It is known that some naughty person out of these four people, Ace, Ben, Carl and Dan, took my sweets without my permission. I asked them who took my sweets and these are the responses:
Ace: Carl did not take the sweets.
Ben: I did not take the sweets.
Carl: I took the sweets.
Dan: Ace did not take the sweets.
If two of them lied and two of them told the truth, and only one of them took the sweets, then who is the culprit that took the sweets?!
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Actually, Ace could have taken the the sweets, too, by the wordings of this puzzles.
Ace and Carl said 2 different things, so one must have lied while the other being truthful. Looking at the other statements in which both are being in defense of 2 other people, and we know that one of these defenses are deceptive, thus the guilty party must have been one of them, that is either Ben or Ace, and being told that there's only one culprit among the four, then Carl must have been innocent of the theft but guilty of lying, and Ace told the truth.
I made another assumption on my own that only liars can be thieves, and with that Ace is cleared of any suspicion and we have Ben as the culprit.