{"id":"aqua_rat:7ba99af5a2427696649e9e485e32b6f1","source_id":"aqua_rat","source_item_id":"7ba99af5a2427696649e9e485e32b6f1","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":"there are more than 501 students in a school such that 20% of them exactly took physics and 28% of them exactly took math. What could be the least possible no of students in the school?","stimulus":"","stimulus_html":null,"stem_html":"<p>there are more than 501 students in a school such that 20% of them exactly took physics and 28% of them exactly took math. What could be the least possible no of students in the school?</p>","rationale_html":"<p>20% means 1/5 and 28% means 7/25,taking the lcm of the denominators 5 and 25 we get 25,the least multiple of 25 which is greater than 501 is 525. So, answer is none</p><p>E</p>","correct_answer":["E"],"equiv_key":"1f23aa945cb1223743f2e4b0","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>550</p>","ord":0},{"label":"B","content_html":"<p>570</p>","ord":1},{"label":"C","content_html":"<p>600</p>","ord":2},{"label":"D","content_html":"<p>700</p>","ord":3},{"label":"E","content_html":"<p>none of these</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":[]}