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Three suspects each blame another, but only one statement is true. From their claims, who is guilty?

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Three suspects, Ray, Sam, and Tia, are questioned. Ray says, "Sam did it." Sam says, "Tia did it." Tia says, "I did not do it." Only one statement among the three is true. Who is guilty?
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Three suspects, Ray, Sam, and Tia, are questioned. Ray says, "Sam did it." Sam says, "Tia did it." Tia says, "I did not do it." Only one statement among the three is true. Who is guilty?

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Answer

Ray is guilty. If Tia's statement is the true one, then both Ray's and Sam's accusations must be false, meaning neither Sam nor Tia is guilty, which by elimination leaves Ray as the culprit.

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