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

The average age of A and B is 20 years. If C were to replace A, the average would be 19 and if C were to replace B, the average would be 21, what are the ratio of ages of A, B and C? A और B की औसत आयु 20 वर्ष है। यदि C, A के स्थान पर आये तो औसत 19 होगा और यदि C, B के स्थान पर आये तो औसत 21होगा। A, B और C की आयु का अनुपात क्या है?

  1. 6 : 5 : 7

  2. 9 : 7 : 3

  3. 13 : 7 : 11

  4. 11 : 9 : 10
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Using the average information, we get three equations: A+B=40, B+C=38, A+C=42. Solving this system gives A=22, B=18, C=20. The ratio 22:18:20 simplifies to 11:9:10 when divided by 2. This problem requires setting up and solving a system of linear equations from average information.

Multiple choice

Kavita's present age is four times her son's present age and four – seventh of her father's present age. The average of the present ages of all three of them is 32 years. What is the difference between the Kavita's son's present age and father's present age? कविता की वर्तमान आयु उसके बेटे की वर्तमान आयु का चार गुना है और उसके पिता की वर्तमान आयु का चार-सप्तमांश हैं। उनमें से तीनों की वर्तमान आयु का औसत 32 साल है। कविता के बेटे की वर्तमान उम्र और पिता की वर्तमान उम्र में क्या अंतर है?

  1. 44 years/वर्ष

  2. 48 years/वर्ष

  3. 46 years/वर्ष

  4. 42 years/वर्ष
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let son's age = x. Then Kavita = 4x, and Kavita = (4/7) × father's age, so father's age = (7/4) × 4x = 7x. Average = (x + 4x + 7x)/3 = 32, so 12x = 96, x = 8. Son = 8, father = 56. Difference = 56 - 8 = 48 years.

Multiple choice

Ratio of Ashok's age to Pradeep's age is 3 : 2. Ashok will be 27 years old after 6 years. How old is Pradeep now? अशोक और प्रदीप की आयु का अनुपात 3 : 2 है। अशोक 6 वर्ष बाद 27 वर्ष का हो जाएगा। प्रदीप की वर्तमान आयु क्या होगी?

  1. 14 years/वर्ष

  2. 28 years/वर्ष

  3. 21 years/वर्ष

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

Ashok will be 27 after 6 years, so his current age is 21. The ratio of Ashok's age to Pradeep's age is 3:2. Therefore Pradeep's age = (2/3) × 21 = 14 years.

Multiple choice

The average age of 8 members of a committee is 40 years. If an old member of 55 years retires and a new member of 39 years is admitted what is the average age of the present committee? 8 सदस्यों की एक समिति की औसत आयु 40 वर्ष है। यदि एक बुजुर्ग सदस्य जिसकी उम्र 55 वर्ष है सेवानिवृत हो जाता है और एक नया सदस्य जिसकी उम्र 39 वर्ष है शामिल हो जाता है तो वर्तमान समिति की औसत आयु क्या हैं ?

  1. 39 years/वर्ष

  2. 38 years/वर्ष

  3. 36 years/वर्ष

  4. 35 years/वर्ष
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total age of 8 members = 8 × 40 = 320 years. After replacing 55-year-old with 39-year-old, new total = 320 - 55 + 39 = 304 years. New average = 304/8 = 38 years. The average decreases by (55-39)/8 = 16/8 = 2 years.

Multiple choice

The ratio between the ages of A and B is 7 : 9 and the ratio between the ages of B and C is 8 : 7. If after 7 years the age of C is 2 years less than the present age of B. Then find the age of A after 6 years. A और B की आयु के बीच का अनुपात 7 : 9 है और B और C की आयु के बीच का अनुपात 8: 7 है । यदि 7 वर्ष के बाद, C की आयु B की वर्तमान आयु से 2 वर्ष कम हो तो A की 6 वर्ष बाद की आयु ज्ञात कीजिये।

  1. 56 years/वर्ष

  2. 62 years/वर्ष

  3. 64 years/वर्ष

  4. 66 years/वर्ष
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let A=7x, B=9x. Given B:C=8:7, so 9x:C=8:7, hence C=63x/8. After 7 years, C+7=B-2. So 63x/8+7=9x-2. Solving: 63x+56=72x-16, so 9x=72, x=8. Present ages: A=56, B=72, C=63. A after 6 years = 56+6 = 62 years.

Multiple choice

4 years ago, the respective ratio between (\frac{1}{2}) of P’s age and four times of Q’s age was 5 : 12. Eight years hence (\frac{1}{2}) of P’s age will be less than Q’s age at that time by 2 years. What is Q’s present age?

  1. 8 yrs.

  2. 12 yrs.

  3. 10 yrs.

  4. 15 yrs.

