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 husband and wife and their son was 40 years, the son got married and a child was born just two year after their marriage, when child turned to 10 years, then the average age of the family becomes 38 years. What was the age of the daughter in law at the time of marriage ?

  1. 12 yr.

  2. 13 yr.

  3. 14 yr.

  4. 15 yr.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Initial total age = 40 * 3 = 120 years. At child's 10th birthday, total family age = 38 * 5 = 190 years. The 70-year increase spans: 10 years for each of 3 original members, 10 years for the child, and 12 years for daughter-in-law from marriage to child's 10th birthday. 70 - 30 - 10 - 12 = 18, so her age at marriage was 18 - 12 = 12 years.

Multiple choice

The respective ratio between present age of Aanchal and Bhavna is 3 : 11. Bhavna is 12 years younger to Chhavi. Chhavi’s age after 7 years will be 85 years. What is the present age of Aanchal’s father who is 25 years older than Aanchal?

  1. 43 years

  2. 67 years

  3. 45 years

  4. 69 years

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

Chhavi's age after 7 years = 85, so present age = 78. Bhavna is 12 years younger than Chhavi, so Bhavna = 78-12 = 66. Aanchal:Bhavna = 3:11, so 3x = 66, x = 22, Aanchal = 3×22 = 18. Aanchal's father is 25 years older = 18+25 = 43 years. Option A is correct.

Multiple choice

Vivek got engaged 10 year ago. Vivek's present age is 5/3 of his age at the time of engagement. If the present age of Vivek's father is twice that of present age of Vivek, then what was his father's age of Vivek, then what was his father's age (in year) at the the time of her engagement? विवेक की सगाई 10 वर्ष पहले हुई थी विवेक की वर्तमान आयु उसके सगाई के समय के आयु की 5/3 है। यदि विवेक के पिता की वर्तमान आयु उसके वर्तमान आयु की दोगुनी हो तो विवेक के सगाई के समय उसके पिता की आयु (वर्षों में) क्या थी?

  1. 20

  2. 30

  3. 40

  4. 50
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Vivek's age at engagement be x. His present age (x+10) equals 5/3 of x, so x+10 = 5x/3. Solving: 3x+30 = 5x, so 2x = 30, x = 15. Vivek's present age = 25. Father's present age = 2×25 = 50. At engagement (10 years ago), father was 50−10 = 40. The question has grammatical errors ('her engagement' for 'his engagement') but the calculation leads to 40.

Multiple choice

Father is aged three times more than his son Prashant. After 8 years, he would be two and a half times of Prashant's age. After further how many years, he would be 2 times of Prashant's age? पिता अपने बेटे प्रशांत से तीन गुना अधिक उम्र के हैं। 8 वर्ष बाद, वह प्रशांत की उम्र का ढाई गुना होंगे। कितने और वर्षों बाद, वह प्रशांत की उम्र का 2 गुना होंगें?

  1. 8 years/ वर्ष

  2. 12 years/ वर्ष

  3. 6 years/ वर्ष

  4. 10 years/ वर्ष
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let Prashant's age be x. Father's age = x + 3x = 4x. After 8 years: 4x + 8 = 2.5(x + 8), giving x = 8. Current ages: Prashant = 8, Father = 32. After 8 years: Prashant = 16, Father = 40. Let further years be y: 40 + y = 2(16 + y), giving y = 8.

Multiple choice

In family, Neelam who is wife of Vipin is 2 years younger to Vipin. Ratio of ages of Neelam and Vipin's brother Praveen is 4: 3. Find the present age of Vipin's father Sushil who is 20 years older to Vipin if the age of Praveen after 15 years from now will be 33 years.

  1. 44 years

  2. 42 years

  3. 46 years

  4. 40 years

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

Let Vipin's age = V. Neelam = V - 2. Neelam:Praveen = 4:3, so Praveen = 3/4 × (V - 2). After 15 years, Praveen = 33, so current Praveen = 18. Therefore 3/4 × (V - 2) = 18, giving V = 26. Father Sushil = V + 20 = 46 years. Option A is 44 years (incorrect). Option B is 42 years (incorrect). Option D is 40 years (incorrect).

