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

Rahul is three times as old as Amar. Amber was half the age of Rahul three years ago. After four years from now, Rahul will be 43. What are the present ages of Amar and Amber?

  1. 13, 18

  2. 39, 21

  3. 38, 21

  4. 13, 21
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Given: After 4 years, Rahul will be 43, so present Rahul = 39. Rahul is 3 times Amar's age, so Amar = 39/3 = 13. Amber was half of Rahul's age 3 years ago: 3 years ago Rahul was 36, half is 18, so Amber's present age = 18 + 3 = 21. Therefore: Amar = 13, Amber = 21. Option D matches.

Multiple choice

The ratio between the present ages of the son and his father is (1: 3). Find the present age of the father. \newline Statement I: Difference between the present ages of the mother and her son is 22 years. \newline Statement II: Difference between the present ages of the father and his son is 26 years. \newline Statement III: The present age of mother is 4 years less than thrice the present age of her son.

  1. Only I and III together

  2. Either II alone or I and III together

  3. Any two of them

  4. All statements are required

  5. Question can’t be answered even after using all the statements.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let son's age = x, then father's age = 3x (given ratio 1:3). Statement II alone gives: 3x - x = 26 years, so 2x = 26, x = 13, father = 39 years. This is sufficient. Alternatively, Statements I and III together: from I, mother = x + 22; from III, mother = 3x - 4. Equating: x + 22 = 3x - 4, so 2x = 26, x = 13, father = 39 years. Statement I alone is insufficient (only mother-son difference). Statement III alone is insufficient (only mother-son relation). Therefore, either II alone OR I and III together are sufficient.

Multiple choice

If twice the son's age added to the father's age the sum is 70. But if father's twice age added to the son's age the sum is 95. Find the ages of father and son? यदि पिता की आयु में बेटे की उम्र के दोगुने को जोड़ दिया जाए तो यह योग 70 वर्ष हो जाता है। लेकिन पिता की आयु की दोगुनी उम्र को बेटे की उम्र में जोड़ दिया जाए तो यह योग 95 हो जाता है। पिता और पुत्र की आयु को ज्ञात कीजिए ?

  1. 25, 5

  2. 36 , 8

  3. 15, 40

  4. 15, 45

  5. 40, 15
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let father's age be F and son's age be S. From the problem: F + 2S = 70 and 2F + S = 95. Solving these simultaneously: multiply first equation by 2 gives 2F + 4S = 140. Subtract second equation: (2F + 4S) - (2F + S) = 140 - 95, which gives 3S = 45, so S = 15. Substituting back: F + 30 = 70, so F = 40. The father is 40 years old and the son is 15.

Multiple choice

Ananya was married 8 years ago and ratio of her present age to the age of her at the time of marriage is 4:3. After 5 years of marriage she gave birth to a baby. Find the sum of age of Ananya and her baby 3 years hence. अनन्या की शादी 8 साल पहले हुई थी और उसकी वर्तमान आयु का विवाह के समय की आयु से अनुपात 4: 3 है। शादी के 5 साल बाद उसने एक बच्चे को जन्म दिया। इसलिए 3 साल की अनन्या और उसके बच्चे की उम्र का योग ज्ञात कीजिये।

  1. 38

  2. 42

  3. 41

  4. 40

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

Let Ananya's present age be 4x, age at marriage be 3x. Marriage was 8 years ago, so 4x - 3x = 8, x = 8. Present age = 4×8 = 32 years. Baby born 5 years after marriage, so baby's current age = 8 - 5 = 3 years. After 3 years: Ananya = 35, baby = 6. Sum = 35 + 6 = 41. Correct answer is option C.

Multiple choice

5 years ago, the ratio of A’s and B’s age is 5 : 4 . The sum of the present ages of A , B and C is 110 years . If C’s present age is equal to the sum of present ages of A and B . What is the present age of A ? 5 साल पहले , A और B की आयु का अनुपात 5 : 4 है। A , B और C की वर्तमान आयु का योग 110 वर्ष है। यदि C की वर्तमान आयु A और B की वर्तमान आयु के योग के बराबर है। A की वर्तमान आयु क्या है ?

  1. 30 years 30 वर्ष

  2. 25 years 30 वर्ष

  3. 35 years 35 वर्ष

  4. 55 years 55 वर्ष

  5. None of Tvhese इनमे से कोई नहीं
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let A-5 = 5x and B-5 = 4x. Present ages: A = 5x+5, B = 4x+5. C = A+B = 9x+10. Sum: (5x+5)+(4x+5)+(9x+10) = 18x+20 = 110. Solving gives x=5, so A = 5(5)+5 = 30 years.

