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GATE Data Science & AI

1
Year
1
Paper
65
Questions

Introduced in 2024. Probability and statistics, linear algebra, calculus and optimisation, Python programming with data structures and algorithms, databases and warehousing, machine learning, and AI (search, logic, reasoning under uncertainty).

Exam pattern

  • 65 questions, 100 marks, 3 hours: General Aptitude (Q1–10, 15 marks) + subject (Q11–65, 85 marks)
  • MCQ (one correct option), MSQ (one or more correct, all-or-nothing) and NAT (type a number)
  • Wrong MCQ answers cost 1/3 (1-mark) or 2/3 (2-mark); no negative marking for MSQ or NAT
  • On-screen virtual scientific calculator only

The most recent paper solved here, GATE 2026 Data Science and Artificial Intelligence (DA), ran to 65 questions: 10 in Section GA and 55 in Section DA.

Conducted by IISc and the IITs (organising institute rotates). Patterns change from year to year, so confirm the current one at gate2027.iitm.ac.in.

Topic analysis

How many questions each topic was worth, year by year, across the 1 solved GATE DA paper (65 questions). Sittings of the same year are counted together.

Questions per topic per year
Subject · topic2026Total
Probability1212
Random Variables44
Standard Distributions44
Bayes Theorem11
Combinatorics11
Descriptive Statistics11
Discrete Probability11
Databases & Warehousing1111
Relational Model44
Data Warehouse Modelling22
Indexing22
SQL22
ER Model11
General Aptitude1010
Analytical Aptitude33
Verbal Aptitude33
Quantitative Aptitude22
Spatial Aptitude22
Machine Learning99
Supervised Learning22
Unsupervised Learning22
Algorithms for ML Tasks11
Model Evaluation11
Model Selection11
Neural Networks11
Optimisation11
Programming, Data Structures & Algorithms99
Basic Sorting Algorithms22
Programming in Python22
Divide and Conquer11
Graph Algorithms11
Recursion11
Search Algorithms11
Trees11
Artificial Intelligence66
Logic44
Adversarial Search11
Search11
Linear Algebra55
Matrix Theory33
Quadratic Forms11
Subspaces11
Analysis33
Combinatorics11
Functions of a Single Variable11
Series11
All topics6565

Syllabus

From the IISc and the IITs (organising institute rotates) GATE 2027 DA syllabus. Always check it against the current notification.

Section 1

Probability and Statistics

Counting (permutation and combinations), probability axioms, Sample space, events, independent events, mutually exclusive events, marginal, conditional and joint probability, Bayes Theorem, conditional expectation and variance, mean, median, mode and standard deviation, correlation, and covariance, random variables, discrete random variables and probability mass functions, uniform, Bernoulli, binomial distribution, Continuous random variables and probability distribution function, uniform, exponential, Poisson, normal, standard normal, tdistribution, chi-squared distributions, cumulative distribution function, Conditional PDF, Central limit theorem, confidence interval, z-test, t-test, chi-squared test.

Section 2

Linear Algebra

Vector space, subspaces, linear dependence and independence of vectors, matrices, projection matrix, orthogonal matrix, idempotent matrix, partition matrix and their properties, quadratic forms, systems of linear equations and solutions; Gaussian elimination, eigenvalues and eigenvectors, determinant, rank, nullity, projections, LU decomposition, singular value decomposition.

Section 3

Calculus and Optimization

Functions of a single variable, limit, continuity and differentiability, Taylor series, maxima and minima, optimization involving a single variable.

Section 4

Programming, Data Structures and Algorithms

Programming in Python, basic data structures: stacks, queues, linked lists, trees, hash tables; Search algorithms: linear search and binary search, basic sorting algorithms: selection sort, bubble sort and insertion sort; divide and conquer: mergesort, quicksort; introduction to graph theory; basic graph algorithms: traversals and shortest path.

Section 5

Database Management and Warehousing

ER-model, relational model: relational algebra, tuple calculus, SQL, integrity constraints, normal form, file organization, indexing, data types, data transformation such as normalization, discretization, sampling, compression; data warehouse modelling: schema for multidimensional data models, concept hierarchies, measures: categorization and computations.

Section 6

Machine Learning

Supervised Learning: regression and classification problems, simple linear regression, multiple linear regression, ridge regression, logistic regression, k-nearest neighbour, naive Bayes classifier, linear discriminant analysis, support vector machine, decision trees, bias-variance trade-off, cross-validation methods such as leave-one-out (LOO) cross-validation, k-folds cross-validation, multi-layer perceptron, feed-forward neural network; Unsupervised Learning: clustering algorithms, k-means/k-medoid, hierarchical clustering, top-down, bottom-up: single-linkage, multiple-linkage, dimensionality reduction, principal component analysis.

Section 7

AI

Search: informed, uninformed, adversarial; logic, propositional, predicate; reasoning under uncertainty topics — conditional independence representation, exact inference through variable elimination, and approximate inference through sampling.