Sets, Relations and Functions - Arithmetic Aptitude Questions and Answers

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A Relation R is defined on the set of integers as xRy if (x + y) is even. Which of the following statements is TRUE?

R is an equivalence relation having three equivalence classes

R is an equivalence relation having two equivalence classes

R is an equivalence relation having one equivalence class

R is not an equivalence relation

Answer : Option B

Explanation :

R is an equivalence relation having two equivalence classes

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