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Let Universal set U is {1, 2, 3, 4, 5, 6, 7, 8}, (Complement of A) A’ is {2, 5, 6, 7}, A ∩ B is {1, 3, 4}then the set B’ will surely have of which of the element?(a) 8(b) 7(c) 1(d) 3This question was posed to me during an internship interview.I'm obligated to ask this question of Algebraic Laws on Sets in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer»

The correct answer is (a) 8

To explain I WOULD SAY: The set A is {1,3,4,8} and thus surely B does not have8 in it. SINCE 8 does not belong to A ∩ B. For other ELEMENT like 7 we can’t be sure.



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