If n = 2×3×5×7×11×13×19, then which of the following statements must be true?
I. n^2 is divisible by 600
II. n + 19 is divisible by 19
III. (n + 4)/2 is even	Select the correct option.
A) I only  B) II only  C) III only  D) I and III  E) None of the above
Statement I: 600 = (2^3)*(3)*(5^2) this is NOT true.   Statement 2 Since n is divisible by 19 so n+19 is also divisible by 19. So this is true.   Statement 3: (n+4)/2 = n/2 + 2   So, ODD + 2 cannot be even.   So this is NOT true.   Hence option (II only).
<result>B</result>
If n = 2×3×5×7×11×13×19, then which of the following statements must be true?
I. n^2 is divisible by 600
II. n + 19 is divisible by 19
III. (n + 4)/2 is even