AMC8 1986 Problem 22

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 receıved A’s?

Answer Choices
A. Alan, Beth
B. Beth,Carlos
C. Carlos,Diana
D. Alan,Diana
E. Beth, Diana