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Select the correct statements regarding Magic Square: Magic Square of Order 1 is Trivial Sum of 2 magic squares is a magic square Magic Square of Order 2 is not possible The magic constant (the sum of row/columns/diagonal elements) for a 7*7 possible magic square is 260

Question

Select the correct statements regarding Magic Square: Magic Square of Order 1 is Trivial Sum of 2 magic squares is a magic square Magic Square of Order 2 is not possible The magic constant (the sum of row/columns/diagonal elements) for a 7*7 possible magic square is 260

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Solution

  1. "Magic Square of Order 1 is Trivial" - This statement is correct. A magic square of order 1 is trivial because it consists of only one cell containing the number 1.

  2. "Sum of 2 magic squares is a magic square" - This statement is incorrect. The sum of two magic squares is not necessarily a magic square. A magic square has specific properties that may not be preserved when two such squares are added together.

  3. "Magic Square of Order 2 is not possible" - This statement is correct. A magic square of order 2 (2x2) is not possible because there is no way to arrange the numbers 1, 2, 3, and 4 in such a square to make the sums of all rows, columns, and diagonals equal.

  4. "The magic constant (the sum of row/columns/diagonal elements) for a 77 possible magic square is 260" - This statement is incorrect. The magic constant for a 7x7 magic square is 175. The magic constant of a magic square of order n can be calculated using the formula n(n^2+1)/2. For n=7, this gives 7*(49+1)/2 = 175.

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