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Daily Brain Teaser / Puzzle
October 21, 2006
Previous Days Teaser -- Want More? -- Next

An old nursery rhyme starts: Who stole the cookie from the cookie jar.
Let us find out from the following statements, of which only one is true:
ANN: Harry stole the cookie from the cookie jar.
HARRY: Fred stole the cookie from the cookie jar.
LISA: Who me?-can't be.
FRED: Harry is lying when he says that I stole the cookie.
VIEW SOLUTION BELOW

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THE SOLUTION

While this is ostensibly a trial-and-error exercise, a systematic approach is possible. Let us assume, in sum, that each child has stolen the cookie, and see whether the other statements are then compatible with the condition that three are lies and only one statement is true. If Ann is the thief, her statement is a lie, Harrys statement is a lie, Lisas statement is true, Freds statement is true. Therefore this cannot be the solution In practice, it saves time to test the person who makes a statement about herself, in this case Lisa. If Lisa is the thief, then Anns statement is a lie, Harrys statement is a lie, Lisas statement is a lie, Freds statement is true.