{"status": "success", "data": {"description_md": "Josh writes the numbers $1,2,3,\\ldots,99,100$. He marks out $1$, skips the next number $(2)$, marks out $3$, and continues skipping and marking out the next number to the end of the list. Then he goes back to the start of his list, marks out the first remaining number $(2)$, skips the next number $(4)$, marks out $6$, skips $8$, marks out $10$, and so on to the end. Josh continues in this manner until only one number remains. What is that number?\n\n$\\textbf{(A)}\\ 13 \\qquad<br>\\textbf{(B)}\\ 32 \\qquad<br>\\textbf{(C)}\\ 56 \\qquad<br>\\textbf{(D)}\\ 64 \\qquad<br>\\textbf{(E)}\\ 96$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Josh writes the numbers  <span class=\"katex--inline\">1,2,3,\\ldots,99,100</span> . He marks out  <span class=\"katex--inline\">1</span> , skips the next number  <span class=\"katex--inline\">(2)</span> , marks out  <span class=\"katex--inline\">3</span> , and continues skipping and marking out the next number to the end of the list. Then he goes back to the start of his list, marks out the first remaining number  <span class=\"katex--inline\">(2)</span> , skips the next number  <span class=\"katex--inline\">(4)</span> , marks out  <span class=\"katex--inline\">6</span> , skips  <span class=\"katex--inline\">8</span> , marks out  <span class=\"katex--inline\">10</span> , and so on to the end. Josh continues in this manner until only one number remains. What is that number?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 13 \\qquad\\textbf{(B)}\\ 32 \\qquad\\textbf{(C)}\\ 56 \\qquad\\textbf{(D)}\\ 64 \\qquad\\textbf{(E)}\\ 96</span> </p>&#10;<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": 2, "problem_name": "2016 AMC 12B Problem 7", "can_next": true, "can_prev": true, "nxt": "/problem/16_amc12B_p08", "prev": "/problem/16_amc12B_p06"}}