2023 AMC 12B Problems/Problem 15

Problem

Suppose that and are positive integers such that Which of the following statements are necessarily true?

$\textbf{(A) }\textf{I, II, and III}\qquad\textbf{(B) }I only\qquad\textbf{(C) }I and II only\qquad\textbf{(D) }III only\qquad\textbf{(E) }II and III only$ (Error compiling LaTeX. Unknown error_msg)