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GATE XEIISc Bengaluru and the seven older IITs, for NCB-GATE

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General Aptitude, Engineering Mathematics and every Engineering Sciences section, in 118 chapters.

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  • 118chapters
  • 65question full mock
  • 48syllabus sections
  • EN + हिंevery chapter in both

Exam pattern

GATE XE paper pattern

GATE Engineering Sciences

  • 65 questions
  • 100 marks
  • 180 minutes
  • a wrong MCQ costs a third of its marks, a wrong MSQ or NAT nothing
  • General Aptitude — 15 marks10 Qs
  • Engineering Sciences — 85 marks55 Qs

What you get

Everything for GATE XE, in one course

  • Chapters in English and Hindi118 chapters on the official syllabus, each ending in a quiz that explains every answer.
  • Mock tests in the real patternTimed and marked the way the exam is, negative marking included, with a section-by-section report.
  • Revision and weak-area analyticsSee which topics cost you marks, and revise them on a spaced schedule.
  • AI mentorPremiumAsk a doubt in English or Hindi, any hour, and get a plain answer.

Try it now

Try a real GATE XE question

A real question from the course. No sign-up needed.

From the chapter: Classification of Flows: Fluid, Viscosity, Newtonian and Non-Newtonian Behaviour, and Flow Regimes

Which statement correctly distinguishes a fluid from a solid?

Show the answer and why

Answer: C.

The defining property of a fluid is continuous deformation under any sustained shear stress. A fluid at rest can carry a normal stress, the pressure, so the claim that it carries no stress of any kind is the tempting but wrong one: it is only the shear stress that must vanish at rest. Fluids can be compressible and real fluids are viscous, so constant density and zero viscosity are not defining properties.

Syllabus

GATE XE syllabus, section by section

Open a section to see its chapters. General Aptitude’s first chapter is free.

