Question

Out of the $200$ residents of the colony, $120$ can speak Hindi, $60$ can speak English and $50$ can speak Tamil. $10$ residents can speak both Hindi and English, $15$ residents can speak English and Tamil, while $15$ residents can speak both Hindi and Tamil. $10$ residents can speak all three languages. find the number of residents who can speak Tamil but not English.

• A. $40$
• B. $20$
• C. $35$
• D. $10$

Answer 1

The correct option is C $35$

We know the difference formula,
$n(A-B)=n\left(A\right)-n(A\cap B)$

Hence, $n(T-E)=n\left(T\right)-n(T\cap E)$
$=50-15$
$=35$