How many rectangles are in the picture chess board?a)1000b)1296c)1206d)1096Correct answer is option 'B'. Can you explain this answer?

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SSC CGL Exam > SSC CGL Questions > How many rectangles are in the picture chess ...

How many rectangles are in the picture chess board?

a)
1000
b)
1296
c)
1206
d)
1096

Correct answer is option 'B'. Can you explain this answer?

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How many rectangles are in the picture chess board?a)1000b)1296c)1206d...

The correct answer is 1296. A chessboard consists of 8 rows and 8 columns, resulting in a total of 64 squares. However, rectangles can be formed by combining different numbers of squares, including squares that are not adjacent to each other. By considering rectangles of different sizes, we can count the number of rectangles on the chessboard. The formula to calculate the number of rectangles on an m x n grid is (m * (m + 1) * n * (n + 1)) / 4. In this case, since the chessboard is 8 x 8, the calculation would be (8 x 9 x 8 x 9) / 4 = 1296.

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