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?

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arjun00848 Expert Asked on 15th August 2015 in Hadest puzzles.
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  • 2 Answer(s)

    1 is honest and other 99 are liars.

    silent47 Expert Answered on 15th August 2015.
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    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.

    Anshika Starter Answered on 31st May 2019.
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