1996 AIME Problems
Contents
Problem 1
Problem 2
For each real number , let
denote the greatest integer that does not exceed x. For how man positive integers
is it true that
and that
is a positive even integer?
Problem 3
Find the smallest positive integer for which the expansion of
, after like terms have been collected, has at least 1996 terms.
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
A rectangular solid is made by gluing together
cubes. An internal diagonal of this solid passes through the interiors of how many of the
cubes?