GeminiHeat wrote:
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. b/3
II. b/5
III. b/7
A. None
B. II only
C. I and II only
D. I and III only
E. II and III only
\(b = 1.05a = \frac{105}{100}a = \frac{21}{20}a\)
If \(a\) and \(b\) are to be integers, then \(a\) must be a factor of \(20\)
i.e. \(a = 20, 40, 60, ....\)
Therefore, \(b\) must be a factor of \(21 = (3)(7)\)
Hence, option D