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

Age of Umesh will be 4 times the age of Reena in 6 years from today. If ages of Umeshand Mahesh are 7 times and 6 times the age of Reena respectively, what is present ageof Umesh?

  1. 64 years

  2. 30 years

  3. 48 years

  4. 42 years

  5. 40 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Reena's present age be r. Umesh is 7r years old, and 7r + 6 = 4(r + 6), because his age will then be four times Reena's age. Solving gives r = 6 and Umesh's present age = 7 × 6 = 42 years.

Multiple choice

Ratio of present age of A, B, C and D is 6 : 8 : 11 : 15 . Sum of their ages 4 years before was 64years then what is the difference of present age of B and D.

  1. 8 years

  2. 14 years

  3. 4 years

  4. 22 years

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

Let the ages be 6x, 8x, 11x, and 15x. Four years ago, the sum was (6x-4) + (8x-4) + (11x-4) + (15x-4) = 40x - 16 = 64, which gives 40x = 80, so x = 2. The present ages are 12, 16, 22, and 30; the difference between B (16) and D (30) is 14.

Multiple choice

Three friends-Farina, Maya, and Sam-have their ages related by unique ratios: Farina to Sam is 91, and Maya to Sam is 8 : 1. Fast forward 12 years, and Farina's age compared to Maya's becomes 12. 11. Given this, what will be the ratio of Sam's age 5 years from now to Farina's current age?

  1. 1 : 2

  2. 1 : 3

  3. 1 : 4

  4. 2 : 3
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The prompt contains garbled ratios (91 instead of 9:1, 12. 11 instead of 12:11). Assuming standard interpretations (F:S=9:1, M:S=8:1), current ages are F=9x, M=8x, S=x. In 12 years, (9x+12)/(8x+12) = 12/11. Solving gives 99x + 132 = 96x + 144, so 3x = 12, x = 4. Current ages: F=36, M=32, S=4. Ratio of (S+5):F = 9:36 = 1:4.

Multiple choice

What is Rick’s age now? 1) Ricky is now twice as old as he was exactly 8 years ago. 2) Ricky’s sister Teresa is now 3 times as old as Ricky was exactly 8 years ago.

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

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

  3. Both statements (1) and (2) TOGETHER are sufficient to answer the question, but neither statement ALONE is sufficient.

  4. Each statement ALONE is sufficient.

  5. Statements (1) and (2) TOGETHER are not sufficient to answer the question, and additional data is required.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement 1 gives the equation R = 2(R - 8), which uniquely solves to R = 16, making it sufficient. Statement 2 introduces a second variable for Teresa's age, T = 3(R - 8), which cannot be solved for R without additional information, making it insufficient.

Multiple choice

Directions: In the following question you have to find out that which of the following statement/statements are redundant for determining the answer of given question or can be dispensed with. What will be the sum of the ages of M and D after 12 years? I. M's present age is 5/3 of D's present age. II. After 5 years, the ratio of M's age to D's age will be 8 : 5. III. The difference between the present ages of M and D is equal to D's age 10 years ago.

  1. Only I or II

  2. Only II or III

  3. Only I or III

  4. Any one of the three

  5. Any two of the three
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

All three statements provide information about the relationship between M and D's ages. Any one of the statements is sufficient to define the relationship and solve for the ages, making the others redundant.

Multiple choice

The ratio of the ages of two friends, Raj and Vijay, is 2 : 3, and the ratio of the ages of Vijay and Anil is 3 : 4. Additionally, the ratio of the ages of Anil and Sita is 5 : 6. If the average age of all four friends is 34.5 years, what is Vijay's age?

  1. 26 years

  2. 28 years

  3. 30 years

  4. 32 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

R:V = 2:3, V:A = 3:4, A:S = 5:6. R:V:A = 2:3:4. To include S, scale R:V:A by 5: 10:15:20. Then A:S = 5:6 = 20:24. R:V:A:S = 10:15:20:24. Total parts = 69. Average = 34.5, so total age = 34.5 * 4 = 138. 69x = 138, x = 2. Vijay's age = 15 * 2 = 30.