Sets and Relations Part 1

Let A={0,1,2,...,9}. Let R be a relation on A defined by (x,y)∈R if and only if |x−y| is a multiple of 3 .
Given below are two statements :
Statement I : n(R)=36.
Statement II : R is an equivalence relation.
In the light of the above statements, choose the correct answer from the options given below: