{"id":"aqua_rat:0d49e6c814915f9372ca8c7bf4bef03f","source_id":"aqua_rat","source_item_id":"0d49e6c814915f9372ca8c7bf4bef03f","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":"One day in December 2015, three 2-digit prime numbers A, B and C, were given to three members of a High School math team: Ashley, Beth, and Caitlin (respectively). They had this conversation: Ashley: you two add your numbers, we get precisely today's date!\" Beth: you two add your numbers, we get my birthday this month, which was before today.\" Caitlin: you two add your numbers, we get my birthday this month, which is after today.\" What number did Caitlin get?","stimulus":"","stimulus_html":null,"stem_html":"<p>One day in December 2015, three 2-digit prime numbers A, B and C, were</p><p>given to three members of a High School math team: Ashley, Beth, and Caitlin (respectively).</p><p>They had this conversation:</p><p>Ashley: you two add your numbers, we get precisely today&#x27;s date!&quot;</p><p>Beth: you two add your numbers, we get my birthday this month, which was before today.&quot;</p><p>Caitlin: you two add your numbers, we get my birthday this month, which is after today.&quot;</p><p>What number did Caitlin get?</p>","rationale_html":"<p>The numbers A, B, C belong a priori in the set f11; 13; 17; 19g|Note that the</p><p>addition of any of these two 2-digit prime numbers cannot be greater than or equal to 30,</p><p>which places a strong restriction on the greatest of the three numbers: this must be at most</p><p>19. These are the only valid additions of any two numbers on that set:</p><p>11 + 11 = 22, 11 + 13 = 24, 11 + 17 = 29, 11 + 19 = 30, 13 + 13 = 26, 13 + 17 = 30</p><p>Note in particular the strict inequalities placed on the addition of any of these two numbers:</p><p>22 _&lt;A + C &lt; B + C &lt; A + B _&lt;30</p><p>Since C &lt; B, there are only two possibilities for B+C at this point: B = 13,C = 11,B+C =</p><p>24, or B = 17,C = 11,B + C = 29.</p><p>correct answer A</p>","correct_answer":["A"],"equiv_key":"b0fcacc480e891e3f47337e7","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>11</p>","ord":0},{"label":"B","content_html":"<p>13</p>","ord":1},{"label":"C","content_html":"<p>17</p>","ord":2},{"label":"D","content_html":"<p>19</p>","ord":3},{"label":"E","content_html":"<p>23</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":[]}