1996 AIME Problems/Problem 2
Problem
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?
Solution
n must satisfy these inequalities:
There are 4 for the first inequality, 16 for the second, 64 for the third, and 256 for the fourth. 
See also
| 1996 AIME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 1 |
Followed by Problem 3 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
