If n = 2×3×5×7×11×13×16, 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	Choose the correct choice from the following answers:	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 true.   Statement 2 this is NOT true.   Statement 3: (n+4)/2 = n/2 + 2, So this is true.   Hence option (I and III).
<result>D</result>
If n = 2×3×5×7×11×13×16, 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