List of top Mathematics Questions asked in KEAM

$\int \frac{sec\,x\,dx}{\sqrt{cos\,2\,x}}$ is equal to
The set of all real $ x $ satisfying the in equal $ \frac{3-|x|}{4-|x|}\ge 0 $
If $\left(1+x+x^{2}\right)^{n} =1+a_{1}x+a_{2}x^{2} +\cdots+a_{2n}x^{2n}$, $2a_{1} -3a_{2} +\cdots-\left(2n+1\right)a_{2n}$ is equal to
If $ A= \begin{bmatrix} 3 & 3 & 3 \\ 3 & 3 & 3 \\ 3 & 3 & 3 \\ \end{bmatrix} , $ then $ {{A}^{4}} $ is equal to