     Puzzle Details What is the minimum number of queens required on a chess board such that all squares are attacked? [Puzzle Code = ZUCZ]    Direct Link: www.brainbashers.com?ZUCZ Hint: Try this with a real board. Answer: 5.  Puzzle Details How many squares, of any size, can be found on a standard chess board? How many rectangles, of any size, can be found on a standard chess board? Remember when counting the rectangles, that squares are also rectangles. [Puzzle Code = ZLYW]    Direct Link: www.brainbashers.com?ZLYW Hint: How many 8x8 squares are there, what about 7x7. Answer: 1296 rectangles and 204 squares. Puzzle Details How many squares, of any size, do not contain a Rook? [Puzzle Code = ZRZL] Copyright © Kevin Stone    Direct Link: www.brainbashers.com?ZRZL Hint: How many 2x2 squares are there? Answer: 128. There are 62 squares of size 1x1. There are 41 squares of size 2x2. There are 18 squares of size 3x3. There are  6 squares of size 4x4. There is   1 square  of size 5x5. A total of 62 + 41 + 18 + 6 + 1 = 128. Puzzle Details How many squares, of any size, can you find on this chess board that do not contain a Rook? [Puzzle Code = ZYLQ] Copyright © Kevin Stone    Direct Link: www.brainbashers.com?ZYLQ Hint: How many 1x1 squares are there? Answer: There are 116 squares without a rook.1x1: 61 squares. 2x2: 37 squares. 3x3: 15 squares. 4x4:  3 squares. Puzzle Details How many squares, of any size, can you find on this chess board which do not contain a Rook? [Puzzle Code = ZUKB] Copyright © Kevin Stone    Direct Link: www.brainbashers.com?ZUKB Hint: The largest square is 4x4 small squares. Answer: There are 110 squares without a rook. There are 60 squares of size 1x1. There are 35 squares of size 2x2. There are 12 squares of size 3x3. There are 3 squares of size 4x4. A total of 60 + 35 + 12 + 3 = 110. Puzzle Details How many squares, of any size, can you find on this chess board which do not contain a Rook? [Puzzle Code = ZXQO] Copyright © Kevin Stone    Direct Link: www.brainbashers.com?ZXQO Hint: How many 2x2 squares are there? Answer: 93. There are 60 squares of size 1x1. There are 33 squares of size 2x2. A total of 60 + 33 = 93. Puzzle Details How many squares, of any size, can you find on this chess board that do not contain a Rook? [Puzzle Code = ZDPX] Copyright © Kevin Stone    Direct Link: www.brainbashers.com?ZDPX Hint: There are no squares of size 5x5. Answer: 125. There are 61 squares of size 1x1. There are 39 squares of size 2x2. There are 20 squares of size 3x3. There are 5 squares of size 4x4. A total of 61 + 39 + 20 + 5.     