CAT (QA) PYQs

How many factors of $2^4 \times 3^5 \times 10^4$ are perfect squares which are greater than $1?$

Let $n$ be the least positive integer such that 168 is a factor of $1134^n$. If m is the least positive integer such that $1134^{n}$. is a factor of $168^m$, then $m + n$ equals

If the product of three consecutive positive integers is $15600$ then the sum of the squares of these integers is