UGC NET Questions (Paper – 1)

A gives the defining properties: reflexive, symmetric and transitive. C (equality) and D (congruence modulo n) are classic examples satisfying these properties. B is false because reflexivity cannot be dropped. E is false because equivalence classes can contain multiple elements (e.g., congruence classes modulo n). Therefore A, C and D only are correct.

Option A:
Option A is correct since it includes the definition and two standard examples while excluding B and E, which are false.

Option B:
Option B is incomplete because it ignores D, leaving out an important arithmetic example.

Option C:
Option C is wrong because it includes E, which incorrectly claims all equivalence classes are singletons.

Option D:
Option D is incorrect because it omits A, which states the defining criteria of an equivalence relation.