{"status": "success", "data": {"description_md": "Consider the set of numbers $\\{1, 10, 10^2, 10^3, \\ldots, 10^{10}\\}$. The ratio of the largest element of the set to the sum of the other ten elements of the set is closest to which integer?\n\n$\\textbf{(A)}\\ 1 \\qquad\\textbf{(B)}\\ 9 \\qquad\\textbf{(C)}\\ 10 \\qquad\\textbf{(D)}\\ 11 \\qquad\\textbf{(E)} 101$", "description_html": "<p>Consider the set of numbers  <span class=\"katex--inline\">\\{1, 10, 10^2, 10^3, \\ldots, 10^{10}\\}</span> . The ratio of the largest element of the set to the sum of the other ten elements of the set is closest to which integer?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 1 \\qquad\\textbf{(B)}\\ 9 \\qquad\\textbf{(C)}\\ 10 \\qquad\\textbf{(D)}\\ 11 \\qquad\\textbf{(E)} 101</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": "2011 AMC 10B Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/11_amc10B_p11", "prev": "/problem/11_amc10B_p09"}}