A device calculates the worth of gemstones based on quality such that a gem with a quality rating of \(q - 1\) is worth

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A device calculates the worth of gemstones based on quality such that a gem with a quality rating of \(q - 1\) is worth 5 times more than a gem with a quality rating of \(q.\) According to this device, the worth of a gem with a quality rating of \(p - r\) is how many times greater than that of a gem with a rating of \(p?\)

(A) \(p^5-r^5\)
(B) \(r^5\)
(C) \((p-r)^5\)
(D) \(5^{p-r}\)
(E) \(5r\)

Answer: E

Source: Princeton Review
Source: — Problem Solving |