{"id":"aqua_rat:2a4a3ee31bb221fda6245124379aecc4","source_id":"aqua_rat","source_item_id":"2a4a3ee31bb221fda6245124379aecc4","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 least possible value of |89 - 9a|, where a is an integer, is","stimulus":"","stimulus_html":null,"stem_html":"

The least possible value of |89 - 9a|, where a is an integer, is

","rationale_html":"

|89 - 9a| will have least value when a has highest possible value.

for a= 10 expression |89 - 9a| becomes |89 -90| = 1 which is the least possible value.

B

","correct_answer":["B"],"equiv_key":"128c7532edb1906bf1776ef6","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"

9

","ord":0},{"label":"B","content_html":"

10

","ord":1},{"label":"C","content_html":"

11

","ord":2},{"label":"D","content_html":"

12

","ord":3},{"label":"E","content_html":"

13

","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":[]}