# out of any two polititions ,one is a liar

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?

1 is honest and other 99 are liars.

Answer-1 honest 99 liars

Explanation:

Given that choosing any two politicians one would surely be a liar and atleast one is honest.

So, considering the case of one honest politicians call him A.

Now for A we have 99 options to choose another politician and as given A is honest and also other one has to be a liar in that case , any politician we choose from 99 , he will be a liar for sure to justify the given conditions.

Therefore , only 1 is honest and 99 liars.

### Your Answer

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