Welcome to MindCipher, a social repository of the world's greatest brain teasers, logic puzzles and mental challenges.

## Mutilated Chessboard Problem 10

Suppose a standard 8×8 chessboard has two diagonally opposite corners removed, leaving 62 squares. Is it possible to place 31 dominoes of size 2×1 so as to cover all of these squares?

No. It's impossible.

The puzzle is impossible. Any way you would place a domino would cover one white square and one black square. A group of 31 dominoes would cover 31 white and 31 black squares of an unmutilated chessboard, leaving one white and one black square uncovered. The directions had you remove diagonally opposite corner squares, and such squares are always either both black or both white.

#### Comments

Tarun245

No

leilei3915

2018529 leilei3915

# polo ralph lauren outlet

Check out other puzzles:

Like this? You might also like:
Interview Question - Databases
Right or Left?
How far can you go?
Submitted by
Ravi
about 9 years ago
Likes
Difficulty 7.8 ?

Tags