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SMO 2007 Senior Round 1 Question 6

SMO · SMO 2007 Senior Round 1

Question 6

When 2007 bars of soap are packed into $N$ boxes, where $N$ is a positive integer, there is a remainder of 5. How many possible values of $N$ are there?
  1. $14$
  2. $16$
  3. $18$
  4. $20$
  5. $13$