CAT QA previous year questions with solutions
Arithmetic, algebra, geometry, number systems and modern maths questions from the Quantitative Ability section of CAT. 757 questions, every one with a full solution.
Topics
Algebra 103Geometry 86Arithmetic 82Number System 32Functions 26Number Systems 24Quantitative Aptitude 23QA 21Percentages 20Averages 20Number Theory 20Profit & Loss 17Logarithms 15Speed, Time and Distance 15Permutations and Combinations 13Quadratic Equations 12Coordinate Geometry 11Progressions 11Combinatorics 11Mensuration 10Sequences & Series 10Ratios and Proportions 8Linear Equations 8Inequalities 8Mixtures 8Ratio and Proportion 8Exponents and Logarithms 7Work and Time 7Set Theory 7Data Sufficiency 7Time and Work 6Mixtures and Alligations 6Permutation and Combination 6Speed Time Distance 4Sequence & Series 4Linear and Quadratic Equations 4Simple Interest 3SI & CI 3Rates & Work 3Time, Speed & Distance 3Modern Math 3Races 3Exponents 3Co-geometry 3Speed, Distance & Time 3Ratio and Proportions 3Pipes & Cisterns 3Co-ordinate Geometry 3Circular races 2CI & SI 2Speed & Time 2Exponents & Powers 2Work, time 2Trigonometry 2Ratios 2Logarithm 2Mensuration and Geometry 2Logical Reasoning 2Surds and Indices 1Functions and Relations 1Word Problems 1PnC 1Inequalities and polynomials 1Modern Maths 1Maxima Minima 1Simple interest & Compound interest 1Circles 1Polynomials 1Simple & Compound Interest 1Modulus Function 1Arithmetic Progression 1Speed Distance Time 1Time Speed Distance 1Maxima and Minima 1Optimization 1Functions and Graphs 1Discrete Mathematics 1Statistics 1Data Interpretation 1
Papers
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All CAT QA questions
- #001Successive DiscountsQAMCQEasy
- #002Evaluate the Log ExpressionQATITAMedium
- #006Fruit Seller RatiosQATITAEasy
- #007Square Root of Irrational ExpressionQAMCQMedium
- #008Sum of Real Values of Exponential EquationQAMCQMedium
- #009Region Bounded by InequalitiesQAMCQMedium
- #010Work and Time AllocationQATITAEasy
- #011Percentage Rent Share ChangeQAMCQEasy
- #012Number of Onto FunctionsQAMCQMedium
- #013System of Quadratic EquationsQAMCQMedium
- #014Sum of Four-Digit NumbersQATITAMedium
- #015Remainder of Exponential PowerQAMCQEasy
- #016Averages of Consecutive SetsQATITAEasy
- #017Simple Interest ReinvestmentQAMCQEasy
- #018Grain Sales SequenceQAMCQEasy
- #019Arithmetic Progression TermQAMCQMedium
- #020Relative Speed and Time DifferenceQAMCQMedium
- #021Rectangular Box Inscribed in SphereQAMCQHard
- #022Mixture Replacement IterationsQAMCQEasy
- #023Sum of Floor Square RootsQATITAMedium
- #024Incircle Radius of Right Triangle in RectangleQATITAEasy
- #025Common Root of Three QuadraticsQATITAMedium
- #026Profit Percentage AdjustmentQAMCQEasy
- #027Logarithmic Equation Floor ValueQATITAMedium
- #028Distinct integer solutions of modulus equationQATITAEasy
- #029Condition for no solution in system of linear equationsQAMCQEasy
- #030Simplification of surd expressionQAMCQEasy
- #031Area of smaller region formed by chordQAMCQMedium
- #032Students opting for both activitiesQAMCQMedium
- #033Remainder of exponential expression divided by 13QAMCQEasy
- #034Area of triangle formed by intersection of medians and midpoint segmentsQATITAHard
- #035Successive percentage salary incrementsQAMCQEasy
- #036Work done in repeating three-day patternQAMCQMedium
- #037Initial water content in mixture replacementQATITAMedium
- #038Minimum years for compound interest growthQATITAMedium
- #039Profit made after discount on marked priceQAMCQEasy
- #040Finding largest number from modified mean conditionsQATITAMedium
- #041Positive integers up to 500 with non-repeating digitsQATITAEasy
- #042Train speed and distance calculationQAMCQEasy
- #043Product of exponents in chain of equationsQATITAEasy
- #044Sum of reciprocal terms in recurrence sequenceQAMCQHard
- #045Number of solutions to max-min modulus equationQATITAMedium
- #046Ratio of crop land distributionQAMCQEasy
- #047Sum of solutions to functional equationQAMCQMedium
- #048Area of square formed inside regular octagonQAMCQMedium
- #049Sum of real roots of exponential equationQAMCQEasy
- #050Remainder of Power of 3 Divided by 11QAMCQEasy
- #051System of Absolute Value EquationsQAMCQMedium
- #052Exponent Representation and Natural NumbersQAMCQMedium
- #053Functional Equation on Natural NumbersQAMCQHard
- #054Perimeter of Triangle Extended from TrapeziumQAMCQMedium
- #055Time and Work with Alternating ShiftsQATITAHard
- #056Profit and Loss Successive TransactionsQATITAEasy
- #057Sum of Infinite SeriesQAMCQMedium
- #058Logarithmic Equation and Maximum IntegerQATITAHard
- #059Averages and Percentage Increases in Employee BonusQAMCQMedium
- #060Paths Between Four TownsQATITAMedium
- #061Smallest Total Stock of FruitsQATITAHard
- #062Equation Involving Square Roots of SurdsQATITAEasy
- #063Incircle Radius of TriangleQATITAEasy
- #064Compound Interest and Simple Interest ReinvestmentQAMCQMedium
- #065Symmetric Expression of Quadratic RootsQAMCQMedium
- #066Scheduled Arrival Time of BusQAMCQMedium
- #067Ratio of Radii of Concentric/Tangent CirclesQAMCQHard
