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If the positive integer \(b\) is \(5\%\) greater than the positive integer \(a,\) which of the following expressions must be equal to an integer?
I. \(\dfrac{b}3\)
II. \(\dfrac{b}5\)
III. \(\dfrac{b}7\)
A. None
B. II only
C. I and II only
D. I and III only
E. II and III only
Answer: D
Source: Manhattan GMAT
I. \(\dfrac{b}3\)
II. \(\dfrac{b}5\)
III. \(\dfrac{b}7\)
A. None
B. II only
C. I and II only
D. I and III only
E. II and III only
Answer: D
Source: Manhattan GMAT
