GATE Statistics 2024
65 questions, booklet ST2024.
Section GA · General Aptitude (Q1–Q10) · Q1–10
Practise this section →- 1Intensity analogy for walk-jog-sprintGeneral AptitudeVerbal AptitudeEasy
- 2Counting all element mix ordersGeneral AptitudeQuantitative AptitudeEasy
- 3Core and other branch likersGeneral AptitudeQuantitative AptitudeEasy
- 4Value from a logarithmic mean identityGeneral AptitudeQuantitative AptitudeMedium
- 5Missing term of a number seriesGeneral AptitudeQuantitative AptitudeEasy
- 6Sequencing a Himalaya geology passageGeneral AptitudeVerbal AptitudeEasy
- 7Net profit on two equal-price itemsGeneral AptitudeQuantitative AptitudeEasy
- 8Growth in renewable energy shareGeneral AptitudeQuantitative AptitudeMedium
- 9Straight cuts to halve a cubeGeneral AptitudeSpatial AptitudeMedium
- 10Sum of last row in a cross gridGeneral AptitudeAnalytical AptitudeMedium
Section ST · Statistics (Q11–Q65) · Q11–65
Practise this section →- 11Double integral over a parabolic capAnalysisCalculusMedium
- 12Monotone square-root recursion limitAnalysisCalculusMedium
- 13False RREF and eigenvalue statementLinear AlgebraMatrix TheoryMedium
- 14Dimension statements for spanned subspacesLinear AlgebraMatrix TheoryHard
- 15Inner products fixing a vectorLinear AlgebraMatrix TheoryEasy
- 16Null space of a rank-one matrixLinear AlgebraMatrix TheoryMedium
- 17Fourth MGF derivative at the originProbabilityProbabilityMedium
- 18Independence of two dice eventsProbabilityProbabilityMedium
- 19Beta moments pin down parametersProbabilityProbabilityMedium
- 20Equal cdfs and dependenceProbabilityProbabilityHard
- 21Pointwise limit of spreading cdfsProbabilityConvergence of Random VariablesEasy
- 22Brownian motion covariance checkStochastic ProcessesStochastic ProcessesEasy
- 23Conditional distributions of binomial sumsStatistical InferenceEstimationMedium
- 24MLE of a two-sided power densityStatistical InferenceEstimationMedium
- 25Type-II error definitionStatistical InferenceTesting of HypothesesEasy
- 26Chi-square goodness of fit statisticStatistical InferenceTesting of HypothesesEasy
- 27Sign test p-value from the observed tailStatistical InferenceTesting of HypothesesMedium
- 28Covariance of sample mean and slopeLinear Models & RegressionRegression AnalysisEasy
- 29Unbiasedness of SSE and regression SSLinear Models & RegressionRegression AnalysisHard
- 30Radius of convergence via limsupAnalysisTesting of HypothesesEasy
- 31Poisson mode from a probability ratioProbabilityProbabilityMedium
- 32Minimum of three beta variablesProbabilityProbabilityEasy
- 33Conditional variance ratio for bivariate normalProbabilityJoint DistributionsMedium
- 34Neyman-Pearson critical constant for varianceStatistical InferenceTesting of HypothesesHard
- 35Least squares slope through the originLinear Models & RegressionRegression AnalysisEasy
- 36Classifying the critical points of fAnalysisCalculusHard
- 37Partials of a homogeneous cubic quotientAnalysisCalculusHard
- 38Probability of a squared transformationProbabilityProbabilityMedium
- 39Piecewise power density momentsProbabilityProbabilityHard
- 40Memoryless waiting time at a counterStochastic ProcessesStochastic ProcessesMedium
- 41Conditional mean of an odd uniformProbabilityProbabilityMedium
- 42Weighted normal sum and probit momentProbabilityProbabilityHard
- 43Shifted exponential mean and minimumProbabilityConvergence of Random VariablesMedium
- 44Consistency of a drifting Poisson averageStatistical InferenceEstimationMedium
- 45Wishart law of a quadratic formMultivariate AnalysisMultivariate AnalysisMedium
- 46Joint region and coefficient covarianceLinear Models & RegressionRegression AnalysisMedium
- 47Continuous function statements on an intervalAnalysisCalculusHard
- 48Symmetric, skew-symmetric and singular value claimsLinear AlgebraMatrix TheoryHard
- 49Diagonalizability claims for triangular matricesLinear AlgebraMatrix TheoryHard
- 50Tail limits of a dyadic distributionProbabilityProbabilityMedium
- 51Parabolic support joint density statementsProbabilityJoint DistributionsMedium
- 52Exponentials with vanishing meansProbabilityConvergence of Random VariablesMedium
- 53Classes of a three-state chainStochastic ProcessesStochastic ProcessesHard
- 54Unbiasedness for a Poisson sampleStatistical InferenceEstimationMedium
- 55Bernoulli U-statistic statementsStatistical InferenceEstimationHard
- 56UMP test for an exponential meanStatistical InferenceTesting of HypothesesHard
- 57Mann-Whitney decision from tail boundsNon-parametric InferenceTesting of HypothesesHard
- 58Deprojecting a bivariate normal componentMultivariate AnalysisMultivariate AnalysisMedium
- 59Characteristic polynomial of an inverse matrixLinear AlgebraMatrix TheoryMedium
- 60Two-step mean of a Markov chainStochastic ProcessesStochastic ProcessesMedium
- 61Mixed moment from a factored MGFProbabilityJoint DistributionsMedium
- 62Method of moments for pothole rateStochastic ProcessesStochastic ProcessesEasy
- 63Type-I error of a max testStatistical InferenceTesting of HypothesesMedium
- 64Power of an LRT at the observed meanStatistical InferenceTesting of HypothesesMedium
- 65R-squared threshold for an F testLinear Models & RegressionRegression AnalysisMedium