Difference between revisions of "2012 AIME II Problems/Problem 10"
Williamhu888 (talk | contribs) (Created page with "== Problem 10 == Find the number of positive integers <math>n</math> less than <math>1000</math> for which there exists a positive real number <math>x</math> such that <math>n=x\...") |
|||
Line 3: | Line 3: | ||
Note: <math>\lfloor x \rfloor</math> is the greatest integer less than or equal to <math>x</math>. | Note: <math>\lfloor x \rfloor</math> is the greatest integer less than or equal to <math>x</math>. | ||
+ | |||
+ | |||
+ | == Solution == | ||
+ | |||
+ | == See also == | ||
+ | {{AIME box|year=2012|n=II|num-b=9|num-a=11}} |
Revision as of 17:21, 31 March 2012
Problem 10
Find the number of positive integers less than for which there exists a positive real number such that .
Note: is the greatest integer less than or equal to .
Solution
See also
2012 AIME II (Problems • Answer Key • Resources) | ||
Preceded by Problem 9 |
Followed by Problem 11 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |