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

Manish's present age is (\frac{2}{7}) of his father's present age. Manish's sister is 3 years older than Manish. The respective ratio between the present ages of Manish's father and Manish's sister is 14 : 5. What is Manish's present age?

  1. 10 years

  2. 12 years

  3. 15 years

  4. Cannot be determined

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

Let Manish's age be M and father's age be F. Given M = (2/7)F. Sister's age S = M + 3. Also F:S = 14:5, so S = (5/14)F. Equating: (5/14)F = (2/7)F + 3. This gives (5/14)F = (4/14)F + 3, so (1/14)F = 3, meaning F = 42. Therefore M = (2/7) × 42 = 12 years.

Multiple choice

Mr. Mukherjee is 5 years elder to his wife and they have one son and one daughter. If the daughter is 23 years younger to Mr. Mukherjee and the son, is 16 years younger to his mother, what is the difference in the ages of the brother and the sister? श्री मुखर्जी अपनी पत्नी से 5 वर्ष बड़े है और उनके एक पुत्र और एक पुत्री है। यदि पुत्री श्री मुखर्जी से 23 वर्ष छोटी है और पुत्र अपनी माता से 16 वर्ष छोटा है, तो भाई और बहन की आयु का अन्तर क्या है?

  1. 2 years/वर्ष

  2. 12 years/वर्ष

  3. 4 years/वर्ष

  4. 7 years/वर्ष
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let Mukherjee's age = M. Wife = M - 5. Daughter = M - 23. Son = (M - 5) - 16 = M - 21. Age difference between son and daughter = (M - 21) - (M - 23) = 2 years. Son is older by 2 years.

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? एक आदमी और उसके दो बेटों (एक ही दिन पैदा हुए) की औसत आयु 30 वर्ष है। पिता की आयु और उसके एक बेटे की आयु का अनुपात 5 : 2 है, तो पिता की आयु क्या है?

  1. 50 years

  2. 30 years

  3. 45 years

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

Let father's age be F and each son's age be S. From average: (F+2S)/3=30, so F+2S=90. From ratio F:S=5:2, F=5S/2. Substituting: 5S/2+2S=90, giving S=20 and F=50 years.

Multiple choice

The present age of father is 3 more than three times the age of his son. After 3 years the age of the father will become 12 years more than the twice the age of his son. Find the present age of the father.

  1. 42 years

  2. 45 years

  3. 33 years

  4. 36 years

  5. 39 years
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let son's present age = s, father's present age = f. Then f = 3s + 3. After 3 years: f + 3 = 2(s + 3) + 12 = 2s + 18. Substituting: 3s + 6 = 2s + 18, so s = 12 and f = 39 years. Option E is correct.

Multiple choice

Ten years ago A, was half of B in age. If the ratio of their present ages is 3:4, What will be the total of their present ages? दस वर्ष पहले, A की आयु B की आधी है। यदि उनके वर्तमान आयु का अनुपात 3 : 4 है, तो उनकी कुल वर्तमान आयु क्या होगी?

  1. 8 years/वर्ष

  2. 20 years/वर्ष

  3. 35 years/वर्ष

  4. 45 years/वर्ष
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Ten years ago: A = B/2. Present ages: A/B = 3/4. Let A = 3x, B = 4x. Ten years ago: 3x-10 = (4x-10)/2. Solving: 6x - 20 = 4x - 10, 2x = 10, x = 5. A = 15, B = 20. Total = 35 years.

Multiple choice

Five years ago, the ratio between ages of A and B was 3: 4. After five years from now the ratio between their ages will be 5: 6. Find the present age of A.

  1. 22 years

  2. 25 years

  3. 15 years

  4. 20 years

  5. 18 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let present ages be A and B. Five years ago: (A-5)/(B-5) = 3/4, so 4A - 20 = 3B - 15, or 4A - 3B = 5. After five years from now: (A+5)/(B+5) = 5/6, so 6A + 30 = 5B + 25, or 6A - 5B = -5. Solving: A = 20, B = 25. Present age of A is 20 years, matching option D.

Multiple choice

The average age of 6 sons in a family is 8 years, average age of sons and parents is 22 years. If father is 8 years older than the mother, then find the age of the father after 13 years. किसी परिवार के 6 पुत्रों की औसत आयु 8 वर्ष है, पुत्रों और माता - पिता की औसत आयु 22 वर्ष है | यदि पिता, माता से 8 वर्ष बड़ा हो, तो 13 वर्ष बाद पिता की आयु ज्ञात कीजिये |

  1. 81 years/वर्ष

  2. 75 years/वर्ष

  3. 72 years/वर्ष

  4. 68 years/वर्ष
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

6 sons average = 8, total = 48. 8 people (sons+parents) average = 22, total = 176. Parents total = 176 - 48 = 128. Father = Mother + 8. Solving: Father = 68. After 13 years: 68 + 13 = 81.

