{"status": "success", "data": {"description_md": "Suppose that\n\n$$\\frac{2x}{3}-\\frac{x}{6}$$<br>is an integer. Which of the following statements must be true about $x$?\n\n$\\mathrm{(A)}\\ \\text{It is negative.}\\qquad\\mathrm{(B)}\\ \\text{It is even, but not necessarily a multiple of 3.}\\qquad\\mathrm{(C)}\\ \\text{It is a multiple of 3, but not necessarily even.}\\qquad\\mathrm{(D)}\\ \\text{It is a multiple of 6, but not necessarily a multiple of 12.}\\qquad\\mathrm{(E)}\\ \\text{It is a multiple of 12.}$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Suppose that</p>&#10;<p><span class=\"katex--display\">\\frac{2x}{3}-\\frac{x}{6}</span><br/>is an integer. Which of the following statements must be true about <span class=\"katex--inline\">x</span>?</p>&#10;<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>&#10;<hr/>&#10;<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>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2008 AMC 12A Problem 5", "can_next": true, "can_prev": true, "nxt": "/problem/08_amc12A_p06", "prev": "/problem/08_amc12A_p04"}}