Question

In a group of $1000$ people, there are $750$ people who can speak Hindi and $400$ who can speak English. Then number of persons who can speak Hindi only is

• A. $300$
• B. $400$
• C. $600$
• D. None of these

Answer 1

Answer: (C)

$600$

Given that

$\Rightarrow n(H\cup E)=n\left(E\right)+n\left(H\right)-n(H\cap E)$

$\Rightarrow 1000=750+400-n(H\cap E)$

$\Rightarrow 1000=1150-n(H\cap E)$

$\Rightarrow n(H\cap E)=150$

Therefore, number of people who speak Hindi only $=750-150=600$