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AMC8 2027 - Self-practice Set 7 Question 14

AMC8 · AMC8 2027 - Self-practice Set 7

Question 14

Alan, Beth, Carlos, and Diana discuss their mathematics test grades.
Alan says, "If I received an A, then Beth also received an A."
Beth says, "If I received an A, then Carlos also received an A."
Carlos says, "If I received an A, then Diana also received an A."
All statements are true, but exactly two students received A grades. Which two?
  1. Alan, Beth
  2. Beth, Carlos
  3. Carlos, Diana
  4. Alan, Diana
  5. Beth, Diana