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Problem 22 (1986 AJHSME)

AJHSMEEasy

From module Arithmetic and Number Theory Basics

Problem

Alan, Beth, Carlos, and Diana were discussing their possible grades in mathematics class. Alan said, "If I get an A, then Beth will get an A." Beth said, "If I get an A, then Carlos will get an A." Carlos said, "If I get an A, then Diana will get an A." All of these statements were true, but only two of the students received an A. Which two received A's?

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