+0  
 
0
990
7
avatar+154 

In a particular group of people, some always tell the truth, the rest always lie. There are
2016 in the group. One day, the group is sitting in a circle. Each person in the group
says, "Both the person on my left and the person on my right are liars."
What is the difference between the largest and smallest number of people who could be
telling the truth?
A 0           B 72           C 126         D 288           E 336

 Apr 18, 2016
 #1
avatar+29 
0

ummmmmm i am pretty sure that it is a-zero,because everyone says that the people on their left and right are liars so that means that evaryone in the group is a liar.

 Apr 18, 2016
 #2
avatar
0

I looked at the question for 30 seconds and I am randomly guessing b-72

 Apr 18, 2016
 #3
avatar+29 
0

Maybe idklaugh

AngelSimmons  Apr 18, 2016
 #7
avatar+154 
0

Thanks for that. :)

A lot more concrete than what ive come up with wink

Mathaholic  Apr 20, 2016
 #4
avatar+5265 
0

This is a paradox. If they all say that the people to their left and right are liars, then they are all telling the truth, but then they would be lying, but then they'd be telling the truth, but then... You get the idea.

 Apr 19, 2016
 #5
avatar+33661 
+5

Imagine the truth tellers and liars alternate around the circle.  To each side of a truth-teller is a liar, so the truth-tellers are correct to say "Both the person on my left and the person on my right are liars."

 

To each side of a liar is a truth teller, so the liars lie by saying "Both the person on my left and the person on my right are liars."

 Apr 19, 2016
 #6
avatar+154 
0

Yes, thanks for that.

However i am still stuck on the answer.

The question says that there are more than one possible combination of liars and truthtellers 

frown

Mathaholic  Apr 20, 2016

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