Logic #75: The Apple Thief

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Logic #75: 

 Mrs. Stotch is a fifth grade teacher. One of her students took her apple. Mrs. Stotch has narrowed the suspects down to Billy, Paige, and Tyler. Each of these students give these statements:

Billy: I didn't do it...
Paige: I really didn't do it.
Tyler: Paige did it! I saw her!

Mrs. Stotch knows that only one of the kids is telling the truth. Which one is telling the truth and who took the apple?  

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Okay, this logic is hard. Here's a hint: Billy and Tyler are boys and Paige is a girl. One of them aren't lying and one of them took the apple. Mrs. Stotch knew one of them was telling the truth!


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