If n = 2×3×5×7×11×13×18, 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
A) I only
B) II only
C) III only
D) I and III
E) None of the above
Statement I: 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 = 2×3×5×7×11×13×18, 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