Engineering Mathematics · Propositional and First-Order Logic
Official IIT answer key · IIT Kanpur · Audited Aug 2026
GATE CSE 2023 Q26 · MSQ · 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 →Geetha has a conjecture about integers, which is of the form x (P(x) y Q(x,y) ), where P is a statement about integers, and Q is a statement about pairs of integers. Which of the following (one or more) option(s) would imply Geetha's conjecture?
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.
