536 Puzzles and Curious Problems

(Elliott) #1

square, in which the numbers in all
the eight lines if multiplied together
give the same product in every case.
You are not allowed to change, or add
to, any of the figures in a cell or use
any arithmetical sign whatever! But
you may shift the two figures within
a cell. Thus, you may write 27 as 72,
if you like. These simple conditions
make the puzzle absurdly easy, if you
once hit on the idea; if you miss it, it


Magic Square Puzzles 143

27 20 25


22 24 26


23 28 21


will appear to be an utter impos-
sibility.


  1. MAGIC SQUARE TRICK


Here is an advertising trick that
appeared in America many years ago.
Place in the empty squares such fig-
ures (different in every case, and no
two squares containing the same fig-
ure) so that they shall add up 15 in as
many straight directions as possible.
A large prize was offered, but no
correct solution received. Can the
reader guess the trick?


  1. A FOUR-FIGURE MAGIC SQUARE


Because every cell in this square
contains the same number, 1234, the
three columns, three rows, and two
long diagonals naturally add up alike.
The puzzle is to form and place nine
different four-figure numbers (using
the same figures) so that they also
shall form a perfect magic square.
Remember that the numbers together


lL34


lZ3~

1234


1234 1234


123~ 1234


1Z~4 1234

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