General AptitudeFree chapter3 chapters
  1. Verbal Aptitude — Grammar, Usage, Vocabulary and ComprehensionFree
  2. Quantitative Aptitude — Ratios, Powers, Mensuration, Statistics and Data
  3. Analytical Aptitude — Number Relations, Analogy, Deduction and Induction
Engineering Mathematics20 chapters
  1. Linear Algebra — Rank, Consistency, Eigenvalues and Eigenvectors
  2. Matrices and Determinants
  3. Limits, Continuity and Differentiability
  4. Differentiation and Applications of Derivatives
  5. Integration and Definite Integrals
  6. Multivariable Calculus — Partial Derivatives, Maxima and Multiple Integrals
  7. Vector Calculus — Gradient, Divergence, Curl and the Three Theorems
  8. Complex Numbers and Quadratic Equations
  9. Complex Variables — Analytic Functions, Cauchy’s Theorems and Residues
  10. Differential Equations
  11. Differential Equations — Higher Order, Euler–Cauchy, Laplace and PDEs
  12. Transform Theory — Fourier Series, the Fourier Transform and the z-Transform
  13. Probability and Statistics
  14. Probability and Statistics — Random Variables, the Five Distributions and Bayes
  15. Numerical Methods — Roots, Quadrature and Stepping an ODE
  16. Sequences, Series, Power Series, Taylor's Theorem and the Mean Value Theorems
  17. Improper Integrals, Volumes of Revolution, Two-Variable Limits, Lagrange Multipliers and Double-Integral Applications
  18. Diagonalisation, Cayley-Hamilton, LU Solution, De Moivre's Theorem and Analytic Functions
  19. Ordinary and Partial Differential Equations: Nonlinear First Order, Wronskian, Variation of Parameters, Cauchy-Euler, Eigenvalue Problems, Power Series and Separation of Variables
  20. Axioms of Probability, the Normal Distribution, Correlation and Regression, Interpolation and Simpson's 3/8 Rule
Classification of Flows (XE1 Fluid Mechanics)1 chapter
  1. Classification of Flows: Fluid, Viscosity, Newtonian and Non-Newtonian Behaviour, and Flow Regimes
Hydrostatics (XE1 Fluid Mechanics)1 chapter
  1. Hydrostatics: Pressure, Manometry, Forces on Submerged Surfaces, Buoyancy and Stability
Kinematics of Fluid Motion (XE1 Fluid Mechanics)1 chapter
  1. Kinematics of Fluid Motion: Eulerian and Lagrangian Views, Material Derivative, Streamlines, Pathlines and Streaklines
Integral Analysis for a Control Volume (XE1 Fluid Mechanics)1 chapter
  1. Integral Analysis for a Control Volume: Reynolds Transport Theorem, Mass and Linear Momentum
Differential Analysis (XE1 Fluid Mechanics)2 chapters
  1. Differential Analysis: Continuity, Euler and Bernoulli Equations, Venturi, Pitot-Static Tube and Orifice Meter
  2. Navier-Stokes Equation and Exact Solutions; Vorticity, Stream Function and Circulation
Dimensional Analysis (XE1 Fluid Mechanics)1 chapter
  1. Dimensional Analysis: Similarity, the Buckingham Pi Theorem, Dimensionless Groups and Model Testing
Internal Flows (XE1 Fluid Mechanics)1 chapter
  1. Internal Flows: Pipe Flow, Friction Factor and Moody Chart, Minor Losses, Pipe Systems and Pumping Power
Potential Flows (XE1 Fluid Mechanics)1 chapter
  1. Potential Flows: Velocity Potential, Source, Sink and Vortex, Superposition and Flow past a Cylinder
External Flows (XE1 Fluid Mechanics)1 chapter
  1. External Flows: Boundary Layers, Separation, Drag and Lift
Classification and Structure of Materials (XE2 Materials Science)3 chapters
  1. Classification of Materials, Crystallography, Close-Packed Structures and Carbon
  2. Compounds, Amorphous Solids, Solid Solutions and the Structure of Polymers
  3. Defects in Crystalline Materials: Point, Line and Surface Defects
Thermodynamics, Kinetics and Phase Transformations (XE2 Materials Science)2 chapters
  1. Thermodynamics and Phase Equilibria: Laws, Phase Rule, Binary Diagrams and the Free-Energy Construction
  2. Kinetics, Diffusion, Solidification and Phase Transformations
Properties and Applications of Materials (XE2 Materials Science)3 chapters
