{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"math","formal_name":"MATH","introduction":"MATH organises 12,500 high-school competition problems into seven subjects and five difficulty levels, each with a full worked solution. It underlies much of the later mathematics evaluation work; this catalogue imports the full test split: 5,000 problems across all seven subjects.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://github.com/hendrycks/math","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"4ec4c7ba-9c23-5f8d-9e2a-82a230e6c6fc","task_key":"number~5ftheory--test--4ec4c7ba-9c23-5f8d-9e2a-82a230e6c6fc","task_revision_id":"1","upstream_id":"","short_description":"Let $a$ be a factor of $b,$ and let $b$ and $c$ be divisors of $60$ such that…","config":"number_theory","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Let $a$ be a factor of $b,$ and let $b$ and $c$ be divisors of $60$ such that $a<b<c<60.$ Which of the following statements is/are false? List the letters in alphabetical order with commas separating the letters.\\n\\n$\\\\bullet$ A.) $a$ must be a divisor of $60.$\\n\\n$\\\\bullet$ B.) $60$ must be a multiple of $b.$\\n\\n$\\\\bullet$ C.) $b$ must be a factor of $c.$\\n\\n$\\\\bullet$ D.) $a$ cannot be $20.$\\n\\n$\\\\bullet$ E.) It is possible for $b$ to be negative.\",\"type\":\"Number Theory\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}