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2002 AMC 10B Question 7

AMC10 · 2002 AMC 10B

Question 7

Let $n$ be a positive integer such that $\dfrac12 + \dfrac13 + \dfrac17 + \dfrac1n$ is an integer. Which of the following statements is **not** true?
  1. $2$ divides $n$
  2. $3$ divides $n$
  3. $6$ divides $n$
  4. $7$ divides $n$
  5. $n \gt 84$