medium · LSAT Logical Reasoning

Consider the statement: "No candidate is eligible for the position unless that candidate has at least five years of experience."

Which one of the following is logically equivalent to the statement above?

  1. If a candidate does not have at least five years of experience, then that candidate is not eligible for the position.
  2. Some candidates who do have at least five years of relevant experience are nonetheless not eligible for the position.
  3. If a candidate is not eligible for the position, then that candidate must necessarily lack five years of experience.
  4. If a candidate has at least five years of experience, then that candidate is thereby eligible for the open position.
  5. A candidate is eligible for the position if and only if that same candidate has at least five years of experience.

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