## THE ARTILLERYMEN'S DILEMMA.

(

Money Puzzles)

[Illustration: [Pyramid of cannon-balls]]

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"All cannon-balls are to be piled in square pyramids," was the order

issued to the regiment. This was done. Then came the further order, "All

pyramids are to contain a square number of balls." Whereupon the trouble

arose. "It can't be done," said the major. "Look at this pyramid, for

example; there are sixteen balls at the base, then nine, then four, then

one at the top, making thirty balls in all. But there must be six more

balls, or five fewer, to make a square number." "It _must_ be done,"

insisted the general. "All you have to do is to put the right number of

balls in your pyramids." "I've got it!" said a lieutenant, the

mathematical genius of the regiment. "Lay the balls out singly." "Bosh!"

exclaimed the general. "You can't _pile_ one ball into a pyramid!" Is it

really possible to obey both orders?

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