- #068Ratio of Water and Acid in SolutionQAMCQEasy
- #069Solving Rational InequalityQAMCQMedium
- #070Minimization/Sum of Squares in Real VariablesQATITAMedium
- #071Ratio of Ages Over TimeQAMCQMedium
- #108Silver and copper alloy mixtureQAMCQMedium
- #109Work and wages for painting a houseQATITAEasy
- #110Mira and Amal walking on a circular trackQATITAMedium
- #111Four-digit numbers with mandatory digitsQATITAHard
- #112Angle in a triangle with equal segmentsQAMCQHard
- #113Logarithmic equation range for aQAMCQEasy
- #114Maximum score of toppers in an examinationQATITAMedium
- #115Hostel monthly expenses and profit calculationQAMCQHard
- #116Time taken by Rahul to complete work aloneQAMCQEasy
- #117Percentage increase in male and female populationQAMCQEasy
- #118Area of parallelogram ABCDQAMCQHard
- #119Cost of electric wires along rhombus diagonalsQATITAEasy
- #120System of absolute value equationsQAMCQHard
- #121Matches won by a team in tournamentQAMCQEasy
- #122Combined price of large and small shirtsQAMCQHard
- #123General term of sequence of real numbersQAMCQHard
- #124Sum of prices of three tea cup sizesQATITAEasy
- #125Pairs of integers satisfying absolute inequalitiesQATITAMedium
- #126Lowest cost of fencing rectangular plotQAMCQEasy
- #127Smallest integer in radical product sequenceQATITAEasy
- #128Interest accrued to Rupa across banksQAMCQMedium
- #129Minimum value of composite function expressionQAMCQEasy
- #164Sign of Rational FunctionQAMCQEasy
- #165System of Absolute Value InequalitiesQAMCQEasy
- #166Chocolate Box Pricing and Weight ComparisonQAMCQMedium
- #167Logarithmic EquationQATITAHard
- #168Cost Equivalent Baskets of FruitsQAMCQMedium
- #169Equal Area of Hexagon and TriangleQAMCQMedium
- #170Average Onion Price per kgQAMCQMedium
- #171Three Distinct Real Roots of Absolute QuadraticQAMCQHard
- #172Fixed Wage and Profit Loss AnalysisQATITAMedium
- #173Compound Interest for Consecutive YearsQAMCQMedium
- #174Indigo Solution ReplacementQATITAEasy
- #175Time and Work Pairwise CompletionQATITAMedium
- #176Group Selection with ConditionsQATITAMedium
- #177Area of Right Triangle with Inscribed CircleQATITAEasy
- #178Distance in Regular HexagonQAMCQHard
- #179Covid Patients Average Recovery DaysQATITAMedium
- #180Ratio of Daily EarningsQAMCQMedium
- #181Sum of Numbers in a Grouped SequenceQAMCQHard
- #182Alternate Working Days Completion TimeQAMCQMedium
- #183Three-Digit Numbers Increasing on ReversalQATITAHard
- #184Two Trains Crossing Each OtherQAMCQMedium
- #185Periodic Recurrence RelationQAMCQMedium
- #222Value of x100 in recursive sequenceQAMCQMedium
- #223Distinct values of NQATITAEasy
- #224Logarithmic identity calculationQAMCQHard
- #225Road construction workforceQATITAEasy
- #226Area enclosed by lines and axesQAMCQMedium
- #227Age ratio problemQATITAEasy
- #228Integers not divisible by 2, 5, or 7QAMCQHard
- #229Examination marks calculationQAMCQEasy
- #230Functional equation evaluationQAMCQMedium
- #231Simplify logarithmic fractionQATITAMedium
- #232Exponents and powers relationQATITAHard
- #233Natural numbers bounded fractionsQAMCQHard
- #234Circular race meeting pointQAMCQMedium
- #235Profit percentage adjustmentQAMCQMedium
- #236Unique solution condition for linear systemQAMCQEasy
- #237Three digit numbers with repeated digitsQATITAEasy
- #238Smallest possible lowest score of batsmanQAMCQMedium
- #239Alcohol concentration mixtureQAMCQMedium
- #240Area of circumcircle of a triangleQAMCQHard
- #241Compound interest principal calculationQATITAEasy
- #242Meeting time of two trainsQAMCQEasy
- #243Office commute delay and recovery speedQAMCQMedium
- #244Minimum m + n for real rootsQAMCQHard
- #245Area of a right trapeziumQATITAMedium
- #246Parallelogram diagonal and line equationQAMCQEasy
- #247Ordered pairs of factorsQAMCQHard
- #248Car Race DistanceQAMCQMedium
- #249Equilateral Triangle PerpendicularsQAMCQHard
- #250Mean of Student ScoresQAMCQMedium
- #251Number of Integer PairsQATITAMedium
- #252Logarithmic Value RangeQAMCQHard
- #253Smallest Value in Geometric ProgressionQAMCQHard
- #254Minimum Value of Algebraic ExpressionQATITAHard
- #255Principal Amount from CI and SIQATITAEasy
- #256Length of Chord in CircleQAMCQHard
- #257Maximum Value for Real xQAMCQMedium
- #258Toy Discount and ProfitQAMCQEasy
- #259Maximum Value of 2x + yQATITAEasy
- #260Subject Choices Venn DiagramQAMCQEasy
- #261Smallest Possible Value of bQAMCQMedium
- #262Ratio of Train Travel TimesQAMCQEasy
- #263Triangle and Rectangle AreaQAMCQMedium
- #264Number of Integers Satisfying Exponential EqualityQAMCQEasy
- #265Absolute Value Equation PairsQAMCQHard
- #266Circular Tracks RaceQAMCQMedium
- #267Speed Ratio After CrossingQAMCQEasy
- #268Concentric Circles DiameterQATITAEasy
- #269Work Completion DaysQATITAMedium
- #270Spend on Wheat in MayQAMCQEasy
- #271Pencils and SharpenersQAMCQHard
- #272Share Split RatioQATITAEasy
- #273Distinct Digits Order PermutationQATITAHard
- #274Product of digits of 3-digit numbersQATITAMedium
- #275Symmetric function roots sumQAMCQMedium
- #276Equal balances of Veeru and JoyQATITAMedium
