Question

There are 600 student in a school. If 400 of them can speak Telugu, 300 can speak Hindi, then the number of students who can speak both Telugu and Hindi is:

Options

• 100

• 200

• 300

• 400

Answer 1

100

Explanation:

Let A ≡ Set of Telugu speaking students and B ≡ Hindi speaking students

n (A) = 400, n(B) = 300 and n(A ∪ B) = 600

n(A ∪ B) = n(A) + n(B) – n(A ∩ B)

⇒ n(A ∩ B) = n(A) + n(B) – n(A ∪ B) 

= 400 + 300 – 600 = 100