If $A = \{ x:x$ is a natural number $\} ,B = \{ x:x$ is an even natural number $\} $ $C = \{ x:x$ is an odd natural number $\} $ and $D = \{ x:x$ is a prime number $\} ,$ find
$B \cap D$
$A = \{ x:x$ is a natural number $\} = \{ 1,2,3,4,5 \ldots \} $
$B = \{ x:x$ is an even natural number $\} = \{ 2,4,6,8 \ldots \} $
$C = \{ x:x$ is an odd natural number $\} = \{ 1,3,5,7,9 \ldots \} $
$D = \{ x:x$ is a primenumber $\} = \{ 2,3,5,7 \ldots \}$
$B \cap D=\{2\}$
If $aN = \{ ax:x \in N\} ,$ then the set $3N \cap 7N$ is .....$N$
Let $A$ and $B$ be two sets. Then
If $A, B, C$ are three sets, then $A \cap (B \cup C)$ is equal to
If $X$ and $Y$ are two sets such that $X \cup Y$ has $50$ elements, $X$ has $28$ elements and $Y$ has $32$ elements, how many elements does $X$ $\cap$ $Y$ have?
If $X=\{a, b, c, d\}$ and $Y=\{f, b, d, g\},$ find
$Y-X$