Contradiction logical status – UGC NET Question

A contradiction is a statement that cannot be true in any possible situation because its form guarantees falsity on every line of its truth table. It is logically inconsistent and unsatisfiable, meaning no assignment of truth values makes it hold. Such statements often arise from combining a claim and its negation. Therefore the statement described in the stem is accurately called a contradiction.

Option A:
Option A is correct because contradictions exhibit the extreme case of logical falsity: they are false in all possible worlds or under all valuations. Recognising contradictions is important in proofs by contradiction and in detecting inconsistent sets of premises.

Option B:
Option B, tautology, is the exact opposite: a statement that is true under every possible assignment of truth values. While it also has a uniform truth-value pattern, that pattern is truth rather than falsehood.

Option C:
Option C, contingency, is true under some assignments and false under others, which is the normal status of most factual claims. The stem, however, speaks of a statement that is false in every possible case.

Option D:
Option D, hypothesis, refers to a provisional assumption or conjecture and does not specify a particular truth-table pattern. A hypothesis could be a tautology, contradiction or contingency depending on its logical form and content.