Mathematical reasoning in JEE covers the formal logic underlying mathematical proofs and arguments. The foundation is the concept of a statement (proposition) — a declarative sentence with a definite truth value (true or false, not both). Variables, commands, questions, and exclamations are not statements. Compound statements are formed by connecting simple statements using logical connectives: negation, conjunction, disjunction, conditional, and biconditional. Understanding how truth values propagate through these connectives — via truth tables — is the core skill. The subject also covers quantifiers (universal and existential), methods of proof (direct, contrapositive, contradiction, induction), and logical equivalences. While this topic carries low JEE weightage (0-1 questions), the concepts underpin all mathematical thinking.