A man had dealt about half the cards for a bridge game when he was interrupted by a telephone call. When he returned, no one could remember who had been dealt the last card. Without knowing the number of cards in any of the 4 partly dealt hands, or the number of cards left in the un-dealt part of the pack, how could the deal be completed so that everyone received the cards they would have received had the deal not been interrupted?
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The dealer dealt the bottom card to himself, then continued dealing from the bottom counter-clockwise.
The engineering department was arranging for a rather expensive catered lunch to bid farewell to their retiring colleague. They calculated that it would cost each person $30. One good mathematician remarked, "It's lucky that there aren't five fewer of us to split the...