Engineering Mathematics · Propositional and First-Order Logic
Official IIT answer key · IISc Bangalore · Audited Aug 2026
GATE CSE 2024 Set 2 Q12 · MCQ · 1 mark
Key concept
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Topic notes
Across the provided GATE CS exam papers (2012–2026), Propositional and First-Order Logic is tested through two major avenues: formalizing natural language statements into first-order logic (FOL) expressions and analyzing algebraic/truth properties of propositional and predicate formulas (tautology checking, equivalence, and operator properties). Questions frequently test quantifier negation, conditional equivalences, and formal representations of existence, uniqueness, and contrapositives. The topic is evenly balanced between 1-mark conceptual items and 2-mark algebraic simplification or multi-quantifier questions.
Full Propositional and First-Order Logic guide →Let p and q be the following propositions: p: Fail grade can be given. q: Student scores more than 50% marks. Consider the statement: “Fail grade cannot be given when student scores more than 50% marks.” Which one of the following is the CORRECT representation of the above statement in propositional logic?
Topic-wise GATE CS PYQs with verified steps
Independent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.
