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If \(n = 2\times 3\times 5\times 7\times 11\times 13\times 17,\) then which of the following statements must be true?
I. \(n^2\) is divisible by 600.
II. \(n + 19\) is divisible by 19.
III. \(\dfrac{n + 4}2\) is even.
A. I only
B. II only
C. III only
D. I and III
E. None of the above
Answer: E
Source: Magoosh
I. \(n^2\) is divisible by 600.
II. \(n + 19\) is divisible by 19.
III. \(\dfrac{n + 4}2\) is even.
A. I only
B. II only
C. III only
D. I and III
E. None of the above
Answer: E
Source: Magoosh
