Find the No of rectangles that are not square on a chess board ........

Quantitative Aptitude ( CCS) Number System

Find the No. of rectangles that are not square on a chess board?

1764

1600

1296

1092

For an n*n chessboard, there are 13 + 23 + 33+…..+ n3 rectangles.

So for an 8*8 chessboard, there are, rectangles = 13 + 23+….+ 83

= no. of rectangles = [{n2}*{(n+1)2}]/4

n = 8, we get no. of rectangles = 1296

No. of rectangles that are not squares in an 8*8 chessboard
= 1296 – 204 = 1092

Hence, option 4 is the correct answer.

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