Four musicians—Maya, Nina, Omar, and Paul—stand in a line. One of them broke a guitar string. - Maya says: 'Omar broke it.' - Nina says: 'I did not break it.' - Omar says: 'Paul broke it.' - Paul says: 'Omar is lying.' If exactly ONE of these four statements is true, who broke the guitar string?
Nina
Omar's and Paul's statements directly contradict each other, so one of them must be true. If Omar's statement were true, Nina's statement ('I did not break it') would also be true, resulting in two true statements. Thus, Paul must be the sole truth-teller. Since Paul is telling the truth, Nina's statement must be false, meaning Nina broke the guitar string.
About this riddle
Logic riddles give you a few facts and ask what must be true. List what you know, cross out what cannot be, and see what is left.
Difficulty: Medium. More like this: Logic riddles with answers or try Einstein's Logic Grid for a different kind of puzzle.
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