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.
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A man has to get a fox, a chicken, and a sack of corn across a river.
He has a rowboat, and it can only carry him and one other thing.
If the fox and the chicken are left together, the fox will eat the chicken.
If the chicken and the corn are left together, the chicken will eat the corn.
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John and Jenni are a married couple. They have two kids, one of them is a girl. Assume safely that the probability of each gender is 1/2.
What is the probability that the other kid is also a girl?