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

Seven years ago, the ratio of the ages of A and B was 4 : 5. Eight years hence, the ratio of the ages of A and B will be 9 : 10. What is the difference between their present ages in years?

  1. 4

  2. 2

  3. 3

  4. 6
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let A and B's ages 7 years ago be 4x and 5x. Their present ages are 4x+7 and 5x+7. Eight years hence, their ages will be 4x+15 and 5x+15. The ratio (4x+15)/(5x+15) = 9/10 leads to 40x + 150 = 45x + 135, so 5x = 15, x = 3. The difference in their ages is 5x - 4x = x = 3.

Multiple choice

John's present age is one fourth of his father's age two years ago. John's father's age will be twice the age of Raman after 10 years. If Raman's 12th birthday was celebrated 2 years ago, then what is John's present age?

  1. 5 years

  2. 7 years

  3. 9 years

  4. 11 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Raman's 12th birthday was 2 years ago, so he is 14 now. Father's age in 10 years = 2 * (14 + 10) = 48. Father's present age = 48 - 10 = 38. Father's age 2 years ago = 36. John's age = 36 / 4 = 9.

Multiple choice

The present age of a woman is six times that of her only daughter, Anu. Her husband’s present age is two years more than seven times Anu’s present age. The average present age of Anu, her parents and her only brother ( who is youngest of all the four members) is 15 years. By how many years is Anu elder to her brother?

  1. 1

  2. 2

  3. 3

  4. Cannot be dtermined
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Anu's age be x. Mother = 6x, Father = 7x + 2. Let brother be B. Average = (x + 6x + 7x + 2 + B) / 4 = 15. 14x + B + 2 = 60 => 14x + B = 58. If x=4, B=2. If x=3, B=16 (impossible). Anu is 4, brother is 2. Difference is 2.

Multiple choice

If Victoria was born 8 years after Michelle, what is the present age of Victoria? 1. Exactly 12 years ago from the current year, Victoria was 100% more old as Michelle was then. 2. Michelle is more than 13 years old.

  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
Explanation

Let V = M + 8. Statement 1: 12 years ago, V-12 = 2 * (M-12). Substituting V=M+8: M+8-12 = 2M-24, so M-4 = 2M-24, M=20. Thus V=28. Statement 2 gives no info on age. Statement 1 is sufficient.

Multiple choice

Q.59.A mother is twice as old as her son. If 20 years ago, the age of the mother was 10 times the age of the son, what is the present age of the mother? A.38 years B.40 years C.43 years D.45 years E. None

  1. A

  2. B

  3. C

  4. D

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

Let the son's present age be x, so the mother's age is 2x. Twenty years ago, 2x - 20 = 10(x - 20), which gives x = 22.5. The mother's present age is therefore 45 years, corresponding to option D.

Multiple choice

Three years hence, the ratio of Karthi and Janvi will be 7:5. The age of Karthi two years hence is equal to two times of age of Janvi, 5 years ago. What is the present age of Karthi?

  1. 24 years

  2. 26 years

  3. 32 years

  4. 38 years

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

Let K and J be present ages. (K+3)/(J+3) = 7/5 => 5K+15 = 7J+21 => 5K-7J = 6. Also, (K+2) = 2(J-5) => K+2 = 2J-10 => K = 2J-12. Substitute: 5(2J-12)-7J = 6 => 10J-60-7J = 6 => 3J = 66 => J = 22. K = 2(22)-12 = 32.