If \(w, x, y,\) and \(z\) are positive integers and \(\dfrac{w}{x}<\dfrac{y}{z}<1,\) what is the proper order, increasin

If \(w, x, y,\) and \(z\) are positive integers and \(\dfrac{w}{x}<\dfrac{y}{z}<1,\) what is the proper order, increasing from left to right, of the following quantities: \(\dfrac{x}{w}, \dfrac{z}{y}, \dfrac{x^2}{w^2}, \dfrac{xz}{wy}, \dfrac{x+z}{w+y}, 1?\)


(A) \(1, \dfrac{z}{y}, \dfrac{x}{w}, \dfrac{x+z}{w+y}, \dfrac{x^2}{w^2}, \dfrac{xz}{wy}\)

(B) \(1, \dfrac{z}{y}, \dfrac{x+z}{w+y}, \dfrac{x}{w}, \dfrac{xz}{wy}, \dfrac{x^2}{w^2}\)

(C) \(1, \dfrac{z}{y}, \dfrac{x}{w}, \dfrac{x+z}{w+y}, \dfrac{xz}{wy}, \dfrac{x^2}{w^2}\)

(D) \(1, \dfrac{z}{y}, \dfrac{x}{w}, \dfrac{xz}{wy}, \dfrac{x+z}{w+y}, \dfrac{x^2}{w^2}\)

(E) \(1, \dfrac{z}{y}, \dfrac{x+z}{w+y}, \dfrac{xz}{wy}, \dfrac{x^2}{w^2}, \dfrac{x}{w}\)

Answer: B

Source: Manhattan GMAT