{"id":"aqua_rat:b8e11823aec10dbb9adb5885d2fc94d2","source_id":"aqua_rat","source_item_id":"b8e11823aec10dbb9adb5885d2fc94d2","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":"The difference between the squares of two numbers is 256000 and the sum of the numbers is 1000. The numbers are","stimulus":"","stimulus_html":null,"stem_html":"<p>The difference between the squares of two numbers is 256000 and the sum of the numbers is 1000. The numbers are</p>","rationale_html":"<p>Let the numbers be x and y.</p><p>Then, x^2 - y^2 = 256000 and x + y = 1000.</p><p>On dividing we get : x - y = 256.</p><p>‹=›Solving x + y = 1000 and x - y = 256,</p><p>‹=›we get : x = 628 and y = 372.</p><p>Answer B</p>","correct_answer":["B"],"equiv_key":"70b71c8dc52b6bc8fd67e5cb","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>600, 400</p>","ord":0},{"label":"B","content_html":"<p>628, 372</p>","ord":1},{"label":"C","content_html":"<p>640, 360</p>","ord":2},{"label":"D","content_html":"<p>None of these</p>","ord":3},{"label":"E","content_html":"<p>Cannot be determined</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":[]}