I am thinking of a number
The king is thinking of a number he gives you some clues if you get it right you get the princess' hand in marriage if you get it wrong you are a dead man. So here are the clues.
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It is between 1 and 10
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it is not between 1 and 4
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It is a prime number.
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it is less then 9
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it is more then 6
What is it?
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1 solution
Knowing it is between 1-10, we have options 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
Knowing it is more than 6, we have options 7, 8, 9, 10.
Knowing it is a prime number, we have only one option left, 7.
You could use the other information, but this method is the quickest way to solve.