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

Let P's present age = P, Q's present age = Q. 4 years ago: (P-4)/2 : 4(Q-4) = 5 : 12. So (P-4)/(8Q-32) = 5/12, giving 12(P-4) = 5(8Q-32), so 12P-48 = 40Q-160, or 12P = 40Q-112. 8 years hence: (P+8)/2 = (Q+8) - 2 = Q+6. So (P+8)/2 = Q+6, giving P+8 = 2Q+12, or P = 2Q+4. Substituting: 12(2Q+4) = 40Q-112, so 24Q+48 = 40Q-112, giving 160 = 16Q, so Q = 10. Option C is correct.

Multiple choice

Jayant was 3 times as old as to Puneet 8 years ago. He would be 2 times of his age 8 years from now. Four years ago, what was the ratio of Jayant's age to that of Puneet's age? 8 वर्ष पहले जयंत, पुनीत से 3 गुना बड़ा था | अब से 8 वर्ष बाद, वह उसकी उम्र का दोगुना हो जाएगा | चार वर्ष पहले, जयंत की उम्र का पुनीत की उम्र से क्या अनुपात था?

  1. 11: 3

  2. 13: 5

  3. 11: 5

  4. 5: 13
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let current ages be J (Jayant) and P (Puneet). 8 years ago: J - 8 = 3(P - 8), so J = 3P - 16. 8 years from now: J + 8 = 2(P + 8), so J = 2P + 8. Equating: 3P - 16 = 2P + 8, giving P = 24. Then J = 3(24) - 16 = 56. 4 years ago: Jayant was 52, Puneet was 20. Ratio = 52:20 = 13:5. Option B is correct.

Multiple choice

The average of the age of A, B and C is 35 years. After 5 years A will be two and half times as old as B who will be twice as old as C. Find the present age of C (in years). A, B और C की औसत आयु 35 वर्ष है। 5 वर्ष पश्चात् A, B की आयु का ढाई गुना हो जाता है जो कि C की आयु का दोगुना होगा| C की वर्तमान आयु (वर्षों में) ज्ञात कीजिए ।

  1. 15

  2. 10

  3. 20

  4. 25
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let current ages be A, B, C. A + B + C = 35 × 3 = 105. After 5 years: (A + 5) = 2.5 × (B + 5) and (B + 5) = 2 × (C + 5). From second equation: B = 2C + 5. Substituting in first: A + 5 = 2.5(2C + 10) = 5C + 25, so A = 5C + 20. Using sum: (5C + 20) + (2C + 5) + C = 105, giving 8C = 80, so C = 10. Option B is correct.

Multiple choice

Age of C at time of birth of B is equal to the present age of B. Ratio between age of A and C is (2 : 3). If the ratio of A and B after 6 years is (5 : 4), then find the present age of C

  1. 18

  2. 24

  3. 30

  4. 36

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let B's present age be b. When B was born, C's age was b (given), so C's present age is 2b. Since A:C = 2:3, A = (2/3)*2b = 4b/3. Given A+6:B+6 = 5:4, we have (4b/3 + 6)/(b + 6) = 5/4. Solving: 4(4b/3 + 6) = 5(b + 6) gives 16b/3 + 24 = 5b + 30. Rearranging: (16b - 15b)/3 = 6, so b = 18. Therefore C = 2b = 36 years.

Multiple choice

Present age of Dharam and his daughter Isha are in the ratio of 9 : 2 respectively Dharam's wife Hema is 3 years younger than him and two years hence the ratio between ages of Hema and Isha will be 7 : 2 respectively. What is Isha present age in years?

  1. 8 years

  2. 5 years

  3. 36 years

  4. 33 years

  5. 11 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let Isha's age be 2x and Dharam's age be 9x (ratio 9:2). Hema is 3 years younger than Dharam, so Hema's age = 9x - 3. Two years hence: Hema = 9x - 1, Isha = 2x + 2. Given ratio (9x - 1)/(2x + 2) = 7/2. Cross-multiply: 18x - 2 = 14x + 14. Solving: 4x = 16, x = 4. Isha's present age = 2x = 8 years.

Multiple choice

Anushka’s present age is 4 times of Madhu’s age and 3/4 of Vishal’s age. The sum of their present ages is 155 years. What is the difference between the present age of Anuska and present age of Vishal?

  1. 12 years

  2. 15 years

  3. 16 years

  4. 18 years

  5. 20 years
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let Madhu's age = x. Then Anushka = 4x, and 4x = 3/4(Vishal), so Vishal = 16x/3. Sum: x + 4x + 16x/3 = 155. Multiply by 3: 3x + 12x + 16x = 465, so 31x = 465, x = 15. Anushka = 60, Vishal = 80. Difference = 80 - 60 = 20 years. Option E matches.