A bank customer had $100 in his account. He then made 6 withdrawals. He kept a record of these withdrawals, and the balance remaining in the account, as follows:
A murder has been committed in a house. You are a detective and have to find out the murderer.
You investigate by asking three questions to each of the six suspects. Out of those six suspects, four are liars. It is not necessary that they speak everything a lie. But in their answers, there must be at least one lie. One of the six is the murderer.
There are eight rooms in the house in which the murder has been committed: Kitchen, Living Room, Bathroom, Garage, Basement, 3 Bedrooms.
At the time of the murder, only the murderer was present in the killing room. Any number of people can be present in any of the other rooms at the same time.
Can you identify the murderer and the four liars? Also, can you find out who was in which room?
The responses of all the suspects are mentioned below.
Joseph:
Peter was in the 2nd bedroom.
So was I.
David was in the bathroom.
Mandy:
I agree with Joseph that David was in the bathroom and Peter was in the 2nd bedroom.
But I think that Joseph was in the living room, OH MY GOD!
Peter:
Mandy was in the kitchen with Christopher.
But I was in the bathroom.
David:
I still say Peter was in the 2nd bedroom and Jennifer was in the bathroom.
Joseph was in the 1st bedroom.
Jennifer:
Peter was in the bathroom with Christopher.
And Mandy was in the kitchen.
Christopher:
David was in the kitchen.
And I was in the 2nd bedroom with Peter.
100 prisoners are stuck in the prison in solitary cells. The warden of the prison got bored one day and offered them a challenge. He will put one prisoner per day, selected at random (a prisoner can be selected more than once), into a special room with a light bulb and a switch which controls the bulb. No other prisoners can see or control the light bulb. The prisoner in the special room can either turn on the bulb, turn off the bulb or do nothing. On any day, the prisoners can stop this process and say "Every prisoner has been in the special room at least once". If that happens to be true, all the prisoners will be set free. If it is false, then all the prisoners will be executed. The prisoners are given some time to discuss and figure out a solution. How do they ensure they all go free?
On rolling two dices (six-sided normal dice) together, what is the probability that the first one comes up with a 2 and the second one comes up with a 5?
