medium · LSAT Logical Reasoning

No licensed contractor performs work without first obtaining a permit.

If the statement above is true, which one of the following must also be true?

  1. Anyone who carried out work without a permit cannot be a licensed contractor.
  2. Everyone who is not a licensed contractor performs their work without a permit.
  3. No one holding a permit can also be an unlicensed contractor doing unpermitted work.
  4. Anyone who holds a valid permit is thereby a fully licensed working contractor.
  5. Every licensed contractor who obtains a permit will go on to perform some work.

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