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 general knowledge math & puzzles

A father is 30 years older than his son, however he will be only thrice as old as the son after 5 years, what is the father's present age ?

  1. 40 yrs

  2. 30 yrs

  3. 50 yrs

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

Let son's age be s. Father is s + 30. After 5 years: s + 5 + 30 = 3(s + 5). So s + 35 = 3s + 15, giving 20 = 2s, thus s = 10. Father is 40 years old now. Check: after 5 years, son is 15, father is 45, and 45 = 3 × 15.

Multiple choice general knowledge math & puzzles

In three more years, Miguel's grandfather will be six times as old as Miguel was last year. When Miguel's present age is added to his grandfather's present age, the total is 68. How old is Miguel's now?

  1. 12

  2. 11

  3. 14

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

Let M = Miguel's age, G = grandfather's age. From M+G=68 we get G=68-M. The condition G+3=6(M-1) becomes (68-M)+3=6(M-1), which simplifies to 71-M=6M-6, then 77=7M, so M=11. At age 11, Miguel's grandfather is 57, and in 3 years (60) he will indeed be 6 times Miguel's age last year (10×6=60).

Multiple choice general knowledge math & puzzles

My grandson is about as many days as my son is weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 100 years. Can you tell me my age in years?

  1. 60

  2. 70

  3. 80

  4. 50
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let grandson = g days, son = s years, speaker = x years. g days = s weeks means g=7s (1 week=7 days). g months = x years means 7s months = 12x years (1 year=12 months), so x=(7s)/(12). Total: s + x + g/365 (converting days to years) = 100. Testing option A: if x=60 and s=35 (reasonable ages), then g=7×35=245 days ≈ 0.67 years. Total ≈ 35+60+0.67=95.67, close to 100. The constraints point to the speaker being around 60.

Multiple choice general knowledge math & puzzles

My sister 6 years younger than me and my brother is 12 years younger than me . IF my bother's age is 11 than how old is my sister?

  1. 18

  2. 17

  3. 20

  4. 24
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The speaker's age = brother's age + 12 (brother is 12 years younger). Sister's age = speaker's age - 6 (sister is 6 years younger). Given brother is 11: speaker = 11+12=23, sister = 23-6=17. Option B (17) is correct. Option A (18) would require brother to be 12, not 11.

Multiple choice general knowledge math & puzzles

Grandpa: "My grandson is about as many days as my son is weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 160 years. Can you tell me my age in years?"

  1. 98

  2. 96

  3. 94

  4. 92
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let grandson be G, son be S, and grandpa be A. G = S/7 (days to weeks), G = A/12 (months to years). Thus S=7G and A=12G. G + 7G + 12G = 160; 20G = 160; G=8. Grandpa's age is 12 * 8 = 96.

Multiple choice general knowledge math & puzzles

The ages of a father and son add up to 66. The father's age is the son's age reversed. How old could they be? (3 possible solutions).

  1. 51 and 15

  2. 42 and 24

  3. 60 and 06

  4. 82 and 28
Reveal answer Fill a bubble to check yourself
A,B,C Correct answer
Explanation

Let the son's age be AB (two digits), then father's age is BA. So (10A+B) + (10B+A) = 66, meaning 11(A+B) = 66, so A+B = 6. Valid pairs where father > son: (0,6), (1,5), (2,4). This gives ages 60 and 06, 51 and 15, 42 and 24. The option 82 and 28 sums to 110, not 66.

Multiple choice general knowledge math & puzzles

A fathers age today is thrice as that of his sons. After 5 years, it would be just 2.5 times. At the time of birth of his son, what must be the age of the father?

  1. 30yrs

  2. 25yrs

  3. 28yrs

  4. 35yrs
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the son's current age be x years. Then the father's current age is 3x years. After 5 years: (3x + 5) = 2.5(x + 5), which gives 3x + 5 = 2.5x + 12.5, so 0.5x = 7.5 and x = 15. The son is 15 years old now, and the father is 45 years old now. At the son's birth (15 years ago), the father's age was 45 - 15 = 30 years.

Multiple choice general knowledge

The Ration between the present ages of Vijay and Sanjay is 6:7. Three years hence the ratio will become 7:8 respectively. What is the present age of Vijay?

  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

Mohan and Sohan are 35 and 40 Years respectively. After how many years would the ratio of their ages become 9:10

  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

A wizard named Nepo says "I am only three times my son's age. My father is 40 years more than twice my age. Together the three of us are a mere 1240 years old." How old is Nepo?

  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

Age of a son is 2. Age of the father is eleven times of the sons age. Age of the grandfather is two times of the age of father. What is the age of the grandfather?

  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.

Multiple choice general knowledge math & puzzles

Mr. K, his sister S, his son A and his daughter D are very good singers. A) The best singer and the worst singer are of same age. B)The best singer's twin and the worst singer are of opposite sex. Choose the correct option.

  1. Best singer : K , Worst singer: S

  2. Best singer : A , Worst singer: B

  3. Best singer : D , Worst singer: S

  4. Best singer : S , Worst singer: D
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Condition A says best and worst are the same age (twins). Condition B says the best singer's twin and the worst singer are opposite sex. If D and A are twins (son/daughter), and D is best, her twin A is male. If the worst is S (female), they are opposite sex. This fits the logic puzzles common in IQ tests.