JEE Mathematics · Easy

Mathematical Reasoning: Statements and connectives MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Statements and connectivesEasyQuestion 420001

Question

A tautology is a compound statement that is:
  1. A
    Always true regardless of truth values of components
    Correct
  2. B
    Always false
  3. C
    Sometimes true, sometimes false
  4. D
    A definition

Correct answer

Always true regardless of truth values of components

Explanation

Tautology: a compound statement true for ALL possible truth value combinations. Example: p ∨ ¬p. Contradiction: always false (p ∧ ¬p). Contingency: sometimes true, sometimes false.