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

7 years ago ratio of age of Anil and Seema was (11 : 5), 8 years hence this ratio becomes (7 : 4). After 10 years what will be sum of their ages?

  1. 112 year

  2. 114 years

  3. 118 years

  4. 124 years

  5. 121 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Anil's age 7 years ago = 11x, Seema's age 7 years ago = 5x. After 15 years (7+8), ratio becomes 7:4. So: (11x+15)/(5x+15) = 7/4. Cross-multiplying: 4(11x+15) = 7(5x+15). 44x + 60 = 35x + 105. 9x = 45, x = 5. Present ages: Anil = 11x + 7 = 55 + 7 = 62, Seema = 5x + 7 = 25 + 7 = 32. After 10 years: Anil = 72, Seema = 42. Sum = 72 + 42 = 114 years.

Multiple choice

Five years ago, Vinay’s age was one-third the age of Vikas, and now, Vinay’s age is 17 years. What is the present age of Vikas? पांच साल पहले, विनय की उम्र विकास की उम्र एक तिहाई थी, और अब, विनय की उम्र 17 साल है। विकास की वर्तमान उम्र क्या है?

  1. 19 years/ वर्ष

  2. 36 years/ वर्ष

  3. 41 years/ वर्ष

  4. 51 years/ वर्ष
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Vinay is now 17, so 5 years ago he was 12. At that time, Vinay's age was 1/3 of Vikas's age, so Vikas was 12 x 3 = 36 years old. Now, 5 years later, Vikas is 36 + 5 = 41 years old.

Multiple choice

A father's age is four times his son's age. If there age's sum is 40, so what is the father's age ? एक पिता की आयु उसके पुत्र की आयु की चार गुनी है। यदि उनकी आयु का योगफल 40 वर्ष है, तो पिता की आयु क्या है ?

  1. 48

  2. 32

  3. 08

  4. 40
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let son's age be x. Then father's age is 4x. Sum: x + 4x = 40, so 5x = 40, x = 8. Father's age = 4×8 = 32 years. Option B is correct. Option A (48) would make sum 56, not 40. Option C (8) is the son's age, not father's. Option D (40) is the sum, not father's age.

Multiple choice

The age of Sunita's father today is four times as that of her age. After 8 years, the age of her father will be three times that of her age. What is Sunita's age today? सुनीता के पिता की आयु इस समय उसकी आयु की चार गुनी है। 8 वर्षों बाद, उसके पिता की आयु उसकी आयु की तीन गुनी हो जाएगी। इस समय सुनीता की आयु कितनी है?

  1. 18 years / वर्ष

  2. 16 years / वर्ष

  3. 24 years / वर्ष

  4. 20 years / वर्ष
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Sunita's age = x, Father's age = 4x. After 8 years: (4x+8) = 3(x+8). Solving: 4x+8 = 3x+24, so x = 16. Check: Father is 64 (4×16). After 8 years: Sunita is 24, Father is 72. 72 = 3×24. Correct.

Multiple choice

The age of Pankaj is four times the age of his son. After 10 years, the age of Pankaj will be twice the age of his son. What is the present age of Pankaj’s son? /पंकज की आयु उसके पुत्र की आयु की चार गुनी है। 10 वर्ष पश्चात पंकज की आयु उनके पुत्र की आयु से दुगनी हो जाती है। पंकज के पुत्र की वर्तमान आयु क्या है?

  1. 8

  2. 7

  3. 5

  4. 6
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the son's present age be x years. Then Pankaj's present age is 4x years. After 10 years: Pankaj's age = 4x + 10, son's age = x + 10. Given that Pankaj's age will be twice his son's age: 4x + 10 = 2(x + 10). Solving: 4x + 10 = 2x + 20 → 2x = 10 → x = 5. The son's present age is 5 years.

Multiple choice

Three years ago, the ratio between P's age and Q's age was 9 : 5. After 2 years, P's age will be 17 years more than that of the age of Q after 5 years. What is Q's present age? तीन वर्ष पहले, P की आयु और Q की आयु में अनुपात 9 : 5 था। 2 वर्ष बाद, P की आयु पांच वर्ष पश्चात Q की आयु से 17 वर्ष ज्यादा होगी। Q की वर्तमान आयु क्या है?

  1. 25 years/वर्ष

  2. 26 years/वर्ष

  3. 27 years/वर्ष

  4. 28 years/वर्ष
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Three years ago: (P-3)/(Q-3) = 9/5, so 5P-15 = 9Q-45, giving 5P-9Q = -30. After 2 years: P+2 = (Q+5)+17, so P-Q = 20. Solving: 5(20+Q)-9Q = -30 gives 100+5Q-9Q = -30, so -4Q = -130 and Q = 32.5. This gives P = 52.5. Check: P+2 = 54.5, Q+5 = 37.5, difference = 17. ✓ Q's present age from 3 years ago being 5: 32.5-3 = 29.5, but option D (28) is closest. Wait, let me recalculate...

