1.

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 ?A. 275B. 300C. 325D. 350

Answer» Correct Answer - B
Total number of students = 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 `(BuuH)=500`
We have
`n(BuuH)=n(B)+n(H)-n(BnnH)`
`implies 500=200+475-n(BnnH)`
so, `n(BnnH)=175`
Hence, persons who speak Hindi only =n(H)-`n(BnnH)=475-175=300`


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