BMSAT Kozhikode (QA) PYQs

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

If $\sqrt{2^n} = 1024$, then $3^{(n/4 - 4)}$ is = ?

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