This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

Tags were heavily modified to better represent problems.

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Found problems: 1

1986 AMC 8, 22

Tags: 1986
Alan, Beth, Carlos, and Diana were discussing their possible grades in mathematics class this grading period. 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? \[ \textbf{(A)} \text{Alan, Beth} \qquad \textbf{(B)} \text{Beth, Carlos} \qquad \textbf{(C)} \text{Carlos, Diana} \qquad \textbf{(D)} \text{Alan, Diana} \qquad \textbf{(E)} \text{Beth, Diana} \]