You may solve the simple probability, “Given a set of n randomly chosen people, what is the probability of two people having same birthday?” You may also solve, “At least how many people need to be picked to make the probability 100% that at least two of them have same birthday?” Answer to the second question is […]

A person rides a cycle at a constant speed. When he drives in the direction of the wind, he is able to go 35 km in 5 hrs. While returning, when the wind was against the direction of his driving, he took 7hrs for the same distance. At what speed does he rides when there is no wind?

There are 50 bikes, each with a tank that has the capacity to go 100 kms (when the fuel is full). Fuel tanks of all the bikes are full. Using these 50 bikes, what is the maximum distance that you can go?

Earlier we discussed, how to calculate total number of squares (of all sizes) on the chess board. Here, the problem is, How many rectangles (of any size) will be there on the chess board?

At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were there at the party?