{"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$\\mathrm{(A)}\\ \\text{It is negative.}$\n$\\mathrm{(B)}\\ \\text{It is even, but not necessarily a multiple of 3.}$\n$\\mathrm{(C)}\\ \\text{It is a multiple of 3, but not necessarily even.}$\n$\\mathrm{(D)}\\ \\text{It is a multiple of 6, but not necessarily a multiple of 12.}$\n$\\mathrm{(E)}\\ \\text{It is a multiple of 12.}$", "description_html": "

Suppose that
\\frac{2x}{3}-\\frac{x}{6}
is an integer. Which of the following statements must be true about x?

\\mathrm{(A)}\\ \\text{It is negative.}
\\mathrm{(B)}\\ \\text{It is even, but not necessarily a multiple of 3.}
\\mathrm{(C)}\\ \\text{It is a multiple of 3, but not necessarily even.}
\\mathrm{(D)}\\ \\text{It is a multiple of 6, but not necessarily a multiple of 12.}
\\mathrm{(E)}\\ \\text{It is a multiple of 12.}

", "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"}}