Track / Stage 4 / 40 of 340 #300 of 1964

Problem 300

AMC 12 late, AIME early

Combinatorics Difficulty 4.6 Find the answer

Given the universal set $I=\{1,2,3,4,5\}, A \cap B$ $=\{2\}, \bar{A} \cap B=\{1,4\}$ . Then $\bar{B}$ equals: ( ).
(A) $\{3\}$
(B) $\{5\}$
(C) $\{1,2,4\}$
(D) $\{3,5\}$

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Official solution

1. D

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.