A) 275
B) 300
C) 325
D) 350
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 \[=n(H)-n(B\cap H)\] \[=475-175=300\]You need to login to perform this action.
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