Q. 74.6( 65 Votes )

In a magic square each row, column and diagonal have the same sum. Check which of
the following is a magic square.

(i)


(ii)

Answer :

(i) Sum of the rows of the box, 
5 - 1 - 4 = 0
-5 - 2 + 7 = 0
0 + 3 - 3 = 0
Sum of the columns,
5 - 5 + 0 = 0
-5 - 2 + 7 = 0
0 + 3 - 3 = 0
Sum of the diagonals,
5 - 2 - 3 = 0
0 - 2 - 4 = -6
As one of the diagonals does not equal to 0, it is not a magic square.
(ii) Sum of the rows,
1 - 10 + 0 = -9
-4 - 3 - 2 = -9
-6 + 4 - 7 = -9
Sum of the columns,
1 - 4 - 6 = -9
-10 - 3 + 4 = -9
0 - 2 - 7 = -9
Sum of the columns,
1 - 3 - 7 = -9
0 - 3 - 6 = 9
As the sum of rows, columns and diagonals are equal. This is a magic square.

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