Question

In an examination out of 100 students,75 passed in English, 60 passed in Mathematics and 45 passed in both English and Mathematics. What is the number of students passed in exactly one of the two subjects? (a) 45 (b) 60 (C) 75 (d) 90
A. 45
B. 60
C. 75
D. 90

Answer 1

Correct Answer - A
Total no. of students = 100
Let E denote the students who have passed in English.
Let M denote the students who have passed in Maths.
`therefore n(E)=75, n(M)=60 and n(EnnM)=45`
`"We know "n(EuuM)=n(E)+n(M)-n(EnnM)`
=75+60-45=90
Required number of students = 90-45=45