CAT (QA) PYQs

How many three-digit numbers are greater than $100$ and increase by $198$ when the three digits are arranged in the reverse order?

For some natural number $n$, assume that $(15000)!$ is divisible by $(n!)!$. The largest possible value of $n$ is

The sum of digits of the number $(625)^{65} \times (128)^{36}$, is