How can we do it?
We all know that a chess board has 64 squares This can be completely covered by 32 cardboard rectangles, each cardboard covering just 2 squares. Supposing we remove 2 squares of the chess board at diagonally opposite corners, can we cover the modified board with 31 rectangles? If it can be done, how can we do it? And if it cannot be done, prove it impossible.
No It cannot be done. Each rectangle covers one white square and one black square, because on a chess board the white and black squares are always adjacent…..The two squares which we remove from the chess board are of the same colour, and so the remaining board has two more boxes of one colour than the other. And after the rectangles have covered 60 boxes, there will be left two squares of the same colour…… Obviously the remaining rectangle cannot cover these two squares.
It can not be done.
When we remove 2 squares of the chess board at diagonally opposite corners they have the same color so there is a difference between the blacks and white colors now and since each carboard is covering 2 squares that are made of black and white we cant cover two whites or two blacks squares
Your Answer
More puzzles to try-
Transport Puzzle
A man transports a fox, a duck and corn in a boat. The boat is only capable of transporting himself ...Read More »Where is the 1 Rupee gone
Two women set out to the market to sell some oranges. Each had 30 oranges. The first lady sold oranges ...Read More »THE CARD PARADOX
Imagine you’re holding a postcard in your hand, on one side of which is written, “The statement on the other ...Read More »Fake FIR riddle
One theft happens in a village and police inspector asked one constable to reach the spot and take the FIR. ...Read More »Dimensions of Box
There is a box. The area of its top is 240 square units, the area of the front is 300 ...Read More »Drive with closed eye
You are in the passenger seat while John is driving a car. John is very good in driving. He closes ...Read More »Biggest ant in the world riddle
What’s the biggest ant in the whole world?Read More »What is next
If, 4+2=26, 8+1=79 and 6+5=111. Then, what is 7+3=……Read More »How many handshakes in African-US summit ?
During the African-US summit last year, 10 presidents left the conference room and greeted one another. Assuming no 2 presidents ...Read More »Hard Number Series Puzzle
What number comes next in the series? 5 15 5 18 5 24 14 20 _Read More »Looks like the moon riddle
What is yellow, looks like the moon and has seeds ?Read More »Poisonous Pill Puzzle
An evil man kidnapped someone and made them take one of two pills. One was harmless, but the other was ...Read More »How much loss does the shopkeeper have to bear ? MATHEMATICAL TRICk
I purchases perfume from a store and gave him a thousand rupee note. The perfume cost Rs.300. Since the store ...Read More »TIME PUZZLES
Fifty minutes ago if it was four times as many minutes past three o’clock, how many minutes is it until ...Read More »Find out a relation and tell which number will suffice the pattern?
In the given figure, you can see that there are four circles numbered from 1 to 4. In the fourth ...Read More »One colour but not one size riddle
He has one colour, but not one size, Stuck at the bottom, yet easily flies. Present in sun, but not ...Read More »Getting off around riddle
A student zips on his scooter to ride to the train station to get to college. His home is close ...Read More »Sundar Pichai Birthday puzzle, How come?
One day Sundar Pichai celebrated his birthday. Two days later his older twin brother, Larry, celebrated his birthday. How come? ...Read More »City but no people
What has cities, but no people, has forests, but no trees, and seas, but no fish?Read More »What is the chance that the last passenger will get his seat?
There are 100 passengers boarding a 100 passenger airplane. When passenger 1 gets onto the plane, he is dissoriented, so ...Read More »