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Algebra Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Two numbers pp and qq are such that 0<p<q<10 < p < q < 1. Which is the largest of these expressions?

(A) qpq - p (B) pqp - q (C) p+q2\dfrac{p+q}{2} (D) pq\dfrac{p}{q} (E) qp\dfrac{q}{p}

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