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 the ratio of the ages of two boys Ratan and Rakhal in 2022 is 2 : 3, then which of the following could have been the ratio of their ages in 2015?

  1. 1 : 2

  2. 3 : 4

  3. 7 : 8

  4. 5 : 6
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let ages in 2022 be 2x and 3x. In 2015 (7 years earlier), ages were 2x-7 and 3x-7. The ratio (2x-7)/(3x-7) must be one of the options. Testing 1:2: (2x-7)/(3x-7) = 1/2 implies 4x-14 = 3x-7, so x=7. Ages in 2022 were 14 and 21. In 2015, they were 7 and 14, which is 1:2.

Multiple choice

The average age of employees in a company increases by 2 years when some experienced professionals join the team. If the average age of the new employees is 5 years more than the average age of the original employees, what is the ratio of the number of original employees to the number of new employees?

  1. 3 : 2

  2. 4 : 3

  3. 4 : 1

  4. 5 : 2

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

Let n1 be original employees, A1 average age. Total age = n1*A1. Let n2 be new employees, A2 = A1 + 5. New average = (n1*A1 + n2*(A1+5)) / (n1+n2) = A1 + 2. n1*A1 + n2*A1 + 5*n2 = (A1+2)(n1+n2) = n1*A1 + 2*n1 + n2*A1 + 2*n2. 5*n2 = 2*n1 + 2*n2. 3*n2 = 2*n1. n1/n2 = 3/2.

Multiple choice

The sum of the ages of A, B, and C is 120 years. The difference between the ages of A & B is three times the difference between the ages of B & C. If the ratio of the age of B to that of C is 8 : 5, then what is the minimum possible age of A (in years)? (Given that age of A > age of B and all ages are integers)

  1. 68

  2. 45

  3. 54

  4. 86

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

A+B+C=120. B/C = 8/5, so B=8k, C=5k. A-B = 3(B-C) => A-8k = 3(8k-5k) = 9k => A=17k. A+B+C = 17k+8k+5k = 30k = 120, so k=4. A=68, B=32, C=20. Condition A>B is satisfied. Minimum age of A is 68.

Multiple choice

A woman's current age is given by (4r + 3s) years, where her son's age is 'r' years and her daughter's age is 's' years. The son is four years older than the daughter. If the woman's husband is six years older than her and is 43 years old now, calculate the average age of all family members excluding the daughter.

  1. 23

  2. 26

  3. 27

  4. 29

  5. 33
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Son's age r, daughter's age s = r-4. Woman's age = 4r + 3(r-4) = 7r - 12. Husband's age = 43, so woman's age = 43 - 6 = 37. 7r - 12 = 37 => 7r = 49 => r = 7. Son is 7, daughter is 3. Family members excluding daughter: Woman (37), Husband (43), Son (7). Average = (37+43+7)/3 = 87/3 = 29.

Multiple choice

Some years ago, Neha was as old as Karan is now. At that time, the ratio of Neha's age to Karan's age was 8 : 7. In the future, when Karan reaches Neha's current age, what will be the ratio of their ages at that time?

  1. 4 : 3

  2. 5 : 4

  3. 8 : 7

  4. 10 : 9

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

Let Neha's age be N and Karan's be K. The age difference D = N - K is constant. When Neha was K, the ratio was 8:7, so (K - D)/K = 8/7. Since D = N - K, we have (2K - N)/K = 8/7, leading to 14K - 7N = 8K, or 6K = 7N. Solving for the future ratio when Karan is N yields 10:9.

Multiple choice

What will the ratio of A's age to B's age 15 years from now? (1) A's age as many years past B's present age was twice B's age as many years past A's present age. (2) 8 years hence, A would be twice as old as B will be 4 years from now.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

  2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

  3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

  4. EACH statement ALONE is sufficient.

  5. Statements (1) and (2) TOGETHER are NOT sufficient.
Reveal answer Fill a bubble to check yourself
A Correct answer
Multiple choice

Sonali, Rohit, and Neha, who all share the same birthday, recently celebrated their joint birthday party. This year, their ages are 72, 48, and 60 years, respectively. What was the ratio of their ages exactly 15 years ago on their common birthday?

  1. 17 : 13 : 15

  2. 16 : 11 : 14

  3. 19 : 11 : 15

  4. 23 : 21 : 25

  5. 29 : 21 : 25
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Current ages: 72, 48, 60. Ages 15 years ago: 57, 33, 45. Ratio = 57:33:45. Dividing by 3 gives 19:11:15.

Multiple choice

A told B, When I was as old as you are now, then your age was four years less than half of my present age. If the sum of the present ages of A and B is 61 years, what is B's present age in years?

  1. 35

  2. 25

  3. 31

  4. 24
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let A's age be x and B's age be y. When A was y, B was y - (x - y) = 2y - x. Given 2y - x = 0.5x - 4 and x + y = 61. From the first, 2y = 1.5x - 4, so y = 0.75x - 2. Substitute into the second: x + 0.75x - 2 = 61, 1.75x = 63, x = 36. Then y = 61 - 36 = 25.