BMSAT Kozhikode (QA) PYQs

If $2^{n+m}/(2^{n-m}) = 16$ and $a = 2^{1/10}$, then, $(a^{2m+n-p})^2/(a^{m-2n+2p})^{-1} = ?$

If $a^p = b^q = c^r = abc$, then $pqr = ?$

The value of q that satisfies $3^p + 5^q = 52$ and $3^{p-1} + 5^{q-1} = 14$ will be