Listens - Download the EBook Deaf AnecdotesInformational Site Network Informational
Privacy
Home Top Rated Puzzles Most Viewed Puzzles All Puzzle Questions Random Puzzle Question Search


THE STONEMASON'S PROBLEM.





(Money Puzzles)
A stonemason once had a large number of cubic blocks of stone in his
yard, all of exactly the same size. He had some very fanciful little
ways, and one of his queer notions was to keep these blocks piled in
cubical heaps, no two heaps containing the same number of blocks. He had
discovered for himself (a fact that is well known to mathematicians)
that if he took all the blocks contained in any number of heaps in
regular order, beginning with the single cube, he could always arrange
those on the ground so as to form a perfect square. This will be clear
to the reader, because one block is a square, 1 + 8 = 9 is a square, 1 +
8 + 27 = 36 is a square, 1 + 8 + 27 + 64 = 100 is a square, and so on.
In fact, the sum of any number of consecutive cubes, beginning always
with 1, is in every case a square number.
One day a gentleman entered the mason's yard and offered him a certain
price if he would supply him with a consecutive number of these cubical
heaps which should contain altogether a number of blocks that could be
laid out to form a square, but the buyer insisted on more than three
heaps and _declined to take the single block_ because it contained a
flaw. What was the smallest possible number of blocks of stone that the
mason had to supply?


Read Answer





Next: THE SULTAN'S ARMY.

Previous: THE BANKER'S PUZZLE.



Add to Informational Site Network
Report
Privacy
ADD TO EBOOK




Random Questions

Two New Magic Squares.
Magic Squares Problem.
"strand" Patience.
Problems Concerning Games.
The Century Puzzle.
Money Puzzles
The Dissected Triangle.
Various Dissection Puzzles
Mrs. Timpkins's Age.
Money Puzzles
The Coloured Counters.
Chessboard Problems
The Rook's Tour.
The Guarded Chessboard
The Two Horseshoes.
Various Dissection Puzzles
A Calendar Puzzle.
Unclassified Problems.
The Skipper And The Sea-serpent
MISCELLANEOUS PUZZLES
The English Tour
MISCELLANEOUS PUZZLES
Three Men In A Boat.
Combination and Group Problems
The Star Puzzle.
The Guarded Chessboard
A Queer Coincidence.
Money Puzzles
The Beanfeast Puzzle.
Money Puzzles