- #277Train speed increase for return journeyQAMCQMedium
- #278Logarithmic equation for yQATITAMedium
- #279Real-valued solutions of exponential equationQAMCQHard
- #280Meeting cars speed ratioQAMCQEasy
- #281Sum of positive integers A, B, CQAMCQMedium
- #282Power of x expressionQAMCQHard
- #283Mean of 4-digit even numbers 'aabb'QAMCQMedium
- #284Distinct real roots of quadratic in (x + 1/x)QATITAMedium
- #285Purchase price of desktopQATITAEasy
- #286Minimum maximum birthdays in a monthQAMCQHard
- #287Time taken by train to cross electric postQAMCQEasy
- #288Positive integer solutions to exponent equationQAMCQHard
- #289Area of region bounded by inequalitiesQATITAMedium
- #290Volume of original coneQAMCQEasy
- #291Ratio of area of inscribed circle to rhombusQAMCQHard
- #292Amal's speed to reach officeQAMCQMedium
- #293Smallest possible value of a + b + cQAMCQMedium
- #294Exponential log equation for negative yQAMCQHard
- #295Perimeter of rectangular metal sheetQAMCQMedium
- #296Percentage of old people among illiteratesQAMCQEasy
- #297Weight of metal C in alloyQAMCQEasy
- #298Initial stock of toffeesQATITAHard
- #299Dye added to solutionQATITAMedium
- #345Real root of exponential equationQAMCQMedium
- #346Average of 30 integersQAMCQMedium
- #347Real numbers satisfying system of equationsQAMCQHard
- #348Area of triangle given perpendicular mediansQAMCQMedium
- #349Sum of terms in a sequenceQAMCQHard
- #350Number of perfect square factors greater than 1QATITAMedium
- #351Radius of third touching circleQAMCQHard
- #352Largest integer for algebraic fractionQAMCQMedium
- #353Library books percentage increaseQAMCQMedium
- #354Multiplicative function valueQATITAMedium
- #355Interior angle of regular polygonQATITAMedium
- #356Cyclist and motorcycles relative speedQAMCQMedium
- #357Condition for real and distinct rootsQAMCQMedium
- #358Jogging on tracksQATITAMedium
- #359Work and time with three workersQAMCQMedium
- #360Ratio of scores after revisionQAMCQMedium
- #361Percentage comparison of exam scoresQATITAMedium
- #362Vertical height of regular pyramidQAMCQMedium
- #363Domain for real logarithmic square rootQAMCQHard
- #364Maximum altitude of right-angled triangleQAMCQMedium
- #365Two ants moving around a circular trackQAMCQMedium
- #366Pairs satisfying difference of squaresQATITAMedium
- #367Salary percentage increaseQAMCQMedium
- #368Minimum number of solid cylinders and total surface areaQAMCQHard
- #369Possible value of quadratic expression coefficientsQAMCQHard
- #370Six-digit number conditionQATITAMedium
- #371Purchase price of bicycleQAMCQMedium
- #372Common terms in two APsQAMCQMedium
- #373Sum of AP and sum of first n natural numbersQATITAMedium
- #374Resulting concentration after successive transfersQAMCQHard
- #375System of exponential equationsQATITAMedium
- #376Investment interest comparisonQATITAMedium
- #377Successive profit and loss transactionsQAMCQMedium
- #378Regular vs overtime work hoursQATITAMedium
- #379Percentage of Girls Who Do Not PassQATITAMedium
- #380Value of Reciprocal Difference in ExponentsQAMCQHard
- #381Grid Paths via an Intermediate PointQATITAHard
- #382Venn Diagram of Sports PlayedQAMCQMedium
- #383Intersecting Chords in a CircleQAMCQMedium
- #384Percentage Passing Score RequirementQAMCQEasy
- #385Hexagon Cut from Equilateral TriangleQAMCQEasy
- #386Circumcircle Radius of a Right TriangleQATITAHard
- #387Function Equation with Even/Odd CasesQATITAMedium
- #388Town Population Recurrence RelationQAMCQMedium
- #389Investment Split into Fixed and Multiple DepositsQATITAEasy
- #390Difference of Cubes RatioQAMCQMedium
- #391Cost Price from Profit and Loss EquationsQAMCQEasy
- #392Maximum Speed Difference Between Two CarsQAMCQMedium
- #393Work and Time with Varied EfficienciesQAMCQMedium
- #394Finding a Specific Term from Sum of SeriesQATITAMedium
- #395Number of Real Roots of Trigonometric Exponential EquationQAMCQEasy
- #396Relative Income Percentage ChangesQAMCQMedium
- #397Three Horse Race Course LengthQATITAEasy
- #398Sum of Square Root Terms in APQAMCQHard
- #399Chords in Circle and Length CalculationQAMCQMedium
- #400Time Comparison for Equal Time vs Equal DistanceQAMCQMedium
- #401Interest Income Ratio CalculationQAMCQEasy
- #402Solving Exponents Equation for Integer ValueQAMCQMedium
- #403Mixture Density and Percentage VolumeQAMCQMedium
- #404System of Logarithmic EquationsQAMCQMedium
- #405Brick Edge Ratios from Face DiagonalsQAMCQMedium
- #406Area of Region Defined by InequalitiesQATITAMedium
- #407Number of Solutions of Absolute EquationQATITAMedium
- #408Men and Machine Efficiency ComparisonQATITAMedium
- #409Product of Distinct Roots of Absolute QuadraticQAMCQMedium
- #410Bicycle Wheel Revolutions and SpeedQAMCQMedium
- #411Exponential Function Equation and SummationQATITAMedium
- #412Exam Averages and Individual Score CalculationQAMCQMedium
- #459Ratio of speeds of carsQAMCQMedium
- #460Largest possible value of first termQAMCQHard
- #461Paint mixture ratio in drum 2QAMCQMedium
- #462Length of line segment in cyclic geometryQATITAMedium
- #463Term index in a sequenceQATITAEasy
