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Let $\text{S}$ be the set of integers $x$ such that

  1. $100 < x < 200$
  2. $x$ is odd
  3. $x$ is divisible by $3$ but not by $7$

How many elements does $\text{S}$ contain?

  1. $16$
  2. $12$
  3. $11$
  4. $13$
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