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GATE | GATE-CS-2005 | Question 42

  • Difficulty Level : Basic
  • Last Updated : 28 Jun, 2021

Let R and S be any two equivalence relations on a non-empty set A. Which one of the following statements is TRUE?
(A) R ∪ S, R ∩ S are both equivalence relations
(B) R ∪ S is an equivalence relation
(C) R ∩ S is an equivalence relation
(D) Neither R ∪ S nor R ∩ S is an equivalence relation


Answer: (C)

Explanation: Refer http://en.wikipedia.org/wiki/Equivalence_relation#Generating_equivalence_relations

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