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(Q). Find the number of squares in a chess board of 10×12 Grid instead of 8×8 Grid.
Solution:-
total number of squares that can be found within an m×n chessboard (m>n) is given by this formula:

   \frac{{2{n^3} + 3{n^2} + n}}{6} + \frac{{(m - n)(n)(n + 1)}}{2}
Here m = 12 & n = 10
Hence required number of square is:
   \frac{{2 \times 1000 + 3 \times 100 + 10}}{6} + \frac{{(12 - 10)(10)(10 + 1)}}{2}
495          Answer