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You are here: Home   CAT, XAT, TANCET Prep Questions  Miscellaneous Topics   Numbers Puzzle

Logical Reasoning : Numbers Puzzles

Question

How many squares can be formed using the checkered 1 * 1 squares in a normal chessboard?
  1. 64 squares
  2. 204 squares
  3. 1296 squares
  4. 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 12 + 22 + 32 + 42 + ... + 82 = 204


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