HMMT November 2009 F6
- General 2
- Answer
There are five guys named Alan, Bob, Casey, Dan, and Eric. Each one either always tells the truth or always lies. You overhear the following discussion between them:
Alan: "All of us are truth-tellers."
Bob: "No, only Alan and I are truth-tellers."
Casey: "You are both liars."
Dan: "If Casey is a truth-teller, then Eric is too."
Eric: "An odd number of us are liars."
Who are the liars?
Dataset text NuminaMath olympiads. Quoted with source.
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Alan, Bob, Dan, Eric
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