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Question

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

5

− 1

− 4

1

− 10

0

− 5

− 2

7

− 4

− 3

− 2

0

3

− 3

− 6

4

− 7

(i)

(ii)

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Solution

It can be observed that in square (i), every row and column add up to give 0. However, the sum of one of its diagonals is not 0.

As − 4 − 2 = −6 ≠ 0,

Therefore, (i) is not a magic square.

Similarly, in square (ii), each row, column, and diagonal add up to give −9. Therefore, (ii) is a magic square.


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