Multiple choice

A and B are friends and their ages differ by 2 years. A's father D is twice as old as A and B is twice as old as his sister C. The age of D and C differ by 40 years. Find the age of A. A और B दो मित्र है और उनकी आयु का अन्तर 2 वर्ष है। A के पिता D, A की आयु का दुगना है और B अपनी बहन C की आयु का दुगुना है । D और C की आयु का अन्तर 40 वर्ष है । A की आयु ज्ञात कीजिए।

  1. 26 years/वर्ष

  2. 28 years/वर्ष

  3. 24 years/वर्ष

  4. 30 years/वर्ष
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let A's age = a, then B = a+2 (or a-2). D = 2a (given). Let C = c, then B = 2c (given). D and C differ by 40: 2a - c = 40. If B = a+2 = 2c, then c = (a+2)/2. Substituting: 2a - (a+2)/2 = 40, giving (4a-a-2)/2 = 40, so 3a-2=80, 3a=82 (no integer solution). If B = a-2 = 2c, then c = (a-2)/2. Substituting: 2a - (a-2)/2 = 40, giving (4a-a+2)/2 = 40, so 3a+2=80, 3a=78, a=26. Check: A=26, B=24, D=52, C=12, D-C=40. Option A works.

Multiple choice

The sum of the present ages of P, Q, R and S is 70 years. After 5 years the ratio of their ages will become 2 : 4 : 3 : 6. What is the Q‘s present age?

  1. 12 years

  2. 17 years

  3. 23 years

  4. 15 years

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

Let ages after 5 years be 2x, 4x, 3x, 6x. Sum = 15x. Present ages = 15x − 20 = 70, so x = 6. Q's age after 5 years = 4x = 24, so present age = 24 − 5 = 19 years. No option matches 19, so E is correct.

Multiple choice

The average age of the employee in a company is 23.5 years. And the average of the males in the company is 25.2 years and that of the females is 23.2 years. Find the ratio of the number of males to the number of females in the company.

  1. 17 : 3

  2. 3 : 17

  3. 12 : 5

  4. 5 : 12

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

Let m be the number of males and f be the number of females. The weighted average formula gives: 23.5(m+f) = 25.2m + 23.2f. Solving: 23.5m + 23.5f = 25.2m + 23.2f, so 0.3f = 1.7m, giving m/f = 3/17. This means males:females = 3:17. Option A (17:3) reverses the ratio.

Multiple choice

The present age of A, B and C are in the ratio (8 : 14 : 22) respectively. The present age of B, C and D are in the ratio (21 : 33 : 44) respectively. Find the ratio of the present age of A, B, C, D ?
  1. $12 : 21 : 33 : 44$
  2. $24 : 21 : 33 : 44$
  3. $44 : 42 : 33 : 44$
  4. $12 : 21 : 66 : 44$
  5. $24 : 21 : 33 : 88$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A:B:C = 8:14:22 and B:C:D = 21:33:44. Make B equal: multiply first ratio by 3 (24:42:66) and second by 2 (42:66:88). B=42, C=66 common. Thus A:B:C:D = 24:42:66:88 = 12:21:33:44.

Multiple choice

Five years ago the age of father was 3.5 times the age of son. After 3 years age of father will be only 2.5 times the age of son. Find the present age of Son.

  1. 23 years

  2. 17 years

  3. 25 years

  4. 27 years

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

Let present ages be F (father) and S (son). Five years ago: F−5=3.5(S−5). After 3 years: F+3=2.5(S+3). Solving gives F−5=3.5S−17.5 and F+3=2.5S+7.5, so F=3.5S−12.5 and F=2.5S+4.5. Equating: 3.5S−12.5=2.5S+4.5, so S=17. Option B is correct.

