medium · LSAT Logical Reasoning

You cannot enter the VIP lounge unless you have a golden ticket. Sarah entered the VIP lounge, so she must have had a golden ticket.

Which one of the following arguments follows a pattern of reasoning most similar to that in the argument above?

  1. A student cannot graduate without passing the final exam. Leo graduated, so he passed the final.
  2. Whenever it rains, the game is canceled. It is raining, so the game is canceled.
  3. If you are late, you miss the bus. You were not late, so you did not miss the bus.
  4. Only employees are allowed in the back. Mike is an employee, so he must be in the back.
  5. No one may board without a ticket, and everyone holding a ticket always boards, so every ticket-holder is necessarily aboard.

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