Test: Problems on Ages - 2 - GMAT MCQ

Prime numbers between 40 and 50 = 41, 43 and 47
So the age of the second oldest among the three = 43 years
Hence, Option B is correct.

To find the difference between Rohit and Sachin's ages:

- Let's say Sachin's age is x years.
- Rohit's age is 25% more, which is 1.25x.
- Given, their total age is 45 years: x + 1.25x = 45.
- 2.25x = 45
- x = 20
there difference 1.25x - x = 0.25x = 0.25 x 20 = 5

3X + 30 = 120

Hence, Option C is correct.

Let the age of Jeenat be xxx years.

Since Mohit's age is 250% more than Jeenat's, Mohit's age will be:

x+2.5x=3.5x

The sum of their ages is 54 years, so:

x+3.5x=54

Simplifying:

4.5x=54

Thus, Jeenat's age is 12 years.

The correct answer is:

3. 12 years.

Since their ages are in Arithmetic progression, the average age of the youngest and oldest must be 20 years.
15 + The age of the oldest one = 20 × 2
The age of the oldest one = 40 – 15 = 25 years
Hence, Option D is correct.

Hence, Option D is correct.

Let the current age of A = 10x
The current age of B = 9x

120x + 192 = 117x + 208
3x = 16


Hence, Option D is correct.

80% of Vishal = 50% of Shivam
Vishal : Shivam = 5 : 8
Sum of their ages = 39 × 2 = 78 years

Hence, Option A is correct.

Hence, Option D is correct.

Let the current age of A = 8x
The current age of B = 5x

32x + 56 = 25x + 70
7x = 14
x = 2
Reqd. difference = (8x – 5x) = 3x = 3 × 2 = 6 years
Hence, Option C is correct.

Ages → Ajay : Rahul = 100 : (100 + 60) = 5 : 8

Hence, Option D is correct.

Let the age of A 5 years ago = 7x
The age of B 5 years ago = 6x

147x + 525 = 132x + 550
15x = 25

So the answer = (7x + 5 + 6x + 5) = 13x + 10

Hence, Option B is correct.

Sum of their ages = 48 × 3 = 144 years

Hence, Option D is correct.

Hence, Option D is correct.

Sum of the current ages = 44 × 2 = 88 years


So the answer = 40 – 16 : 48 – 16 = 24 : 32 = 3 : 4
Hence, Option C is correct.