GATE Statistics 2026
65 questions, booklet ST2026.
Section GA · General Aptitude (Q1–Q10) · Q1–10
Practise this section →- 1Antonym of protagonistGeneral AptitudeVerbal AptitudeEasy
- 2Tiling with 2x2 and 1x4 blocksGeneral AptitudeSpatial AptitudeMedium
- 3Knock-out tournament gamesGeneral AptitudeQuantitative AptitudeEasy
- 4Maximum elective creditsGeneral AptitudeQuantitative AptitudeEasy
- 5Converse vs contrapositiveGeneral AptitudeAnalytical AptitudeEasy
- 6Inference from a passageGeneral AptitudeAnalytical AptitudeMedium
- 7Front and top views of a structureGeneral AptitudeSpatial AptitudeMedium
- 8Piecewise linear function from a graphGeneral AptitudeQuantitative AptitudeMedium
- 9Javelin rounds logicGeneral AptitudeAnalytical AptitudeMedium
- 10Multiple on a second die rollGeneral AptitudeQuantitative AptitudeMedium
Section ST · Statistics (Q11–Q65) · Q11–65
Practise this section →- 11Integral of 1/p(t) on [1/2, 1)AnalysisCalculusEasy
- 12Sign of a differentiable functionAnalysisCalculusHard
- 13Dimension of intersection of two hyperplanesLinear AlgebraMatrix TheoryEasy
- 14Discrete variables from MGFs of X and X+YProbabilityEstimationMedium
- 15Correlation in terms of E(X-Y)^2ProbabilityJoint DistributionsEasy
- 16Mean of iid normals from tail probabilitiesProbabilityStandard Univariate DistributionsMedium
- 17E(ln X) for a Gamma variableProbabilityProbabilityMedium
- 18Transient state in a Markov chainStochastic ProcessesStochastic ProcessesMedium
- 19Minimal sufficient statistic for a Weibull shapeStatistical InferenceEstimationHard
- 20Estimator attaining the Cramer-Rao boundStatistical InferenceEstimationEasy
- 21Properties of UMP testsStatistical InferenceTesting of HypothesesEasy
- 22Concordance probability for independent pairsProbabilityProbabilityMedium
- 23Properties of the empirical cdfNon-parametric InferenceNon-parametric StatisticsMedium
- 24Limit of a shrinking integralAnalysisCalculusMedium
- 25Parameter for no solutionLinear AlgebraMatrix TheoryEasy
- 26Dimension of an orthogonal complementLinear AlgebraMatrix TheoryEasy
- 27Geometrically growing pmfProbabilityProbabilityEasy
- 28Variance sum from a joint densityProbabilityJoint DistributionsMedium
- 29Moment of the minimum of exponentialsProbabilityJoint DistributionsEasy
- 30Mean of -3 ln F(X)ProbabilityProbabilityEasy
- 31Correlation of overlapping Brownian sumsStochastic ProcessesStochastic ProcessesMedium
- 32Method of moments for a Gamma shapeStatistical InferenceEstimationEasy
- 33Confidence bound from a pivotal minimumStatistical InferenceEstimationHard
- 34UMP test power for a shifted uniformStatistical InferenceTesting of HypothesesMedium
- 35Conditional variance in a trivariate normalMultivariate AnalysisMultivariate AnalysisMedium
- 36Quartic plus quadratic in two variablesAnalysisCalculusMedium
- 37Convergence of x{n+1} = 2 - sqrt(4 - xn)AnalysisCalculusMedium
- 38Complex eigenpairs of a real matrixLinear AlgebraMatrix TheoryHard
- 39Singular 3x3 systemLinear AlgebraMatrix TheoryMedium
- 40Complementary Bernoulli variablesProbabilityProbabilityMedium
- 41Conditional expectation given a sum of geometric variablesProbabilityProbabilityMedium
- 42Memoryless discrete distributionProbabilityProbabilityMedium
- 43Sufficiency of sample statisticsStatistical InferenceEstimationMedium
- 44LRT: normal vs double exponentialStatistical InferenceTesting of HypothesesMedium
- 45UMP test for a beta-type densityStatistical InferenceTesting of HypothesesMedium
- 46Sign test for a medianNon-parametric InferenceTesting of HypothesesMedium
- 47Quadratic form of a difference of normalsMultivariate AnalysisMultivariate AnalysisMedium
- 48R^2 consistent with a rejected F-testLinear Models & RegressionRegression AnalysisMedium
- 49Cubic over a norm: differentiabilityAnalysisCalculusHard
- 50Jordan-like triangular matrixLinear AlgebraMatrix TheoryHard
- 51Level set of an indefinite quadratic formLinear AlgebraMatrix TheoryHard
- 52Survival-sum moment identitiesProbabilityProbabilityHard
- 53Geometric scaling limitProbabilityConvergence of Random VariablesMedium
- 54CLT and Slutsky for a mixed sumProbabilityConvergence of Random VariablesHard
- 55Poisson process first arrival momentsStochastic ProcessesStochastic ProcessesMedium
- 56MLE for a Laplace locationStatistical InferenceEstimationHard
- 57Existence of a UMP testStatistical InferenceTesting of HypothesesHard
- 58Orthogonal transformation of a multivariate normalMultivariate AnalysisMultivariate AnalysisMedium
- 59Properties of a centered multivariate normalMultivariate AnalysisMultivariate AnalysisMedium
- 60Projection quadratic forms for N3(0, I3)Multivariate AnalysisMultivariate AnalysisHard
- 61Convergence of a radial singular integralAnalysisCalculusMedium
- 62Fourth moment times centered first momentProbabilityEstimationMedium
- 63Tie probability for overlapping minimaProbabilityProbabilityMedium
- 64Unbiased estimator through the maximumStatistical InferenceEstimationHard
- 65Size and power of a one-sided UMP testStatistical InferenceTesting of HypothesesMedium