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 respective ratio of the present age of grandfather, father, mother and son is 25 : 14 : 11 : 5. 10 years ago, the ratio of the age of Grandfather and son was 13 : 1. What will be the sum of the age of father and mother after 6 years?

  1. 75 years

  2. 81 years

  3. 87 years

  4. 84 years

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

Let ages be 25x, 14x, 11x, 5x. 10 years ago: Grandfather was (25x - 10), Son was (5x - 10). Ratio (25x - 10)/(5x - 10) = 13/1. Cross-multiplying: 25x - 10 = 65x - 130, so 40x = 120, x = 3. Current ages: GF = 75, Father = 42, Mother = 33, Son = 15. After 6 years: Father = 48, Mother = 39. Sum = 87 years.

Multiple choice

The sum of the ages of father and son is 45yrs. Five years ago the product of their ages was 4 times the father’s age at that time the present ages of father & son are?

  1. 39, 6

  2. 35, 10

  3. 36, 9

  4. 40, 10

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

माना पिता की आयु F, पुत्र की S। F + S = 45। 5 वर्ष पूर्व: (F-5)(S-5) = 4(F-5)। यदि F ≠ 5: S-5 = 4, S = 9। तब F = 45 - 9 = 36। जांच: 5 वर्ष पहले पिता 31, पुत्र 4; 31 × 4 = 124, 4 × 31 = 124 (सत्य)। विकल्प C (36, 9) सही है। विकल्प A, B, D गलत क्योंकि योग 45 नहीं है।

Multiple choice

The ratio of the present ages of Priya and her mother is 3: 7. The mother’s age at the time of Priya’s birth was 48 years. Find the mother’s present age.

  1. 84

  2. 42

  3. 36

  4. None of the above
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let Priya's present age be 3x and mother's present age be 7x. At Priya's birth, mother was 48, so mother is now 48 + Priya's age = 48 + 3x. Therefore 7x = 48 + 3x, giving 4x = 48, so x = 12. Mother's present age = 7x = 7 × 12 = 84 years.

Multiple choice

The ratio of the present age of Mitali to that of Shabnam is 4: 7. If the difference between the current age of Shabnam and Mithali's age after 5 years is 13 years, then what is the sum of the present ages of Mitali and Shabnam?

  1. 74 years

  2. 60 years

  3. 66 years

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

Let Mitali = 4x, Shabnam = 7x. After 5 years: Mitali = 4x + 5. Given: 7x - (4x + 5) = 13, so 3x - 5 = 13, 3x = 18, x = 6. Sum of present ages = 4x + 7x = 11x = 11×6 = 66 years.

Multiple choice

Nisha and Deepak are a married couple and have a daughter named Tanya. Currently, Deepak is 5 years older than Nisha and Nisha is thrice the age of Tanya. If Tanya is 10 years old, what was her father's age at the time of his daughter's birth?

  1. 35 years

  2. 25 years

  3. 30 years

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

Tanya is 10 years old. Nisha is thrice Tanya's age: 3 × 10 = 30 years. Deepak is 5 years older than Nisha: 30 + 5 = 35 years. At Tanya's birth (10 years ago), Deepak was 35 - 10 = 25 years old.

Multiple choice

The average age of a man and his two sons born on the same day is 30 years. The ratio of the ages of father and one of his sons is 5 : 2 respectively. What is the father’s age?

  1. 50 years

  2. 30 years

  3. 45 years

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

Total age of 3 people = 30 × 3 = 90 years. Ratio of father to son = 5:2. Let father = 5x, son = 2x. Since both sons are same age, total age = 5x + 2x + 2x = 9x = 90, so x = 10. Father's age = 5x = 5 × 10 = 50 years.

Multiple choice

In a family, Kriti who is wife of Kapil is 2 years younger to Kapil. Ratio of ages of Kriti and Kapil's brother Kumar is 4: 3. Find the present age of Kapil's father Kamlesh who is 20 years older to Kriti if the age of Kumar after 15 years from now will be 33 years.

  1. 44 years

  2. 42 years

  3. 36 years

  4. 40 years

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

Working backwards from Kumar's future age: Kumar will be 33 after 15 years, so his current age is 18. Kriti:Kumar = 4:3, so Kriti = (4/3) × 18 = 24 years. Kriti is Kapil - 2, so Kapil = 26. Kamlesh is Kriti + 20 = 24 + 20 = 44 years.

Multiple choice

The sum of the ages of A and B 14 years hence will be equal to 2 times their present age. If at present A is 8 years elder to B, then what is the present age of A?

  1. 10 years

  2. 28 years

  3. 18 years

  4. 16 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let B's present age = x. Then A's present age = x + 8. After 14 years: A's age = x + 22, B's age = x + 14. Their sum = 2x + 36. This equals 2 × (present sum) = 2(x + x + 8) = 4x + 16. So: 2x + 36 = 4x + 16, giving 20 = 2x, so x = 10. A's present age = 10 + 8 = 18 years.

Multiple choice

If the sum of the father's age and son's age is 61 years and the product of their ages is 748 years. What will be the ratio of their ages after 10 years?

  1. 3: 1

  2. 4: 3

  3. 44: 17

  4. 2: 1
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let father's age = f, son's age = s. Given f + s = 61 and f × s = 748. Solving: s(61-s) = 748, so 61s - s^2 = 748, s^2 - 61s + 748 = 0. Factorizing: (s-8)(s-53) = 0. Since son is younger, s = 8, f = 53. After 10 years: father = 63, son = 18. Ratio = 63:18 = 7:2 = 2:1 (approximately). Option D is correct.

Multiple choice

Arun got married 10 year ago, his present age is (\frac{4}{3}) times the age at his marriage, arun's brother is 4 years younger to Arun .Find the age of Arun's brother at the time of Arun marriage ?

  1. 30

  2. 26

  3. 25

  4. 28
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Arun's age at marriage be x. His present age (10 years later) is 4/3 times that age, so x + 10 = 4x/3. Solving: 3x + 30 = 4x, thus x = 30. Arun's present age is 40. His brother is 4 years younger, so brother's present age is 36. At Arun's marriage (10 years ago), the brother was 36 - 10 = 26 years old. Option B is correct.