Let $A = \{1, 2, 3, 4\}$ and $B = \{2, 3, 4, 5, 6\}$. Then $A \cap B$ is equal to:

If $A$ and $B$ are two sets such that $n(A) = 0.16$,$n(B) = 0.14$,and $n(A \cup B) = 0.25$,then $n(A \cap B)$ is equal to:

If $A = \{1, 2, 4\}, B = \{2, 4, 5\}, C = \{2, 5\},$ then find $(A - B) \times (B - C)$.

If $A=\{3, 5, 7, 9, 11\}$,$B=\{7, 9, 11, 13\}$,$C=\{11, 13, 15\}$,and $D=\{15, 17\}$; find $(A \cup D) \cap (B \cup C)$.

Let $X$ be a non-empty set and let $P(X)$ denote the collection of all subsets of $X$. Define $f: X \times P(X) \rightarrow R$ by $f(x, A) = \begin{cases} 1, & \text{if } x \in A \\ 0, & \text{if } x \notin A \end{cases}$. Then,$f(x, A \cup B)$ equals

If $A$ and $B$ are any two sets,then $A \cap (A \cup B)$ is equal to