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sujith

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  1. Two persons A and B are each wearing a hat with a number written on it. Neither A nor B can see the number on their own hat but they can see the number on the other’s. A sees number 5 on B’s hat and B sees number 4 on A’s hat. They are told that A has the product of two positive integers written on her hat and that B has the sum of the same two numbers written on her hat. First B is asked whether she knows for sure what the two numbers are. If her answer is ‘no’, A is asked the same question and so on until someone answers ‘yes’. Assuming that both are perfect logicians and answer truthfully, who says ‘yes’ first and when?
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