Quantitative Aptitude

Problems on Ages

346 Questions

Problems on Ages involve calculating current, past, or future ages using ratios, averages, and simple equations. These questions are a regular feature in the arithmetic section of most competitive exams. Practicing these problems helps improve calculation speed and accuracy for time management during tests.

age ratiosaverage age problemspresent age calculationsfuture age equationsfamily age puzzles

Problems on Ages Questions

Multiple choice general knowledge
  1. 17 Years

  2. 18 Years

  3. 13 Years

  4. 25 Years

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Vijay's age = 6x and Sanjay's age = 7x. After 3 years: (6x + 3)/(7x + 3) = 7/8. Cross-multiplying: 48x + 24 = 49x + 21, giving x = 3. Vijay's present age = 6x = 6 × 3 = 18 years, so option B is correct.

Multiple choice general knowledge
  1. 5

  2. 10

  3. 15

  4. Can't be determined

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Current ages: Mohan = 35, Sohan = 40. Ratio 35:40 = 7:8 already. The ratio stays 7:8 forever since adding the same years preserves the ratio. Therefore, ratio is 9:10 NOW, not in the future. However, let's solve: (35 + x)/(40 + x) = 9/10. Cross-multiply: 350 + 10x = 360 + 9x, giving x = 10. Option B is correct.

Multiple choice general knowledge math & puzzles
  1. John is 35 years old and Bob 45.

  2. John is 30 years old and Bob 40.

  3. John is 40 years old and Bob 50.

  4. John is 30 years old and Bob 20.

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Bob's age = B and John's age = J. Solving the complex system of equations yields B = 40 and J = 30. The second statement gives us the key equation: J = (B/2) + 10, which with B = 40 gives J = 30. This pair satisfies the conditions of both statements. Option A (35, 45) and Option C (40, 50) don't satisfy the second condition, while Option D has ages in the wrong order.

Multiple choice general knowledge math & puzzles
  1. 48

  2. 47

  3. 49

  4. 50

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let total life = L. The fractions for boy + youth + active man = 1/4 + 1/8 + 1/2 = 7/8. So old age (12 years) = L - 7L/8 = L/8. This means L = 96 years total. Active man years = L/2 = 96/2 = 48 years. Options B (47), C (49), and D (50) are incorrect and don't result from the fraction calculation.

Multiple choice general knowledge math & puzzles
  1. 360

  2. 140

  3. Data Insufficient

  4. Cannot be determined

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let N = Nepo's age, S = son's age, F = father's age. N = 3S, F = 2N + 40 = 6S + 40. Total: S + N + F = S + 3S + (6S + 40) = 10S + 40 = 1240. So 10S = 1200, S = 120. Therefore N = 3 × 120 = 360 years.

Multiple choice general knowledge math & puzzles
  1. 35

  2. 39

  3. 40

  4. 42

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When an old member (age X+4) is replaced by a younger member (age Y), and the average age remains unchanged after 4 years, the total age increase from the 9 continuing members (9 × 4 = 36 years) must be offset by the age difference. So Y = (X+4) - 36 = X - 40, meaning the new member is 40 years younger than the old member.

Multiple choice general knowledge math & puzzles
  1. 30

  2. 40

  3. 50

  4. 60

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let son's present age be S. Father's present age = S + 30. After 5 years: son will be S + 5, father will be S + 35. Given: S + 35 = 3(S + 5), so S + 35 = 3S + 15, thus 20 = 2S, S = 10. Father's present age = 10 + 30 = 40. Verification: After 5 years, son is 15, father is 45, and 45 = 3 × 15.

Multiple choice general knowledge culture
  1. 30 yrs

  2. 33 yrs

  3. 35 yrs

  4. 37 yrs

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Based on the Gospel accounts, Jesus was about 33 years old at crucifixion. He began his public ministry around age 30 Luke 3:23, and his ministry lasted approximately 3 years covering multiple Passovers, making 33 the widely accepted estimate.

Multiple choice general knowledge
  1. 35.2

  2. 32

  3. 33

  4. 34.2

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Swaziland (now Eswatini) had one of the world's lowest life expectancies in the early 2000s due to the HIV/AIDS epidemic. The rate hovered around 32-35 years during this period, with the 32-year figure reflecting the peak of the crisis.

Multiple choice general knowledge math & puzzles
  1. 65

  2. 84

  3. 72

  4. 78

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the grandson's age be $G$, son's $S$, and grandfather's $I$. The problem states $S = 7G$ (weeks vs days) and $I = 12G$ (years vs months). Summing their ages: $G + 7G + 12G = 120$, which simplifies to $20G = 120$, so $G = 6$. Therefore, the grandfather's age is $12 \times 6 = 72$. Distractors fail to satisfy this linear ratio.

Multiple choice general knowledge
  1. 12

  2. 14

  3. 16

  4. 18

  5. 20

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Jack's current age = 12, father's current age = 40. In x years, Jack will be 12+x and father will be 40+x. We need 40+x = 2(12+x), so 40+x = 24+2x, therefore x = 16. After 16 years, Jack will be 28 and father will be 56, which is exactly double.

Multiple choice general knowledge
  1. 103

  2. 105

  3. 107

  4. 110

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Auntie Muriel in the Harry Potter series is described as being very old - she is 107 years old. This is mentioned in the books, emphasizing her elderly status and her role as a somewhat distant great-aunt figure. The other options (103, 105, 110) are close but not the correct age as specified in J.K. Rowling's works.

Multiple choice general knowledge sports
  1. 10

  2. 50

  3. 40

  4. 35

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Kobi's age = K. Bheriya's age = B = K (no age difference). Fuzo is 50 years older than Kobi: F = K + 50. Fuzo is 60 years older than narrator (Zen): F = Z + 60, so Z = K - 10. Age difference between Kobi and narrator: K - (K-10) = 10. 'Our age difference' multiplied by 5 gives Kobi's age: 10 × 5 = 50. But checking: K=50, B=50, F=100, Z=40. F-K = 50 (correct), F-Z = 60 (correct). Age difference between Kobi and narrator is 50-40 = 10. 10 × 5 = 50 = Kobi's age. This works! Wait, let me re-check... If K=40, B=40, F=90, Z=30. F-K = 90-40 = 50 (correct). F-Z = 90-30 = 60 (correct). Kobi-narrator age difference = 40-30 = 10. 10 × 5 = 40 = Kobi's age. So Kobi is 40, narrator is 30. Option C (40) is narrator's age.

Multiple choice general knowledge math & puzzles
  1. 2

  2. 22

  3. 44

  4. 88

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Son's age = 2. Father's age = 11 × 2 = 22. Grandfather's age = 2 × 22 = 44. The grandfather is 44 years old. Option A (2) is the son's age, B (22) is the father's age, and D (88) would require 4× multiplier.