Problem:
Which of these numbers is less than its reciprocal?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The number has no reciprocal, and and are their own reciprocals. This leaves only and . The reciprocal of is , but is not less than . The reciprocal of is , and is less than .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions