1
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)
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) |
||||||
Open in App
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.
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.
Suggest Corrections
0
)