- #464Perimeter of leftover portionQAMCQMedium
- #465Largest exponent dividing expressionQATITAHard
- #466Length of subtended chordQAMCQEasy
- #467Logarithm value of productQAMCQMedium
- #468Matches played between boys and girlsQATITAHard
- #469Unknown concentration in mixtureQAMCQMedium
- #470Ratio of sides of rectangleQAMCQEasy
- #471Smallest integer in inequalityQAMCQMedium
- #472Smallest integer making polynomial positiveQATITAMedium
- #473Parallelogram side length constraintQAMCQEasy
- #474Sum of series of product of termsQAMCQMedium
- #475Difference between speeds of two carsQATITAEasy
- #476Product bound from sum of squaresQAMCQEasy
- #477Final percentage of water after replacementQAMCQMedium
- #478Distance between two cars at finishQATITAMedium
- #479Time to fill tank using both pumpsQAMCQMedium
- #480Time required for Ganesh to complete work aloneQAMCQMedium
- #481Largest possible value of linear expressionQATITAHard
- #482Ratio of new score to original scoreQAMCQMedium
- #483Shortest distance from originQAMCQMedium
- #484Count of two-digit numbersQAMCQMedium
- #485Time to fill tank with two types of inletsQATITAMedium
- #486Sum of principal amountsQATITAMedium
- #487Minimum possible value of xQATITAHard
- #488Minimum possible value of maximum functionQAMCQMedium
- #489Symmetric difference of setsQAMCQEasy
- #490Set inclusion relationshipQAMCQMedium
- #491Ratio of salt solution strengthsQAMCQMedium
- #492Simplification of logarithmic alternating sumQAMCQMedium
- #501Paint Mixture Profit MaximizationQAMCQMedium
- #502Area of Sector and Triangle in CircleQAMCQEasy
- #503Recursive Function ValueQATITAMedium
- #504Partha and Narayan Travel TimesQAMCQEasy
- #505Averages with Excluded TestsQATITAEasy
- #506Ratio of Cost Prices of Tea BlendsQAMCQEasy
- #507Wholesaler Walnut and Peanut Purchase PriceQAMCQMedium
- #508Work and Time for A and BQAMCQEasy
- #509Infinite Equilateral Triangles Area SumQAMCQEasy
- #510Minimizing Sum of Squares of FactorsQATITAEasy
- #511Logarithmic Exponential EquationQAMCQEasy
- #512Simplifying Logarithmic ExpressionQAMCQEasy
- #513Volume of Frustum of ConeQATITAEasy
- #514Ascending Order Numbers FormationQATITAHard
- #515Equal Instalments Loan RepaymentQATITAMedium
- #516Algebraic Identity OptimizationQAMCQMedium
- #517Two Cars Meeting PointQATITAEasy
- #518Rectangle Inscribed in CircleQAMCQEasy
- #519Pass Marks and Percentage RangeQAMCQHard
- #520GP and AP Combined Common RatioQAMCQEasy
- #521Powers of Two DivisibilityQATITAHard
- #522Three Subject Venn DiagramQATITAEasy
- #523Two Trains Journey TimeQATITAEasy
- #524Inscribed Square Side RatioQAMCQMedium
- #525System of Exponential EquationsQAMCQMedium
- #526Marble Sharing RatioQAMCQEasy
- #527System of Nested LogarithmsQAMCQEasy
- #528Humans and Robots Work RatesQAMCQEasy
- #529Area of Right Triangle in ParallelogramQAMCQEasy
- #530Radius of Circle with Parallel ChordsQAMCQEasy
- #531Inlet and Outlet Pipes Tank FillingQATITAEasy
- #532Set Theory Two Item PreferencesQAMCQMedium
- #533Maximum of Minimum FunctionQATITAEasy
- #534Apartment Complex Age AveragesQAMCQMedium
- #5583x3 Magic Square Grid EntryQATITAEasy
- #55910 km Race Medals ComparisonQATITAEasy
- #560Combining Two Milk and Water MixturesQAMCQMedium
- #561Arun's Round Trip with Bypass RoadQAMCQMedium
- #562Shirt Factory Defect and Sales PercentagesQAMCQEasy
- #563Average Height of ToddlersQAMCQEasy
- #564Successive Profit Margins on a TableQAMCQMedium
- #565Tank Inlet and Outlet PipesQAMCQMedium
- #566Mayank's Candy Purchase and ProfitQAMCQEasy
- #567Village Food Grain Production and Population GrowthQAMCQMedium
- #568Ratio of Positive Integers a, b, cQAMCQMedium
- #569Meeting of Motorbike and CarQAMCQMedium
- #570Work and Remuneration SharingQAMCQMedium
- #571Three-Mixture Ratio CombinationQAMCQHard
- #572Area of Square on Hexagon DiagonalQAMCQMedium
- #573Total Surface Area of Trapezoidal PillarQAMCQMedium
- #574Rectangle Diagonal Equation Parameter cQAMCQMedium
- #575Inscribed Quadrilateral Angle MeasureQATITAMedium
- #576Maximizing Rectangular Park AreaQATITAHard
- #577Inradius and Area of Right Isosceles TriangleQATITAMedium
- #578Sum of Squares of Consecutive IntegersQAMCQHard
- #579Logarithmic Range for xQAMCQHard
- #580Composite Function Value CalculationQAMCQMedium
- #581Minimum Value of Sum of Squares of RootsQAMCQMedium
- #582Solving Exponential Equation for xQAMCQMedium
- #583Arithmetic Mean of Logarithmic TermsQATITAHard
- #584Five Consecutive Odd and Even SequencesQATITAMedium
- #585Positive Integer Solutions to Reciprocal EquationQATITAHard
- #586Distributing Identical Pens with Minimum RequirementsQATITAMedium
- #587Four-Digit Numbers Divisible by 6QATITAHard
- #588Largest Possible Value of f(1)QATITAMedium
- #589Triangle Inequality Equality ConditionQAMCQHard
- #5905th Term of Infinite Geometric ProgressionQAMCQMedium
- #591Telescoping Series Sum of 100 TermsQAMCQMedium
- #615Arun and Barun's Age RatioQATITAEasy
- #616Work Completion with Incrementing WorkersQATITAEasy
- #617Elevator Weight LimitQATITAMedium
- #618Distance to Railway StationQATITAEasy
- #619Ravi's Monthly Savings AllocationQATITAEasy
