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Practice QuestionsNumber Theory

Number Theory

If x is an integer greater than 1 and if y = x + 1/x, which of the following must be true?

I. yx
II. y is an integer
III. xy > x2

(A) I only
(B) III only
(C) I and II only
(D) I and III only
(E) I, II, and III

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