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SMO 2007 Junior Round 1 Question 2

SMO · SMO 2007 Junior Round 1

Question 2

Which of the following numbers is odd for any integer values of $k$?
  1. $2007+k^3$
  2. $2007+7k$
  3. $2007+2k^2$
  4. $2007+2007k$
  5. $2007k$