CAT Algebra questions with solutions

171 previous year CAT questions on Algebra, taken from the MS section, each with the correct answer and a full explanation. Work through them in order or jump to a specific paper.

#028Distinct integer solutions of modulus equationCATQATITAEasy
#029Condition for no solution in system of linear equationsCATQAMCQEasy
#043Product of exponents in chain of equationsCATQATITAEasy
#044Sum of reciprocal terms in recurrence sequenceCATQAMCQHard
#045Number of solutions to max-min modulus equationCATQATITAMedium
#047Sum of solutions to functional equationCATQAMCQMedium
#049Sum of real roots of exponential equationCATQAMCQEasy
#051System of Absolute Value EquationsCATQAMCQMedium
#057Sum of Infinite SeriesCATQAMCQMedium
#058Logarithmic Equation and Maximum IntegerCATQATITAHard
#062Equation Involving Square Roots of SurdsCATQATITAEasy
#065Symmetric Expression of Quadratic RootsCATQAMCQMedium
#069Solving Rational InequalityCATQAMCQMedium
#070Minimization/Sum of Squares in Real VariablesCATQATITAMedium
#120System of absolute value equationsCATQAMCQHard
#125Pairs of integers satisfying absolute inequalitiesCATQATITAMedium
#251Number of Integer PairsCATQATITAMedium
#252Logarithmic Value RangeCATQAMCQHard
#253Smallest Value in Geometric ProgressionCATQAMCQHard
#254Minimum Value of Algebraic ExpressionCATQATITAHard
#257Maximum Value for Real xCATQAMCQMedium
#259Maximum Value of 2x + yCATQATITAEasy
#261Smallest Possible Value of bCATQAMCQMedium
#264Number of Integers Satisfying Exponential EqualityCATQAMCQEasy
#265Absolute Value Equation PairsCATQAMCQHard

25 / 171

All CAT MS topics →