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 the value of quantities and state the correct relationship. Quantity I: The age of Prabhat is thirteen times that of his daughter Pinky. If the age of Pinky is 3 years, what is the age of Prabhat? Quantity II: The ratio between the present ages of Anoop and Alok is 2 : 3. 3 years ago the ratio between their ages was 5 : 8. What will be Anoop’s age after 7 years?

  1. Quantity II ≤ Quantity I

  2. Quantity I < Quantity II

  3. Quantity II > Quantity I

  4. Quantity I > Quantity II

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

Quantity I: Pinky=3 years, Prabhat=13×3=39 years. Quantity II: Present ratio Anoop:Alok = 2:3. 3 years ago ratio was 5:8. Let present ages be 2x, 3x. Then (2x-3)/(3x-3) = 5/8. Solving: 16x-24 = 15x-15, x=9. Anoop=18, after 7 years=25. Therefore 39 > 25, so Quantity I > Quantity II.

Multiple choice

7 years ago the ratio of age of Amit and Sachin was (11 : 5). From 2 years hence this ratio will become (7 : 4). Find the sum of their ages after 5 years.

  1. 66 years

  2. 72 years

  3. 60 years

  4. 86 years

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

Let current ages be A (Amit) and S (Sachin). 7 years ago: (A-7) : (S-7) = 11 : 5, so 5(A-7) = 11(S-7), giving 5A - 35 = 11S - 77, or 5A - 11S = -42. 2 years hence: (A+2) : (S+2) = 7 : 4, so 4(A+2) = 7(S+2), giving 4A + 8 = 7S + 14, or 4A - 7S = 6. Solving: from first, A = (11S - 42)/5. Substituting: 4(11S - 42)/5 - 7S = 6. Multiply by 5: 44S - 168 - 35S = 30, so 9S = 198, S = 22. Then A = (242 - 42)/5 = 40. After 5 years: A = 45, S = 27. Sum = 45 + 27 = 72. Option B is correct.

Multiple choice

The sum of ages of Yogesh, Prakash and Sameer is 93 years. 10 years ago, the ratio of their ages was 2:3:4. What is the Sameer's present age?

  1. 32 years

  2. 38 years

  3. 34 years

  4. 42 years

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

Let ages 10 years ago be 2x, 3x, 4x. Total = 9x. Present ages are 2x+10, 3x+10, 4x+10. Sum = 9x+30 = 93, so 9x = 63, x = 7. Sameer's present age = 4(7)+10 = 38 years. Option A (32) would mean x=5.5, giving total only 79.5. Option C (34) doesn't fit the ratio.

Multiple choice

The questions given below contain three statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? What is Vinita's present age? (I) 5 years ago, Vinita's age was twice her son's age. (II) The ratio of present ages of Vinita and her son is 11:6 respectively. (III) 5 years hence, the ratio of ages of Vineeta and her son will be 12 : 7.

  1. I and III

  2. II and III

  3. I and II

  4. Any two

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

Any two of the three statements are sufficient to determine Vinita's present age. Each pair provides two independent equations relating Vinita's age and her son's age. For example, using statements I and II: from the ratio (V:S = 11:6) and the past relationship (V-5 = 2(S-5)), we can solve for unique values.

Multiple choice

Farah was married some years ago. Today her age is 1.25 times to that age at the time of marriage. At present her daughter's age is 1/10th of her age that was born after 3 years of her marriage. What will be the ratio of her daughter's age to her age after 6 years?

  1. 2 : 7

  2. 1 : 10

  3. 1 : 4

  4. 3 : 13

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

Let Farah's age at marriage be M years. Her current age is 1.25M. Her daughter was born 3 years after marriage, so the daughter's current age is (1.25M - 3). The daughter's age is 1/10th of Farah's age 3 years after marriage: 1.25M - 3 = (M + 3)/10. Solving: 12.5M - 30 = M + 3, so 11.5M = 33, giving M ≈ 24. Current ages: Farah = 30, daughter = 3. After 6 years: Farah = 36, daughter = 9. Ratio = 36:9 = 4:1, which as 'daughter's age to mother's age' = 1:4.

Multiple choice

The ratio of the age of Ajay and his daughter is 11: 3. 'N' years ago the sum of their ages decreased by 20 years while the ratio of their ages then was 17: 1. Find the value of N.

  1. 20

  2. 30

  3. 25

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

Let Ajay's age = 11x, daughter's age = 3x. N years ago: (11x - N) + (3x - N) = 14x - 2N, which decreased by 20 years from 14x, so 14x - (14x - 2N) = 20, giving N = 10. Alternatively, the ratio became 17:1, so (11x - N)/(3x - N) = 17/1. With N = 10, we get x = 5, so current ages are 55 and 15, satisfying all conditions.

Multiple choice

Renu's mother was three times as old as Renu 5 year ago. After 5 years, she will be twice as old as Renu. Renu's present age in years is-

  1. 35

  2. 10

  3. 20

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

Let Renu's present age be x years. Five years ago: Renu was (x-5) and her mother was 3(x-5) = 3x-15. So mother's present age is (3x-15)+5 = 3x-10. After five years: Renu will be (x+5) and mother will be (3x-10)+5 = 3x-5. Given: 3x-5 = 2(x+5). Solving: 3x-5 = 2x+10, so x = 15. Therefore, Renu's present age is 15 years.

