? 1 वर्ष पहले अनुष्का की उम्र और 16 वर्ष पहले नयनिष की उम्र का योग नयनिष की उम्र के वर्तमान उम्र के बराबर है । दोनों ने 5 वर्ष बाद शादी कर ली। यदि शादी के समय नयनिष की उम्र 31 वर्ष है, तो विवाह के समय अनुष्का की उम्र क्या है?

  1. 18 years/वर्ष

  2. 20 years/वर्ष

  3. 21 years/वर्ष

  4. 22 years/वर्ष
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Anushika's present age = A, Nayanish's present age = 31. Given: (A-1) + (31-16) = 31. So A - 1 + 15 = 31, giving A = 17. At marriage (5 years later): Anushika = 17 + 5 = 22.

Multiple choice

Each question below contains a statement followed by Quantity I and Quantity II. Find the value of both to find the relationship among them. Four years ago, the ratio of ages of A and B is 5 : 6 and five years after the ratio will become 6 : 7, then find- Quantity I: Present age of A. Quantity II: Age of B, 4 years ago.

  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
C Correct answer
Explanation

Let A and B be present ages. Four years ago: (A-4)/(B-4) = 5/6 → 6A - 24 = 5B - 20 → 6A - 5B = 4. Five years after: (A+5)/(B+5) = 6/7 → 7A + 35 = 6B + 30 → 7A - 6B = -5. Solving these equations: Multiply first by 6 (36A - 30B = 24) and second by 5 (35A - 30B = -25). Subtract to get A = 29. Then B = 35. Quantity I (A's present age) = 29. Quantity II (B's age 4 years ago) = 35 - 4 = 31. Since 31 > 29, Quantity II is greater. Option C is correct.

Multiple choice

Ten years ago, the age of a man was 20 years less than 6 times his son's age. Ten years hence, his age will be 30 years less than thrice his son's age. After how many years from now will their combined age be 90 years? दस वर्ष पहले, एक आदमी की उम्र उसके बेटे की उम्र के 6 गुना से 20 वर्ष कम थी। दस वर्ष बाद, उसकी उम्र उसके बेटे की उम्र के तीन गुने से 30 वर्ष कम होगी। अब से कितने वर्ष बाद उनकी संयुक्त आयु 90 वर्ष होगी?

  1. 5

  2. 10

  3. 15

  4. 20
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let man's present age = M, son's present age = S. Ten years ago: M-10 = 6(S-10) - 20. Ten years hence: M+10 = 3(S+10) - 30. Solving: From first eq, M = 6S - 60 - 20 + 10 = 6S - 70. Substituting in second: 6S - 70 + 10 = 3S + 30 - 30, giving 6S - 60 = 3S, so 3S = 60, S = 20. Then M = 6(20) - 70 = 50. Current sum = 70. Sum reaches 90 in (90-70)/(1+1) = 10 years.

Multiple choice

If the present age of Sunil is twice the present age of Bipin. 18 years ago, age of Nilesh is half the age of Bipin six years hence. If the average of the present age of Sunil, Bipin and Nilesh are 42 years, then find the age of Sunil after 9 years? यदि सनुील की वतर्मान आयु बिपिन की वर्तमान आयु से दोगुनी है। 18 वर्ष पहले, निलेश की आयु, बिपिन की 6 वर्ष के बाद की आयु की आधी है। यदि सुनील, बिपिन तथा निलेश की वर्तमान आयु का औसत 42 वर्ष है, तो 9 वर्ष बाद सुनील की आयु ज्ञात करें?

  1. 69 years/वर्ष

  2. 70 years/वर्ष

  3. 73 years/वर्ष

  4. 77 years/वर्ष
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let Bipin's age = B. Then Sunil = 2B. 18 years ago, Nilesh was (B + 6)/2, so current Nilesh = (B + 6)/2 + 18. Average: (2B + B + (B + 6)/2 + 18)/3 = 42. Simplifying: 3B + (B + 6)/2 + 18 = 126, giving 7B + 6 = 216, so B = 30. Sunil = 60, Sunil after 9 years = 69. Uses linear equations with age relationships.

Multiple choice

Ram's age after 17 years will be 6 years less than twice her present age. The respective ratio between Vivan's present age and Amit's present age is 21: 19. If Amit's age 31 years hence will be same as three times Ram's present age, what will be Vivan's age 4 years hence?

  1. 44 years

  2. 45 years

  3. 46 years

  4. 48 years

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

Let Ram's present age be R. R+17 = 2R-6, so R = 23. Vivan:Amit = 21:19, let V = 21k, A = 19k. A+31 = 3R = 69, so A = 38. Then 19k = 38, k = 2. V = 21×2 = 42. Vivan's age 4 years hence = 42+4 = 46.

Multiple choice

The ratio between A’s and B’s age is 9: 13 respectively. 8 years ago the ratio between their ages was 7: 11 respectively. What is A’s present age? A और B की आयु के बीच अनुपात क्रमशः 9: 13 है। 8 वर्ष पूर्व उनकी आयु के बीच अनुपात क्रमशः 7: 11 था । A की वर्तमान आयु क्या है?

  1. 36

  2. 32

  3. 43

  4. 49
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let A = 9x, B = 13x. Eight years ago: (9x-8)/(13x-8) = 7/11. Cross-multiply: 11(9x-8) = 7(13x-8). 99x - 88 = 91x - 56. 8x = 32, so x = 4. A's age = 9×4 = 36 years.

Multiple choice

Anuj's present age is 9 years more than that of what Rahul's age will be after five years. Rahul's present age is seven years more than that of what Renu's age was 4 years ago. Renu's present age is 19 years. What will be Anuj's age after 5 years ?

  1. 36 years

  2. 41 years

  3. 38 years

  4. 32 years

  5. Other than these options
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Work backwards from Renu's age. Renu is 19 now, so 4 years ago she was 15. Rahul is 7 years more than that: 15 + 7 = 22 (Rahul's present age). In 5 years, Rahul will be 27. Anuj's present age is 9 more than that: 27 + 9 = 36. Anuj's age after 5 years = 36 + 5 = 41.

Multiple choice

The ratio of the present age of Arav to that of Anil is 3 : 11. Anil is 12 years younger than Anuj. Anuj’s age after 7 years will be 85 years. What is the present age of Arav’s father, who is 25 years older than Arav? अरव की वर्तमान आयु और अनिल की वर्तमान आयु का अनुपात 3 : 11 है। अनुज की तुलना में अनिल 12 वर्ष छोटा है। अनुज की आयु 7 वर्ष बाद 85 वर्ष होगी। अरव के पिता की वर्तमान आयु क्या है, जो अरव की तुलना में 25 वर्ष वृद्ध है?

  1. 43 yrs./वर्ष

  2. 38 yrs./वर्ष

  3. 50 yrs./वर्ष

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

Anuj's age after 7 years = 85, so current Anuj = 78. Anil = Anuj - 12 = 66. Arav/Anil = 3/11, so Arav = (3/11) × 66 = 18. Arav's father = Arav + 25 = 43 years. The problem chains multiple relationships and requires working backward from Anuj's future age to Arav's current age, then adding the father's age offset.