Sets Relations And Functions Question 97
Question: In a group of 500 students, there are 475 students who can speak Hindi and 200 can speak Bengali. What is the number of students who can speak Hindi only?
Options:
A) 275
B) 300
C) 325
D) 350
Show Answer
Answer:
Correct Answer: B
Solution:
- [b]The number of student = 500 Let H be the set showing number of students who can speak Hindi = 475 and B be the set showing number of students who can speak Bengali = 200 So, $ n(H)=475 $ and $ n(B)=200 $ and given that $ n(B\cup H)=500 $ We have $ n(B\cup H)=n(B)+n(H)-n(B\cap H) $
$ \Rightarrow 500=200+475-n(B\cap H) $ So,
$ n(B\cap H)=175 $ Hence, persons who speak Hindi only $ =n(H)-n(B\cap H) $
$ =475-175=300 $
BETA
