Just take an eg. of 3 elements. Let set A={0,1,2}
Find out the relation set according to qs.
Relation R ={ ((0,1),(1,0)) , ((1,2),(2,1)) , ((0,1),(2,0)) , ((0,2),(1,0)) , ((0,2),(1,1)) , ((0,2),(2,1)) , ((1,2),(2,0)) , ((1,2),(2,1)) }
Check properties of relation R :
1.Reflexive = NO
2.Symmetric = NO
3.Transitivity = YES
4.Antisymmetric = Yes
So according to properties of POR and Equivalence relation it is neither POR nor Equivalence relation.
The correct answer is (A) Neither a Partial Order nor an Equivalence Relation