medium · LSAT Logical Reasoning

A sign reads: only members can enter the lounge. David entered the lounge.

Is the conclusion that David is a member valid?

  1. No, because the inference affirms the consequent.
  2. Yes, because entering the lounge requires the very status of membership the sign makes a precondition.
  3. Yes, because it is a valid modus tollens.
  4. No, because the inference denies the antecedent.
  5. Yes, but only on the further assumption that the membership rolls are perfectly enforced.

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