GATE Data Science and Artificial Intelligence 2026
65 questions, booklet DA2026.
Section GA · General Aptitude (Q1–Q10) · Q1–10
Practise this section →- 1Antonym pair analogy for insolenceGeneral AptitudeVerbal AptitudeEasy
- 2Sum of digits from a given digit productGeneral AptitudeQuantitative AptitudeEasy
- 3Assembling four silhouette pieces into a figureGeneral AptitudeSpatial AptitudeMedium
- 4Comparing n^log(m) and m^log(n)General AptitudeQuantitative AptitudeEasy
- 5Truth implied by a counterfactual conditionalGeneral AptitudeVerbal AptitudeMedium
- 6Correct prepositions to fill three blanksGeneral AptitudeVerbal AptitudeEasy
- 7Counting integer multisets with fixed mean median modeGeneral AptitudeAnalytical AptitudeHard
- 8Chess knockout puzzle among four classmatesGeneral AptitudeAnalytical AptitudeHard
- 9Digit puzzle with consecutive two-digit squaresGeneral AptitudeAnalytical AptitudeHard
- 10Area of a kite-shaped region inside a circleGeneral AptitudeSpatial AptitudeMedium
Section DA · Data Science and Artificial Intelligence (Q11–Q65) · Q11–65
Practise this section →- 11Angle between distinct principal componentsMachine LearningUnsupervised LearningEasy
- 12Number of LOOCV splits on the training setMachine LearningModel SelectionEasy
- 13Identifying the informed search algorithmArtificial IntelligenceSearchEasy
- 14Spotting the incorrect first-order logic translationArtificial IntelligenceLogicMedium
- 15Expected-time recurrence for quicksort with random pivot positionProgramming, Data Structures & AlgorithmsDivide and ConquerMedium
- 16Output of a function with a mutable default list argumentProgramming, Data Structures & AlgorithmsProgramming in PythonMedium
- 17Candidate keys from a functional dependency setDatabases & WarehousingRelational ModelMedium
- 18Identifying an OLAP drill-down operationDatabases & WarehousingData Warehouse ModellingEasy
- 19Probability that the product of a random subset is evenProbabilityDiscrete ProbabilityMedium
- 20Probability all parts of a random composition are positiveProbabilityCombinatoricsMedium
- 21High power of a 2x2 rotation matrixLinear AlgebraMatrix TheoryEasy
- 22Area of a ball intersected with a 2D subspaceLinear AlgebraSubspacesEasy
- 23Matching ML tasks to the correct algorithmsMachine LearningAlgorithms for ML TasksMedium
- 24Equivalent formulations of sentence entailmentArtificial IntelligenceLogicMedium
- 25Properties of a binary tree from its pre-order and in-order traversalsProgramming, Data Structures & AlgorithmsTreesMedium
- 26SQL operations that can never break a foreign key constraintDatabases & WarehousingRelational ModelMedium
- 27Roots and extrema of a cubic function on a half-open intervalAnalysisFunctions of a Single VariableHard
- 28Comparing tails of the normal and t1 (Cauchy) distributionsProbabilityStandard DistributionsHard
- 29Parameter after one SGD step on a linear objectiveMachine LearningOptimisationEasy
- 30Optimal move for MAX in a two-ply minimax game treeArtificial IntelligenceAdversarial SearchMedium
- 31Worst-case comparisons for an unsuccessful ternary-outcome binary searchProgramming, Data Structures & AlgorithmsSearch AlgorithmsMedium
- 32Fan-out of a non-leaf B+ tree node given byte sizesDatabases & WarehousingIndexingMedium
- 33Number of self-inverse permutations (involutions) of 4 elementsAnalysisCombinatoricsMedium
- 34Conditional survival probability of an exponential variableProbabilityStandard DistributionsEasy
- 35Evaluating a product of two geometric seriesAnalysisSeriesEasy
- 36First merge in hierarchical clustering under Manhattan distanceMachine LearningUnsupervised LearningMedium
- 37Correct property of the Ridge Regression regularizerMachine LearningSupervised LearningMedium
- 38Correctly formalising a creativity-discipline-success ruleArtificial IntelligenceLogicHard
- 39Total function calls made computing a Fibonacci-like recursive functionProgramming, Data Structures & AlgorithmsRecursionMedium
- 40Reachability relationship between a graph and its edge-reversed graphProgramming, Data Structures & AlgorithmsGraph AlgorithmsHard
- 41Root key(s) after an insertion that splits a B+ tree leafDatabases & WarehousingIndexingHard
- 42Evaluating a filtered join-based relational algebra expressionDatabases & WarehousingRelational ModelHard
- 43Total number of cuboids from three 3-level concept hierarchiesDatabases & WarehousingData Warehouse ModellingEasy
- 44Variance of a transformed Bernoulli times Normal variableProbabilityRandom VariablesEasy
- 45Limit of the Poisson CDF evaluated at its own meanProbabilityStandard DistributionsHard
- 46Solving for angle t from a sum of eigenvaluesLinear AlgebraMatrix TheoryMedium
- 47Accuracy, precision and recall from an author-classification confusion matrixMachine LearningModel EvaluationMedium
- 48Determining which first-order logic implications are not validArtificial IntelligenceLogicMedium
- 49Comparing bubble sort and insertion sort behaviour on a nearly sorted arrayProgramming, Data Structures & AlgorithmsBasic Sorting AlgorithmsMedium
- 50Behaviour of closures created by separate calls to an outer functionProgramming, Data Structures & AlgorithmsProgramming in PythonMedium
- 51Identifying correct SQL to compute team sizes per employeeDatabases & WarehousingSQLMedium
- 52Properties of the projection (centering) matrixLinear AlgebraMatrix TheoryMedium
- 53Distributional results for sums of squared standard normal variablesProbabilityStandard DistributionsMedium
- 54Correct general properties of a discrete CDFProbabilityRandom VariablesEasy
- 55Regularized loss for a single prediction under ridge regression with MAEMachine LearningSupervised LearningMedium
- 56Number of weights in a bias-free multi-layer perceptronMachine LearningNeural NetworksEasy
- 57Applying Bayes' theorem to a medical testProbabilityBayes TheoremMedium
- 58Total swap count from repeatedly running one bubble-sort passProgramming, Data Structures & AlgorithmsBasic Sorting AlgorithmsHard
- 59Counting tuples satisfying a tuple relational calculus formulaDatabases & WarehousingRelational ModelMedium
- 60Counting rows returned by a rank-comparison SQL queryDatabases & WarehousingSQLMedium
- 61Minimum number of 3NF relations for an ER model with a multi-valued attribute and an M:N relationshipDatabases & WarehousingER ModelHard
- 62Recovering the sample variance from a sum of squared pairwise differencesProbabilityDescriptive StatisticsMedium
- 63Zero correlation from a symmetric conditional mean structureProbabilityRandom VariablesMedium
- 64Probability that a shared row-sum and column-sum both equal 3ProbabilityRandom VariablesHard
- 65Maximum eigenvalue of the centering projection matrixLinear AlgebraQuadratic FormsMedium