{"id":"aqua_rat:001e3bd2db3647328d11427223645d23","source_id":"aqua_rat","source_item_id":"001e3bd2db3647328d11427223645d23","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":"In how many arrangements can you arrange 3 green cones and 3 blue cones in a line along the boundary of football ground if no two cones of the same color are to be adjacent?","stimulus":"","stimulus_html":null,"stem_html":"<p>In how many arrangements can you arrange 3 green cones and 3 blue cones in a line along the boundary of football ground if no two cones of the same color are to be adjacent?</p>","rationale_html":"<p>BGBGBG or GBGBGB --&gt; 2 ways,</p><p>Both 3 B&#x27;s and 3 G&#x27;s can be arranged in 3! ways.</p><p>Thus total 2*3!*3!=72.</p><p>D.</p>","correct_answer":["D"],"equiv_key":"04a28dc38e92167764c5574e","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>6</p>","ord":0},{"label":"B","content_html":"<p>12</p>","ord":1},{"label":"C","content_html":"<p>36</p>","ord":2},{"label":"D","content_html":"<p>72</p>","ord":3},{"label":"E","content_html":"<p>144</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":[]}