- #620Discount and Profit PercentageQAMCQEasy
- #621Motor Boat and River Speed RatioQAMCQHard
- #622Profit Distribution Among Five CompaniesQAMCQMedium
- #623Admission Percentage of CandidatesQAMCQEasy
- #624Ratio of Jumbo Popcorn to Chips PacketsQAMCQMedium
- #625Overall Profit on MangoesQAMCQMedium
- #626Discount Adjustment After Loss of StockQAMCQMedium
- #627Ratio of Squares of Integers of Opposite SignsQAMCQHard
- #628Change in Average ScoresQAMCQMedium
- #629Area Bounded by Absolute Value EquationQAMCQEasy
- #630Area Remaining After Centroid CutQAMCQHard
- #631Area Enclosed by ArcsQAMCQMedium
- #632Surface Area Increase of Melted CubesQAMCQMedium
- #633Ball Resting on Hollow CylinderQATITAHard
- #634Minimum Time to HypotenuseQATITAMedium
- #635Logarithmic Relation and Geometric MeanQAMCQHard
- #636Expression Evaluation from Quadratic RelationQAMCQHard
- #637Value of Logarithmic ExpressionQAMCQMedium
- #638Exponential Equation for xQAMCQMedium
- #639Positive Integer Solutions to EquationQAMCQHard
- #640Number of Integer Solutions to InequalityQATITAHard
- #641Distinct Real Roots ConditionQATITAMedium
- #642Minimum Value of Sum of SquaresQATITAHard
- #643Triangles Formed by Diameters and CenterQATITAHard
- #644Shortest Distance from Point to CurveQAMCQHard
- #645Arithmetic Progression Terms RelationQAMCQMedium
- #646Distributing Identical ErasersQAMCQHard
- #647Composite Function ValueQAMCQMedium
- #648Sum of Terms in Arithmetic ProgressionQAMCQMedium
- #693Arithmetic Progression with LogarithmsQAMCQMedium
- #694Powers of 2 between Powers of 8QAMCQMedium
- #695Infinitely Many Solutions for System of Linear EquationsQAMCQMedium
- #696Algebraic Identity ExpansionQAMCQMedium
- #697Properties of Roots of Quadratic EquationQATITAMedium
- #698Natural Numbers with 15 FactorsQATITAHard
- #699Inequalities with Exponential FunctionsQATITAHard
- #700Time and Work with Inequality ConstraintsQAMCQHard
- #701Mixtures and Alligations with RatiosQAMCQEasy
- #702Percentage Changes and OptimizationQAMCQMedium
- #703Profit and Loss with Dishonest MerchantQAMCQMedium
- #704Averages and Changes in Mean WeightQAMCQEasy
- #705Boats and Streams with Multiple BoatsQAMCQHard
- #706Stock Optimization and Percentage SalesQATITAMedium
- #707Ratio and Divisibility ConstraintsQATITAEasy
- #708Time and Work with Work RatesQATITAEasy
- #709Isosceles Triangle and Ratio of AltitudesQAMCQMedium
- #710Largest Rectangle Inside a SemicircleQAMCQMedium
- #711Angles and Diagonals of a Regular PolygonQATITAEasy
- #712Sum of Infinite SeriesQAMCQMedium
- #713Common Terms in Arithmetic ProgressionsQAMCQEasy
- #714Functional Equation with Two VariablesQATITAMedium
- #715Largest possible value of n - mQAMCQMedium
- #716Sum of values of x in exponential equationQAMCQMedium
- #717Common divisor of algebraic expressionsQAMCQEasy
- #718Inequality condition for real numbersQAMCQMedium
- #719Logarithmic equation evaluationQATITAMedium
- #720Integers with exactly two non-trivial factorsQATITAMedium
- #721Quadratic roots condition and AM-GM minimizationQATITAMedium
- #722Ratio of average salaries in companyQAMCQEasy
- #723Profit percentage in sequential transactionsQAMCQMedium
- #724Pipes and cisterns filling timeQAMCQMedium
- #725Relative speed for simultaneous meetingQAMCQMedium
- #726Compound interest with partial repaymentQAMCQMedium
- #727Price of precious stone broken into piecesQAMCQMedium
- #728Repeated dilution of milkQATITAEasy
- #729Maximum number of shirts boughtQATITAHard
- #730Maximum number of persons for division of moneyQATITAMedium
- #731Ratio of segment lengths in rectangleQAMCQMedium
- #732Area of right-angled triangle inscribed in circleQAMCQEasy
- #733Area of bounded quadrilateralQATITAMedium
- #734Term of arithmetic progression with prime common differencesQAMCQMedium
- #735Difference between max and min value of algebraic expressionQAMCQMedium
- #736Largest three digit common term in two APsQATITAMedium
- #737Logarithmic Equation SolutionQAMCQEasy
- #738Algebraic Identity with Real VariablesQAMCQMedium
- #739Radical Equation SimplificationQAMCQMedium
- #740Divisibility and Prime FactorizationQAMCQMedium
- #741Absolute Value Equation Integer SolutionsQATITAMedium
- #742Roots of Quadratic EquationsQATITAMedium
- #743Cubic Polynomial Real Roots ConditionQATITAHard
- #744Palindromic Distance and Average SpeedQAMCQMedium
- #745Clock Angle Rate of ChangeQAMCQEasy
- #746Averages and Inequality BoundsQAMCQMedium
- #747Mixtures and Replacement FormulaQAMCQEasy
- #748Percentage Salary Hikes and RatiosQAMCQEasy
- #749Profit and Loss with Equal Selling PricesQAMCQMedium
- #750Meeting Time and Distance FormulaQATITAMedium
- #751Work Rates in Harmonic ProgressionQATITAHard
- #752Compound and Simple Interest ComparisonQATITAMedium
- #753Locus of Tangents Intersection to CircleQAMCQHard
- #754Cyclic Quadrilateral Diagonal RatioQAMCQMedium
- #755Triangle Area in Arithmetic ProgressionQATITAMedium
- #756Arithmetic Mean of Square Root FractionsQAMCQHard
- #757Combinatorics of Non-Repeating DigitsQAMCQEasy
- #758Recursive Sequence GrowthQATITAMedium
