Set \(A\) consists of the four integers \(x, x^2, x^3,\) and \(x^4,\) and set \(B\) consists of the four integers

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Set \(A\) consists of the four integers \(x, x^2, x^3,\) and \(x^4,\) and set \(B\) consists of the four integers \(x, 2x, 3x,\) and \(4x.\) What is the probability that a randomly selected integer from \(1\) to \(100,\) inclusive, is a member of neither set \(A\) nor set \(B?\)

(1) \(x > 5\)
(2) \(x < 10\)

Answer: C

Source: Manhattan GMAT
Source: — Data Sufficiency |