Welcome to Target Defence Academy, here we have the detailed syllabus for NDA 2025. NDA written examination is divided into two papers Mathematics and General Ability Test (GAT). The boys and girls who are seeking to apply for NDA must begin their preparation for the written exam by following the detailed NDA Syllabus which has been discussed in this article.
NDA Syllabus 2025
Important Information about the NDA Exam 2025:
| Name of the Exam | National Defence Academy (NDA) |
| Conducting Body | Union Public Service Commission, UPSC. |
| Frequency Of Exam | Twice in a Year (April & September) |
| 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:
Maths Test Exam Pattern (Paper-1):
| Paper I- Mathematics | |
| Total Marks | 300 Marks |
| Total No. of Questions | 120 |
| Marks awarded for Correct answer | 2.5 marks |
| Marks deducted for the wrong answer | -0.83 |
| Exam Duration | 2.5 Hours |
General Ability Test Exam Pattern (Paper-2):
| Paper-II- General Ability Test | |
| Total Marks | 600 marks |
| Total No. of Questions | 150 |
| No. of questions in English Section | 50 |
| No. Of questions in General knowledge Section | 100 |
| Maximum Marks for English | 200 marks |
| Maximum Marks for G.K. | 400 marks |
| Marks for Correct Answer | 4 marks in both sections |
| Marks for Incorrect Answer | -1.33 marks in both sections |
| Exam Duration | 2.5 Hours |
NDA detailed Syllabus in PDF: Download Now
After getting to know the NDA Exam Pattern, the candidates need to know the Syllabus of the NDA Exam. The NDA Syllabus is discussed below.
NDA Maths Syllabus:
The chapters covered for the NDA Maths Syllabus are given in the table below.
| Chapter | 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 decimal system to binary system and vice versa. Arithmetic, Geometric and Harmonic progressions. Quadratic equations with real coefficients. Solution of linear inequations 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. |
| Differential Calculus | Concept of a real-valued function–domain, range and graph of a function. Composite functions, one-to-one, onto and inverse functions. The notion of limit, Standard limits—examples. Continuity of functions—examples, algebraic operations on continuous functions. Derivative of function at a point, geometrical and physical interpretation of a derivative—applications. Derivatives of sum, product and quotient of functions, derivative of a function with respect to another function, derivative of a composite function. Second-order derivatives. Increasing and decreasing functions. Application of derivatives in problems of maxima and minima. |
| Integral Calculus and Differential Equations | Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expressions, trigonometric, exponential and hyperbolic functions. Evaluation of definite integrals—determination of areas of plane regions bounded by curves—applications. Definition of order and degree of a differential equation, formation of a differential equation by examples. A general and particular solution of differential equations, solution of the first order and first-degree differential equations of various types—examples. Application in problems of growth and decay. |
| 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. Vector product or cross product of two vectors. Applications—work done by a force and moment of a force and in geometrical problems. |
| Analytical Geometry Of Two and Three Dimension | 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 a general form. Standard forms of parabola, ellipse, and hyperbola. Eccentricity and axis of a conic. Point in a three-dimensional space, the distance between two points. Direction Cosines and direction ratios. Equation 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 function on a sample space. Binomial distribution, examples of random experiments giving rise to Binominal distribution. |
The topic-wise question distribution in Maths
| Topic | Questions |
|---|---|
| Calculus | 20-25 |
| Quadratic equation | 20-15 |
| Geometry, Matrices & Determinants | 30 |
| Statistics & Probability | 10 |
| Trigonometry | 30 |
| Complex number | 10-15 |
NDA GAT (General Ability Test) Syllabus:
The General Ability Test comprises two parts English and General Knowledge. The English part consists of 200 Marks while the General Knowledge is of 400 Marks.
NDA Syllabus- English:
The English question paper will be designed to test the candidate’s understanding of English. The syllabus covers various aspects as given below:
| Topic | No. of Questions | No. of Marks |
|---|---|---|
| Spotting Errors | 5 | 20 |
| Comprehension | 6 | 24 |
| Selecting Words | 10 | 40 |
| Ordering of Words in a Sentence | 9 | 36 |
| Sentence Improvement | 10 | 40 |
| Antonyms | 5 | 20 |
| Synonyms | 5 | 20 |
| Total | 50 | 200 |
NDA Syllabus- General Knowledge:
Check the topic-wise number of questions and mark distribution in the table below.
| Topic | No. of Questions | No. of Marks |
|---|---|---|
| Physics | 23 | 92 |
| Chemistry | 16 | 64 |
| General Science | 11 | 44 |
| History & Freedom Movement | 16 | 64 |
| Geography | 17 | 68 |
| Current Events | 17 | 68 |
| Total | 100 | 400 |
NDA Syllabus- Physics:
| NDA Syllabus For 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 Syllabus- Chemistry:
| NDA Syllabus For Chemistry |
| 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 |
NDA Syllabus- General Science:
| NDA Syllabus For 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:
| NDA Syllabus For History |
| 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 Syllabus- Geography:
| NDA Syllabus For Geography |
| 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:
| NDA Syllabus For Current Events |
| 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. |
SSB (Intelligence and Personality Test)
The SSB procedure consists of two stages. Only those candidates who clear the written exam are permitted to appear for SSB round. The details of SSB exam are given below:
| Stage I | Officer Intelligence Rating (OIR) Picture Perception Description Test (PP&DT). |
|---|---|
| Stage II | Interview (IO) Group Testing Officer Tasks (GTO) Psychology Tests (Psych) Conference |
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