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AMO 2027 Grades 4-5 SET 18 - Self-study Question 9

AMO · AMO 2027 Grades 4-5 SET 18 - Self-study

Question 9

Naomi, Olivia, Pam and Rina were from the same class. One of them was the last person who left the class and did not turn off the fan. When the teacher checked with them the next day, their replies were as follows:

• Naomi: Pam was still in the classroom when I left.

• Olivia: Rina wasn’t there when I left the classroom.

• Pam: Olivia had already left when I left the room.

• Rina: I didn’t really pay much attention.

Who was the last person who left the classroom if all of them told the truth?

Departure convention: each person was in the classroom and left it once, without returning.