A runner timed himself and found out that if he wore a white outfit he ran 10 miles in 70 minutes, but when he wore a black outfit, he ran 10 miles in one hour and ten minutes. What does this mean for his next race?
N persons are standing in a circle labelled from 1 to N in clockwise order. Every one of them is holding a gun and can shoot a person on his left. Starting from person 1, they starts shooting in order e.g for N=50, person 1 shoots person 2, then person 3 shoots person 4, then person 5 shoots person 6……..then person 49 shoots person 50, then person 1 shoots person 3, then person 5 shoots person 7……and it continues till all are dead except one. What is the index of that last person?
There is a bus with 50 labelled seats from 1 to 50. There are also 50 persons labelled from 1 to 50 standing in a queue.
People board on the bus in sequence from 1 to n. The rule is, if a person ‘i’ boards the bus, he checks if seat ‘i’ is empty. If it is empty, he sits there, else he randomly picks an empty seat and sits there. Given that 1st person picks seat randomly, find the probability that 50th person sits on his place i.e. 50th seat.