Puzzle | Chessboard and dominos

There is an 8 x 8 chessboard in which two diagonally opposite corners have been cut off. You are given 31 dominoes, and a single domino can cover exactly two squares. Can you use the 31 dominoes to cover the entire board? 

Check if you were right - full answer with solution below.

Solution: 

At first, it seems that there were 8*8 = 64 squares 

Then 2 have been cut off, so Squares remaining = 64-2 = 62 

And there are 31 dominoes, so they will cover the remaining chessboard coz = 31*2 = 62 

But this is not the answer.

👁 dominoes_on_a_chess_board

Each domino we set on the chessboard will always take 1 Black and 1 White square.

Therefore, 31 dominos will take 31 white square and 31 black squares exactly.

On this chessboard however, we must have 32 black and 30 white squares(if we cut the corners with white squares) or 32 white and 30 black squares(if we cut the corners with black squares). Hence it is not possible to do so. 

Answer: No