Wednesday 29 April 2015

Who will succeed in Prison Break

Hello all. I am back with the new puzzle. Here, the scenario is of the prison. In which, prisoners were planning to break the jail. Now, the thing is that, there are switches available for the rooms in which they are staying. Here, the switch ON means that the gate is open and the switch OFF means that the gate is closed. But, there is no indicator that the switch right now is ON or OFF. Now, every prisoner is given a chance to go to the switch and open the gate of the room in which he is staying.
As, they were planning the break and no one in prison trusts anyone else. So, they wanted to come up with a solution through which they can be sure that no one will cheat and some of them will be able to break the prison. So, they decide that, every prisoner, when goes to the switch room will change the status of the switch of all the rooms whose numbers are multiple of the room number in which he is staying. ie, A prisoner in room no. 2 will change the status of switch of all rooms having numbers: 2,4,6,8....
Now, there are total 1000 rooms available. And, every prisoner will do the same thing. We, here have to find out that who all will succeed in breaking the prison and who all will not.

The question is merely about logic. The more you will think, the nearer you will reach to the answer. So, try to solve it on your own. There are many versions of this puzzle available on the Internet. So, it is better if you try to solve it on your own. All the best LLs. Don't forget to comment your answers below this post.

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