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"Impossible" Logic Puzzle - How Many Liars Are At The Party?

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 Brain Teasers   |   Math
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A party has 100 people who are either liars are truth tellers. Liars always lie and truth tellers always say the truth. After the party you ask each person, "How many truth tellers did you shake hands with?" Each person gives a different answer from 0 to 99 (the whole numbers 0, 1, ..., 98, 99). How many liars were at the party? This seems like it's impossible to figure out, but it's not! Watch the video for the surprising solution to the logical puzzle.

Blog post
http://wp.me/p6aMk-4IR

Source (where I learned about this)
https://www.reddit.com/r/riddles/comments/4pt3o3/island_with_100_truth_sayers_and_liars/

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