Difference between revisions of "2000 AIME I Problems/Problem 11"
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== Problem == | == Problem == | ||
+ | Let <math>S</math> be the sum of all numbers of the form <math>a/b,</math> where <math>a</math> and <math>b</math> are relatively prime positive divisors of <math>1000.</math> What is the greatest integer that does not exceed <math>S/10</math>? | ||
== Solution == | == Solution == | ||
+ | {{solution}} | ||
== See also == | == See also == | ||
− | + | {{AIME box|year=2000|n=I|num-b=10|num-a=12}} |
Revision as of 18:35, 11 November 2007
Problem
Let be the sum of all numbers of the form where and are relatively prime positive divisors of What is the greatest integer that does not exceed ?
Solution
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See also
2000 AIME I (Problems • Answer Key • Resources) | ||
Preceded by Problem 10 |
Followed by Problem 12 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |