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 $x^{\frac{1}{12}}=49^{\frac{1}{24}}$, the value of $x$ is:

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