Puzzle 1
Can you find a number such that …
… its double is fourteen more than its quarter?
Puzzle Copyright © Kevin Stone
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Hint
The number is less than 20.
Answer
8.
Reasoning
We need a number (N) such that:
2 x N = 14 + N
———
4
Multiply throughout by 4 to give:
8 x N = 56 + N
So:
7 x N = 56
So N = 8.
Double-Checking
Its double is 16.
Its quarter is 2.
So its double is fourteen more than its quarter.
Puzzle 3
If tomorrow's yesterday is today…
…what day is yesterday's tomorrow?
Puzzle Copyright © Kevin Stone
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Hint
Tomorrow's yesterday is always today.
Answer
Today.
Reasoning
Tomorrow's yesterday is always today.
And yesterday's tomorrow is also always today.
Puzzle 4
How many squares of any size on this chessboard do not contain a rook?
Puzzle Copyright © Kevin Stone
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Hint
There are no squares of size 5 x 5.
Answer
There are 125 squares without a rook.
Reasoning
61 squares of size 1 x 1
39 squares of size 2 x 2
20 squares of size 3 x 3
5 squares of size 4 x 4
Giving a total of 61 + 39 + 20 + 5 = 125 squares.