Height investigation

Algebra Level 2

There are 500 different students with different heights who are arranged in an array of 10 rows and 50 columns according to their respective heights.

Now, the tallest from each row is called out and the shortest one of them is marked as S. They are asked to go back to their respective position.

Then, the shortest from each column is called out and the tallest one among them is marked as T.

Can you find out who between S and T is taller?

S is taller T is taller I don't know Same Height

Jaber Al-arbash by Jaber Al-arbash , 28, USA

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2 solutions

Saksham Jain
Nov 10, 2017

Actually they are same person. Shortest of longest of each row is same as longest of shortest of each column. Try making a table to understand it quickly

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Jaber Al-arbash
Nov 10, 2017

Suppose that each person is marked with their respective number which also denotes their height. Now when the longest from each row is called out, they will be 50, 100, 150 ... 500. Shortest among them will be 50 aka S. When the shortest from each colum is called out, they will be 1, 2, 3, ....50. Longest among them will be 50 aka T.

Thus, they both are same person

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