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

Difference of the age of two person is 16 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age. दो व्यक्ति की आयु का अंतर 16 वर्ष है।6 वर्ष पहले, उनमे से बड़े की आयु छोटे की आयु की 3 गुना थी। उनकी वर्तमान आयु क्या है ?

  1. 13 years , 29 years 13 वर्ष , 29 वर्ष

  2. 14 years , 30 years 14 वर्ष , 30 वर्ष

  3. 15 years , 31 years 15 वर्ष , 31 वर्ष

  4. 17 years , 33 years 17 वर्ष , 33 वर्ष

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

Let present ages be x and y with x > y. Given x - y = 16. Six years ago: (x - 6) = 3(y - 6). Solving: x - 6 = 3y - 18, so x - 3y = -12. From first equation, x = y + 16. Substituting: y + 16 - 3y = -12, so -2y = -28, y = 14. Therefore x = 14 + 16 = 30. Present ages are 14 and 30 years.

Multiple choice

If the sum of present ages of A,B and C is 50 years.Before 5 years the ratio of their ages was 1: 2 : 4. Present age of B is - A, B और C की वर्तमान आयु का योग 50 वर्ष है। यदि 5 वर्ष पहले उनकी आयु का अनुपात 1 : 2 : 4 था तो B की वर्तमान आयु क्या है?

  1. 15 years 15 वर्ष

  2. 10 years 10 वर्ष

  3. 20 years 20 वर्ष

  4. 25 years 25 वर्ष

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

Let ages 5 years ago be x, 2x, and 4x. Present ages are (x+5), (2x+5), (4x+5). Their sum is 50, so x+5+2x+5+4x+5=50, giving 7x+15=50, so 7x=35 and x=5. B's present age is 2x+5 = 2(5)+5 = 15 years.

Multiple choice

Raju age after 15 years will be 5 times his age 5 years back. What is the present age of Raju? 15 साल बाद राजू आयु 5 साल पहले की आयु की 5 गुनी हो जाएगी राजू की वर्तमान आयु क्या है?

  1. 8 years 8 वर्ष

  2. 10 years 10 वर्ष

  3. 13 years 13 वर्ष

  4. 14 years 14 वर्ष

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

Let Raju's present age be x. After 15 years his age will be x + 15, and 5 years back his age was x - 5. The equation is x + 15 = 5(x - 5), which gives x + 15 = 5x - 25, so 4x = 40 and x = 10 years.

Multiple choice

10 years back, the sum of the ages of mother and her daughter was 45. If the ratio of their present ages be 9:4, then what is the ratio between their ages after 5 years? 10 वर्ष पहले एक माता और पुत्री की आयु का योग 45 वर्ष था। यदि उनकी वर्तमान आयु का अनुपात 9 : 4 है तो 5 वर्ष पश्चात उनकी आयु के बीच का अनुपात कितना होगा?

  1. 5:3

  2. 3:2

  3. 2:1

  4. 4:3

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

Let present ages be 9x and 4x. Ten years ago: (9x-10) + (4x-10) = 45, so 13x = 65 and x = 5. Present ages are 45 and 20 years. After 5 years, ages will be 50 and 25, giving ratio 50:25 = 2:1. Option A (5:3) would be 62.5:37.5 and Option B (3:2) would be 67.5:45.

Multiple choice

Ratio of ages of three persons is 4:7:9, Eight years ago, the sum of their ages was 56. Find the sum of their present ages. तीन व्यक्तियों की आयु का अनुपात 4:7:9 है, आठ वर्ष पहले, उनकी आयु का योग 56 था। उनकी वर्तमान आयु का योग ज्ञात कीजिए।

  1. 64 years 64 वर्ष

  2. 72 years 72 वर्ष

  3. 80 years 80 वर्ष

  4. 88 years 88 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 4k, 7k, 9k. Sum = 20k. Eight years ago, sum was 20k - 24 = 56. Solving: 20k = 80, so k = 4. Present sum = 20k = 80. Option C is correct. This involves setting up the age ratio and accounting for the time shift.

