Wednesday, April 1, 2020

Chess related questions


Q.1) Find the number of squares which can be formed from 8 cm x 8 cm chessboard?
Q.2) Find the number of rectangles which can be formed from 8 cm x 8 cm chessboard?
Q.3) Find the number of pure rectangles which can be formed from 8 cm x 8 cm chessboard?
Q.4) Find the number of parallelograms which can be formed from 8 cm x 8 cm chessboard?
Q.5) Two squares are chosen at random from small squares drawn on a chess board. Find the number of ways in which 2 squares can be chosen such that they have exactly one corner in common?
Q.6) Find the number of ways in which a white and a black square on a chess board be chosen so that two squares do not belong to same row or column?
Q.7) In how many ways can you place 2 rooks on 8*8 chessboard such that they are not in attacking positions?
Q.8)  If two squares are chosen on a 8*8 chessboard, what is the probability that they have one side in common?
Q.9) If two squares are chosen on a 8*8 chessboard, what is the probability that they have one vertex in common?

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