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

Ayush was born two years after his father`s marriage. His mother is five years younger than his father, but 20 years older than Ayush, who is 10 years old. At what age did the father get married?. পিতার বিয়ের দু'বছর পরে আয়ুশ জন্মগ্রহণ করেছিলেন। তার মা তার বাবার চেয়ে পাঁচ বছরের ছোট, তবে আয়ুষ যে 10 বছর বয়সী তার চেয়ে 20 বছর বড়। কোন বয়সে আয়ুষের বাবা বিয়ে করেছিলেন?

  1. 23 years

  2. 21 years

  3. 35 years

  4. 33 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Ayush is 10. Mother is 20 years older than Ayush, so she is 30. Mother is 5 years younger than father, so father is 35. Ayush was born 2 years after marriage, so father was 35 - 10 - 2 = 23.

Multiple choice

Ram is 4 times his son's age today. Five years hence, Ram will be thrice his son's age. Find their current ages? বর্তমানে রামের বয়স তার ছেলের বয়সের 4 গুণ। পাঁচ বছর পর রামের বয়স ছেলের বয়সের 5 গুন হবে। তাদের বর্তমান বয়স কত?

  1. 60 and 15

  2. 40 and 10

  3. 20 and 5

  4. 32 and 8
Reveal answer Fill a bubble to check yourself
B Correct answer
Multiple choice

The sum of the present age of Varun and Kapil is 42 yr. the ratio of their ages after 5yr will be 15:11. What is the present age of Kapil

  1. 17

  2. 24

  3. 25

  4. 22
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let V and K be their ages. V + K = 42. After 5 years, (V+5)/(K+5) = 15/11. Solving these equations: V+5 = 15/11 * (K+5) implies 11V + 55 = 15K + 75, or 11V - 15K = 20. Substituting V = 42 - K gives 11(42-K) - 15K = 20, so 462 - 11K - 15K = 20, 442 = 26K, K = 17.

Multiple choice

What is the ratio of the ages of Ram and Ravi? I. 6 years ago their ages were in the ratio 3 : 4. II. After 2 years the younger one's age will be 85% that of the older. III. The sum of their ages is three less than twice the age of the older.

  1. Only II and III are sufficient

  2. Any two of them is sufficient

  3. Only I and II are sufficient

  4. All are not sufficient

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

Statement I gives a ratio 6 years ago. Statement II relates their ages in 2 years. Statement III relates the sum of ages to the older one's age. With three variables (Ram's age, Ravi's age, and who is older), these statements provide sufficient linear equations to solve for the ratio.

Multiple choice
  1. The ratio between the present ages of the son and his mother is 5 : 2. Find the present age of the mother.I. Difference between the present ages of the father and his son is 28 years.II. Difference between the present ages of the mother and her son is 21 years.III. Difference between the present ages of father and his daughter is 35years

  1. Only I is sufficient

  2. I and II are sufficient

  3. II and III are sufficient

  4. Only II is sufficient

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

Ratio of son:mother = 5:2 is likely a typo for 2:5 (mother is older). Let son = 2x, mother = 5x. Statement II: Mother - Son = 21. 5x - 2x = 21, 3x = 21, x = 7. Mother = 35. Only II is sufficient.

Multiple choice

Ten years hence, the respective ratio between Simmi’s age and Niti’s age will be 7 : 9. Two years ago, the respective ratio between Simmi’s age and Niti’s age was 1:3. If Abhay is 4 years older to his sister Niti, what is Abhay’s present age? (in years)

  1. 8

  2. 4

  3. 16

  4. 12
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Simmi = S, Niti = N. (S+10)/(N+10) = 7/9 -> 9S + 90 = 7N + 70 -> 7N - 9S = 20. (S-2)/(N-2) = 1/3 -> 3S - 6 = N - 2 -> N = 3S - 4. Substitute: 7(3S-4) - 9S = 20 -> 21S - 28 - 9S = 20 -> 12S = 48 -> S = 4. N = 3(4) - 4 = 8. Abhay = N + 4 = 12.