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Consider the sets $T_n = \{n, n + 1, n + 2, n + 3, n + 4\}$, where $n = 1, 2, 3,\dots, 96.$ How many of these sets contain $6$ or any integral multiple thereof (i.e., any one of the numbers $6, 12, 18, \dots)?$

  1. $80$
  2. $81$
  3. $82$
  4. $83$
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