{"status": "success", "data": {"description_md": "In the multiplication shown, $P$ and $Q$ each represent a single digit, and the product is $32\\,951$. What is the value of $P + Q$?\n\n$$\\begin{array}{r} 3\\;9\\;P \\\\ \\times\\quad Q\\;3 \\\\ \\hline 3\\;2\\;9\\;5\\;1 \\end{array}$$\n\n$\\text{(A)}\\ 14\\qquad\\text{(B)}\\ 12\\qquad\\text{(C)}\\ 15\\qquad\\text{(D)}\\ 13\\qquad\\text{(E)}\\ 11$\n\n___\n\n**[Cayley](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>In the multiplication shown, <span class=\"katex--inline\">P</span> and <span class=\"katex--inline\">Q</span> each represent a single digit, and the product is <span class=\"katex--inline\">32\\,951</span>. What is the value of <span class=\"katex--inline\">P + Q</span>?</p>\n<p><span class=\"katex--display\">\\begin{array}{r} 3\\;9\\;P \\\\ \\times\\quad Q\\;3 \\\\ \\hline 3\\;2\\;9\\;5\\;1 \\end{array}</span></p>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 14\\qquad\\text{(B)}\\ 12\\qquad\\text{(C)}\\ 15\\qquad\\text{(D)}\\ 13\\qquad\\text{(E)}\\ 11</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Cayley</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": 1, "problem_name": "2006 Cayley Problem 15", "can_next": true, "can_prev": true, "nxt": "/problem/06_cayley_p16", "prev": "/problem/06_cayley_p14"}}