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You are standing at a fork in the road, and you know that one path leads to your destination, while the other path leads to certain doom.
You also know that there are two people standing at the fork, one of whom always tells the truth and one of whom always lies.
You can only ask one question to one of the people to determine which path to take.
What question should you ask?
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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 are presented with two identical envelopes, each containing money. One envelope has twice as much money as the other. You are allowed to choose one envelope and keep the money it contains.
After you choose an envelope, you are given the option to switch to the other envelope. Should you switch? Is there a strategy that gives you the highest chance of getting the envelope with the most money?
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You have two ropes, each of which takes exactly 60 minutes to burn from one end to the other.
The ropes are not identical, nor are they uniform – that is, it’s not guaranteed that one half of the rope takes exactly 30 minutes to burn.
How can you use these two ropes to time exactly 45 minutes?
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Five prisoners, two men and three women were made to sit around a pentagonal table. The warden comes and places a fruit on each one’s head such that the prisoners do not know the type of fruit on their heads but they can see the fruits on the head of the others.
They were told that the fruits are either apple or orange and there are at least two fruits of each types.
Then how many of them can deduce the exact fruit on their heads if they are not allowed to communicate with each other?
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