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:

• A. 100
• B. 200
• C. 300
• D. 400

Answer 1

Answer: (A)

100

Answer 2

Let A $\equiv$ Set of Tamil speaking students and B $\equiv$ Hindi speaking students $n (A) = 400, n (B) = 300$ and $n (A ? B) = 600$ $n (A \cup B) = n (A) + n (B) - n (A \cup B)$ $\Rightarrow \, n (A \cap B) = n (A) + n (B) - n (A \cup B)$ = 400 + 300 - 600 = 100