I got two correct answers to this puzzle, though I believe many people have done this puzzle in the past. The correct ones were from Tishyaa Chaudhry and Anisha Sharma Goyal – congratulations to both!
The trick to the puzzle is as follows: Every domino can cover one white and one black square, there is no way to cover two whites or two blacks. Once you establish this, you will realize that the two opposite corners are of the same color, and hence if you remove two whites, there is no way to cover an unequal number of white and black squares on a chessboard.
Solution to the puzzle is also on the following link:
http://www.educreations.com/lesson/view/solution-to-puzzle-13/7358350/?s=9Sy04f&ref=link
Hope you enjoyed the puzzle!