Puzzle 201
How many squares of any size on this chessboard do not contain a rook?
Puzzle Copyright © Kevin Stone
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Hint
How many 2 x 2 squares are there?
Answer
There are 128 squares without a rook.
Reasoning
There are 62 squares of size 1 x 1.
There are 41 squares of size 2 x 2.
There are 18 squares of size 3 x 3.
There are 6 squares of size 4 x 4.
There is 1 square of size 5 x 5.
Giving a total of 62 + 41 + 18 + 6 + 1 = 128 squares.
Puzzle 202
What is the next number in this sequence:
0 · 0 · 1 · 2 · 2 · 4 · 3 · 6 · 4 · 8 · 5 · ?
Puzzle Copyright © Kevin Stone
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Hint
There are two sequences merged.
Answer
10.
Reasoning
There are two sequences mixed together.
0 1 2 3 4 5
and
0 2 4 6 8 ?
Puzzle 204
If Malcolm, Laura, John, Alan, Brenda and Kevin like chocolate …
… and Norman, Steve, Thomas, Zebedee do not …
… does Peter like chocolate?
Puzzle Copyright © Kevin Stone
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Hint
Think about the alphabet.
Answer
No.
Only people with initials A-M do like chocolate, others do not.
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