500 women soldiers are arranged in an array of ten rows and fifty columns in accordance with their respective heights. Now, the tallest woman from each row is asked to move out in the front. From them, the shortest one is labelled as Alpha. They are then asked to resume their original position.
Now, the shortest woman in each column is asked to come out in front. The tallest among them is labelled as Beta.
How many points are there on the globe where, by walking one mile south, then one mile east and then one mile north, you would reach the place where you started?
How many people must be gathered together in a room, before you can be certain that there is a greater than 50/50 chance that at least two of them have the same birthday?