Multiple choice

Twenty years ago the age of father is four times the age of son. After 20 years from now the ratio of father's age and son's age will be 8:5. What is sum of their present ages? 20 वर्ष पहले पिता की आयु पुत्र की आयु का चार गुना थी। अब से 20 वर्ष बाद पिता और पुत्र की आयु का अनुपात 8 : 5 है। दोनों की वर्तमान आयु का योग कितना है?

  1. 100 years 100 वर्ष

  2. 120 years 120 वर्ष

  3. 90 years 90 वर्ष

  4. 80 years 80 वर्ष

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

Let present ages be F (father) and S (son). 20 years ago: F-20 = 4(S-20), so F = 4S - 60. After 20 years: (F+20)/(S+20) = 8/5, so 5(F+20) = 8(S+20), giving 5F - 8S = 60. Substituting F = 4S - 60: 5(4S-60) - 8S = 60, so 20S - 300 - 8S = 60, giving 12S = 360, S = 30. Then F = 4(30) - 60 = 60. Sum = 60 + 30 = 90. The claimed answer C (90 years) is correct.

Multiple choice

Four years ago ratio of age of Saumya and Raveena was 8:11 respect. Four year hence ratio of their age will be 4:5 respectively. Find the sum of their present ages. चार पूर्व सौम्या तथा रवीना के आयु का अनुपात क्रमशः 8 : 11 था। चार वर्ष पश्चात् उनकी आयु का अनुपात क्रमशः 4 : 5 होगा। उनकी वर्तमान आयु का योग ज्ञात कीजिए।

  1. 42

  2. 46

  3. 48

  4. 45

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

Let present ages be S and R. Four years ago: (S-4)/(R-4) = 8/11, so 11(S-4) = 8(R-4). In 4 years: (S+4)/(R+4) = 4/5, so 5(S+4) = 4(R+4). Solving: 11S - 44 = 8R - 32 gives 11S - 8R = 12. And 5S + 20 = 4R + 16 gives 5S - 4R = -4. Solving this system: S = 20, R = 26. Sum = 46.

Multiple choice

A persons present age is two-seventh of the age of his mother. After 10 years he will be four-ninth of the age of his mother. How old is the mother after 15 years? एक व्यक्ति का वर्तमान आयु उसकी माता की वर्तमान आयु का दो-सातवाँ है| 10 वर्ष बाद अपनी माँ की आयु का चार-नौवां हो जाएगा| 15 वर्ष पश्चात उसकी माँ की आयु कितनी होगी?

  1. 50

  2. 35

  3. 45

  4. 60

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

Let the mother's current age be M. Then the person's current age is (2/7)M. After 10 years, (2/7)M + 10 = (4/9)(M + 10). Solving: 18M + 630 = 28M + 280, so 10M = 350 and M = 35. After 15 years, the mother's age = 35 + 15 = 50 years.

Multiple choice

5 years ago, the average age of A, B and C was 25 years and 7 years ago, the average age of B and C was 20 years. What is A's present age? 5 वर्ष पहले A, B तथा C की औसत आयु 25 वर्ष थी एवं 7 वर्ष पहले B और C की औसत आयु 20 वर्ष थी। A की वर्तमान आयु क्या है?

  1. 21 years 21 वर्ष

  2. 24 years 24 वर्ष

  3. 29 years 29 वर्ष

  4. 30 year 30 वर्ष

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

5 years ago, average age of A,B,C was 25, so sum of their ages was 75. Present sum = 75 + 15 = 90. 7 years ago, average age of B,C was 20, so sum was 40. Present sum of B,C = 40 + 14 = 54. A's present age = 90 - 54 = 36 years. Option A (21) is too low, Option B (24) is 12 years short, and Option D (30) is 6 years short. Since 36 is not listed, Option E is correct.

Multiple choice

Nine years ago, the age of a father was three years more than six time the age of his son. Four years hence, his age will be seven years less than 3.5 times the age of his son. After how many years from now will their combined age be 100 years? नौ वर्ष पहले एक पिता की उम्र अपने बेटे की उम्र के छह गुने से तीन वर्ष अधिक थी । चार वर्ष पश्चात उसकी उम्र उनके बेटे की उम्र के 3.5 गुना से सात वर्ष कम होगी। अब से कितने वर्षों के बाद उनकी संयुक्त उम्र 100 वर्ष हो जाएगी?

  1. 2

  2. 8

  3. 12

  4. 9

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

Let father's current age = f, son's current age = s. Nine years ago: (f-9) = 6(s-9) + 3, giving f - 9 = 6s - 54 + 3 or f = 6s - 42. Four years hence: (f+4) = 3.5(s+4) - 7, giving f + 4 = 3.5s + 14 - 7 or f = 3.5s + 3. Solving: 6s - 42 = 3.5s + 3, giving 2.5s = 45 or s = 18. Father's age f = 6×18 - 42 = 66. Current sum = 84. We need sum to be 100, which is 16 more. In x years, sum = 84 + 2x = 100, giving 2x = 16 or x = 8.