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

If ratio of ages of P and Q before 4 year ago is 5 : 4 and after 12 years sum of their ages will be 68 years, their what was P’s age 2 years ago ? यदि 4 वर्ष पहले P और Q की आयु का अनुपात 5: 4 है और 12 वर्ष के बाद उनकी आयु का योग 68 वर्ष होगा , तो P की आयु 2 वर्ष पहले क्या थी?

  1. 24 years / वर्ष

  2. 22 years/ वर्ष

  3. 18 years/ वर्ष

  4. 26 years/ वर्ष

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

Let ages 4 years ago be 5P and 4Q. Current ages: 5P+4 and 4Q+4. After 12 years: 5P+16 and 4Q+16. Given sum = 68: 5P+4Q+32 = 68, so 5P+4Q = 36. Also P:Q = 5:4, so Q = 4P/5. Substituting: 5P + 4(4P/5) = 36. This gives P = 4. P's current age = 5(4)+4 = 24. P's age 2 years ago = 22.

Multiple choice

A's age is twice the B's age.If 10 years ago, A's age was four times the B's age.What is A's present age? A की आयु B की आयु की दोगुनी है। यदि 10 वर्ष पूर्व, A की आयु B की आयु की चार गुना थी तो A की वर्तमान आयु क्या है?

  1. 36 years

  2. 38 years

  3. 32 years

  4. 39 years

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

Let B's present age be x. Then A's present age is 2x. Ten years ago, A's age was 2x-10 and B's age was x-10. Given that 10 years ago A was four times B's age: 2x-10 = 4(x-10). Solving: 2x-10 = 4x-40, which gives 2x = 30, so x = 15. Therefore A's present age = 2×15 = 30 years.

Multiple choice

At present, the sum of ages of 4 people is 76. After 7 years, the ratio will be 7:6:5:8. Find out the present age of C? वर्तमान में, 4 लोगों की आयु का योग 76 है।7 वर्षों के बाद, अनुपात 7: 6: 5: 8 होगा। C की वर्तमान आयु ज्ञात कीजिये?

  1. 11

  2. 12

  3. 13

  4. 18

  5. 9
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

After 7 years, sum becomes 76 + (4×7) = 104. Ratio 7:6:5:8 means total parts = 26. One part = 104/26 = 4. After 7 years, ages are 28, 24, 20, 32. Present age of C = 20 - 7 = 13.

Multiple choice

Rahul’s age after 18 years will be 6 years less than twice his present age. The respective ratio between Suresh’s present age and Gokul’s present age is 4:3. If Gokul’s age 39 years hence will be same as 2.5 times Rahul’s present age. what will be Suresh’s age 8 years hence. 18 वर्ष के बाद राहुल की आयु उसकी वर्तमान आयु के दोगुने से 6 वर्ष कम होगी। सुरेश की वर्तमान आयु और गोकुल की वर्तमान आयु के बीच का अनुपात 4: 3 है। यदि 39 वर्ष पश्चात गोकुल की आयु राहुल की वर्तमान आयु के 2.5 गुना के बराबर है तो 8 वर्ष पश्चात सुरेश की आयु क्या होगी?

  1. 28

  2. 30

  3. 36

  4. 34

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

Let Rahul's present age = R. After 18 years: R + 18 = 2R - 6, so R = 24. Gokul after 39 years = 2.5 × 24 = 60, so Gokul's present age = 21. Suresh:Gokul = 4:3, so Suresh = (4/3) × 21 = 28. After 8 years: 28 + 8 = 36. Option C is correct.

Multiple choice

Average of the present ages of husband, wife and their child is 38 years. At the time of birth of the child, average age of the husband and wife was 39 years. Find the present age of the child ? पति, पत्नी और उनके बच्चे की वर्तमान आयु का औसत 38 वर्ष है। बच्चे के जन्म के समय, पति और पत्नी की औसत आयु 39 वर्ष थी। बच्चे की वर्तमान आयु ज्ञात कीजिये?

  1. 7 years

  2. 12 years

  3. 9 years

  4. 10 years

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

Total age of 3 people = 3×38 = 114 years. At child's birth (t years ago), parents' total age = 2×39 = 78 years. Parents aged t years each: 78 + 2t = (114 - t) - t = 114 - 2t. Solving: 78 + 2t = 114 - 2t gives 4t = 36, so t = 9. Wait - this gives child's age as t = 9, but option C is 9. Let me verify: H+W+C = 114, H+W = 78 at birth. Now H+W = 78 + 2t where t is child's age. So 78 + 2t + t = 114, t = 12. Yes, B is correct.

Multiple choice

Average of the ages of Rakesh, Mahesh, Suresh and Ramesh three years ago was 32 years. Average of the present ages of Mahesh and Suresh is 36 years. Ramesh is 4 years older than Rakesh. Find the present age of Rakesh ? तीन साल पहले राकेश, महेश, सुरेश और रमेश की उम्र का औसत 32 साल था। महेश और सुरेश की वर्तमान आयु का औसत 36 वर्ष है। रमेश राकेश से 4 साल बड़ा है। राकेश की वर्तमान आयु ज्ञात कीजिये?

  1. 32 year

  2. 36 year

  3. 34 year

  4. 38 year

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

Let the four ages 3 years ago be R, M, S, and Ra. Their average was 32, so sum was 4 × 32 = 128. Therefore, current sum = 128 + 12 = 140. Let Ra = Rk + 4 (Ramesh is 4 years older than Rakesh). Also, M + S = 2 × 36 = 72 (current average of Mahesh and Suresh is 36). So: Rk + (M + S) + Ra = 140. Substituting: Rk + 72 + (Rk + 4) = 140, giving 2Rk + 76 = 140, so 2Rk = 64, Rk = 32. Rakesh's present age is 32 years.

Multiple choice

6 years ago, the ratio of the ages of Arun and Prathap is 7: 6. Present age of Rajeev is 10 years more than one – sixth of Prathap’s present age. Find the ratio of present age of Prathap and Rajeev, if Arun’s age after 6 years is 40 years?

  1. 2:1

  2. 1:2

  3. 3:2

  4. 4:3

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

Let Arun and Prathap's ages 6 years ago be 7x and 6x. Present ages: Arun = 7x+6, Prathap = 6x+6. Arun after 6 years = 40, so 7x+12 = 40, x = 4. Prathap's present age = 6×4+6 = 30. Rajeev = 10 + (1/6)×30 = 15. Ratio Prathap:Rajeev = 30:15 = 2:1.

Multiple choice

B is as more younger than C as he is elder than A. Ratio of ages of A to C is 5 : 9. If B‘s age after 10 years will be 24, find the average of all of their present ages. B, C की तुलना में उतना ही छोटा है जितना की वह A से बड़ा है| A का C से आयु का अनुपात 5: 9 है। यदि 10 वर्ष के बाद B की आयु 24 वर्ष होगी, तो सभी के वर्तमान आयु का औसत ज्ञात कीजिए।

  1. 15

  2. 16

  3. 14

  4. 22

  5. 19
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

B's age after 10 years = 24, so present age = 14. B is equally younger than C and elder than A, meaning B's age is exactly midway between A and C. Therefore, A + C = 2B = 28. Given A:C = 5:9, let A = 5k, C = 9k. Then 5k + 9k = 28, giving k = 2. So A = 10, B = 14, C = 18. Average = (10+14+18)/3 = 14.