UGC NET Questions (Paper – 1)

Statements A, B and C are standard interpretations of sets, universal set and complement using Venn diagrams. Statement E is also true because Venn diagrams are widely used to visualise logical relations and survey data. Statement D is false since disjoint sets have no shared elements and thus no overlapping regions in the diagram. Hence the combination A, B, C and E only is correct.

Option A:
Option A is correct as it combines all accurate statements while rejecting D, which misdescribes disjointness. It faithfully reflects how Venn diagrams are used in NET-style reasoning questions.

Option B:
Option B is incomplete because it omits E and therefore does not mention important applications such as classification and survey questions, limiting the scope of the description.

Option C:
Option C is wrong because it includes D, which contradicts the definition of disjoint sets by asserting that they overlap, even though it also lists true statements. The presence of D invalidates the option.

Option D:
Option D is also incorrect as it keeps D and omits A, thereby losing the basic fact about sets as regions and retaining an incorrect claim about disjointness.

A is the standard inclusion–exclusion formula for two sets. B is a special case when A and B are disjoint (intersection is empty). C is true because an intersection cannot have more elements than either set. D is true for subset relations. E is false because inclusion–exclusion is commonly extended to three (and more) sets. Therefore, A, B, C and D only are correct.

Option A:
Option A is incomplete because it omits D, which is also a true statement about subset relations with union and intersection.

Option B:
Option B is correct because it includes all true statements (A, B, C, D) and excludes E, which is false.

Option C:
Option C is incomplete because it omits A, which is a key identity for set cardinality.

Option D:
Option D is wrong because it includes E (false), so it cannot be the correct set.