{"id":"aqua_rat:576ebbae2f949a0bc8efef8f9f7ba3ef","source_id":"aqua_rat","source_item_id":"576ebbae2f949a0bc8efef8f9f7ba3ef","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":"Of the new vehicles registered in a week, 300 were neither SUVs nor were they powered by diesel. 3/4th of the SUVs registered were diesel powered and there were half as many SUVs as there were non SUVs. If SUVs not powered by diesel were a sixth of non SUVs not powered by diesel, how many vehicles V registered in the week were powered by diesel?","stimulus":"","stimulus_html":null,"stem_html":"<p>Of the new vehicles registered in a week, 300 were neither SUVs nor were they powered by diesel. 3/4th of the SUVs registered were diesel powered and there were half as many SUVs as there were non SUVs. If SUVs not powered by diesel were a sixth of non SUVs not powered by diesel, how many vehicles V registered in the week were powered by diesel?</p>","rationale_html":"<p>Supposing that &#x27;x&#x27; is the number of vehicles of SUV.</p><p>0.25*x = non diesel SUV</p><p>0.75*x = diesel SUV</p><p>0.5*x = only diesel</p><p>By supposition,</p><p>0.25*x = 1/6*300</p><p>=&gt;x = 200</p><p>Therefore, number of vehicles powered by diesel is V =150+100 = 250=D</p>","correct_answer":["D"],"equiv_key":"a9f1cd96a91f20f61a53e895","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>50</p>","ord":0},{"label":"B","content_html":"<p>150</p>","ord":1},{"label":"C","content_html":"<p>200</p>","ord":2},{"label":"D","content_html":"<p>250</p>","ord":3},{"label":"E","content_html":"<p>400</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":[]}