Can you find out if Alpha will be taller or Beta?

Question

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.

Can you find out if Alpha will be taller or Beta?

Answer 1

Alpha and Beta are the same woman.

Let us begin by making the assumption that the numbers represent the height of the women.

Now, the tallest among 1, 2, 3, 4 etc. will be 50 or Alpha.
The shortest among 50, 100, ... , 500 will be 50 or Beta.

Therefore, they both are the same woman.