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Logic
Pizza Party |
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Four friends left one slice of pizza in the kitchen
and went into the next room to play games. During
the next half hour, each friend left the room for
a few minutes and then returned. At the end of the
hour, all four went back into the kitchen and found
that the last slice of pizza was gone. Use the following statements to figure out who
ate it. Only one of the following statements is
true. Linda: "Mike ate it."
Mike: "Olive ate it."
Ned: "Who me? Can't be."
Olive: "Mike is lying when he says I ate it."
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Ned ate the last slice of pizza. It's impossible
for Linda's, Mike's, or Ned's statement to be the
only one that is true. (If Linda's statement that
Mike ate it is true, then Ned's statement is also
true. If Mike's statement that Olive ate it is true,
then Ned's statement is also true.) If Ned's statement
is true, then no one else's statement can be true.
Therefore, Ned's statement is false.
Source: Inspired by brainteaser.com
#62.
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