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AMC8 2027 - Self-practice Set 6 Question 11

AMC8 · AMC8 2027 - Self-practice Set 6

Question 11

Kaleana shows her test score to Quay, Marty, and Shana, while each keeps their own score private. Quay thinks, "At least two of us have the same score." Marty thinks, "I do not have the lowest score." Shana thinks, "I do not have the highest score." Each thought is a conclusion known with certainty based only on that student's own score and Kaleana's score. In what order do Marty (M), Quay (Q), and Shana (S) rank from lowest to highest?
  1. S, Q, M
  2. Q, M, S
  3. Q, S, M
  4. M, S, Q
  5. S, M, Q