Psychic Research - Learn the basics about the field of psychic research. Learn thought transference through drawing or learn about using photography to capture images of ghosts or other phenomena. Visit Psychic ResearchInformational Site Network Informational
Privacy
Home Top Rated Puzzles Most Viewed Puzzles All Puzzle Questions Random Puzzle Question Search


THE THREE GROUPS.

(Money Puzzles)
There appeared in "Nouvelles Annales de Mathematiques" the following
puzzle as a modification of one of my "Canterbury Puzzles." Arrange the
nine digits in three groups of two, three, and four digits, so that the
first two numbers when multiplied together make the third. Thus, 12 x
483 = 5,796. I now also propose to include the cases where there are
one, four, and four digits, such as 4 x 1,738 = 6,952. Can you find all
the possible solutions in both cases?


Answer:

There are nine solutions to this puzzle, as follows, and no more:--
12 x 483 = 5,796 27 x 198 = 5,346
42 x 138 = 5,796 39 x 186 = 7,254
18 x 297 = 5,346 48 x 159 = 7,632
28 x 157 = 4,396
4 x 1,738 = 6,952
4 x 1,963 = 7,852
The seventh answer is the one that is most likely to be overlooked by
solvers of the puzzle.










Random Questions

Making A Flag
MISCELLANEOUS PUZZLES
The Betsy Ross Puzzle.
Various Dissection Puzzles
Stalemate.
The Guarded Chessboard
The Cardboard Box.
Patchwork Puzzles
A New Bishop's Puzzle.
The Guarded Chessboard
The Dice Numbers.
Money Puzzles
Those Fifteen Sheep.
Combination and Group Problems
The Suffragists' Meeting.
Money Puzzles
The Hat-peg Puzzle.
Chessboard Problems
The Four Elopements.
Measuring, Weight, and Packing Puzzles.
A Puzzle For Motorists.
Unicursal and Route Problems
Lions And Crowns.
Chessboard Problems
The Icosahedron Puzzle.
Unicursal and Route Problems
Boards With An Odd Number Of Squares.
Chessboard Problems
The Game Of Kayles
MISCELLANEOUS PUZZLES