Of the four numbers, the first is twice the second, the second is one-third of the third and the third is 5 times the fourth. The average of the numbers is 24.75. The largest of these numbers is-

A. 9

B. 25

C. 30

D. None of these

Answer: Option D

Solution(By Examveda Team)

Let the fourth number be x
Then, third number = 5x
Second number = $$\frac{5x}{3}$$ and
First number = $$\frac{10x}{3}$$
x + 5x + $$\frac{5x}{3}$$  + $$\frac{10x}{3}$$   = (24.75 × 4)
⇒ 11x = 99
⇒ x = 9
So, the numbers are 9, 45, 15 and 30
∴ Largest number = 45