Problem:
David, Hikmet, Jack, Marta, Rand, and Todd were in a -person race with other people. Rand finished places ahead of Hikmet. Marta finished place behind Jack. David finished places behind Hikmet. Jack finished places behind Todd. Todd finished place behind Rand. Marta finished in th place. Who finished in th place?
Answer Choices:
A. David
B. Hikmet
C. Jack
D. Rand
E. Todd
Solution:
Marta finished th, so Jack finished th. Therefore Todd finished rd and Rand finished nd. Because Hikmet was places behind Rand, it was who finished th. (David finished th.)
The problems on this page are the property of the MAA's American Mathematics Competitions