{"status": "success", "data": {"description_md": "Ms. Carroll promised that anyone who got all the multiple choice questions right on the upcoming exam would receive an A on the exam. Which one of these statements necessarily follows logically?\n\n$\\textbf{(A)}\\ \\text{ If Lewis did not receive an A, then he got all of the multiple choice questions wrong.}$<br>$\\textbf{(B)}\\ \\text{ If Lewis did not receive an A, then he got at least one of the multiple choice questions wrong.}$<br>$\\textbf{(C)}\\ \\text{ If Lewis got at least one of the multiple choice questions wrong, then he did not receive an A.}$<br> $\\textbf{(D)}\\ \\text{ If Lewis received an A, then he got all of the multiple choice questions right.}$<br> $\\textbf{(E)}\\ \\text{ If Lewis received an A, then he got at least one of the multiple choice questions right.}$\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>Ms. Carroll promised that anyone who got all the multiple choice questions right on the upcoming exam would receive an A on the exam. Which one of these statements necessarily follows logically?</p>&#10;<p><span class=\"katex--inline\">\\textbf{(A)}\\ \\text{ If Lewis did not receive an A, then he got all of the multiple choice questions wrong.}</span><br/><span class=\"katex--inline\">\\textbf{(B)}\\ \\text{ If Lewis did not receive an A, then he got at least one of the multiple choice questions wrong.}</span><br/><span class=\"katex--inline\">\\textbf{(C)}\\ \\text{ If Lewis got at least one of the multiple choice questions wrong, then he did not receive an A.}</span><br/> <span class=\"katex--inline\">\\textbf{(D)}\\ \\text{ If Lewis received an A, then he got all of the multiple choice questions right.}</span><br/> <span class=\"katex--inline\">\\textbf{(E)}\\ \\text{ If Lewis received an A, then he got at least one of the multiple choice questions right.}</span></p>&#10;<hr/>&#10;<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>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2017 AMC 12A Problem 3", "can_next": true, "can_prev": true, "nxt": "/problem/17_amc12A_p04", "prev": "/problem/17_amc12A_p02"}}