Let $n(U) = 700, n(A) = 200, n(B) = 300$ and $n(A \cap B) = 100,$ then $n(A^c \cap B^c) = $

The range of $f(x) = \sec \left( \frac{\pi}{4} \cos^2 x \right)$ for $-\infty < x < \infty$ is

If $f(x) = \frac{x - |x|}{|x|}$,then $f(-1) = $

Which of the following sets is finite?

$A$ survey shows that $73 \%$ of the persons working in an office like coffee,whereas $65 \%$ like tea. If $x$ denotes the percentage of them who like both coffee and tea,then $x$ cannot be

The domain of the function $\sqrt{\log \left( \frac{5x - x^2}{6} \right)}$ is