NDA Syllabus 2026 PDF Download – Complete Maths and GAT Syllabus (Latest)

Welcome to Target Defence Academy. Here is the detailed NDA Syllabus 2026. The NDA written examination is divided into two papers: Mathematics and General Ability Test (GAT). Boys and girls seeking to apply for the NDA must begin preparing for the written exam by following the detailed NDA latest Syllabus 2026 discussed in this article.

NDA Latest Syllabus 2026

Important Information about the NDA Exam 2026:

Name of the Exam	National Defence Academy (NDA)
Conducting Body	Union Public Service Commission, UPSC.
Frequency of Exam	Twice a year
Selection Process	Written Test consisting of Objective Type Questions, Intelligence & Personality Test (SSB)
Mode of exam	Offline
Papers in NDA Exam	Mathematics & General Ability Test
Marks Segregation	Mathematics: 300 Marks, GAT: 600 Marks
Total No. of Questions	Mathematics: 120, GAT: 150
Negative Marking	Mathematics: -0.83, GAT: -1.33 marks
Exam Duration	2.5 Hours For Each Paper (5 hours total)
Language of Question Paper	English & Hindi / English Language paper has to be attempted in English.

NDA Exam Pattern 2026:

Subject	GAT	Maths
Total No. of Questions	150	120
Marks awarded for a Correct answer	4 Marks	2.5 marks
Marks deducted for the wrong answer	-1.33 marks	-0.83 mark
Maximum Marks	600 marks	300 Marks
Duration	2.5 Hours	2.5 Hours

NDA Detailed Syllabus for 2026 in PDF: Download Now

After learning the NDA Exam Pattern, candidates need to know the NDA Exam Syllabus. The NDA Syllabus is discussed below.

NDA Maths Syllabus:

The chapters covered for the NDA Maths Syllabus are given in the table below.

Topics	Sub Topics
Algebra	Concept of set, operations on sets, Venn diagrams.
	De Morgan laws, Cartesian product, relation, equivalence relation.
	Representation of real numbers on a line.
	Complex numbers- basic properties, modulus, argument, cube roots of unity.
	Binary system of numbers.
	Conversion of a number in the decimal system to the binary system and vice versa.
	Arithmetic, Geometric and Harmonic progressions.
	Quadratic equations with real coefficients.
	Solution of linear inequalities of two variables by graphs.
	Permutation and Combination.
	Binomial theorem and its applications.
	Logarithms and their applications.
Matrices and Determinants	Types of matrices, operations on matrices.
	Determinant of a matrix, basic properties of determinants.
	Adjoint and inverse of a square matrix, Applications-Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method.
Trigonometry	Angles and their measures in degrees and radians.
	Trigonometric ratios.
	Trigonometric identities Sum and difference formulae.
	Multiple and Sub-multiple angles.
	Inverse trigonometric functions.
	Applications: Height and distance, properties of triangles.
Vector Algebra	Vectors in two and three dimensions, magnitude, and direction of a vector.
	Unit and null vectors, the addition of vectors, scalar multiplication of a vector, scalar product, or dot product of two vectors.
	The vector product or cross product of two vectors.
	Applications work done by a force and the moment of a force, and in geometrical problems.
Analytical Geometry of Two and Three Dimensions	Rectangular Cartesian Coordinate system.
	Distance formula. Equation of a line in various forms.
	The angle between two lines.
	Distance of a point from a line.
	Equation of a circle in standard and general form.
	Standard forms of parabola, ellipse, and hyperbola.
	Eccentricity and axis of a conic.
	In a three-dimensional space, the distance between two points.
	Direction Cosines and direction ratios.
	Equation of two points.
	Direction Cosines and direction ratios.
	Equation of a plane and a line in various forms.
	The angle between two lines and the angle between two planes.
	Equation of a sphere.
Statistics	Statistics: Classification of data, Frequency distribution, cumulative frequency distribution – examples.
	Graphical representation – Histogram, Pie Chart, frequency polygon – examples.
	Measures of Central tendency – Mean, median and mode.
	Variance and standard deviation – determination and comparison. Correlation and regression.
Probability	Probability: Random experiment, outcomes and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events.
	Union and Intersection of events.
	Complementary, elementary and composite events.
	Definition of probability – Classical and statistical – examples.
	Elementary theorems on probability – simple problems.
	Conditional probability, Bayes’ theorem – simple problems.
	Random variable as a function on a sample space.
	Binomial distribution, examples of random experiments giving rise to the Binomial distribution.