- #807Possible Integer Values of k for Quadratic EquationsQAMCQMedium
- #808Minimum Value of Expression with Domain RestrictionQAMCQEasy
- #809Roster Work Days CalculationQATITAMedium
- #810Mixture Replacement RatioQAMCQEasy
- #811Section Average Marks and Student DifferenceQATITAHard
- #812Functional Equation ConditionQAMCQMedium
- #813Area of Triangle Formed by Medians and MidpointsQATITAMedium
- #814Arithmetic Mean of PermutationsQAMCQEasy
- #815Simple Interest InvestmentsQAMCQEasy
- #816Relative Speed and Distance TraveledQAMCQMedium
- #817Exponential Equations and VariablesQATITAMedium
- #818Escalator Speed and TimeQATITAMedium
- #819Maximum Average of Six Natural NumbersQAMCQMedium
- #820Irrational Roots of Quadratic Equations with Integer CoefficientsQAMCQHard
- #821Range of Algebraic ExpressionQAMCQMedium
- #822Work Equivalence with Changing WorkersQAMCQEasy
- #823Average of 3-Digit AP TermsQATITAEasy
- #824Overlapping Area of Intersecting CirclesQAMCQHard
- #825Maximum Number of TeamsQATITAMedium
- #826Cheque Denomination OptimizationQATITAMedium
- #827Right Triangle Positions of Moving ShipsQAMCQHard
- #828Possible Integer Side Lengths of QuadrilateralQAMCQEasy
- #829Ratio of Altitudes in TriangleQAMCQMedium
- #830Time and Work RatioQATITAMedium
- #831Interior Angles of Regular PolygonsQATITAEasy
- #832Average of Max and Min ValuesQAMCQEasy
- #833Monthly Earnings and Savings TargetQAMCQEasy
- #834Container Mixture ReplacementQAMCQMedium
- #835Particle Growth SequenceQAMCQHard
- #836Non-decreasing Sequence AveragesQATITAHard
- #837Roots of Cubic PolynomialQAMCQMedium
- #838Functional Equation and CompositionQATITAHard
- #839Election Votes DistributionQAMCQEasy
- #840Forming Integers Greater Than 2000QAMCQMedium
- #841Divisibility of FactorialsQAMCQMedium
- #842Logarithmic Inequality Integer SolutionsQATITAHard
- #843Exam Scoring OptimizationQAMCQMedium
- #844Student Marks Range OptimizationQAMCQHard
- #845Number of Integer SolutionsQATITAMedium
- #846Simple Interest Capital RecoveryQATITAEasy
- #847Sum of First N Terms of APQAMCQMedium
- #848Quadratic Polynomial PropertiesQAMCQEasy
- #849Point Division in Equilateral TriangleQAMCQMedium
- #850Perpendicular Motion of ShipsQAMCQEasy
- #851Coordinates of Fourth Vertex of ParallelogramQAMCQEasy
- #852Distributing Identical BalloonsQATITAMedium
- #853Ratio of Lemon Juice and Sugar SyrupQAMCQEasy
- #854Minimum Value of xyzQATITAMedium
- #855Set of Integers Satisfying Quadratic InequalityQAMCQMedium
- #856Travel Time of Trains Meeting Each OtherQAMCQMedium
- #857Minimum Possible Value of Natural Number nQAMCQMedium
- #858Maximum Persons Standing Ahead in QueueQATITAMedium
- #859Cost of Almonds in Nut MixtureQAMCQHard
- #860Largest Value of a for Infinite SolutionsQAMCQMedium
- #861Area of TrapeziumQATITAMedium
- #862Sum of Greatest Integer FunctionsQATITAHard
- #863Literate and Illiterate PopulationQATITAMedium
- #864Cost Price of Syrup per kgQATITAHard
- #865Algebraic Value of 2a + bQAMCQEasy
- #866Percentage Investment in First PartQAMCQEasy
- #867Venn Diagram of Beverage PreferencesQAMCQHard
- #868Smallest n for Divisibility in APQAMCQMedium
- #869Area of Rectangle Inscribed in CircleQAMCQMedium
- #870Ratio of Original to New StudentsQAMCQEasy
- #871Largest Integer Divisors Sum A + BQATITAHard
- #872Maximum Value of Modulus FunctionQAMCQHard
- #885Blackboard Number OperationsQAMCQEasy
- #886Last Two Digits of PowerQAMCQEasy
- #887Minimum Value of Polynomial CoefficientQAMCQMedium
- #888Rice Shop CustomersQAMCQMedium
- #889Quadratic Function Roots and CoefficientsQASET · 2QMedium
- #890Common Terms in Arithmetic ProgressionsQAMCQMedium
- #891Forming Integers with Specific DigitsQAMCQEasy
- #892Town Plan Shortest PathsQASET · 2QHard
- #893Functional EquationQAMCQEasy
- #894Digit Sum Seed FunctionQAMCQMedium
- #895Circumradius of TriangleQAMCQMedium
- #896Obtuse-Angled Triangles CountQAMCQMedium
- #897Area Ratio in Square with Intersecting AnglesQAMCQHard
- #898Number of Distinct Terms in ExpansionQAMCQEasy
- #900Single Elimination TournamentQASET · 2QHard
- #901Intersecting Circles Overlap AreaQAMCQMedium
- #902Rahim's Travel TimeQAMCQHard
- #903Powers of Three Consecutive IntegersQAMCQMedium
- #904Sum of Square Root SeriesQAMCQHard
- #905Largest Surface Area of Cylinder in ConeQAMCQHard
- #937Difference between averages of odd and even numbers in a setQAMCQEasy
- #938Average age of a joint family over timeQAMCQMedium
- #939Function defined by sum of termsQAMCQMedium
- #940Number of ways to pay a bill with given currency denominationsQAMCQEasy
- #941Transposed rupees and paise cheque problemQAMCQMedium
- #942Number of integral pairs satisfying reciprocal equationQAMCQHard
- #943Data Sufficiency - Weight of a student after swappingQAMCQMedium
- #944Data Sufficiency - Spherical tank water capacityQAMCQMedium
- #945Data Sufficiency - Minimum value of sum of squaresQAMCQEasy
- #946Data Sufficiency - Drawing a square with a point on a sideQAMCQMedium
- #947Airline flight scheduling between two citiesQASET · 2QMedium
- #948Investment choices for surplus cashQASET · 2QMedium
