Puzzle 13
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 15
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 16
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.