Question

$A$ and $B$ are two sets such that
$A$ = Set of all prime numbers and
$B$ = Set of all even natural numbers,
then find $A\cap B.$

• A. $2$
• B. $\varphi$
• C. (a) and (b) above.
• D. None of the above

Answer 1

The correct option is A $2$

The intersection of two sets $A$ and $B$, denoted by $A\cap B$, consists of all elements that are both in A and B.

Given : $A=\{2,3,5,7,1,..........\}$ and
$B=\{2,4,6,8,10,........\}$
Here we can see that only element $"2"$ is common between sets $A$ and $B.$
Hence, $A\cap B=2.$