{"status": "success", "data": {"description_md": "How many three-digit positive integers $N$ satisfy the following properties?\n* The number $N$ is divisible by $7$.\n* The number formed by reversing the digits of $N$ is divisible by $5$.\n\n$\\textbf{(A) } 13 \\qquad \\textbf{(B) } 14 \\qquad \\textbf{(C) } 15 \\qquad \\textbf{(D) } 16 \\qquad \\textbf{(E) } 17$", "description_html": "<p>How many three-digit positive integers  <span class=\"katex--inline\">N</span>  satisfy the following properties?</p>\n<ul>\n<li>The number  <span class=\"katex--inline\">N</span>  is divisible by  <span class=\"katex--inline\">7</span> .</li>\n<li>The number formed by reversing the digits of  <span class=\"katex--inline\">N</span>  is divisible by  <span class=\"katex--inline\">5</span> .</li>\n</ul>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 13 \\qquad \\textbf{(B) } 14 \\qquad \\textbf{(C) } 15 \\qquad \\textbf{(D) } 16 \\qquad \\textbf{(E) } 17</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": 3, "problem_name": "2023 AMC 10A Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/23_amc10A_p13", "prev": "/problem/23_amc10A_p11"}}