Multiple choice

Mother's age is thrice the daughter's age. After 12 years mother's age will be 2.2 times the daughter's age. What is mother's present age?

  1. 36 years

  2. 57 years

  3. 45 years

  4. 54 years

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

Let daughter's present age = x years. Then mother's present age = 3x years. After 12 years: mother's age = 3x + 12, daughter's age = x + 12. Given: 3x + 12 = 2.2(x + 12). Solving: 3x + 12 = 2.2x + 26.4, so 0.8x = 14.4, giving x = 18. Mother's age = 3x = 3 × 18 = 54 years. Option D (54 years) is correct.

Multiple choice

2 years ago, mother’s age was four times the son’s age. After 6 years, mother’s age is 10 years more than twice the son’s age. What is the ratio of their ages ?

  1. 37 : 12

  2. 38 : 11

  3. 12 : 37

  4. 11 : 32

  5. 11 : 38
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let mother's current age be M and son's current age be S. 2 years ago: M-2 = 4(S-2). After 6 years: M+6 = 2(S+6) + 10. Solving: M-2 = 4S-8 gives M = 4S-6. Substituting in second equation: 4S-6+6 = 2S+12+10, so 4S = 2S+22, giving 2S = 22 or S = 11. Then M = 4(11)-6 = 38. Current ratio M:S = 38:11.

Multiple choice

The ratio of the ages of Sachin and Maneesh is 3 : 4. After five years the new ratio of their ages will be 4 : 5. What is the age of Maneesh at present?

  1. 15 years

  2. 20 years

  3. 18 years

  4. 24 years

  5. 30 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let present ages be 3x and 4x. After 5 years, the ratio becomes (3x+5)/(4x+5) = 4/5. Solving gives 5(3x+5) = 4(4x+5), which simplifies to 15x+25 = 16x+20, so x = 5. Maneesh's age = 4*5 = 20 years. The age difference (1x) remains constant over time.

Multiple choice

Present ages of Arpita and Nisha are in the ratio of 5:6 respectively .After four years this ratio becomes 6: 7 .What is the difference between their present ages?

  1. 8 years

  2. 6 years

  3. 3 years

  4. 4 years

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

Let present ages be 5x and 6x. After 4 years: (5x + 4)/(6x + 4) = 6/7. Cross-multiply: 7(5x + 4) = 6(6x + 4), giving 35x + 28 = 36x + 24. Solving gives x = 4. Present ages are 20 and 24. Difference = 4 years. Option A (8 years) would be correct if asked for sum of ages instead of difference.

Multiple choice

The ratio between present ages of Renu and Shweta is 5 : 4 . 4 years ago, Shweta's age was 24 years. What will be Renu's age after 5 years ?

  1. 39 years

  2. 40 years

  3. 32 years

  4. Can't be determined

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

Present ages: Renu = 5x, Shweta = 4x. 4 years ago: 4x - 4 = 24, so 4x = 28 and x = 7. Present ages: Renu = 35, Shweta = 28. After 5 years, Renu will be 35 + 5 = 40. Option C (32 years) is Shweta's present age, not Renu's future age.

Multiple choice

The ages of Jai and Veeru are in the ratio of 5:6 respectively.After 8 years the ratio of their ages will be 7:8.What is the difference in their ages? जय और वीरू की आयु का अनुपात क्रमशः 5 : 6 है। 8 वर्ष बाद उनकी आयु का अनुपात 7 : 8 होगा। उनकी आयु का अन्तर क्या है?

  1. 4 years/वर्ष

  2. 8 years/वर्ष

  3. 10 years/वर्ष

  4. 12 years/वर्ष
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let present ages be 5x and 6x. After 8 years: (5x+8)/(6x+8) = 7/8. Cross-multiplying: 40x+64 = 42x+56, so 2x=8 and x=4. The difference is 6x-5x = x = 4 years. The age difference is constant and doesn't change with time.

Multiple choice

The ratio of the present ages of Meena and Reena is 16 : 13 respectively. Four years ago the respective ratio of their ages was 14 : 11. What will be Reena's age after four years?

  1. 26

  2. 28

  3. 30

  4. 32

  5. 34
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let present ages be 16x and 13x. Four years ago: (16x-4)/(13x-4) = 14/11. Cross-multiplying: 176x-44 = 182x-56, so 6x = 12 and x = 2. Reena's present age = 13×2 = 26 years. After four years, Reena will be 26+4 = 30 years. Option C is correct.