If $A$ and $B$ are two sets such that $A$ has $40$ elements,$A \cup B$ has $60$ elements and $A \cap B$ has $10$ elements,how many elements does $B$ have?

If $A$ and $B$ are any two non-empty sets and $A$ is a proper subset of $B$. If $n(A) = 4$,then the minimum possible value of $n(A \Delta B)$ is (where $\Delta$ denotes the symmetric difference of set $A$ and set $B$).

Find the power set of $A = \{\{a, b\}, c\}$.

If $A = \{a, d\}, B = \{b, c, e\}$ and $C = \{b, c, f\},$ then $A \times (B - C) =$

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

If two sets $A$ and $B$ have $99$ elements in common,then the number of elements common to each of the sets $A \times B$ and $B \times A$ is: