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2017 AMC 10A Question 6

AMC10 · 2017 AMC 10A

Question 6

Ms. Carroll promised that anyone who got all the multiple choice questions right on the upcoming exam would receive an A on the exam. Which one of these statements necessarily follows logically?
  1. If Lewis did not receive an A, then he got all of the multiple
    choice questions wrong.
  2. If Lewis did not receive an A, then he got at
    least one of the multiple choice questions wrong.
  3. If Lewis got at least one of the multiple choice questions
    wrong, then he did not receive an A.
  4. If Lewis received an A, then he got all of the multiple choice
    questions right.
  5. If Lewis received an A, then he got at least one of the
    multiple choice questions right.