Question

In a group of $1000$ people, each can speak either Hindi or English. 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. $450$

Answer 1

Answer: (C)

$600$

English speakers $=n\left(E\right)=400$

Hindi speakers $=n\left(H\right)=750$

Now, people speaking both i.e $n(H\cap E)=400+750-1000$

$=1150-1000$

$=150$

People who speaks only Hindi $n\left(H\right)-150$

$=750-150$

$=600$