{"status": "success", "data": {"description_md": "Suppose that\n$$\\frac{2x}{3}-\\frac{x}{6}$$\nis an integer. Which of the following statements must be true about $x$?\n\n$\\mathrm{(A)}\\ \\text{It is negative.}\\\\\\qquad\\mathrm{(B)}\\ \\text{It is even, but not necessarily a multiple of 3.}\\\\\\qquad\\mathrm{(C)}\\ \\text{It is a multiple of 3, but not necessarily even.}\\\\\\qquad\\mathrm{(D)}\\ \\text{It is a multiple of 6, but not necessarily a multiple of 12.}\\\\\\qquad\\mathrm{(E)}\\ \\text{It is a multiple of 12.}$", "description_html": "<p>Suppose that<br/>\n <span class=\"katex--display\">\\frac{2x}{3}-\\frac{x}{6}</span> <br/>\nis an integer. Which of the following statements must be true about  <span class=\"katex--inline\">x</span> ?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ \\text{It is negative.}\\\\\\qquad\\mathrm{(B)}\\ \\text{It is even, but not necessarily a multiple of 3.}\\\\\\qquad\\mathrm{(C)}\\ \\text{It is a multiple of 3, but not necessarily even.}\\\\\\qquad\\mathrm{(D)}\\ \\text{It is a multiple of 6, but not necessarily a multiple of 12.}\\\\\\qquad\\mathrm{(E)}\\ \\text{It is a multiple of 12.}</span> </p>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "2008 AMC 10A Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/08_amc10A_p10", "prev": "/problem/08_amc10A_p08"}}