Multiple choice

Ten years ago, Rashmi was half of Garima in age. If the ratio of their present ages is 3:4, what will be the total of their present ages? दस वर्ष पूर्व, रश्मि की आयु गरिमा की आयु की आधी थी।उनकी वर्तमान आयु का अनुपात 3: 4 है,उनकी वर्तमान आयु का कुल योग क्या होगा?

  1. 35 years 35 वर्ष

  2. 38 years 38 वर्ष

  3. 44 years 44 वर्ष

  4. 49 years 49 वर्ष

  5. 52 years 52 वर्ष
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let present ages be 3x and 4x. Ten years ago: Rashmi was (3x-10) and Garima was (4x-10). Given: (3x-10) = 1/2 × (4x-10). Solving: 3x-10 = 2x-5, so x = 5. Present ages: 3×5=15 and 4×5=20. Total = 15+20 = 35 years. Option A is correct.

Multiple choice

The ratio of ages of Ajay and Naval is 2 : 3 respectively. 12 years hence the ratio of their ages will be 11 : 15. What is the Naval's present age ? अजय और नवल की आयु का अनुपात क्रमशः 2 : 3 है। 12 वर्ष पश्चात् उनकी आयु का अनुपात 11 : 15 होगा। नवल की वर्तमान आयु क्या है?

  1. 32 years 32 वर्ष

  2. 42 years 42 वर्ष

  3. 48 years 48 वर्ष

  4. 56 years 56 वर्ष

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

Let Ajay's age = 2x and Naval's age = 3x. After 12 years: (2x+12)/(3x+12) = 11/15. Cross-multiplying: 15(2x+12) = 11(3x+12), which gives 30x + 180 = 33x + 132. Solving: 3x = 48, so x = 16. Naval's present age = 3x = 3 × 16 = 48 years. Verification: Ajay = 32 years. After 12 years: Ajay = 44, Naval = 60. Ratio 44:60 = 11:15. The ratio checks out.

Multiple choice

Sachin was twice as old as Ajay 10 years ago. What is Ajay’s present age if Sachin will be 40 years old 10 years hence? 10 वर्ष पूर्व सचिन की आयु ,अजय की आयु की दोगुनी थी। अब से 10 वर्ष बाद सचिन की आयु 40 वर्ष हो जाएगी तो अजय की वर्तमान आयु क्या है?

  1. 12 years 12 वर्ष

  2. 16 years 16 वर्ष

  3. 20 years 20 वर्ष

  4. 26 years 26 वर्ष

  5. 32 years 32 वर्ष
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Ajay's age 10 years ago = x. Then Sachin's age 10 years ago = 2x. Present ages: Ajay = x+10, Sachin = 2x+10. Given: Sachin will be 40 in 10 years, so 2x+10+10=40, therefore 2x=20, x=10. Ajay's present age = 10+10 = 20 years.

Multiple choice

Father's present age is four times son's present age. After 5 years father's age will be thrice the son's age. What is father's present age ? पिता की वर्तमान आयु पुत्र की वर्तमान आयु की 4 गुनी है। 5 वर्ष बाद पिता की आयु पुत्र की आयु की तीन गुनी होगी। पिता की वर्तमान आयु क्या होगी ?

  1. 32 years 32 वर्ष

  2. 30 years 30 वर्ष

  3. 44 years 44 वर्ष

  4. 40 years 40 वर्ष

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

Let son's age = x. Father = 4x. After 5 years: 4x + 5 = 3(x + 5). Solving: 4x + 5 = 3x + 15, so x = 10. Father's present age = 4×10 = 40 years.

Multiple choice

The average age of a man and his son is 45 years. The ratio of their age is 2 : 1 respectively. What is the son's age? एक व्यक्ति और उसके पुत्र की औसत आयु 45 वर्ष है और उनकी आयु का अनुपात क्रमशः 2 : 1 है, तो पुत्र की आयु क्या है?

