Problem:
Abby, Bret, Carl, and Dana are seated in a row on four seats numbered to . Joe looks at them and says:
"Bret is next to Carl."
"Abby is between Bret and Carl."
However each one of Joe's statements is false. Bret is actually
sitting in seat . Who is sitting in seat
Answer Choices:
A. Abby
B. Bret
C. Car1
D. Dana
E. There is not enough information to be sure.
Solution:
Since Bret is in seat and statement is false, Carl must be in seat . Then, since statement is false, Abby must be in seat leaving, Dana in seat .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions