Question: You are awoken at 3 A.M. by a knock on your door. Your parents call you to let you know that they are there for breakfast. You are confused but quickly think of what food you have. You have bread, jam, butter, and eggs. What do you open first?
Answer: The door for your parents.
Question: There is a party of 100 high-powered politicians. All of them are either honest or liars. You walk in knowing two things:
- At least one of them is honest.
- If you take any two politicians, at least one of them is a liar.
From this information, can you know how many are liars and how many are honest?
Answer: Yes, from the information you know 1 is honest and 99 are liars.
One of them is honest satisfying the first piece of information. Then if you take the honest man and any other politician, the other politician must be a liar to satisfy the second piece of information, 'If you take any two politicians, at least one of them is a liar.' So 99 are liars.
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