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SMO 2012 Junior Round 1 Question 2

SMO · SMO 2012 Junior Round 1

Question 2

It is known that $n^{2012}+n^{2010}$ is divisible by $10$ for some positive integer $n$. Which number is not a possible value of $n$?
  1. 2
  2. 13
  3. 35
  4. 47
  5. 59