Question #N88
A survey of 200 students found that 120 students enjoy watching movies, 80 students enjoy reading books, and 60 students enjoy both. How many of the 200 students enjoy neither watching movies nor reading books?
A. 20
B. 40
C. 60
D. 100
Correct Answer is: B
We can use a Venn diagram to solve this problem. Let M represent the set of students who enjoy watching movies and B represent the set of students who enjoy reading books. We are given that |M|=120, |B|=80, and |M∩B|=60. The number of students who enjoy only watching movies is 120 - 60 = 60. The number of students who enjoy only reading books is 80 - 60 = 20. The total number of students who enjoy at least one of these activities is 60 + 20 + 60 = 140. Therefore, 200 - 140 = 60 students enjoy neither.