Question #N218
A survey of 100 students was conducted to determine their favorite subjects. The results showed that 40 students liked math, 50 students liked science, and 20 students liked both math and science. How many students did *not* like either math or science?
A. 10
B. 20
C. 30
D. 40
Correct Answer is: A
We can use a Venn diagram to solve this problem. Let M represent the set of students who like math and S represent the set of students who like science. The number of students who like both math and science is represented by the intersection of M and S, which is 20. Since 40 students like math, and 20 of those also like science, there are 40 – 20 = 20 students who like only math. Similarly, there are 50 – 20 = 30 students who like only science. Therefore, the number of students who like neither math nor science is 100 – 20 – 30 – 20 = 10.