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More ways to get Braingle...

Liars

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

 

Puzzle ID:#43461
Fun:*** (2.11)
Difficulty:*** (2.49)
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?



Answer

If there are exactly N liars, then the last N men are truthtellers, leaving the first (12-N) men to be liars.

Therefore, N=12-N, N=6. The first 6 men are liars, and the last 6 men are truthtellers.

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