{"status": "success", "data": {"description_md": "A number is chosen at random from among the first $100$ positive integers, and a positive integer divisor of that number is then chosen at random. What is the probability that the chosen divisor is divisible by $11$?\n\n$\\textbf{(A)}~\\frac{4}{100}\\qquad\\textbf{(B)}~\\frac{9}{200} \\qquad \\textbf{(C)}~\\frac{1}{20} \\qquad\\textbf{(D)}~\\frac{11}{200}\\qquad\\textbf{(E)}~\\frac{3}{50}$", "description_html": "<p>A number is chosen at random from among the first  <span class=\"katex--inline\">100</span>  positive integers, and a positive integer divisor of that number is then chosen at random. What is the probability that the chosen divisor is divisible by  <span class=\"katex--inline\">11</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}~\\frac{4}{100}\\qquad\\textbf{(B)}~\\frac{9}{200} \\qquad \\textbf{(C)}~\\frac{1}{20} \\qquad\\textbf{(D)}~\\frac{11}{200}\\qquad\\textbf{(E)}~\\frac{3}{50}</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 14", "can_next": true, "can_prev": true, "nxt": "/problem/23_amc10A_p15", "prev": "/problem/23_amc10A_p13"}}