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A house has a number which need to be identified. The following three statements are given that can help in identifying the house number?

  1. If the house number is a multiple of $3$, then it is a number from $50$ to $59$.
  2. If the house number is NOT a multiple of $4$, then it is a number from $60$ to $69$.
  3. If the house number is NOT a multiple of $6$, then it is a number from $70$ to $79$.

What is the house number?

  1. $54$
  2. $65$
  3. $66$
  4. $76$
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