CAT (QA) PYQs

If y is a negative number such that $2^{y^2log_3 5} = 5^{\log_2 3}$, then y equals

For all possible integers $n$ satisfying $2.25 \leq 2+2^{n+2} \leq 202$, the number of integer values of $3+3^{n+1}$ is

The number of distinct integers $n$ for which $\log_{1/4}(n^2 - 7n + 11) > 0$, is