  1. 20 years 20 वर्ष

  2. 25 years 25 वर्ष

  3. 30 years 30 वर्ष

  4. 35 years 35 वर्ष

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

Let man's age be 2x and son's age be x. Average is (2x + x)/2 = 45, so 3x = 90, giving x = 30. The son's age is x = 30 years. Checking: Man is 60, son is 30, average is 45, ratio is 2:1.

Multiple choice

The ratio of the age of Abhimanyu and Brajesh, 5 years ago was 4:5 and 5 years hence, the ratio of their ages will be 6:7. If at present Chintanmani is 10 years younger than brajesh, then find the ratio between the present ages of Abhimanyu and Chintanmani.

  1. 5:4

  2. 5:3

  3. 4:3

  4. 3:2
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let ages 5 years ago be 4x and 5x. Current: 4x+5 and 5x+5. In 5 years: (4x+10)/(5x+10)=6/7 gives x=5. Present ages: Abhimanyu=25, Brajesh=30. Chintanmani=30-10=20. Ratio 25:20=5:4.

Multiple choice

The ratio between the ages of a father and a son at present is 5 : 2, respectively. Four years hence, the ratio between the ages of the son and his mother will be 1 : 2, respectively. What is the ratio between the present ages of the father and the mother respectively? वर्तमान में पिता और पुत्र की आयु के बीच का अनुपात क्रमशः 5 : 2 है। चार साल बाद पुत्र और उसकी माता की आयु के बीच का अनुपात क्रमशः 1 : 2 होगा। क्रमश: पिता और माता की वर्तमान आयु के बीच अनुपात क्या है?

  1. 7 : 9

  2. 3 : 4

  3. 4 : 3

  4. Can't be determined निर्धारित नहीं किया जा सकता है ।

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

We have father:son = 5:2 and son+4:mother+4 = 1:2. Let son = 2x, father = 5x. Then (2x+4)/(mother+4) = 1/2, so mother+4 = 4x+8, meaning mother = 4x+4. Father:mother = 5x:(4x+4) = 5x:4(x+1). Without knowing x's value, the ratio cannot be simplified to a fixed numerical ratio. Option D is correct.

Multiple choice

Kamal's present age is three years less than twice his age 12 years ago,also the ratio of Kamlesh present age to Kamal's present age is 4:9.What will be Kamlesh's age after 4 years? कमल की वर्तमान आयु 12 वर्ष पहले उसकी आयु के दुगुने से 3 वर्ष कम है तथा कमलेश तथा कमल की वर्तमान आयु के बीच अनुपात 4 : 9 है तो 4 वर्ष बाद कमलेश की आयु बताओ?

  1. 16 years 16 वर्ष

  2. 17 years 17 वर्ष

  3. 18 years 18 वर्ष

  4. Can not be determined तय नहीं कर सकते

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

Let Kamal's present age be K. Given K = 2(K - 12) - 3. Solving: K = 2K - 24 - 3, so K = 27. Kamal:Kamlesh = 9:4, so Kamlesh = (4/9) × 27 = 12. After 4 years, Kamlesh will be 16. The age ratio determines Kamlesh's current age, then add 4.

Multiple choice

If 10 years are subtracted from the present age of Shyam and the remainder is divided by 7, then the present age of his grandson Sangram is obtained. If Sangram is 2 years older to Avinash whose age is 7 years, then what is Shyam’s present age? यदि श्याम की वर्तमान आयु से 10 वर्ष घटाए जाते हैं और शेष 7 से विभाजित किया जाता है, तो उसके पोते संग्राम की वर्तमान आयु प्राप्त की जाती है। अगर संग्राम अविनाश से 2 साल बड़ा है जिसकी उम्र 7 साल है, तो श्याम की वर्तमान उम्र क्या है?

  1. 45 years/वर्ष

  2. 78 years/वर्ष

  3. 53 years/वर्ष

  4. 73 years/वर्ष

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

Avinash's age = 7 years. Sangram is 2 years older than Avinash, so Sangram's age = 7 + 2 = 9 years. Given: (Shyam's age - 10) / 7 = Sangram's age. So: (S - 10)/7 = 9 → S - 10 = 63 → S = 73 years. Option D is correct.