The warden meets with 23 new prisoners when they arrive. He tells them, "You may meet today and plan a strategy. But after today, you will be in isolated cells and will have no communication with one another.
"In the prison is a switch room, which contains two light switches labeled 1 and 2, each of which can be in either up or the down position. I am not telling you their present positions. The switches are not connected to anything.
"After today, from time to time whenever I feel so inclined, I will select one prisoner at random and escort him to the switch room. This prisoner will select one of the two switches and reverse its position. He must flip one switch when he visits the switch room, and may only flip one of the switches. Then he'll be led back to his cell.
"No one else will be allowed to alter the switches until I lead the next prisoner into the switch room. I'm going to choose prisoners at random. I may choose the same guy three times in a row, or I may jump around and come back. I will not touch the switches, if I wanted you dead you would already be dead.
"Given enough time, everyone will eventually visit the switch room the same number of times as everyone else. At any time, anyone may declare to me, 'We have all visited the switch room.'
"If it is true, then you will all be set free. If it is false, and somebody has not yet visited the switch room, you will all die horribly. You will be carefully monitored, and any attempt to break any of these rules will result in instant death to all of you"
What is the strategy they come up with so that they can be free?
Name the three-letter word that can complete the below words:
A) L O _ _ _ E
B) E D U _ _ _ E
C) _ _ _ E R
D) _ _ _ T L E
A container contains 100 eggs. They can be either fresh or rotten. What is sure is the fact that there is at least one fresh egg in that container.
If you are asked to pick two eggs randomly from the container, at least one of them will be rotten.
Can you calculate how many eggs in that container are fresh?
If you say my name, I will no longer exist. What am I?
There is a box full of marbles,
all but two are blue,
all but two are green,
and all but two are red.
How many marbles are in the box?
Cristina leaves home and then she makes exactly 3 left turns and returns home where she found 2 girls wearing the mask.
Who are these two masked girls?
If 21x = 79x, what is the value of x?
Can you count the number of triangles in the given figure?
A man always keeps a spare tyre in his car. To make full use of all the five tyres, he changes the tyres in a manner that for a distance of 1, 00,000 km, each of them runs the same distance.
Can you calculate the distance travelled by each tyre on that journey?
By moving exactly three matchsticks can you make the below equation true.It can be solved by 3 ways.
There are five vowels (a, e, i, o, u) in the English language.
Can you tell us a word that contains all these vowels?
There is a cryptic organization called Cicada 3301 that posts challenging puzzles online, possibly to recruit codebreakers and linguists.
