Question #N1028

A survey of 100 people found that 60 people like apples, 40 people like oranges, and 20 people like both apples and oranges. How many people like neither apples nor oranges?
A. 10
B. 20
C. 30
D. 40

Correct Answer is: B

We can use a Venn Diagram to visualize the problem: [Venn Diagram showing 60 people in the apple circle, 40 people in the orange circle, and 20 people in the overlap. The remaining space outside of the circles represent those who like neither.] Since 20 people like both, 40 people like only apples (60 - 20) and 20 people like only oranges (40 - 20). Therefore, 100 - 40 - 20 - 20 = 20 people like neither apples nor oranges.