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

CAT, XAT, TANCET Practice Questions and Answers : Listed Topicwise

Number Theory		Permutation Combination		Probability		Inequalities
Geometry		Mensuration		Trigonometry		Coordinate Geometry
Percentages		Profit Loss		Ratio Proportion		Mixtures Alligation
Speed Time Distance		Pipes Cisterns		Interest		Races
Average, Mean		AP, GP, HP		Set Theory		Clocks Calendars
Algebra		Function		English Grammar		General Awareness
Data sufficiency		TANCET Papers		XAT Papers