JEE Main · MathematicsHard
The statement is:
- A.A contradiction
- B.A tautology
- C.Contingent
- D.Equivalent to
Show correct answer & step-by-step solution
Correct answer: B — A tautology
Solution
- The expression represents the Law of Syllogism in propositional logic.
- A truth table analysis shows that the expression evaluates to true for all possible combinations of truth values for , , and .
- Since the statement is true under every possible interpretation, it is classified as a tautology.
- Hence the answer is (B).
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