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# Hard Riddle

Mon 8 Mar, 2010 09:05 pm
So my professor gave us this riddle as extra credit, but i cant seem to figure it out. any suggestions? here it is:
On a certain island, the inhabitants are divided into 2 groups, those who always lie, and those who always tell the ruth. One day, a visitor stops 3 inhabitants to ask for directions.
"All 3 of us are liars," warns the first one.
"Not so! Only one of us is a liar," says the second.
"Not so," says the third, "the other two are the lying."
Which if any of the 3 islanders can the visitor trust for the correct directions?

Let me know if you all come up with something!
Thanks!!
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Ionus

1
Mon 8 Mar, 2010 09:45 pm
Number 3 is telling the truth.
If No 1 is telling the truth then it cant be that all three are liars, because that means No 1 is not lying. Therefor No 1 is a liar.

If No 2 is telling the truth, the liar has already been established as No 1. Therefore No 3 is telling the truth. But No 2 cant be telling the truth, because No 3 says the other two are liars, not just No 1. Therefore No 2 is lying also.

If No 3 is telling the truth, then the other two are liars. If No 3 is lying, then one or the other of the first two might be telling the truth. This has been established as incorrect. Therefore, the only option left is that No 3 is telling the truth and can give truthful directions.

1
Mon 8 Mar, 2010 10:53 pm
@Ionus,
wow! that sounds really good...thanks!!
Seed

1
Mon 8 Mar, 2010 11:01 pm
Don't trust him, he's lying.
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Ionus

1
Tue 9 Mar, 2010 01:25 am
Dont you believe Seed, ladadaeeelaenenene..however you pronounce it....he is a notorious liar and he has tatoos ! Yes, I am afraid its true !
0 Replies

JazzMinnie

1
Fri 15 Oct, 2010 03:04 pm
The third one.
0 Replies

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