If \(a, b, c\) and \(d\) are positive integers and \(\dfrac{a}{b} < \dfrac{c}{d},\) which of the following must be true?
I. \(\dfrac{a+c}{b+d} < \dfrac{c}{d}\)
II. \(\dfrac{a+c}{b+d} < \dfrac{a}{b}\)
III. \(\dfrac{a+c}{b+d} = \dfrac{a}{b} + \dfrac{c}{d}\)
A. None
B. I only
C. II only
D. I and II
E. I and III
Answer: B
Source: GMAT Prep
If \(a, b, c\) and \(d\) are positive integers and \(\dfrac{a}{b} < \dfrac{c}{d},\) which of the following must be true?
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