NDA GAT (General Ability Test) Syllabus:

Here we have given the NDA GAT Latest Syllabus 2026:

Subject	Topics
NDA English Syllabus	Spotting Errors
	Comprehension
	Selecting Words
	Ordering of Words in a Sentence
	Sentence Improvement
	Antonyms
	Synonyms
Physics	Physical Properties and States of Matter, Modes of transference of Heat, Mass, Weight, Volume, Sound waves and their properties.
	Simple musical instruments, Rectilinear propagation of Light, Density and Specific Gravity, Reflection and refraction.
	Principle of Archimedes, Spherical Mirrors and Lenses.
	Pressure, Barometer, Human Eye, Motion of Objects, Natural and Artificial Magnets.
	Velocity and Acceleration, Properties of a Magnet, Newton’s Laws of Motion, Earth as a Magnet.
	Force and Momentum, Static and Current Electricity, Parallelogram of Forces, Conductors and Non-conductors, Stability and Equilibrium of bodies.
	Ohm’s Law, Gravitation, Simple Electrical Circuits, Elementary ideas of work Heating, Lighting, and Magnetic effects of Current Power and Energy Measurement of Electrical Power Effects of Heat Primary and Secondary Cells Measurement of Temperature and Heat Use of X-Rays General Principles in the working of Simple Pendulum, Simple Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightning Conductors, Safety Fuses.
NDA Chemistry Syllabus	Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon Dioxide, Oxidation and Reduction. Acids, bases and salts. Carbon- different forms Physical and Chemical Changes Fertilizers-Natural and Artificial Elements Material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and Gunpowder Mixtures and Compounds Elementary ideas about the structure of Atom Symbols, Formulae, and simple Chemical Equation Atomic Equivalent and Molecular Weights Law of Chemical Combination (excluding problems) Valency Properties of Air and Water
General Science	Common Epidemics, their causes, and prevention. Difference between the living and non-living: Food – Source of Energy for man. Basis of Life-Cells, Protoplasms, and Tissues: Constituents of Food Growth and Reproduction in Plants and Animals. Balanced Diet. Elementary knowledge of the Human Body and its important organs, the Solar System-Meteors and Comets, Eclipses. Achievements of Eminent Scientists
NDA Syllabus- History, Freedom Movement:	Forces shaping the modern world; Renaissance Exploration and Discovery; A broad survey of Indian History, with emphasis on Culture and Civilisation Freedom Movement in India French Revolution, Industrial Revolution, and Russian Revolution War of American Independence, Impact of Science and Technology on Society Elementary study of Indian Constitution and Administration Concept of one World Elementary knowledge of Five Year Plans of India United Nations, Panchsheel, Panchayati Raj, Democracy, Socialism and Communism Role of India in the present world Co-operatives and Community Development Bhoodan, Sarvodaya, National Integration and Welfare State Basic Teachings of Mahatma Gandhi
NDA Geography Syllabus	The Earth, its shape and size, Ocean Currents and Tides
	The atmosphere and its composition
	Latitudes and Longitudes
	Temperature and Atmospheric Pressure, Planetary Winds, Cyclones, and Anticyclones
	Humidity, Condensation and Precipitation
	Concept of time
	Types of Climate
	International Date Line
	Major Natural Regions of the World
	Movements of Earth and their effects
	Regional Geography of India.
	Climate, Natural vegetation.
	Mineral and Power resources.
	Location and distribution of agricultural and Industrial activities, Origin of Earth
	Rocks and their classification
	Important Sea ports and main sea, land, and air routes of India.
	Weathering-Mechanical and Chemical.
	Earthquakes and Volcanoes.
	Main items of Imports and Exports of India
Current Affairs Syllabus	Knowledge of Important events that have happened in India in recent years, Prominent personalities of both Indian and International level, Cultural activities and sports activities, and Current important world events.

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Current Affairs 2026 – Daily and Monthly Current Affairs

Current Affairs for NDA Exam 2026