Puzzle 1
This statement is false.
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Answer
This puzzle is a classic paradox. You can wrangle with the logic for hours and never reach an absolute conclusion.
Puzzle 2
Below is a very special grid, around each shaded number are 8 white squares.
However, each white square should have a number from 1 to 7.
Once filled in, these 8 numbers will sum to the shaded number.
In addition, once completed correctly, no row nor column will contain a duplicate number within a white square.
For example, the top row may be 5 6 4 2 3 1 7, etc.
This is a very difficult puzzle, and many people resort to using a computer to help them, which is a challenge in itself.
Puzzle Copyright © Kevin Stone
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Hint
This puzzle almost certainly requires trial-and-error to solve, and there might be more than one solution.
Answer
There might be more than one correct solution.
Puzzle 3
What is the smallest positive integer, which, when multiplied by 6 …
… gives a number consisting of only 8's?
Puzzle Copyright © Kevin Stone
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Hint
Try working backwards.
Answer
148.
148 x 6 = 888.
The easiest way is to divide successive 8's by 6 until you get an integer:
8 ÷ 6 = 1.3333
88 ÷ 6 = 14.666
888 ÷ 6 = 148
Puzzle 4
Sam takes 20 days to build a wall.
Taylor and Kelly each take 10 days to build a wall.
How long will it take the three of them to build a wall if they work together?
Puzzle Copyright © Kevin Stone
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Hint
How many walls can be built in 20 days?
Answer
4 days.
Reasoning
In 20 days, Sam can build 1 wall, and Taylor and Kelly can each build 2 walls.
So, in 20 days, 5 walls can be built.
Therefore, one wall will take 4 days to build.
