2003 AMC 12B Problems/Problem 18
Revision as of 09:26, 4 July 2013 by Nathan wailes (talk | contribs)
Problem
Let be a 5-digit number, and let and be the quotient and remainder, respectively, when is divided by . For how many values of is divisible by ?
Solution
Suppose
Since and ,
, so there are values of that are divisible by . The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.