{"status": "success", "data": {"description_md": "Let $n$ be a positive integer such that $\\frac{1}{2}+\\frac{1}{3}+\\frac{1}{7}+\\frac{1}{n}$ is an integer. Which of the following statements is $\\textbf{not}$ true?\n\n$\\mathrm{(A) \\ } 2\\text{ divides }n\\qquad \\mathrm{(B) \\ } 3\\text{ divides }n\\qquad \\mathrm{(C) \\ } 6\\text{ divides }n\\qquad \\mathrm{(D) \\ } 7\\text{ divides }n\\qquad \\mathrm{(E) \\ } n>84$", "description_html": "<p>Let <span class=\"katex--inline\">n</span> be a positive integer such that <span class=\"katex--inline\">\\frac{1}{2}+\\frac{1}{3}+\\frac{1}{7}+\\frac{1}{n}</span> is an integer. Which of the following statements is <span class=\"katex--inline\">\\textbf{not}</span> true?</p>&#10;<p><span class=\"katex--inline\">\\mathrm{(A) \\ } 2\\text{ divides }n\\qquad \\mathrm{(B) \\ } 3\\text{ divides }n\\qquad \\mathrm{(C) \\ } 6\\text{ divides }n\\qquad \\mathrm{(D) \\ } 7\\text{ divides }n\\qquad \\mathrm{(E) \\ } n&gt;84</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "2002 AMC 10B Problem 7", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc10B_p08", "prev": "/problem/02_amc10B_p06"}}