{"id":"aqua_rat:72e54f2da0870b3b572c20c54dd04fce","source_id":"aqua_rat","source_item_id":"72e54f2da0870b3b572c20c54dd04fce","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 club consists of members whose ages are in A.P. The common difference being 3 months. If the youngest member of the club is just 7 years old and the sum of the ages of all the members is 250, then number of members in the club are :","stimulus":"","stimulus_html":null,"stem_html":"<p>A club consists of members whose ages are in A.P. The common difference being 3 months. If the youngest member of the club is just 7 years old and the sum of the ages of all the members is 250, then number of members in the club are :</p>","rationale_html":"<p>Let, n be the number of members in the club.Then,</p><p>250 =(n x [2×7+(n+1)×3/12]) / 2.</p><p>n =25.</p><p>Hence, the number of members in the club is 25.</p><p>C</p>","correct_answer":["C"],"equiv_key":"9522d82e9ef60026b6b94a35","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>18</p>","ord":0},{"label":"B","content_html":"<p>20</p>","ord":1},{"label":"C","content_html":"<p>25</p>","ord":2},{"label":"D","content_html":"<p>26</p>","ord":3},{"label":"E","content_html":"<p>27</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":[]}