Puzzle 257
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 squares of size 1 x 1 are there?
Answer
There are 116 squares without a rook.
Reasoning
There are 61 squares of size 1 x 1.
There are 37 squares of size 2 x 2.
There are 15 squares of size 3 x 3.
There are 3 squares of size 4 x 4.
Giving a total of 61 + 37 + 15 + 3 = 116 squares.
Puzzle 258
Starting with BALL, change one letter at a time until you have the word HEAD.
Each change leaves the other letters in their original places and must result in a proper word.
What is the minimum number of steps required to achieve this change?
Puzzle Copyright © Kevin Stone
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Hint
There is more than one way of completing this in 4 moves.
Answer
Ball bell hell heal head.
Ball bell hell held head.
Ball hall hell heal head.
Ball hall hell held head.
Puzzle 259
I was recently given a new watch for my birthday.
However, as usual with my presents, it was quite useless as it loses 6 minutes every hour.
I set it using my friend's accurate watch at midnight, and it now shows 10:39am.
I know that the watch stopped 21 minutes ago, so what is the correct time now?
Puzzle Copyright © Kevin Stone
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Hint
How many watch minutes pass in a real hour?
Answer
12:11pm.
Reasoning
The watch now shows 10:39am, so we know that 10 x 60 + 39 = 639 watch minutes have passed.
Since the watch is losing 6 minutes every hour, for every real hour that has passed, the watch will show 54 minutes.
So, 639 ÷ 54 ≈ 11.8333 real hours have passed.
This equals 710 minutes, which is 11 hours and 50 minutes = 11:50am.
The watch stopped 21 minutes ago, therefore the time must now be 12:11pm.
Puzzle 260
James, Simon, Ian, and William all like walking.
But Dave, Steven, Alan, and Alastair do not.
Does Adrian?
Puzzle Copyright © Kevin Stone
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Hint
Look at the number of letters in each of the names.
Answer
No.
Those that like walking have an odd number of letters in their name.
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