Set Theory and Algebra MCQ

1:

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

A.

R is not an equivalence relation

B.

R is an equivalence relation having one equivalence class

C.

R is an equivalence relation having two equivalence classes

D.

R is an equivalence relation having three equivalence classes

 

Answer : C

Explanation :

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Option: A

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