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PUZZLES OF NUMBERS

The Coke box

The following is a 4X6 box to put bottles into it. Can you put total 18 bottles in such a way that every row or column will have even number of bottles?

Does it seem to be easy? If so can you tell me how many solution does it have?

The Eight Queen

Do you play chess? The following is a chess board. You have to put eight queens on this board so that no queen can take other. For this, the rule for a queen in chess game should be considered.

Is it difficult? what about a boar of NXN where N is an even integer?

Magic Square

The following is a 5X5 magic square. Can you put numbers in each box from 1 through 25 so that every column sum and row sum remain same. Remember that you have to put 25 numbers in 25 boxes and no numbers can be duplicated.

If this problem is not a matter for you please think of a magic square of NXN where N is any odd integer. Can you solve it? Do you think it easy, too? You are genius! Then I am sorry to think you of a three dimensional cube. Can you solve for a 3X3X3 cube to put numbers from 1 through 27 so that every row or column sum in every side of the cube remain same?

Do you want to have more puzzles? Please do not hesitate to contact me.