Section: Math Section 1

13)
In pentagon ABCDE shown above, each side is 1 centimeter. If a particle starts at point A and travels clockwise 183 centimeters along ABCDE, the particle will stop on which point?

1. A
2. B
3. C
4. D
5. E

If the particle travels from A to B to C to D to E and then back to A it has traveled 5 centimeters, since each side of the pentagon measures centimeter, If it goes all the way around the pentagon again it’s traveled another 5 centimeters, for a total of 10 centimeters. In fact, every time the particle makes a complete revolution around the pentagon(from point A back to point A again) it travels an additional 5 centimeters. So if the number of centimeters the particle has traveled is a multiple of 5, the particle must be at point A. The number 183 is 3 more than a multiple of 5. If the particle had gone 180 centimeters it would be at point A; since it has gone 3 more centimeters it must be at point D.