Question: You have three stoves: a gas stove, a wood stove, and a coal stove, but only one match. Which should you light first?
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Question: Farmer Brown came to town with some watermelons. He sold half of them plus half a melon, and found that he had one whole melon left. How many melons did he take to town?
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Question: The following sentence is false. The preceding sentence is true. Are these sentences true or false?

Neither, it's a paradox. If the first is true, then the second must be false, which makes the first false; it doesn't work.

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Question: A beggar's brother died, but the man who died had no brother.

How could this be?
Answer: The beggar was a woman.
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Question: What is it the more you take, the more you leave behind?

Footsteps.
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Question: Two fathers and two sons went fishing one day. They were there the whole day and only caught 3 fish. One father said, that is enough for all of us, we will have one each.

How can this be possible?
Answer: There was the father, his son, and his son's son. This equals 2 fathers and 2 sons!
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Question: Take one out and scratch my head, I am now black but once was red.What am I ?
A Match.
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Question: Alice is walking throught the forest of forgetfulness. She wants to know what day of the week it is. She stops and asks a lion and a unicorn. Now the lion lies all of the time on Monday, Tuesday, and Wednesday. The unicorn always lies on Thursday, Friday and Saturday.

Alice asks the lion what day it is, he says, "Well, yesterday was one of my lying days." Alice can't figure it out just from the lion's answer so she asks the unicorn and the unicorn says, "Yesterday was also one of my lying days."
What day is it?