{"id":"aqua_rat:73ec2618c1896ffcc0af44efbd98ae89","source_id":"aqua_rat","source_item_id":"73ec2618c1896ffcc0af44efbd98ae89","external_id":null,"program":null,"section":"math","category_code":"PHM","category":"Preparing for Higher Math","subcategory_code":null,"subcategory":null,"form_id":null,"passage_id":null,"position":null,"scored":true,"layout_warning":null,"stem":"In your study are displayed your 5 favourite puzzle books. If you decide to arrange the five books in every possible combination and moved just one book every minute, how long would it take you ?","stimulus":"","stimulus_html":null,"stem_html":"<p>In your study are displayed your 5 favourite puzzle books. If you decide to arrange the five books in every possible combination and moved just one book every minute, how long would it take you ?</p>","rationale_html":"<p>Possible arrangements are 5*4*3*2*1= 120</p><p>For making a new arrangement , two books are required to be moved.</p><p>so total 120*2=240 mins which will take 240 min or 4 hours.</p><p>D</p>","correct_answer":["D"],"equiv_key":"ecfaa460a3dd719299374163","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>1 hour</p>","ord":0},{"label":"B","content_html":"<p>2 hours</p>","ord":1},{"label":"C","content_html":"<p>3 hours</p>","ord":2},{"label":"D","content_html":"<p>4 hours</p>","ord":3},{"label":"E","content_html":"<p>5 hours</p>","ord":4}],"passage":null,"attribution":{"source_id":"aqua_rat","source_name":"AQuA-RAT algebra word problems with rationales","rights_holder":"Google DeepMind and the AQuA-RAT contributors","canonical_url":"https://github.com/google-deepmind/AQuA","retrieved_from":"https://raw.githubusercontent.com/google-deepmind/AQuA/master/","attribution":"Algebra word problems from the AQuA-RAT dataset (Ling et al., 2017), published by Google DeepMind under the Apache License 2.0.","disclaimer":"AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.","license":"Apache License 2.0. Crowdsourced by DeepMind and published for free use, including commercially.","redistributable":true,"item_count":508},"equivalents":[]}