# Logical Reasoning : Numbers Puzzles

## Question

How many squares can be formed using the checkered 1 * 1 squares in a normal chessboard?

- 64 squares
- 204 squares
- 1296 squares
- 65 squares

#### Correct Answer

Choice (2). 204 squares

#### Explanatory Answers

There are 64 (1 * 1) squares in a chess board

There are 49 (2 * 2) squares in a chess board

There are 36 (3 * 3) squares in a chess board

There are 25 (4 * 4) squares in a chess board

There are 16 (5 * 5) squares in a chess board

There are 9 (6 * 6) squares in a chess board

There are 4 (7 * 7) squares in a chess board

There is 1 (8 * 8) square in a chess board

The number of squares that can be formed using the 1 * 1 checkered squares of a chess board is therefore, given by the relation 1

^{2} + 2

^{2} + 3

^{2} + 4

^{2} + ... + 8

^{2} = 204

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