Mathematical Logic Questions with Solutions

Mathematical logic deals with statements that are either true or false, and with how they combine. This topic covers statements and logical connectives (negation, conjunction "and", disjunction "or", conditional "if...then" and biconditional "if and only if"), truth tables, tautologies, contradictions and contingencies, and logical equivalence. It also covers the converse, inverse and contrapositive of a conditional statement, quantifiers ("for all" and "there exists"), the negation of compound and quantified statements, De Morgan's laws, and switching circuits. Remember that a conditional statement p -> q is false only when p is true and q is false, and that it is logically equivalent to its contrapositive ~q -> ~p. Mathematical logic is a high-scoring chapter in MHT CET because its questions follow fixed rules and can be checked with truth tables. Practise the mathematical logic questions below, each with a truth table or step-by-step solution.