Problem:
Several students are seated at a large circular table. They pass around a bag containing pieces of candy. Each person receives the bag, takes one piece of candy and then passes the bag to the next person. If Chris takes the first and the last piece of candy, then the number of students at the table could be
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Since Chris takes the last piece of candy, each person receives the same number of the other pieces of candy. Thus the number of students at the table must be a factor of . Only fulfills this condition.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions