Answer: Option A
:
A
The question is based on highest power of a number in a factorial.
Here since 1215 is composite number, prime factorize 1215 i.e $1215=3^5\times 5$.
Required answer will be the highest power of $3^5$ in 315!
(No need to find to find the highest power of 5 in 315! as that will always be more than that of $3^5$)
To find out highest power of $3^5$, we will first find the highest power of 3 and then divide it by 5.
Highest power of 3 in 315! = 155 (105 + 35 + 11 + 3 + 1)
Highest power of $3^5$ in 315! = 31 (highest power of 5 we will get is 77)
Required answer is 31.