536 Puzzles and Curious Problems

(Elliott) #1
Answers 345


  1. SWASTIKA MAGIC SQUARE


It will be seen that the square is perfectly "magic" and that all the prime
numbers are placed within the swastika.


1( S j.~.~ .. ~~ ... ~.
14 j 12 25 8 16

11 ~l4~"'i'~20j 3


..^10 ~ .....^18 _. .....^1 14jZ2. ~
2, 6 19 i 2 )5


  1. IS IT VERY EASY?


All that is necessary is to push up the second figure in every cell and so form
powers of 2, as in the first square. Then the numbers become those in the
second square, where all the eight rows give the same product-4,096. Of
course, every arithmetician knows that 20 equals 1.


(^21) 2° 2 s 128 1 32,
22 2~ 26 i- (^16) 64-
23 211 21 S^256 Z



  1. MAGIC SQUARE TRICK


Though the figures in each cell must be different in every case, it is not re-
quired that the numbers shall be different. In our smaller square the rows of
cells add to 15 in ten different directions, for in addition to the rows, columns,
and two long diagonals, two of the short diagonals also add to 15. This is the
greatest number of directions possible. Now, all we have to do is to express
each number with a different figure by repeating it with arithmetical signs. The

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