{"status": "success", "data": {"description_md": "If $3 \\leq p \\leq 10$ and $12 \\leq q \\leq 21$, then the difference between the largest and smallest possible values of $\\dfrac{p}{q}$ is\n\n$\\text{(A)}\\ \\frac{29}{42}\\qquad\\text{(B)}\\ \\frac{29}{5}\\qquad\\text{(C)}\\ \\frac{19}{70}\\qquad\\text{(D)}\\ \\frac{19}{12}\\qquad\\text{(E)}\\ \\frac{19}{84}$\n\n___\n\n**[Pascal](https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf), by [CEMC](https://cemc.uwaterloo.ca/), is licensed under the [CC BY-NC 3.0 DEED](https://creativecommons.org/licenses/by-nc/3.0/). They are not affiliated with or endorse TopsOJ in any way.**\n", "description_html": "<p>If <span class=\"katex--inline\">3 \\leq p \\leq 10</span> and <span class=\"katex--inline\">12 \\leq q \\leq 21</span>, then the difference between the largest and smallest possible values of <span class=\"katex--inline\">\\dfrac{p}{q}</span> is</p>\n<p><span class=\"katex--inline\">\\text{(A)}\\ \\frac{29}{42}\\qquad\\text{(B)}\\ \\frac{29}{5}\\qquad\\text{(C)}\\ \\frac{19}{70}\\qquad\\text{(D)}\\ \\frac{19}{12}\\qquad\\text{(E)}\\ \\frac{19}{84}</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Pascal</a>, by <a href=\"https://cemc.uwaterloo.ca/\">CEMC</a>, is licensed under the <a href=\"https://creativecommons.org/licenses/by-nc/3.0/\">CC BY-NC 3.0 DEED</a>. They are not affiliated with or endorse TopsOJ in any way.</strong></p>\n", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2008 Pascal Problem 21", "can_next": true, "can_prev": true, "nxt": "/problem/08_pascal_p22", "prev": "/problem/08_pascal_p20"}}