  1. Mechanical Properties: Elasticity, Slip, Strengthening, Fracture, Fatigue, Creep and Composites
  2. Electronic Properties: Drude and Quantum Free-Electron Models, Bands, Semiconductors, Hall Effect and Dielectrics
  3. Magnetic, Thermal and Optical Properties: Magnetism, Hysteresis, Heat Capacity, Conduction, Thermoelectricity and Light
Characterization and Measurements of Properties (XE2 Materials Science)2 chapters
  1. Structure and Composition: X-ray Diffraction, Spectroscopy, Microscopy and EDS
  2. Measurement of Properties: Tensile Test, Hardness, Electrical Transport and Thermal Analysis
Processing of Materials (XE2 Materials Science)2 chapters
  1. Heat Treatment of Steels and Aluminium Alloys: TTT and CCT, Annealing to Tempering, Precipitation Hardening
  2. Silicon Processing, Powder Preparation and Sintering
Degradation of Materials (XE2 Materials Science)1 chapter
  1. Degradation of Materials: Corrosion and Polymer Degradation
Mechanics of Rigid Bodies (XE3 Solid Mechanics)2 chapters
  1. Statics: Equivalent Forces, Equilibrium, Trusses and Frames, Friction and Stability
  2. Dynamics: Particles, Planar Rigid Bodies, Energy and Momentum
Mechanics of Deformable Bodies (XE3 Solid Mechanics)3 chapters
  1. Stress and Strain, Mohr’s Circle, Elastic Constants, Thermal Stress and Theories of Failure
  2. Beams: SFD and BMD, Bending and Shear Stresses, Combined Stresses, Deflection and Indeterminate Beams
  3. Energy Methods, Torsion of Shafts, Euler Buckling and Thin-Walled Pressure Vessels
Vibrations (XE3 Solid Mechanics)1 chapter
  1. Vibrations: Free, Damped and Forced Response of Single-Degree-of-Freedom Systems
Basic Concepts (XE4 Thermodynamics)1 chapter
  1. Basic Concepts: Systems, Properties, Processes, Work and Heat, and Temperature
Properties of Pure Substances (XE4 Thermodynamics)1 chapter
  1. Pure Substances: Phases, p-v-T Behaviour, Ideal and van der Waals Gases
First Law of Thermodynamics (XE4 Thermodynamics)1 chapter
  1. First Law of Thermodynamics: Closed Systems, Specific Heats and Steady-Flow Devices
Second Law of Thermodynamics (XE4 Thermodynamics)1 chapter
  1. Second Law of Thermodynamics: Heat Engines, Refrigerators, Reversibility and the Carnot Cycle
Entropy (XE4 Thermodynamics)1 chapter
  1. Entropy: Clausius Inequality, Entropy Generation, Isentropic Devices and Second-Law Analysis
Thermodynamic Relations (XE4 Thermodynamics)1 chapter
  1. Thermodynamic Relations: T-ds Equations, Maxwell Relations, Joule-Thomson Effect and the Clapeyron Equation
Thermodynamic Cycles (XE4 Thermodynamics)2 chapters
  1. Vapour Cycles: Carnot Vapour Cycle, Ideal Rankine Cycle and Vapour-Compression Refrigeration
  2. Air-Standard Cycles: Otto, Diesel and Brayton
Mixtures of Ideal Gases (XE4 Thermodynamics)1 chapter
  1. Mixtures of Ideal Gases: Dalton and Amagat Laws, Mixture Properties and Psychrometry
Polymer Chemistry (XE5 Polymer Science and Engineering)2 chapters
  1. Polymer Chemistry I: Monomers, Chain-Growth and Step-Growth Polymerization, Metallocene and Controlled Methods
  2. Polymer Chemistry II: Copolymerization, Reactivity Ratios, Block and Graft Copolymers, Polymerization Techniques
Polymer Characterization (XE5 Polymer Science and Engineering)2 chapters
  1. Polymer Characterization I: Solutions, Molecular Weight Averages and Their Determination, GPC and Mooney Viscosity
  2. Polymer Characterization II: Glass and Melting Transitions, Crystallinity, Orientation, Spectroscopic, Thermal and Microscopic Analysis
Synthesis, Manufacturing and Properties (XE5 Polymer Science and Engineering)2 chapters
  1. Plastics: Commodity, Engineering, Thermoset and Specialty Polymers
  2. Rubbers and Bio-polymers: Natural and Synthetic Rubbers, Compostable and Natural Polymers
Polymer Blends and Composites (XE5 Polymer Science and Engineering)1 chapter
