Difference between revisions of "2013 UMO Problems/Problem 3"

(Created page with "== Problem == Find all <math>x</math> with <math>1 \le x \le 999</math> such that the last three digits of <math>x^2</math> are all equal to the same nonzero digit. == Solution...")
 
m (See Also)
 
Line 11: Line 11:
 
== See Also ==
 
== See Also ==
 
{{UMO box|year=2013|num-b=2|num-a=4}}
 
{{UMO box|year=2013|num-b=2|num-a=4}}
 +
 +
[[Category:Intermediate Algebra Problems]]

Latest revision as of 15:26, 14 October 2014

Problem

Find all $x$ with $1 \le x \le 999$ such that the last three digits of $x^2$ are all equal to the same nonzero digit.

Solution

See Also

2013 UMO (ProblemsAnswer KeyResources)
Preceded by
Problem 2
Followed by
Problem 4
1 2 3 4 5 6
All UMO Problems and Solutions