Let \( A=\{0,1,2,\ldots,9\} \). Let \( R \) be a relation on \( A \) defined by \( (x,y)\in R \) 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:
