{"status": "success", "data": {"description_md": "Call a positive integer an uphill integer if every digit is strictly greater than the previous digit. For example, $1357$, $89$, and $5$ are all uphill integers, but $32$, $1240$, and $466$ are not. How many uphill integers are divisible by $15$?\n\n$\\textbf{(A)} ~4 \\qquad\\textbf{(B)} ~5 \\qquad\\textbf{(C)} ~6 \\qquad\\textbf{(D)} ~7 \\qquad\\textbf{(E)} ~8$", "description_html": "<p>Call a positive integer an uphill integer if every digit is strictly greater than the previous digit. For example,  <span class=\"katex--inline\">1357</span> ,  <span class=\"katex--inline\">89</span> , and  <span class=\"katex--inline\">5</span>  are all uphill integers, but  <span class=\"katex--inline\">32</span> ,  <span class=\"katex--inline\">1240</span> , and  <span class=\"katex--inline\">466</span>  are not. How many uphill integers are divisible by  <span class=\"katex--inline\">15</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)} ~4 \\qquad\\textbf{(B)} ~5 \\qquad\\textbf{(C)} ~6 \\qquad\\textbf{(D)} ~7 \\qquad\\textbf{(E)} ~8</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": "2021 AMC 10B Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/21_amc10B_p17", "prev": "/problem/21_amc10B_p15"}}