{"id":"aqua_rat:62a136983763389f350ebd2f43f6e88d","source_id":"aqua_rat","source_item_id":"62a136983763389f350ebd2f43f6e88d","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":"A batsman has scored an average of 46 runs for a certain number of innings played in England. When he came back to India, he played another two test matches of two innings each and scored at an average of 55 runs. For the innings in England and in India taken together, he has improved his average by 2 runs over the matches played in England. Find the number of innings played in England.","stimulus":"","stimulus_html":null,"stem_html":"<p>A batsman has scored an average of 46 runs for a certain number of innings played in England. When he came back to India, he played another two test matches of two innings each and scored at an average of 55 runs. For the innings in England and in India taken together, he has improved his average by 2 runs over the matches played in England. Find the number of innings played in England.</p>","rationale_html":"<p>Let the number of innings played in England be x.</p><p>∴ Total runs scored in England = 46x</p><p>Total runs scored for innings played in India</p><p>= 55 × 4 = 220</p><p>(∵ the number of innings played in India = 4)</p><p>Also, 46x+220/x+4 = 48</p><p>⇒ 46x + 220 = 48 x + 192</p><p>⇒ 2x = 28</p><p>⇒ x = 14</p><p>Answer C</p>","correct_answer":["C"],"equiv_key":"10b7e76e6f9b68cd602530be","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>12</p>","ord":0},{"label":"B","content_html":"<p>13</p>","ord":1},{"label":"C","content_html":"<p>14</p>","ord":2},{"label":"D","content_html":"<p>15</p>","ord":3},{"label":"E","content_html":"<p>16</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":[]}