Multiple choice

3 years ago ratio of age of Ragini and Samta was 5 : 4 which becomes 11 : 9, 2 years hence. Find the sum of their present ages./ 3 वर्ष पूर्व रागिनी तथा समता की उम्र का अनुपात 5: 4 था जो कि दो वर्ष पश्चात् 11: 9 हो गया। उनकी वर्तमान आयु का योग ज्ञात कीजिए।

  1. 80 years/ वर्ष

  2. 76 years/ वर्ष

  3. 72 years/ वर्ष

  4. 96 years/ वर्ष
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Ragini's and Samta's ages 3 years ago be 5x and 4x. Present ages: 5x+3 and 4x+3. After 2 years (5 years from -3): ages are 5x+5 and 4x+5. Given ratio 11:9, so (5x+5)/(4x+5) = 11/9. Solving: 45x+45 = 44x+55, so x = 10. Present sum = (5×10+3) + (4×10+3) = 53+43 = 96 years.

Multiple choice

The sum of the age of father and his son is 68 years. The ratio of their ages is 3: 1 respectively. What is the age of the son? एक पिता और पुत्र की आयु का कुल जोड़ 68 वर्ष है और इनकी आयु का अनुपात 3: 1 इसी क्रम में है तो यह ज्ञात कीजिए कि पुत्र की आयु कितनी है?

  1. 51

  2. 16

  3. 17

  4. 18
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Given the ratio 3:1, the total parts are 3 + 1 = 4 parts. Each part equals 68/4 = 17 years. The son corresponds to 1 part, so son's age is 17 years. Father is 51 years (3 parts). This is a standard ratio-based age division.

Multiple choice

A father's age is twice of his son’s age. If the sum of their ages is 48 then what is his father’s age?/एक पिता की आयु अपने पुत्र की आयु की दोगुनी है। यदि उनकी आयु का योग 48 वर्ष है, तो पिता की आयु क्या है?

  1. 32

  2. 24

  3. 16

  4. None of these/इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let son's age be x. Then father's age is 2x. Sum: x + 2x = 48, so 3x = 48, giving x = 16. Therefore father's age = 2 × 16 = 32 years. Option A is correct. Option B (24) would be the son's age if father were 48, not the sum.

Multiple choice

The ratio of present ages of Vishal and Shekhar is 14 : 17. After 6 years the ratio of their ages will be 17 : 20. What is the present age of Shekhar ?

  1. 17 years

  2. 51 years

  3. 34 years

  4. 28 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let present ages be 14x and 17x. After 6 years: (14x + 6)/(17x + 6) = 17/20. Cross-multiplying: 20(14x + 6) = 17(17x + 6). Solving: 280x + 120 = 289x + 102, so 9x = 18 and x = 2. Shekhar's present age = 17x = 17 × 2 = 34 years. Option C is correct.

Multiple choice

My father was 42 years of age when I was born while my mother was 38 years old when my brother 3 years younger than me was born. What is the difference between the ages of my parents? मेरे पिता की आयु 42 वर्ष थी जब मैं पैदा हुआ था जबकि मेरी माता की आयु 38 वर्ष थी जब मेरा भाई पैदा हुआ था जोकि मुझसे 3 वर्ष छोटा है | मेरे माता - पिता की आयु में क्या अन्तर है ?

  1. 6 years/वर्ष

  2. 7 years/वर्ष

  3. 8 years/वर्ष

  4. 5 years/वर्ष
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Father was 42 when I was born. Mother was 38 when my brother (3 years younger than me) was born, so mother was 38 - 3 = 35 when I was born. Age difference = 42 - 35 = 7 years. This remains constant throughout.

Multiple choice

Seven years ago, the ratio of the age of A to that of B, was 7 : 9. C is 12 years older than A and 12 years younger than B. What is C's present age? सात वर्ष पहले, A का B की आयु से अनुपात, 7 : 9 था | C, A से 12 वर्ष बड़ा है और B से 12 वर्ष छोटा है | C की वर्तमान आयु है ?

  1. 93 years/वर्ष

  2. 103 years/वर्ष

  3. 105 years/वर्ष

  4. 96 years/वर्ष
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Seven years ago, A:B = 7:9, so let A's age = 7x, B's age = 9x. Currently, A = 7x+7, B = 9x+7. Given C is 12 years older than A and 12 years younger than B: C = A+12 = B-12. Equating: 7x+7+12 = 9x+7-12, which gives 7x+19 = 9x-5, so 2x = 24 and x = 12. C's present age = 7(12)+7+12 = 84+7+12 = 96 years. Option D is correct.