A room is \(480\) centimeters wide and \(520\) centimeters long. If \(n\) identical square tiles are arranged in a grid

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A room is \(480\) centimeters wide and \(520\) centimeters long. If \(n\) identical square tiles are arranged in a grid pattern so as to cover the entire floor of the room, what is the value of \(n?\)

(1) A whole number of tiles fit exactly along the length and width of the room, and no tiles had to be cut in order to cover the entire floor.
(2) \(12\) tiles placed adjacent to one another span the width of the room.

Answer: B

Source: Manhattan GMAT
Source: — Data Sufficiency |