Problem:
Students Arn, Bob, Cyd, Dan, Eve, and Fon are arranged in that order in a circle. They start counting: Arn first, then Bob, and so forth. When the number contains a as a digit (such as or is a multiple of that person leaves the circle and the counting continues. Who is the last one present in the circle?
Answer Choices:
A. Arn
B. Bob
C. Cyd
D. Dan
E. Eve
Solution:
Dan is the last one present beacause Arn is out on , Cyd on , Fon on , Bob on and Eve on
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions