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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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Once upon a time, there were four friends named A, B, C, and D. They needed to cross a bridge to get to their destination, but the bridge was old and rickety and could only hold two people at a time.
To make things more difficult, the bridge was also very dark and the friends had only one torch between them to light the way. The friends knew that the torch had limited battery life and would only last for 17 minutes before it went out.
Here’s how long it takes each person to cross the bridge:
A can cross the bridge in 1 minute.
B can cross the bridge in 2 minutes.
C can cross the bridge in 5 minutes.
D can cross the bridge in 10 minutes.
The friends knew that when two people crossed the bridge together, they had to move at the pace of the slower person. They also knew that they had to conserve the torch’s battery life as much as possible.
The friends needed to figure out a plan to get everyone across the bridge in the fastest possible time before the torch went out. Can you help them come up with a solution?
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You find yourself trapped in a room with a time bomb set to go off in exactly 45 minutes. The bomb is located in a safe, but you don’t know the combination. You notice two ropes hanging from the ceiling, and a note nearby that reads:
“These are the only two ropes in the room. Each rope burns from one end to the other in exactly 60 minutes, but the rate of burning is not uniform. One half of the rope may burn in only 10 minutes, while the other half takes 50 minutes to burn. You must use these ropes and a lighter to measure exactly 45 minutes. Good luck!”
With the clock ticking, you frantically try to figure out how to use the ropes to measure exactly 45 minutes and disarm the bomb before it’s too late.
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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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You are given nine coins, one of which is fake and is either lighter or heavier than the others. You have a balance scale that you can use only twice. How can you identify the fake coin and determine whether it is lighter or heavier than the others using only two weighings?