Difference between revisions of "1996 AIME Problems"
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== Problem 2 == | == Problem 2 == | ||
For each real number <math>x</math>, let <math>\lfloor x \rfloor</math> denote the greatest integer that does not exceed x. For how man positive integers <math>n</math> is it true that <math>n<1000</math> and that <math>\lfloor \log_{2} n \rfloor</math> is a positive even integer? | For each real number <math>x</math>, let <math>\lfloor x \rfloor</math> denote the greatest integer that does not exceed x. For how man positive integers <math>n</math> is it true that <math>n<1000</math> and that <math>\lfloor \log_{2} n \rfloor</math> is a positive even integer? | ||
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[[1996 AIME Problems/Problem 2|Solution]] | [[1996 AIME Problems/Problem 2|Solution]] | ||
Revision as of 13:57, 24 September 2007
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
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?
