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

If $2^x/(1 + 2^x) = 1/3$, then $8^x/(1-8^x) = ?$