Question

$M$ and $N$ are two sets such that $M=\{2,4,6,8,10,12\}$ and $N=\{1,3,5,7,9,11\}$ then what will be the $M\cap N$ ?

• A. $\{1,2,3,4,5,6,7,8,9,10,11,12\}$
• B. $\{2,4,6,8,10,12\}$
• C. $\varphi$
• D. None of the above

Answer 1

The correct option is C $\varphi$

$M$ is the set of even natural numbers upto $12$ and $N$ is the set of odd natural numbers upto $11$. We know that $M\cap N$ means common portion of the sets of $M$ and $N.$
Here we can see that there is no common portion between $M$ and $N.$
Hence answer is null set $\left(\varnothing \right)$.