  1. Polymer Blends and Composites: Miscibility, Morphology, Alloys, Fibre and Particulate Reinforcement
Additives, Compounding and Formulations (XE5 Polymer Science and Engineering)1 chapter
  1. Additives, Compounding and Formulations: Ingredients, Carbon Black, Mixing and Vulcanisation
Polymer Rheology (XE5 Polymer Science and Engineering)2 chapters
  1. Polymer Flow, Modulus–Temperature Behaviour and Rheometry
  2. Viscoelasticity, Mechanical Models, Dynamic Testing and Cure Rheometry
Polymer Processing (XE5 Polymer Science and Engineering)2 chapters
  1. Moulding, Forming and Coating of Polymers
  2. Extrusion, Fibre Spinning, Composites and Rubber Processing
Polymer Testing (XE5 Polymer Science and Engineering)1 chapter
  1. Testing of Polymers: Mechanical, Electrical, Thermal, Optical and Melt Flow
Polymer Recycling, Waste Management and Sustainability (XE5 Polymer Science and Engineering)1 chapter
  1. Polymer Recycling, Waste Management and Sustainability
Food Chemistry and Nutrition (XL5 Food Technology)2 chapters
  1. Food Components: Carbohydrates, Proteins, Lipids, Pigments, Flavours and Enzymes
  2. Nutrition, Food Adulteration and Chemical Changes during Processing
Food Microbiology (XL5 Food Technology)1 chapter
  1. Food Microbiology: Microorganisms, Growth and Death Kinetics, Spoilage, Pathogens, Fermented and Probiotic Foods
Food Products Technology (XL5 Food Technology)2 chapters
  1. Food Processing Principles: Quality Analysis, Thermal and Non-Thermal Preservation, Packaging and Storage
  2. Food Products Technology: Cereals, Oils, Fruits, Plantation Crops, Milk, Meat, Waste Utilisation and Food Standards
Food Engineering (XL5 Food Technology)2 chapters
  1. Food Engineering I: Mass and Energy Balances, Fluid Flow, Heat Transfer and Mass Transfer
  2. Food Engineering II: Mechanical Operations, Thermal Operations and Psychrometrics
Atmospheric Science: Structure, Radiation and Thermodynamics (XE7 Atmospheric and Oceanic Sciences)2 chapters
  1. Atmospheric Structure, Blackbody Radiation, the Radiation Budget and the Greenhouse Effect
  2. Thermodynamics of Air: Hydrostatics, Clausius–Clapeyron, Adiabatic Processes, Humidity, Stability and Clouds
Atmospheric Science: Dynamics and Circulation (XE7 Atmospheric and Oceanic Sciences)2 chapters
  1. Equations of Motion, Forces and the Balanced Winds: Geostrophic, Gradient and Cyclostrophic
  2. Circulation and Vorticity, the General Circulation, Thermal Wind, the Indian Monsoon and Tropical Cyclones
Ocean Sciences: Physical Oceanography (XE7 Atmospheric and Oceanic Sciences)3 chapters
  1. Stratification of the Ocean: Profiles, Stability, Double Diffusion, Equation of State and Conservation Equations
  2. Currents and Wind-driven Circulation: Inertial and Geostrophic Flow, Air-Sea Fluxes, Ekman and Sverdrup Transports
  3. Storm Surges, Tides, Tsunamis, Waves, Eddies and Gyres, and Thermohaline Circulation
Ocean Sciences: Chemical and Biological Oceanography (XE7 Atmospheric and Oceanic Sciences)2 chapters
  1. Chemical Properties of Seawater, Major and Minor Elements, the Carbonate System and Ocean Acidification
  2. Biogeochemical Cycling of Nutrients, the Biological Pump, Productivity and Marine Ecology
Fossil Energy Resources (XE8 Energy Science)1 chapter
  1. Fossil Energy Resources: R/P Ratio, Reserves, Unconventional Gas and Peak Oil
Nuclear Energy Resources (XE8 Energy Science)1 chapter
  1. Nuclear Energy Resources: Mass-Energy, Binding Energy, Radioactive Decay, Fission and Fusion
Solar Thermal Systems (XE8 Energy Science)2 chapters
  1. Solar Radiation and Solar Geometry: Extraterrestrial and Ground Radiation, Instruments, Angles and Tilt Factor
  2. Solar Thermal Collectors: Optical and Thermal Efficiency, Flat-Plate, Evacuated-Tube, Air-Heater and Concentrating Collectors
Solar Photovoltaic (PV) Systems (XE8 Energy Science)2 chapters
  1. Solar PV Cells and Modules: I-V Characteristics, Efficiency, Fill Factor, Series-Parallel Connection and MPPT
