by maypaxvobiscum » Sun May 22, 2011 4:05 pm
1) An ant stands in the middle of a circle (3 meters in diameter) and walks in a straight line at a random angle from 0 to 360 degrees. Problem is, it can only walk one meter before it needs a break. To make things even more exasperating, the ant has the memory of a fish and forgets what direction it has just walked in. After the break, it gets all dizzy and thus chooses another random direction from 0 to 360 in an attempt to escape the circle again.
As you can well imagine, it could escape the circle after just 2 walks (just one break needed). Or... it could take 20,000 walks (19,999 breaks needed)!! There might even be the very slim possibility it might take 20,000^20,000 walks. You can probably guess what I'm going to ask...
What is the average amount of walks required for the ant to escape the circle?
2) You find yourself inside a room with (4) doors,(1 to 4).Only one door leads to freedom!
And there are also three persons inside this room(1st. person,2nd. person,and 3rd. person)standing infront of the doors (1 to 3) respectively,no one was standing infront of the 4th. door.
Your aim is to get out through the right door by asking those persons only one(Yes or No) question i.e. you should ask the same question to each one of them,without changing the question .
Now,,,
1-The first person to be asked will answer randomly ( may lie or may tell the truth).
2-The 1st. person will tell the truth only if the 2nd. person did.
3-The 2nd. person will tell the truth only if the 3rd. person did.
4-The 3rd. person will tell the truth only if the 1st. person did.
Which question can lead you to freedom?
by