Multiple choice

The ratio of present ages of Shyam and Sohan is 7: 8 respectively. Four years hence this ratio becomes 9: 10 respectively. What is Shyam's present age in years? श्याम और सोहन की वर्तमान आयु का अनुपात क्रमशः 7 : 8 है। चार वर्ष पश्चात यह क्रमशः 9 : 10 हो जाता है। श्याम की वर्तमान आयु क्या है? (वर्ष में)

  1. 12

  2. 14

  3. 16

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

Let present ages be 7x and 8x. After 4 years: (7x+4)/(8x+4) = 9/10. Cross-multiplying: 70x+40 = 72x+36, so 2x = 4 and x = 2. Shyam's present age = 7x = 14 years. The ratio changes consistently as both ages increase by the same amount.

Multiple choice

The respective ratio between present age of P and Q is 3: 11. Q is 12 years younger to R. R’s age after 7 years will be 85 years. What is the present age of P’s father who is 25 years older than P? P तथा Q की वर्तमान आयु के बीच अनुपात क्रमशः 3: 11 है । Q, R से 12 वर्ष छोटा है । 7 वर्ष बाद R की आयु 85 वर्ष हो जायगी। । P के पिता की वर्तमान आयु क्या होगी, जो P से 25 वर्ष बड़े हैं?

  1. 43 years/वर्ष

  2. 67 years/वर्ष

  3. 45 years/वर्ष

  4. 69 years/वर्ष
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

R's age after 7 years = 85, so R's present age = 78. Q is 12 years younger than R, so Q = 66. Since P:Q = 3:11, P = (3/11) × 66 = 18. P's father is 25 years older, so father = 18 + 25 = 43 years. Option B forgets to add 25, Option C uses wrong ratio calculation, Option D uses incorrect base.

Multiple choice

The ratio of Laxmi's age to the age of her mother is 3 : 11. The difference between their ages is 24 years. The ratio of their ages after 3 years will be -

  1. 1 : 3

  2. 2 : 3

  3. 3 : 5

  4. 2 : 5
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Laxmi's age : Mother's age = 3 : 11, and their difference is 24 years. So 8 units = 24 years, giving 1 unit = 3 years. Laxmi = 3 × 3 = 9 years, Mother = 11 × 3 = 33 years. After 3 years: Laxmi = 12, Mother = 36. New ratio = 12 : 36 = 1 : 3. Age problems with ratios require finding the unit value first.

Multiple choice

Anubhav's present age is four times Amit's present age and four-fifth of his father present age. The sum of the present ages of all of them is 160 years. What is the difference between Amit;s present age and Anubhav's father's present age?

  1. 72 years

  2. 48 years

  3. 68 years

  4. 64 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Amit's age = A. Then Anubhav = 4A and Father = (4/5) of Anubhav = 5A. Sum: A + 4A + 5A = 160, giving 10A = 160, so A = 16 years. Father's age = 5A = 80 years. Difference between Father and Amit = 80 - 16 = 64 years. Express all ages in terms of one variable using the given relationships.

Multiple choice

The following questions are accompanied by three statements A, B and C. You have to determine which statement(s) is/are sufficient. What will be the ratio between the ages of Rahul and Prem after 5 years? A. Rahul's present age is more than Prem's present age by 4 years. B. Prem's present age is 20 years. C. Prem and Rahul's present ages are in the ratio 4:5.

  1. Only A and either B or C

  2. Only B

  3. Only C

  4. Only either A or C

  5. Only either B or C
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

We need Rahul and Prem's present ages to find the ratio after 5 years. Statement A gives the difference. Statement B gives Prem's age. Statement C gives the present ratio. Combining A and C works: if ratio is 4:5 and difference is 4, then ages are 16 and 20. After 5 years: 21 and 25, ratio is 21:25. Combining A and B also works: Prem is 20, so Rahul is 24. After 5 years: 25 and 29, ratio is 25:29. We need either B or C with A.

Multiple choice

Mahesh is eighteen years older than Ranjeet. The respective ratio of Mahesh’s age six years hence & Vikas’s present age is 3:2. If the present age of Vikas is twice the age of Ranjeet, what was Mahesh’s age two years ago?

  1. 24 years

  2. 18 years

  3. 28 years

  4. 26 years

  5. 16 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Ranjeet's age be R. Mahesh = R + 18, Vikas = 2R. Mahesh 6 years hence = R + 24. Given (R + 24)/(2R) = 3/2, solving gives R = 12, so Mahesh = 30. Mahesh 2 years ago = 28.

Multiple choice

Ajeet's present age in years is 33.33% of Gaurav's. In another few years, Ajeet's age will be half of Gaurav's. By what percentage will Ajeet's age increase during this period?

  1. 33.33%

  2. 20%

  3. 50%

  4. 45%

  5. 100%
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Ajeet's present age = 33.33% of Gaurav's = (1/3) × Gaurav. So Ajeet:Gaurav = 1:3 currently. Let ages be x and 3x. In future, Ajeet = (1/2) × Gaurav. Let n years pass: (x+n) = (1/2)(3x+n). Solving: 2x+2n = 3x+n, so n = x. Ajeet's age increases from x to 2x, which is a 100% increase. Option E (100%) is correct.