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?
If we assume the first statement to be true, then we see that the second statement is also true. So, obviously the first statement is false implying C did not have bananas. Therefore, either A had bananas or B.
Suppose B had bananas, then we see that both the third and the fourth statements are true thus violating the given condition that only one of the given statements are true. Thus, A had bananas and not B.
If now we assume that B had grapes, then once again we see that both the second and the fourth statements are true, once again violating the conditions of the problem. Thus our assumption that B had grapes is wrong. This implies B had apples and C had grapes.So, we have the final solution as follows:
'A' had 'BANANAS'.
'B' had 'APPLES'.
'C' had 'GRAPES'.
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