{"id":"aqua_rat:0838f3cc2babce4c58512c4ef57ae812","source_id":"aqua_rat","source_item_id":"0838f3cc2babce4c58512c4ef57ae812","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":"Santa distributes 2 gifts to every child in the street at the Christmas evening. He mistakenly gives 4 gifts to some children. If he distributed 50 gifts to 21 children. How many children got 4 gifts?","stimulus":"","stimulus_html":null,"stem_html":"<p>Santa distributes 2 gifts to every child in the street at the Christmas evening. He mistakenly gives 4 gifts to some children. If he distributed 50 gifts to 21 children. How many children got 4 gifts?</p>","rationale_html":"<p>Santa had 50 gifts and there were 21 children, and each of them had to receive at least 2 gifts , so santa should have given 42 gifts in total, but instead he gave 4 gifts to some of them.</p><p>It means, he gave 8 more gifts in pairs of 2 i.e. he had 4 pairs of gifts. That means, 4 children got 4 gifts.</p><p>Verification:</p><p>17 children got only 2 gifts i.e. 17 * 2 = 34 gifts.</p><p>4 children got 4 gifts each, so : 4 * 4 = 16 gifts</p><p>Total is 50.</p>","correct_answer":["D"],"equiv_key":"babe0ae0c9711006cf1c2b6b","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>1</p>","ord":0},{"label":"B","content_html":"<p>2</p>","ord":1},{"label":"C","content_html":"<p>3</p>","ord":2},{"label":"D","content_html":"<p>4</p>","ord":3},{"label":"E","content_html":"<p>5</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":[]}