While working on a sermon the pastor heard a knock at his office door. "Come in," he invited. A sad-looking man in threadbare clothes came in, pulling a large pig on a rope. "Can I talk to you for a minute?" asked the ma... Read more of Ten Excuses A Woman Gives For Calling Off The Relationship at Free Jokes.caInformational Site Network Informational
Home Top Rated Puzzles Most Viewed Puzzles All Puzzle Questions Random Puzzle Question Search


(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



Add to del.icio.us Add to Reddit Add to Digg Add to Del.icio.us Add to Google Add to Twitter Add to Stumble Upon
Add to Informational Site Network

Random Questions

A Fence Problem.
Money Puzzles
A Charitable Bequest.
Money Puzzles
The Lockers Puzzle.
Money Puzzles
Crossing The Stream.
Measuring, Weight, and Packing Puzzles.
The Knight-guards.
The Guarded Chessboard
Digital Division.
Money Puzzles
Next-door Neighbours.
Money Puzzles
The Mouse-trap Puzzle.
Combination and Group Problems
The Widow's Legacy.
Money Puzzles
Queer Multiplication.
Money Puzzles
A Puzzling Legacy.
Money Puzzles
The Fifteen Orchards
King Arthur's Knights.
Combination and Group Problems
The Century Puzzle.
Money Puzzles
The Wassail Bowl.
Measuring, Weight, and Packing Puzzles.