UGC NET Questions (Paper – 1)

Statements A and B give the two De Morgan identities for complements of unions and intersections. Statement C correctly notes that these laws link complements with union and intersection operations. Statement D is also true because the universal set’s complement is the empty set relative to that universe. Statement E is false since similar De Morgan laws hold for logical connectives “and” and “or”. Thus A, B, C and D only are correct.

Option A:
Option A is correct because it gathers all the true statements and excludes E, which wrongly denies the logical counterpart of De Morgan’s laws.

Option B:
Option B is incomplete as it omits D (complement of universal set).

Option C:
Option C is wrong because it includes E (false).

Option D:
Option D is wrong because it includes E (false) and omits A (one of the two key identities).

Statements A and B give correct definitions of union and intersection, D correctly states that the empty set is a subset of every set and E is true because many reasoning problems about groups naturally use set models and sometimes Venn diagrams. Statement C is false since the complement of A in U consists of elements of U that are not in A, not elements that are in both A and U. Therefore, the combination A, B, D and E only is correct.

Option A:
Option A is incomplete because it omits E and so does not mention the common application of set theory to practical reasoning questions in exams. Without E, the conceptual link to aptitude problems is weakened.

Option B:
Option B is also incomplete as it leaves out A and therefore fails to give the basic description of union, which is central to understanding combined categories in reasoning questions.

Option C:
Option C is wrong because it includes C, which misdescribes complement, and omits E, ignoring the modelling role of sets. Including a false statement invalidates the option.

Option D:
Option D is correct as it keeps all true statements while excluding C, the incorrect account of complement. It aligns with the formal set-theoretic framework used for UGC NET reasoning items.