Problem:
Kaleana shows her test score to Quay, Marty and Shana, but the others keep theirs hidden. Quay thinks, "At least two of us have the same score." Marty thinks, "I didn't get the lowest score." Shana thinks, "I didn't get the highest score." List the scores from lowest to highest for Marty , Quay and Shana .
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Quay indicates that she has the same score as Kaleana. Marty's statement indicates that her score is higher than Kaleana's, and Shana's statement indicates that her score is lower than Kaleana's. The sequence is the correct one.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions