{"id":"aqua_rat:1783d96f2c165d93754b3f0260d89ff0","source_id":"aqua_rat","source_item_id":"1783d96f2c165d93754b3f0260d89ff0","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 computer routine was developed to generate two numbers (x,y) the first being a random number between 0 and 100 inclusive, and the second being less than or equal to the square root of the first. Each of the following pair satisfies the routine except","stimulus":"","stimulus_html":null,"stem_html":"<p>A computer routine was developed to generate two numbers (x,y) the first being a random number between 0 and 100 inclusive, and the second being less than or equal to the square root of the first. Each of the following pair satisfies the routine except</p>","rationale_html":"<p>99 is generated</p><p>We don&#x27;t know what the square root of 99 is because we would need a calculator, but we know the square root of 100 is 10, so the square root of 99 has to be less than 10.</p><p>A</p>","correct_answer":["A"],"equiv_key":"bf99f9ba916a76bf162e8bd1","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>(99,10)</p>","ord":0},{"label":"B","content_html":"<p>(85,9)</p>","ord":1},{"label":"C","content_html":"<p>(50,7)</p>","ord":2},{"label":"D","content_html":"<p>(1,1)</p>","ord":3},{"label":"E","content_html":"<p>(1,0)</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":[]}