Question

The number of squares that can be formed on a chess board is

• A. 64
• B. 166
• C. 204
• D. 224

Answer 1

The correct option is C 204

1 unit squares =$8^2$
2 unit squares = $7^2$
3 unit squares = $6^2$
.................................
8 unit squares = 1
Total number of squrares = $8^2+7^2+6^2....+1^2$
$=\frac{8(8+1)(16+1)}{6}=\mathrm{4.3.17}$