If \(a, b,\) and \(c\) are consecutive odd positive integers and \(a<b<c,\) which of the following must be true?

[VJesus12]

If \(a, b,\) and \(c\) are consecutive odd positive integers and \(a<b<c,\) which of the following must be true?

I. at least one of the three numbers is prime
II. \(ab>c\)
III. \(a + b + c = 3b\)

A. III only
B. I and II only
C. I and III only
D. II and III only
E. I, II, and III

Answer: A

Source: Veritas Prep