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UKMT Junior Mathematical Challenge, 2023

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

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

(A) $q - p$ (B) $p - q$ (C) $\dfrac{p+q}{2}$ (D) $\dfrac{p}{q}$ (E) $\dfrac{q}{p}$

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