## What is magic square explain with example?

Magic Squares are square grids with a special arrangement of numbers in them. These numbers are special because every row, column and diagonal adds up to the same number. So for the example below, 15 is the magic number. So in the square above, 8 + 2 = 10 , 6 + 4 = 10, 1 + 9 = 10 and 3 + 7 = 10.

What is the magic square used for?

The magic square is constructed for the purpose of making perfumes using 4 substances selected from 16 different substances.

How can you define magic square?

a square containing integers arranged in an equal number of rows and columns so that the sum of the integers in any row, column, or diagonal is the same.

### Can a sudoku be unsolvable?

Impossible Sudoku Puzzles are not exactly impossible to solve, but they sure can feel as such. Nevertheless, the rules and principles of Sudoku remain unchanged and, as with an easy level, all you have to do is fill the grid with numbers from 1 to 9 without repeating any digit in each column, row, and group.

What is the magic number in Sudoku?

Solving the Sudoku: Magic number turns out to be 17.

How are the 3×3 magic square puzzles solved?

Each of these 3×3 magic square puzzles is solved by determining the values that make the sums all rows, columns and diagonals equal to the same value. The sum is referred to as the magic constant.

## What is the property of a magic square?

A magic square has the property that the sum of the numbers in every row is the same value, and also the sum of the numbers in every column is that same value, and also the sum of the two diagonals is that same value.

When do you call a square a magic square?

When numbers, used only once, are arranged in the cells of a square matrix consisting of a specific number of columns and rows and the sum of the numbers is the same for each of the columns, rows and both diagonals, it is a magic square. The number that is the sum of all the columns, rows and diagonals is called the magic constant.

How is 45 equal to 3×3 magic square?

On the other hand, this is the same as adding the top row, the bottom row, and three times the middle number, so this is 15+15+middle+middle+middle. The only way to have 45 equal to 30 + 3 x middle, is if the middle number is 5. Once you know the middle is 5, you know that opposite numbers add to 10.