\(P, Q, R, S, T, U\) are positive integers, such that \(\dfrac{S}{P}+\dfrac{T}{Q}=\dfrac{U}{R}.\) Is \(P\) odd?

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\(P, Q, R, S, T, U\) are positive integers, such that \(\dfrac{S}{P}+\dfrac{T}{Q}=\dfrac{U}{R}.\) Is \(P\) odd?

(1) \(Q\) and \(R\) are odd.
(2) \(S\) is odd.

Answer: C

Source: Manhattan GMAT