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 on of these statements necessarily follows logically?
$/textbf{ (A) } / / text{ If Lewis did not receive an A, then he got all of the multiple choice questions wrong.} / / / qquad/textbf{ (B) } / / text{ If Lewis did not receive an A, then he got at least one of the multiple choice questions wrong.} / / / qquad/textbf{ (C) } / / text{ If Lewis got at least one of the multiple choice questions wrong, then he did not receive an A.} / / / qquad/textbf{ (D) } / / text{ If Lewis received an A, then he got all of the multiple choice questions right.} / / / qquad/textbf{ (E) } / / text{ If Lewis received an A, then he got at least one of the multiple choice questions right.}$
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