If $n(A) = 3$ and $n(B) = 6$ and $A \subseteq B$,then the number of elements in $A \cap B$ is equal to

The domain of the function $y = \frac{1}{\sqrt{|x| - x}}$ is

Two finite sets have $m$ and $n$ elements. The total number of subsets of the first set is $56$ more than the total number of subsets of the second set. The values of $m$ and $n$ are

Find the cardinal number of the following set: $\{x: x \text{ is a letter of the word } 'ASSASSINATION' \}$

The largest possible set of real numbers which can be the domain of $f(x) = \sqrt {1 - \frac{1}{x}} $ is

The range of $f(x) = \cos 2x - \sin 2x$ contains the set