1996 AIME Problems/Problem 2
Problem
For each real number , let denote the greatest integer that does not exceed x. For how many positive integers is it true that and that is a positive even integer?
Solution
For integers , we want , or . Thus, must satisfy these inequalities (since ):
There are for the first inequality, for the second, for the third, and for the fourth, so the answer is .
See also
1996 AIME (Problems • Answer Key • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
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