Question

The total numbers of squares on a chessboard is

• A. $206$
• B. $205$
• C. $204$
• D. $202$

Answer 1

The correct option is C $204$

From Permutation and Combination,

no. of squares of 1x1 $=1^2$

no. of squares of 2x2 $=2^2$

no. of squares of 3x3$=3^2$

.

.

.

no. of squares of 8x8 $=8^2$

Hence Total number of squares $=1^2+2^2+......+8^2$

$⟹204$