Sets Relations And Functions Question 19
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:
A) 100
B) 200
C) 300
D) 400
Show Answer
Answer:
Correct Answer: A
Solution:
- [a]Let $ A\equiv $ Set off Tamil speaking students and $ B\equiv $ Hindi speaking students $ n(A)=400,n(B)=300 $ and $ n(A\cup B)=600 $ $ n(A\cup B)=n(A)+n(B)-n(A\cap B) $
$ \Rightarrow n(A\cap B)=n(A)+n(B)-n(A\cup B) $ $ =400+300-600=100 $
BETA
