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IMAS 2018 Junior Round 1 Question 11

IMAS · IMAS 2018 Junior Round 1

Question 11

The greatest common divisor of $n$ and 24 is 2, while the greatest common divisor of $n+1$ and 24 is 3. Which of the following numbers cannot be $n$?
  1. 2
  2. 14
  3. 20
  4. 38
  5. 50