Question #N250
A survey of 100 people found that 60 people like apples, 40 people like oranges, and 20 people like both. 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 solve this problem. Let A represent the set of people who like apples, and O represent the set of people who like oranges. We know that |A ∩ O| = 20. Since 60 people like apples, and 20 of them also like oranges, 60 - 20 = 40 people like only apples. Since 40 people like oranges, and 20 of them also like apples, 40 - 20 = 20 people like only oranges. The total number of people who like apples or oranges is 40 + 20 + 20 = 80. Therefore, 100 - 80 = 20 people like neither apples nor oranges.