{"status": "success", "data": {"description_md": "Hexadecimal (base-16) numbers are written using numeric digits $0$ through $9$ as well as the letters $A$ through $F$ to represent $10$ through $15$. Among the first $1000$ positive integers, there are $n$ whose hexadecimal representation contains only numeric digits. What is the sum of the digits of $n$?\n\n$\\textbf{(A) }17\\qquad\\textbf{(B) }18\\qquad\\textbf{(C) }19\\qquad\\textbf{(D) }20\\qquad\\textbf{(E) }21$", "description_html": "<p>Hexadecimal (base-16) numbers are written using numeric digits  <span class=\"katex--inline\">0</span>  through  <span class=\"katex--inline\">9</span>  as well as the letters  <span class=\"katex--inline\">A</span>  through  <span class=\"katex--inline\">F</span>  to represent  <span class=\"katex--inline\">10</span>  through  <span class=\"katex--inline\">15</span> . Among the first  <span class=\"katex--inline\">1000</span>  positive integers, there are  <span class=\"katex--inline\">n</span>  whose hexadecimal representation contains only numeric digits. What is the sum of the digits of  <span class=\"katex--inline\">n</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) }17\\qquad\\textbf{(B) }18\\qquad\\textbf{(C) }19\\qquad\\textbf{(D) }20\\qquad\\textbf{(E) }21</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": "2015 AMC 10A Problem 18", "can_next": true, "can_prev": true, "nxt": "/problem/15_amc10A_p19", "prev": "/problem/15_amc10A_p17"}}