Suppose 1 ≤ x, y, z ≤ 9 are integers such that x > z. Let α and β be the three-digit numbers given by α = xyz and β = zyx so that x, y, z are the digits as they are shown. Set γ = α − β. How many of the following statements are always true? I. 2 does not divide γ. II. 3 divides γ. III. 5 does not divide γ. IV. 7 does not divide γ. V. 11 divides γ. VI. 13 does not divide γ. Select the correct answer.
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