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2002 AMC 12B Question 4

AMC12 · 2002 AMC 12B

Question 4

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. $n\gt84$