{"id":"aqua_rat:3c475f980d27f4965819a9f59e68354e","source_id":"aqua_rat","source_item_id":"3c475f980d27f4965819a9f59e68354e","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":"The average age of the first seven people to arrive at Nikhil’s birthday is 21. When Vijay (29) arrived, the mean age is increased to 22. Marry (also 29) arrived next. The tenth and last person to arrive at Nikhil's party is Nikhil himself, and the mean age increased to 30 years. How old is Nikhil on his birthday?","stimulus":"","stimulus_html":null,"stem_html":"<p>The average age of the first seven people to arrive at Nikhil’s birthday is 21. When Vijay (29) arrived, the mean age is increased to 22. Marry (also 29) arrived next. The tenth and last person to arrive at Nikhil&#x27;s party is Nikhil himself, and the mean age increased to 30 years. How old is Nikhil on his birthday?</p>","rationale_html":"<p>Avg age of 1st 7 people tot/7=21</p><p>tot=147</p><p>Total after Vijay&#x27;s arrival 147+29 = 176/8= 22</p><p>After Marry&#x27;s arrival 176+29= 205</p><p>After Nikhils&#x27; arrival the mean increased to 30</p><p>Let Nikhil&#x27;s age be x</p><p>205+x/10=30</p><p>205+x=300</p><p>x=95</p><p>B</p>","correct_answer":["B"],"equiv_key":"320d2c9f5aa970377866b0e6","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>94</p>","ord":0},{"label":"B","content_html":"<p>95</p>","ord":1},{"label":"C","content_html":"<p>96</p>","ord":2},{"label":"D","content_html":"<p>97</p>","ord":3},{"label":"E","content_html":"<p>98</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":[]}