BMSAT Kozhikode (QA) PYQs

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

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 $a = \sqrt{11} - \sqrt{10}$, $b = \sqrt{12} - \sqrt{11}$, and $c = \sqrt{13} - \sqrt{12}$, then which of the following is true?