### 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 Apex Team)

\begin{aligned}&\text{Let the fourth number be x}\\ &\text{Then, third number = 5x}\\ &\text{Second number =}\frac{5x}{3}\ \text{and}\\ &\text{First number =}\frac{10x}{3}\\ &x+5x+\frac{5x}{3}+\frac{10x}{3}=(24.75\times4)\\ &\Rightarrow11x=99\\ &\Rightarrow x=9\end{aligned} So, the numbers are 9, 45, 15 and 30 ∴ Largest number = 45

A. 20
B. 21
C. 28
D. 32

A. 18
B. 20
C. 24
D. 30

A. 10 years
B. 10.5 years
C. 11 years
D. 12 years