Have not kept me

If you’ve got me, you want to share me; if you share me, you haven’t kept me. What am I?




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Suppose we lay down two cups in front of you. One of the cups is filled with tea and the other one with coffee. Now we ask you to take a spoonful of tea and mix it with the coffee. At this moment, the coffee cup has a mixture of tea and coffee. You have to take that mixture (spoonful) and add it back to the tea.

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There are people and strange monkeys on this island, and you can not tell who is who (Edit: until you understand what they said - see below). They speak either only the truth or only lies.
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Crossword puzzles

In the 1920s, people feared that crossword puzzles would contribute to illiteracy.