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If \(x\) is the smallest positive integer that is divisible by each of the integers from \(24\) to \(27\) inclusive, which of the following statements must be true?
I) \(x>3200\)
II) \(x\) is a multiple of \(90\)
III) \(500\) is a factor of \(x\)
A) I only
B) II only
C) I and II
D) II and III
E) I, II, III
[spoiler]OA=C[/spoiler]
Source: Manhattan GMAT
I) \(x>3200\)
II) \(x\) is a multiple of \(90\)
III) \(500\) is a factor of \(x\)
A) I only
B) II only
C) I and II
D) II and III
E) I, II, III
[spoiler]OA=C[/spoiler]
Source: Manhattan GMAT
