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Can you know how many are liars and how many are honest?

+1 vote
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There is a party of 100 high-powered politicians. All of them are either honest or liars. You walk in knowing two things:

  • At least one of them is honest.
  • If you take any two politicians, at least one of them is a liar.

From this information, can you know how many are liars and how many are honest?

posted Jun 28, 2019 by Upma

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4 Answers

0 votes

One is honest and all the rest are liars


If two or more of them are honest then second part of the statement is not satisfied- there will be at least one pair of honest politicians, so only one is honest.

answer Jun 28, 2019 by Hanifa Mammadov
0 votes

There are different 50 pairs with politicians without repeating any one from other pairs. In each pair one is a liar. So, there are 50 liars in this party. **That is excluding me**.

answer Jun 29, 2019 by Pandurangan Krishnamoorthy Harur
0 votes

I don´t have enough information,
If I take different 50 pairs, there will be at least 50 liars and at least 1 honest, therefore, there are several answers to this puzzle, ranging from 50 liars and 50 honests to 99 liars and 1 honest

answer Jun 30, 2019 by anonymous
0 votes

There are different 50 pairs with politicians without repeating any one from other groups. In each pair one is a liar. So, there are 50 liars in this party. **That is excluding me**.

answer Jun 30, 2019 by anonymous



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