Question

In a class of $45$ students $22$ can speak Hindi only $12$ can speak English only. The number of students who can speak both Hindi and English is :

• A. $11$
• B. $23$
• C. $33$
• D. $34$

Answer 1

The correct option is A $11$

Here $n\left(H\right)=22+x$
$n\left(E\right)=12+x$
$n$$(H\cap E)$ $=x$
$n$$(H\cap E)$ $=45$
$\Rightarrow$ $45+x=22+x+12+x$ $\Rightarrow$ $x=11$