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SMO 2011 Junior Round 1 Question 10

SMO · SMO 2011 Junior Round 1

Question 10

In the set $\{1,6,7,9\}$, which of the numbers appear as the last digit of $n^n$ for infinitely many positive integers $n$?
  1. $1,6,7$ only.
  2. $1,6,9$ only.
  3. $1,7,9$ only.
  4. $6,7,9$ only.
  5. $1,6,7,9$.