Complete Syllabus structure of NDA examination

• Exam Pattern
• Syllabus
• Conclusion
• Frequently Asked Questions (FAQs)

Mathematics

Topics

Sub-topics

Algebra

• Set theory, set operations, and Venn diagrams
• Cartesian product, relation, equivalence relation, De Morgan laws
• Real-number representation on a line
• Complex numbers have basic properties such as modulus, argument, and cube roots of unity.
• The binary number system
• Progressions in arithmetic, geometric, and harmonic terms
• Real coefficient quadratic equations
• Graphs are used to solve linear inequalities of two variables.
• Combination and permutation
• Applications of the Binomial Theorem
• Logarithms and their Uses

Matrices & Determinants

• Matrix types and operations 
• Determinants of a matrix and their properties
• A square matrix adjoint and inverse
• Cramer's rule and Matrix algebra are used to solve a system of linear equations 

Trigonometry

• Angles and their degrees and radians measurements
• Trigonometric proportions
• Sum and difference formulae for trigonometric identities
• Triangle Properties

Analytical Geometry of Two and Three Dimensions

• Cartesian coordinate system (rectangular)
• Line equations in various forms
• The angle is formed by two lines
• Circle equations in standard and general form
• Standard parabola, ellipse, and hyperbola shapes
• Eccentricity and conic axis
• The distance between two points in three-dimensional space.
• Different types of plane and line equations
• The angle is formed by two lines and two planes
• Sphere Equation

Differential Calculus

• Range, Domain, and graph of a real-valued function 
• Inverse functions and composite functions
• The concept of limit, Examples of standard limits
• Function continuity—examples, algebraic operations on continuous functions
• Function at a point derivative, geometrical and physical interpretation of a derivative—applications
• Sum, product, and quotient derivatives of functions, the derivative of a function to another function, and derivative of a composite function Derivatives of second order
• Functions for increasing and decreasing
• The use of derivatives in maxima and minima problems

Integral Calculus and Differential Equations

• Integration as the inverse of differentiation, integration by substitution and by parts, algebraic expressions, trigonometric, exponential, and hyperbolic functions, standard integrals
• Determinate integrals evaluation
• Area determination in plane regions bounded by curves—applications
• Differential equation order and degree definitions, examples of differential equation formation
• Examples of general and particular differential equation solutions, solutions of first-order and first-degree differential equations of various types
• Application in growth and decay problems

Vector Algebra

• Vectors in two and three dimensions, vector magnitude and direction, unit and null vectors, vector addition, vector scalar multiplication, scalar product or dot product of two vectors
• Vector product or cross product
• Applications—work done by a force and its moment, as well as geometrical problems

Statistics and Probability

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• Examples of statistics: data classification, frequency distribution, and cumulative frequency distribution
• Examples of graphical representation include histograms, pie charts, and frequency polygons.
• Standard deviation and variance—determination and comparison
• Regression and correlation
• Probability includes events, mutually exclusive and exhaustive events, impossible and certain events, and random experiments.
• Union and intersection Events that are complementary, elementary, and composite
• Examples of classical and statistical probability definitions
• Probability theorems for beginners—simple problems
• Simple problems: conditional probability and Bayes' theorem
• Examples of random experiments that resulted in the Binomial distribution

General Ability Test (GAT)

English

Grammar and Usage, Vocabulary, Comprehension, and cohesion.

General Knowledge

Physics

• Physical Properties and States of Matter, Weight, Mass, Volume, Archimedes' Principle, Density and Specific Gravity, and Pressure Barometer
• Object motion, force and momentum, velocity and acceleration, body stability and equilibrium, Newton's Laws of Motion, Parallelogram of Forces, Gravitation, Power and Energy, fundamental concepts of work
• Heat Effects, State Change and Latent Heat, Temperature and Heat Measurement, Heat Transfer Modes
• Sound waves and their properties, Light propagation in a rectilinear plane, Simple musical instruments, Reflection and refraction
• Spherical mirrors and lenses, as well as the human eye
• Natural and artificial magnets, Earth as a magnet, magnet properties
• Ohm's Law, conductors and non-conductors, simple electrical circuits, lighting and magnetic effects of current, heating, electrical power measurement

Chemistry

• Physical and chemical transformations Symbols, Formulae, and Simple Chemical Equations, Elements, Mixtures, and Compounds Chemical Combination Law (excluding problems)
• Air and water properties
• Bases, acids, and salts Carbon in various forms
• Natural and synthetic fertilizers
• The material used in the manufacture of products such as soap, glass, ink, paper, cement, and paints. Safety Gunpowder and matches
• Fundamental concepts concerning the structure of the atom, Atomic Equivalent and Molecular Weights, and Valency

General Science

• The distinction between living and nonliving
• Cells, protoplasms, and tissues
• Plant and animal growth and reproduction
• The human body and its major organs
• The causes and prevention of common epidemics
• Food is man's source of energy.
• Food components, balanced diet
• The solar system, including meteors and comets, as well as eclipses
• Eminent scientists' accomplishments

History

• A comprehensive survey of Indian history, with a focus on culture and civilization.
• India's freedom movement
• An introduction to the Indian constitution and administration.
• Basic understanding of India's five-year plans
• Cooperatives, Panchayati raj, and community development
• Sarvodaya, Bhoodan, national integration, and welfare Mahatma Gandhi's fundamental teachings should be stated.
• Forces shaping the modern world; Renaissance, exploration, and discovery; American Revolutionary War 
• The Social Impact of Science and Technology
• One World concept, United Nations, Panchsheel, democracy, socialism, and communism

Geography

• The earth, its size and shape
• Longitudes and latitudes, as well as the concept of time
• International time zone
• Earth's movements and their consequences
• Ocean currents and tides, the atmosphere and its composition; temperature and atmospheric pressure, planetary winds, cyclones and anticyclones; humidity; condensation and precipitation; climate types, and the world's major natural regions
• India's regional geography—climate, natural vegetation
• Mineral and energy resources; agricultural and industrial activity location and distribution
• India's major seaports and major sea, land, and air routes
• India's primary imports and exports

Current Events

• Knowledge of significant events that have occurred in India in recent years
• Current major world events
• Prominent Indian and international personalities, including those involved in cultural and sporting activities

Stage - 1

Officer Intelligence Rating (OIR) tests such as Picture Perception and Description Test

Stage - 2

Interview, Group Testing Officer Tasks, Psychology Tests, and the Conference