CAT (QA) PYQs

For a real number $a$, if $\frac{\log _{15} a+\log _{32} a}{\left(\log _{15} a\right)\left(\log _{32} a\right)}=4$ then a must lie in the range.

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

The value of $\log_{0.008} \sqrt{5} + \log_{\sqrt{3}} 81 - 7$ is equal to