Multiple choice

Each of the questions below consists of a question and two statements numbered I and II given below it.You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements. Anushika says to Shagun, ''I am 3 times as old as you were 3 years ago''.How old is Anushika? I. Shagun‘s age 17 years from now is same as Anushika’s present age. II. Anushika’s age nine years from now is 3 times Shagun’s present age.

  1. Only I

  2. Only II

  3. Both I and II

  4. Neither I nor II

  5. Either I or II
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement I gives us Shagun's age 17 years from now equals Anushika's present age. Combined with Anushika's statement about being 3 times Shagun's age 3 years ago, we can form equations and solve for Anushika's present age. Statement II is not required.

Multiple choice

10 years ago daughter’s age was two-fifth of her mother’s age that time. While 10 years hence her age will be three-fifth of her mother’s age then. Find the difference in the ages of the two.

  1. 24

  2. 20

  3. 18

  4. 15

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

Let daughter's and mother's current ages be d and m. 10 years ago: d-10 = 2/5(m-10) → 5d-50 = 2m-20 → 5d-2m = 30. 10 years hence: d+10 = 3/5(m+10) → 5d+50 = 3m+30 → 3m-5d = 20. Solving: Adding gives m = 50, then d = 26. Age difference = 50-26 = 24. This linear equations problem requires setting up relationships at different time points.

Multiple choice

Present age of A and B are in the ratio of 4: 5 respectively. Five years hence the ratio of their age becomes 5: 6 respectively. What is A's present age? A और B की वर्तमान आयु में अनुपात क्रमशः 4 : 5 है। पांच वर्ष बाद उनकी आयु का अनुपात क्रमशः 5 : 6 हो जाता है। A की वर्तमान आयु क्या है?

  1. 25 years/ वर्ष

  2. 22 years/ वर्ष

  3. 20 years/ वर्ष

  4. 30 years/ वर्ष
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let A's present age = 4x, B's present age = 5x. After 5 years: (4x+5)/(5x+5) = 5/6. Cross-multiply: 6(4x+5) = 5(5x+5), which gives 24x+30 = 25x+25, so x = 5. A's present age = 4x = 4×5 = 20 years. Option C is correct.

Multiple choice

Which information are necessary to answer the questions asked- What is the present age of Sanjeev? I. Sanjeev is 4 years elder than Anuj. The ratio of the age of Anuj and Vipin is 4 : 5. II. Vipin is 1 year older than Sanjeev and the present age of Anuj is 20 years. III. The present age of Sanjeev is 5 years less than the age of Mohan.

  1. Any two are sufficient

  2. II and III together are sufficient

  3. I and II together are sufficient

  4. All three together are sufficient

  5. All three together are not sufficient
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

From statement II: Anuj = 20 years, and Vipin = Sanjeev + 1. From statement I: Sanjeev = Anuj + 4 = 24, Vipin/Anuj = 5/4, so Vipin = 25 which matches Vipin = Sanjeev + 1. Statements I and II together give Sanjeev's age as 24. Statement III about Mohan is irrelevant.

Multiple choice

The ratio between the ages of M and N is 5 : x. Shweta is 9 years younger than A. After 9 years, age of A will be 33 years. The difference of the ages of N and M is as same as the present age of A. What will be the value of x? M और N की वर्तमान आयु के बीच अनुपात 5 : x है | M, A से 9 वर्ष छोटी है | 9 वर्ष बाद A की आयु 33 वर्ष हो जायेगी | N और M की आयु में उतना ही अंतर है जितनी A की वर्तमान आयु है | x के स्थान पर क्या आयेगा ?

  1. 21

  2. 37

  3. 17

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

After 9 years, A's age will be 33, so A's present age = 33 - 9 = 24. M is 9 years younger than A, so M = 24 - 9 = 15. Difference between N and M equals A's present age, so N - 15 = 24, meaning N = 39. The ratio M:N = 5:x means 15:39 = 5:x. Solving: 15x = 195, so x = 13.