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:
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:
Updated On: Jun 23, 2023
- 100
- 200
- 300
- 400
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The Correct Option is A
Solution and Explanation
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
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