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2018 AMC 12A Question 12

AMC12 · 2018 AMC 12A

Question 12

Let $S$ be a set of $6$ integers taken from $\{1, 2, \ldots, 12\}$ with the property that if $a$ and $b$ are elements of $S$ with $a \lt b,$ then $b$ is not a multiple of $a.$ What is the least possible value of an element of $S?$
  1. $2$
  2. $3$
  3. $4$
  4. $5$
  5. $7$