{"id":"aqua_rat:6d9a81dbb9c1d7686f277efd8f1b564c","source_id":"aqua_rat","source_item_id":"6d9a81dbb9c1d7686f277efd8f1b564c","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":"Mr. Bean chooses a number and he keeps on doubling the number followed by subtracting one from it, if he chooses 3 as initial number and he repeats the operation for 30 times then what is the final result?","stimulus":"","stimulus_html":null,"stem_html":"<p>Mr. Bean chooses a number and he keeps on doubling the number followed by subtracting one from it, if he chooses 3 as initial number and he repeats the operation for 30 times then what is the final result?</p>","rationale_html":"<p>Step 1: (3 x 2) - 1 = 5 ( 2^2 + 1)</p><p>Step 2: (5 x 2) - 1 = 9 (2^3 + 1)</p><p>Step 3: (9 x 2) - 1 = 17 (2^4 + 1)</p><p>Step 4: (17 x 2) - 1 = 33 (2^5 + 1)</p><p>So After 30 steps we have 2^31 + 1</p><p>Ans: B</p>","correct_answer":["B"],"equiv_key":"4c7a85d0983650ab5ed45346","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>22</p>","ord":0},{"label":"B","content_html":"<p>77</p>","ord":1},{"label":"C","content_html":"<p>269</p>","ord":2},{"label":"D","content_html":"<p>279</p>","ord":3},{"label":"E","content_html":"<p>71</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":[]}