If eleven plus two equals one,
what does nine plus five equal?
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Five contestants are standing on stage facing the audience.
You are given a rectangular sheet of paper that is twice as long as it is wide.
You are also given a pair of scissors.
How can you cut the sheet of paper into two pieces such that the ratio of the length to the width is 1:2 in both pieces?
Note: you can only make one cut with the scissors.
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You are given a room with three light switches outside of the room.
Each switch corresponds to one of three light bulbs inside the room. You can turn the switches on and off as many times as you want, but you can only enter the room once.
How can you determine which switch corresponds to which light bulb?
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You have six glasses, all of which are initially empty.
You can perform two types of operations: you can either pour a glass of water into another glass, or you can empty a glass entirely.
Is it possible to end up with exactly three glasses each containing two units of water?
If so, how can you achieve this?
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