A, B and C just finished their breakfast. One of the boys had apples, another bananas and the third, grapes. If only one of the following four statements is true, who had what for breakfast?

C had bananas.

C did not have grapes.

B did not have grapes.

B did not have apples.

A - Bananas
B - Apples
C - Grapes

(statement 3 is the only correct one)

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HOW I FOUND THIS SOLUTION
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Straight away we know that B did not have bananas, as if he did statements 3 and 4 would both be true.

Therefore the correct statement must be either 3 OR 4. => C must have had grapes, in order for statement 2 to be false, and now we know that B could only have had apples, leaving the bananas for A.

Posted by Adam on 2003-03-03 08:22:38