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Liars

Logic puzzles require you to think. You will have to be logical in your reasoning.

 

Puzzle ID:#43461
Fun:*** (2.12)
Difficulty:*** (2.51)
Category:Logic
Submitted By:shenqiangAcn****!!
Corrected By:MarcM1098

 

 

 



Twelve men are in a room, some of them always tell lies, while the others always tell the truth.

The first man says: "None of us is a truthteller."
The second man says: "At most one of us is a truthteller."
The third man says: "At most two of us are truthtellers."
...
The twelfth and last man says: "At most eleven of us are truthtellers."

Who are the liars?


Hint

It's OK to use trial and error, however, there might exist better methods.
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