So little information, yet so much information

Logic Level 3

Three best friends--Lina, Lisa, and Lila--were each given a distinct assignment by their teacher. They only know the topics of their assignments--history, geography, and art--but they are not aware of the topic of each of the others' assignments.

Then the following conversation takes place:

Lina: "Without directly giving away my topic, I will only say that the topic that was assigned to me isn't history."

Lisa: "I'm sorry, that isn't helpful at all. Can you give me another hint instead?"

Then unbeknownst to us, either Lina or Lila interjects: "Alright, with these two comments given, I'm able to tell everyone's assigned topic."

If everyone is perfectly logical and speaks the truth, can we as the reader determine who made this assertion?


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