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

Tabu's age is 1/3rd of her father's age. After ten years, Tabu's father's age will be 10 years more than twice of Rohit's age after 10 years. If Rohit's eighth birthday was celebrated 3 years ago, then what is Tabu's present age?

  1. 24 years

  2. 30 years

  3. 14 years

  4. 18 years

  5. 10 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Rohit's 8th birthday was 3 years ago, so he is 11 now. Tabu's father's age in 10 years = 2 * (11 + 10) + 10 = 52. Father's current age = 52 - 10 = 42. Tabu's age = 1/3 * 42 = 14.

Multiple choice

Directions: The question given below is followed by three statements numbered I, II and III. Read all the statements carefully and decide which of them is/are sufficient to answer the given question. Choose the correct alternative accordingly. Is the ratio of the present ages of P and Q greater than 5 : 6? I. The ratio of the ages of P and Q, 5 years ago, was 5 : 6. II. P is, at present, 30 years old. III. The ratio of the ages of P and Q, 5 years from now, will be 6 : 7.

  1. Only I

  2. Only II

  3. Only III

  4. Any two of the given three

  5. Even I, II and III together are not sufficient.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let P and Q be p and q. I: (p-5)/(q-5) = 5/6 => 6p-30 = 5q-25 => 6p-5q = 5. We want to know if p/q > 5/6. From 6p-5q=5, p/q = (5+5q)/6q = 5/6q + 5/6. Since 5/6q > 0, p/q > 5/6. Statement I is sufficient.

Multiple choice

Directions: In the following question, you have to find out which statement(s) is/are redundant for determining the answer of the given question or can be dispensed with. What is Raveena's present age? Statements: I. Raveena's present age is double the age of her daughter. II. The ratio of the present age of Raveena to that of her father is 4 : 7. III. After 3 years, the ratio of Raveena's age to her daughter's age will be 24 : 17.

  1. Only II

  2. Only III

  3. Either I or II

  4. Either II or III

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

Statement I gives a ratio between Raveena and her daughter. Statement III gives a ratio between them after 3 years. These two statements are sufficient to solve for their current ages. Statement II provides a ratio with the father, which is not needed to find Raveena's age.

Multiple choice

The present ages of Ram and Karan are in the ratio 2 : 3. The ratio of ages of Ram and Arjun is 8 : 11. The sum of present ages of all three is 155 years. What will be the ratio of ages of Karan and Arjun after 20 years?

  1. 16 : 15

  2. 21 : 20

  3. 6 : 5

  4. 4 : 3

  5. 15 : 16
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

R:K = 2:3 = 8:12. R:A = 8:11. R:K:A = 8:12:11. Sum of parts = 8+12+11 = 31. 31x = 155, x = 5. Present ages: R=40, K=60, A=55. After 20 years: K=80, A=75. Ratio K:A = 80:75 = 16:15.