Five of your friends took a week-long vacation. You know that in this group not every one is a perfect truth-teller, and if someone is a liar, he is a consistent liar.
Since they know you are an avid puzzle-solver, they decided that each day one of them will send you a message, regarding their attitude towards truth-telling.
The sequence of their messages is as follows :

Monday: There is exactly one liar among us.
Tuesday: I am not a liar.
Wednesday: There are exactly 3 liars among us.
Thursday: There are exactly 5 liars among us.
Friday: There are exactly 4 liars among us.

On Saturday you were asked:
Were you able to reason out how many of us are LIARS?

If yes, on what day; if not, at least what have you figured out?

(In reply to Figures don't lie, but liars do figure (spoiler) by Steve Herman)

Yes, the relevant conclusion on the number of liars (which is what the puzzle asked for) could be made on Thursday, but the statement "If 3, then Tuesday and Wednesday are truthful" would not yet be known to be true as it could be Wednesday and Friday that are the truth tellers.

Posted by Charlie on 2014-12-23 11:15:55