{"id":"aqua_rat:5792e9ed78b9c19bd6ebf7ca591fd66b","source_id":"aqua_rat","source_item_id":"5792e9ed78b9c19bd6ebf7ca591fd66b","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":"How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?","stimulus":"","stimulus_html":null,"stem_html":"<p>How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?</p>","rationale_html":"<p>Parallelograms are formed when any two pairs of parallel lines (where each pair is not parallel to the other pair) intersect.</p><p>Hence, the given problem can be considered as selecting pairs of lines from the given 2 sets of parallel lines.</p><p>Therefore, the total number of parallelograms formed = 7C2 x 6C2 = 315</p><p>C</p>","correct_answer":["C"],"equiv_key":"86674b5af4a73695f299e6dc","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>42</p>","ord":0},{"label":"B","content_html":"<p>294</p>","ord":1},{"label":"C","content_html":"<p>315</p>","ord":2},{"label":"D","content_html":"<p>345</p>","ord":3},{"label":"E","content_html":"<p>385</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":[]}