GATE Syllabus 2025: Check Important Topics and Latest Exam Pattern

GATE Exam Pattern 2025

Exam mode

Computer Based Test (CBT). The test papers will be in English.

Duration

3 hours

Number of subjects (papers)

30 test papers

Section 

General Aptitude (GA) + Candidate’s Selected Subject(s)

Type of questions

(a) Multiple Choice Questions (MCQ)

(b) Multiple Select Questions (MSQ)

(c) Numerical Answer Type (NAT)

Test of Abilities

Recall

Comprehension

Application

Analysis and Synthesis

No. of questions

10 (General Aptitude) + 55 (Subject) = 65 Questions

Distribution of Marks# in all papers EXCEPT AR, CY, DA, EY, GG, MA, PH, ST, XH and XL

General Aptitude: 15 marks +

Engineering Mathematics**: 13 marks +

Subject Questions: 72 marks =

Total: 100 marks

(**XE includes an Engineering Mathematics section XE-A of 15 marks)

Distribution of Marks# in papers AR, CY, DA, EY, GG, MA, PH, ST, XH and XL

General Aptitude: 15 marks +

Subject Questions: 85 marks =

Total: 100 marks

Marking scheme

Questions carry 1 mark and 2 marks

GATE Negative Marking

For a wrong answer chosen in an MCQ, there will be a negative marking.

For 1-mark MCQ, 1/3 mark will be deducted for an incorrect answer.

Likewise, for 2-mark MCQ, the 2/3 mark will be deducted for an incorrect answer.

There is no negative marking for incorrect answer(s) to MSQ and NAT questions.

There is no partial marking for any question

Subject

Topics

Verbal Aptitude

Basic English grammar: tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech

Basic vocabulary: words, idioms, and phrases in context.

Reading and comprehension, Narrative sequencing.

Quantitative Aptitude

Data interpretation: data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables

Numerical computation and estimation: ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series Mensuration and geometry Elementary statistics and probability.

Analytical Aptitude

Logic: deduction and induction, Analogy, Numerical relations and reasoning.

Spatial Aptitude

Transformation of shapes: translation, rotation, scaling, mirroring, assembling, and grouping paper folding, cutting, and patterns in 2 and 3 dimensions

Section

Topics

Section 1: Linear Algebra

Algebra of real matrices: Determinant, inverse and rank of a matrix; System of linear equations (conditions for unique solution, no solution and infinite number of solutions); Eigen values and eigen vectors of matrices; Properties of eigen values and eigen vectors of symmetric matrices, diagonalization of matrices; Cayley-Hamilton Theorem.

Section 2: Calculus

Functions of Single Variable: Limit, indeterminate forms and L'Hospital's rule; Continuity and differentiability; Mean value theorems; Maxima and minima; Taylor's theorem; Fundamental theorem and mean value theorem of integral calculus; Evaluation of definite and improper integrals; Applications of definite integrals to evaluate areas and volumes (rotation of a curve about an axis).

Functions of Two Variables: Limit, continuity and partial derivatives; Directional derivative; Total derivative; Maxima, minima and saddle points; Method of Lagrange multipliers; Double integrals and their applications.

Sequences and Series: Convergence of sequences and series; Tests of convergence of series with non-negative terms (ratio, root and integral tests); Power series; Taylor's series; FourierSeries of functions of period 2π.

Section 3: Vector Calculus

Gradient, divergence and curl; Line integrals and Green's theorem.

Section 4: Complex variables

Complex numbers, Argand plane and polar representation of complex numbers; De Moivre’s theorem; Analytic functions; Cauchy-Riemann equations.

Section 5: Ordinary Differential Equations

First-order equations (linear and nonlinear); Second order linear differential equations with constant coefficients; Cauchy-Euler equation; Second order linear differential equations with variable coefficients; Wronskian; Method of variation of parameters; Eigen value problem for second order equations with constant coefficients; Power series solutions for ordinary points.

Section 6: Partial Differential Equations

Classification of second order linear partial differential equations; Method of separation of variables: One dimensional heat equation and two dimensional Laplace equation

Section 7: Probability and Statistics

Axioms of probability; Conditional probability; Bayes' Theorem; Mean, variance and standard deviation of random variables; Binomial, Poisson and Normal distributions; Correlation and linear regression.

Section 8: Numerical Methods

Solution of systems of linear equations using LU decomposition, Gauss elimination method; Lagrange and Newton's interpolations; Solution of polynomial and transcendental equations by Newton-Raphson method; Numerical integration by trapezoidal rule and Simpson's rule; Numerical solutions of first-order differential equations by explicit Euler's method.

Paper

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Aerospace Engineering

Geology & Geophysics

Agricultural Engineering

Instrumentation Engineering

Architecture and Planning

Mathematics

Biomedical Engineering

Mechanical Engineering

Biotechnology

Mining Engineering

Civil Engineering

Metallurgical Engineering

Chemical Engineering

Naval Architecture & Marine Engineering

Computer Science & Information Technology

Petroleum Engineering

Chemistry

Physics

Data Science & Artificial Intelligence

Production & Industrial Engineering

Electronics & Communication Engineering

Statistics

Electrical Engineering

Textile Engineering & Fibre Science

Environmental Science & Engineering

Engineering Sciences

Ecology and Evolution

Humanities & Social Sciences

Geomatics Engineering

Life Sciences

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