- #949Friends and enemies in pairs set SQASET · 2QHard
- #950Total participants in tournament teamsQAMCQMedium
- #951Four-digit perfect squares with repeated digitsQAMCQMedium
- #952Daily production cost and profit maximizationQASET · 2QHard
- #953Date of equal tea pricesQAMCQMedium
- #954Smallest range of angle between intersecting circlesQAMCQMedium
- #955Quadratic function maximum valueQAMCQEasy
- #956Recursive sequence propertiesQASET · 2QHard
- #1001Ratio Product EvaluationQAMCQEasy
- #1002Smallest Value for Negative FractionQAMCQEasy
- #1003Sequence Product TelescopingQAMCQEasy
- #1004Comparison of SurdsQAMCQEasy
- #1005Wall Area Percentage ChangeQAMCQEasy
- #1006Venn Diagram Magazine ReadershipQAMCQMedium
- #1007Semicircle Area with Perpendicular ChordQAMCQMedium
- #1008Airline Excess Luggage AllowanceQASET · 2QMedium
- #1009Child Photograph RowsQAMCQMedium
- #1010Punched Circular Hole in Square SheetQASET · 2QHard
- #1011Solving Fractional Exponent InequalityQAMCQMedium
- #1012Arithmetic Progressions in SetQAMCQMedium
- #1013Coordinate Transformation GraphQAMCQMedium
- #1014Sum of Consecutive Odd NumbersQAMCQEasy
- #1015Number of Integer Solutions with Inequality ConstraintQAMCQEasy
- #1016Prime Number of Employees RatioQAMCQEasy
- #1017Restricted Task AssignmentQAMCQMedium
- #1018Logarithm Product IdentityQAMCQMedium
- #1019System of Exponential EquationsQAMCQMedium
- #1020Minimum Value of Maximum FunctionQAMCQEasy
- #1021Reversing Digits IncreaseQAMCQEasy
- #1022Angle in Equilateral Triangle and SquareQAMCQMedium
- #1023Overtaking Time for Three TravelersQAMCQMedium
- #1024Remainder of sum of cubes divided by 70QAMCQEasy
- #1025Chemical plant tank emptyingQAMCQMedium
- #1026Area of common region between intersecting circlesQAMCQEasy
- #1027Relative speed on circular and rectangular tracksQAMCQMedium
- #1028Chess competition games between boys and girlsQAMCQEasy
- #1029Ram and Shyam Running RaceQASET · 2QMedium
- #1030Bounding exponential ratioQAMCQMedium
- #1031Distance between parallel chordsQAMCQEasy
- #1032Unique positive solution for system of equationsQAMCQHard
- #1033Remainder of factorial sumQAMCQMedium
- #1034Interior integer points of a triangleQAMCQMedium
- #1035Three digit number divisibility by 7QAMCQMedium
- #1036Sequence recurrence relation solutionQAMCQHard
- #1037Sum of units digits in conditional permutationsQAMCQHard
- #1038Rightmost non-zero digitQAMCQMedium
- #1039Minimum distance for ant avoiding repellentsQAMCQMedium
- #1040Bounds on logarithmic expressionQAMCQMedium
- #1041Product and sum of digits equationQAMCQMedium
- #1042Tiling a rectangular floorQAMCQMedium
- #1043Area bounded by absolute value equationQAMCQMedium
- #1044Length of segment in a circle geometry constructionQAMCQHard
- #1045Ratio of perimeters of similar trianglesQAMCQMedium
- #1046Perimeter of quadrilateral inscribed in circleQAMCQMedium
- #1047Numbers with odd digits divisible by 3QAMCQMedium
- #1048Infinite nested radical evaluationQAMCQMedium
- #1049Periodicity of a functional equationQAMCQHard
- #1050Cost minimization in call center hiringQAMCQHard
- #1051Minimum phone calls for secret exchangeQAMCQHard
- #1052Grid boundary vs interior tilesQAMCQMedium
- #1083Two Boats Approaching Each OtherQAMCQEasy
- #1084Proportional Rectangular Sheet FoldingQAMCQMedium
- #1085Sum of First 30 Terms of an APQAMCQEasy
- #1086Cycling Speed to Arrive at NoonQAMCQEasy
- #1087Continued Fraction EvaluationQAMCQMedium
- #1088Non-Adjacent Pairs Singing in CircleQAMCQMedium
- #1089Integer Pairs Satisfying x + y = xyQAMCQEasy
- #1090Remainder of Exponential SumQAMCQEasy
- #1091Flag Stripe Coloring CombinationsQAMCQEasy
- #1096Basic Symbol Numeral SystemQASET · 3QEasy
- #1097Connecting Towns with Direct Telephone LinesQAMCQMedium
- #1098Car Approaching a TowerQAMCQMedium
- #1099Remainder of $4^{96}$ divided by 6QAMCQEasy
- #1101Number of Non-Negative Real RootsQAMCQMedium
- #1102Intersection of Logarithmic and Reciprocal CurvesQAMCQMedium
- #1103Sphere Surface Area and Volume Percentage DifferenceQAMCQMedium
- #1104Consistency Condition for Linear EquationsQAMCQHard
- #1105Machine Constraints and Profit MaximizationQAMCQMedium
- #1106Arithmetic Progression Terms SumQAMCQEasy
- #1109Ages of Two Boys and ParentsQAMCQMedium
- #1110Triplets of Real NumbersQAMCQEasy
- #1111Length of Angle Bisector in a TriangleQAMCQMedium
- #1112Logarithmic IdentityQAMCQEasy
- #1113Sum of Infinite SeriesQAMCQHard
- #1114Remainder of Power DivisionQAMCQEasy
- #1115Divisibility of Exponential DifferenceQAMCQMedium
- #1123Recurring Decimal Integer MultiplierQAMCQEasy
- #1124Finding Relation Between x and yQAMCQMedium
- #1125Recursive Sequence TermQAMCQMedium
- #1126Sum of Fractional SeriesQAMCQMedium
- #1127Truck Fuel Consumption and DistanceQAMCQEasy
- #1128Average of Consecutive IntegersQAMCQEasy
- #1129Inequality Condition for Real NumbersQAMCQEasy
- #1130Arrangement of Coloured FlagsQAMCQHard
- #1131Count of Numbers Satisfying ConditionsQAMCQMedium
- #1132Parity of Odd Integer OperationsQAMCQEasy
- #1133Trailing Zeros of Prime ProductQAMCQEasy
- #1134Number of Triangles with Integral SidesQAMCQMedium
