Puzzle 1
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 is more than one solution.
Answer
There are a number of correct solutions, this is just one of them.
Puzzle 2
What is the only number not found in the Roman numeral system?
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Puzzle 3
What letter comes next in this sequence:
E · O · E · R · E · ?
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Hint
This is a very common sequence.
Answer
X.
The last letters of the words one, two, three, four, five, six.
Puzzle 4
If a bottle weighs eight ounces plus half a bottle …
… what is the weight of a bottle and a half?
Puzzle Copyright © Kevin Stone
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Hint
Find the weight of the bottle first.
Answer
24 ounces.
The bottle weighs 16 ounces.
Reasoning
As a bottle (B) weighs eight ounces plus half a bottle, we can write this as:
B = 8 + 1/2 x B
1/2 x B = 8
B = 16
As the bottle weighs 16 ounces, a bottle and a half weighs 16 + 8 = 24 ounces.