  2. Sizing of Solar PV Systems: Load, Load Factor, Days of Autonomy, Battery, Inverter and Array Size
Biomass (XE8 Energy Science)1 chapter
  1. Biomass Energy: Resources, Composition, Characterisation, Conversion and Biofuels
Wind Energy Conversion Systems (XE8 Energy Science)1 chapter
  1. Wind Energy Conversion Systems: Wind Resource, Betz Limit, Turbine Types, Blade Design and Generators
Hydropower (XE8 Energy Science)1 chapter
  1. Hydropower: Resources, Plant Layout, Head and Flow, Pelton, Francis and Kaplan Turbines, Small Hydro
Energy Storage Systems (XE8 Energy Science)1 chapter
  1. Energy Storage Systems: Batteries, Thermal Stores, Pumped Hydro, Compressed Air and Round-Trip Efficiency
Economic Analysis of Energy Systems (XE8 Energy Science)1 chapter
  1. Economic Analysis of Energy Systems: Payback, Present Worth, NPV and IRR, Life-Cycle Cost, Cost of Saved Energy and LCOE
Environmental Impacts of Energy Use (XE8 Energy Science)1 chapter
  1. Environmental Impacts of Energy Use: Air Pollutants, Greenhouse Gases, Emission Factors and Inventories
Energy Management (XE8 Energy Science)1 chapter
  1. Energy Management: Audits, Electrical Systems, Motors, Lighting, and Thermal and Mechanical Systems
Textile Fibres (XE9 Textile Engineering and Fibre Science)3 chapters
  1. Textile Fibres: Classification, Natural and High-Performance Fibres, Identification and Blends
  2. Fibre Formation: Polymer Structure, Polymerisation, Spinning Methods and Post-Spinning
  3. Fibre Structure and Properties: Investigation Methods, Morphology, Mechanics, Moisture and Structure–Property Links
Yarn Manufacture, Yarn Structure and Properties (XE9 Textile Engineering and Fibre Science)3 chapters
  1. Staple Yarn Preparation: Ginning, Blowroom, Carding, Drawing and Combing
  2. Roving, Ring Spinning, Doubling and Modern Spinning Systems
  3. Yarn Structure and Properties: Geometry, Twist, Strength and Irregularity
Fabric Manufacture, Structure and Properties (XE9 Textile Engineering and Fibre Science)3 chapters
  1. Weaving Preparation, Loom Motions, Shuttleless Weaving and Woven Constructions
  2. Knitting, Nonwovens and Braiding: Constructions and Processes
  3. Fabric Geometry: Peirce’s Woven Model, Munden’s Knit Loop and Tubular Braids
Textile Testing (XE9 Textile Engineering and Fibre Science)2 chapters
  1. Textile Testing of Fibres and Yarns: Sampling, Moisture, Fibre, Yarn and Evenness Tests
  2. Textile Testing of Fabrics: Mechanical, Surface and Comfort Properties
Chemical Processing (XE9 Textile Engineering and Fibre Science)3 chapters
  1. Chemical Processing I: Impurities, Preparatory Processes, Mercerisation, Wool and Silk, Man-made Fibres and Optical Brightening
  2. Chemical Processing II: Dyes, Dyeing, Machines, Dye-Fibre Thermodynamics and Kinetics, Colour Measurement and Fastness
  3. Chemical Processing III: Printing, Finishing, and Effluent Pollution Control

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FAQ

Frequently asked questions

What does the GATE Engineering Sciences course cost?

The first chapter of the GATE course is free. Every chapter of this paper, in English and Hindi, unlocks with the GATE plan — ₹29 a month, less than ₹1 a day, cancel anytime — with scored practice and the full-length XE mock test in the real 65-question pattern. Premium adds the AI mentor.

How much of the GATE XE syllabus is covered?

The whole paper: 20 Engineering Mathematics chapters as this paper's syllabus words them, and 95 chapters across all 48 discipline sections. General Aptitude is shared by every paper.

What is the GATE exam pattern?

65 questions for 100 marks in 180 minutes: General Aptitude for 15 marks and the paper for 85. A wrong MCQ costs a third of its marks; MSQ and NAT questions carry no negative marking.

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