- #1135Remainder of Product Divided by 12QAMCQEasy
- #1136Common Remainder Three-Digit DivisorQAMCQMedium
- #1137Parity Condition on Sequence of 1 and -1QAMCQHard
- #1138Divisibility of Algebraic Sum of CubesQAMCQMedium
- #1139Sum of Absolute ValuesQAMCQMedium
- #1140Opposite Side Equation of RhombusQAMCQMedium
- #1165Diophantine Equation: Positive Integer PairsQAMCQMedium
- #1166Digits and Perfect SquaresQAMCQMedium
- #1167Modular Arithmetic RemainderQAMCQEasy
- #1168Combinatorics: Triangles from PointsQAMCQEasy
- #1169Combinatorics: Selection of CandidatesQAMCQMedium
- #1170Proportion: Train Speed and CompartmentsQAMCQMedium
- #1171Linear Function: Boarding House ExpensesQAMCQEasy
- #1172Percentages: Company Salary DistributionQAMCQMedium
- #1173Absolute Value Equations: Minimum RatioQAMCQEasy
- #1174Properties of Integers: Product of 4 Consecutive IntegersQAMCQMedium
- #1179Time and Work - Cans PreparationQAMCQEasy
- #1180Properties of Numbers - Parity of ExponentsQAMCQEasy
- #1181Geometry - Perimeter of Triangle of Circle CentersQAMCQMedium
- #1182Alphametic / Number PuzzleQAMCQMedium
- #1183Time, Speed, Distance - Variable Speed Meeting PointQAMCQMedium
- #1184Tethered Cow Grazing AreaQASET · 2QHard
- #1186Number System - Last Digit of PowerQAMCQEasy
- #1187Divisibility Rule of 8QAMCQEasy
- #1188Round-Robin Tournament Scoring LogicQAMCQMedium
- #1191Passing status across five subjectsQAMCQMedium
- #1192Round table seating with constraintsQAMCQMedium
- #1193Logarithmic EquationQAMCQEasy
- #1194Markup percentage calculationQAMCQMedium
- #1195Integral values of an algebraic expressionQAMCQMedium
- #1196Roots of Quadratic EquationQAMCQMedium
- #1197Ratio of radii of touching circlesQAMCQMedium
- #1198Comparison of exponentsQAMCQEasy
- #1213Divisibility Rules for 8 and 9QAMCQMedium
- #1214Quadratic InequalityQAMCQEasy
- #1215Painted CubeQAMCQEasy
- #1216Geometry - Angle in Square and Equilateral TriangleQAMCQMedium
- #1217Faulty Scale Profit PercentageQAMCQMedium
- #1218Proportional Cost of DiamondQAMCQMedium
- #1219Divisibility of Odd PolynomialQAMCQMedium
- #1220Area of Triangle in Semi-circleQAMCQEasy
- #1221Net Percentage Change in RevenueQAMCQEasy
- #1222Combinatorics - Inviting FriendsQAMCQEasy
- #1224Data Sufficiency - Tractor WheelsQAMCQMedium
- #1225Data Sufficiency - Selling PriceQAMCQEasy
- #1230Sum of Perimeters of Triangles in SquareQAMCQMedium
- #1231Divisibility of ExponentsQAMCQEasy
- #1232Appreciation ExchangeQAMCQMedium
- #1234Algebraic SimplificationQAMCQEasy
- #1235Remainder of Prime Number Divided by 6QAMCQEasy
- #1236Ratio of Area of Circle to SquareQAMCQMedium
- #1237Custom Functions DefinitionQASET · 2QMedium
- #1242Data Sufficiency: Value of XQAMCQEasy
- #1243Linear Equations: Price of FruitsQAMCQEasy
- #1244Properties of Odd IntegersQAMCQEasy
- #1245Elimination Tournament MatchesQAMCQEasy
- #1246Concentric Circles TangentQAMCQMedium
- #1247Inclusion-Exclusion PrincipleQAMCQMedium
- #1248Symmetry of FunctionsQAMCQEasy
- #1249LCM with RemainderQAMCQEasy
- #1250Trailing Zeros in 100!QAMCQMedium
- #1263Data Sufficiency - Profitability of ProductsQAMCQMedium
- #1264Data Sufficiency - Prime Number PropertiesQAMCQEasy
- #1265Self-Reflecting FunctionsQAMCQMedium
- #1266System of Linear Equations with No SolutionQAMCQEasy
- #12673-Digit Even Numbers with Conditional DigitsQAMCQMedium
- #1268Network Paths CountQAMCQMedium
- #1269Ratio of Inscribed to Circumscribed Circle AreasQAMCQEasy
- #1270School Amenities Venn DiagramQASET · 2QMedium
- #1271Time, Speed, Distance - Early DepartureQAMCQHard
- #1275Exam Marks ProportionQAMCQEasy
- #1276Octagon Formed by Cutting Corner of SquareQAMCQMedium
- #1277Properties of Odd and Even IntegersQAMCQEasy
- #1278Inequality EvaluationQAMCQEasy
- #1279Flashing Lights LCMQAMCQEasy
- #1280Pigeonhole Principle with Orange BoxesQAMCQMedium
- #1281Circular Wall and Gate SightlineQAMCQHard
- #1282Batting Average MeasuresQASET · 2QMedium
- #1283Palto Car Fuel ConsumptionQASET · 2QMedium
- #1286Distribution of balloons, pencils, and erasersQATITAMedium
- #1287Logarithmic equation solvingQATITAMedium
- #1288Pair of non-linear equationsQAMCQMedium
- #1289Milk and water replacementQATITAMedium
- #1290Crossing trains speed and length ratioQAMCQHard
- #1291Painting work and share of paymentQAMCQEasy
- #1292White and black metallic ballsQATITAEasy
- #1293Profit sharing and investmentQAMCQHard
- #1294Longer diagonal of a rhombusQAMCQMedium
- #1295Positive integers in AP product conditionQAMCQMedium
- #1296Area of triangle ratioQATITAMedium
- #1297Highest possible 4-digit numberQATITAMedium
- #1298Range of rational functionQAMCQMedium
- #1299Football goals average calculationQATITAEasy
- #1300Number of integer values of expressionQATITAHard
- #1301Absolute value inequality rangeQAMCQMedium
- #1302Area of trapezium ABCDQAMCQEasy
- #1303Investment loss and growth percentageQAMCQMedium
- #1304Quadratic equation roots and coefficient ratioQAMCQEasy
- #1305Alternating sum of sequenceQAMCQMedium
- #1306Pipes filling and draining a tankQAMCQMedium
- #1307Tea mixture pricing for profitQAMCQEasy