Question

If in a group of 850 persons, 600 can speak Hindi and 340 can speak Tamil. Then, the number of persons can speak both Hindi and Tamil is

(a) 40

(b) 90

(c) 85

(d) 120

Answer 1

Correct option is (b) 90

Explanation :

Let A and B denote the sets of persons who can speak Hindi and Tamil, respectively. Then, n(A) =600; n(B) =340 and n( A ∪ B )=850

n(A ∩B) = n(A) + n(B) − n(A∪ B)

= 600 + 340 - 850 = 90

Thus, 90 persons can speak both Hindi and Tamil.