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November 21, 2024 04:08
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UPSC NDA Syllabus 2025 includes a detailed syllabus for Mathematics and General Ability Test. Keep on reading to explore the complete UPSC NDA Syllabus here.
UPSC NDA Syllabus 2025: The NDA 1 Syllabus 2025 will be released along with the notification on December 11, 2024. The Union Public Service Commission conducts the National Defence Academy exam twice a year. The exam consists of a Written Examination followed by an SSB Interview. The written exam is divided into two papers: Mathematics and the General Ability Test (GAT). Candidates must understand the subject-wise syllabus and exam pattern for effective preparation.
The NDA 1 Syllabus 2025 will be released along with the notification on December 11, 2024. The Union Public Service Commission conducts the National Defence Academy exam twice a year. The exam consists of a Written Examination followed by an SSB Interview. The written exam is divided into two papers: Mathematics and the General Ability Test (GAT). Candidates must understand the subject-wise syllabus and exam pattern for effective preparation. Here is a detailed table summarizing the key points of the NDA Syllabus 2025 for better clarity:
| UPSC NDA Syllabus 2025 Overview | |
| Feature | Details |
| Name of the Exam | National Defence Academy (NDA) |
| Conducting Body | Union Public Service Commission (UPSC) |
| Frequency of Exam | Twice a Year (April & September) |
| Selection Process | – Written Test (Objective Type Questions)
– Intelligence & Personality Test (SSB) |
| Mode of Exam | Offline |
| Papers in NDA Exam | – Mathematics
– General Ability Test (GAT) |
| Marks Segregation | – Mathematics: 300 Marks – GAT: 600 Marks |
| Total Number of Questions | – Mathematics: 120 – GAT: 150 |
| Negative Marking | – Mathematics: -0.83 per wrong answer – GAT: -1.33 per wrong answer |
| Exam Duration | – Mathematics: 2.5 Hours – GAT: 2.5 Hours (Total: 5 Hours) |
| Language of Question Paper | – English & Hindi for Mathematics and GAT – English Language section must be attempted in English |
The NDA Examination syllabus covers a wide range of topics in Mathematics and the General Ability Test (GAT), designed to test candidates’ conceptual understanding, problem-solving ability, and general awareness. A strong grasp of these subjects is crucial for scoring well in the written exam and securing a position in the National Defence Academy. Below is the curated subject-wise syllabus for the NDA 2025 exam:
Mathematics (Code 01) – Maximum Marks: 300 |
|
| Topic | Details |
| Algebra | Concept of set, operations on sets, Venn diagrams. De Morgan laws, Cartesian product, relation, equivalence relation. 21 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 & 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 in radians. Trigonometrical ratios. Trigonometric identities Sum and difference formulae. Multiple and Sub-multiple angles. Inverse trigonometric functions. Applications-Height and distance, properties of triangles. |
| Analytical Geometry | Rectangular Cartesian Coordinate system. Distance formula. Equation of a line in various forms. Angle between two lines. Distance of a point from a line. Equation of a circle in standard and in general form. Standard forms of parabola, ellipse and hyperbola. Eccentricity and axis of a conic. Point in a three dimensional space, 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. Angle between two lines and angle between two planes. Equation of a sphere. |
| Differential Calculus | Concept of a real valued function–domain, range and graph of a function. Composite functions, one to one, onto and inverse functions. 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 | 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. |
| Differential Equations | Concept of a real valued function–domain, range and graph of a function. Composite functions, one to one, onto and inverse functions. 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. |
| Vector Algebra | Vectors in two and three dimensions, magnitude and direction of a vector. Unit and null vectors, 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. |
| Statistics & Probability | 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: 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. |
| General Ability Test (GAT) (Code 02) – Maximum Marks: 600 | |
| Section | Topics Covered |
| English | The English question paper will be designed to test the candidate’s understanding of English and workman-like use of words. The syllabus covers various aspects like : Grammar and usage, vocabulary, comprehension and cohesion in extended text to test the candidate’s proficiency in English. |
| Physics | The question paper on General Knowledge will broadly cover the subjects : Physics, Chemistry, General Science, Social Studies, Geography and Current Events. – The syllabus given below is designed to indicate the scope of these subjects included in this paper. The topics mentioned are not to be regarded as exhaustive and questions on topics of similar nature not specifically mentioned in the syllabus may also be asked. Candidate’s answers are expected to show their knowledge and intelligent understanding of the subject. |
| Chemistry | Physical Properties and States of Matter, Mass, Weight, Volume, Density and Specific Gravity, Principle of Archimedes, Pressure Barometer. Motion of objects, Velocity and Acceleration, Newton’s Laws of Motion, Force and Momentum, Parallelogram of Forces, Stability and Equilibrium of bodies, Gravitation, elementary ideas of work, Power and Energy. Effects of Heat, Measurement of Temperature and Heat, change of State and Latent Heat, Modes of transference of Heat. Sound waves and their properties, Simple musical instruments. Rectilinear propagation of Light, Reflection, and refraction. Spherical Mirrors and Lenses, Human Eye. Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet. Static and Current Electricity, conductors and Non- conductors, Ohm’s Law, Simple Electrical Circuits, Heating, Lighting and Magnetic effects of Current, Measurement of Electrical Power, Primary and Secondary Cells, and Use of X-Rays. General Principles in the working of the following: Simple Pendulum, Simple Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightening Conductors, Safety Fuses. |
| General Science | Difference between the living and non-living. Basis of Life—Cells, Protoplasms and Tissues. Growth and Reproduction in Plants and Animals. Elementary knowledge of the Human Body and its important organs. Common Epidemics, their causes, and prevention. Food—Source of Energy for man. Constituents of food, Balanced Diet. The Solar System—Meteors and Comets, Eclipses. Achievements of Eminent Scientists. |
| History | Indian independence movement, cultural heritage, Constitution of India, and revolutions. |
| Geography | Climate, resources, Earth structure, and regional geography of India and the world. |
| Current Affairs | National and international events, sports, defense-related developments, and cultural achievements. |
The NDA written exam consists of two papers, each with a specific time duration and maximum marks. Below is the exam pattern:
| Paper | Subject | Duration | Maximum Marks |
| Paper I | Mathematics | 2½ Hours | 300 |
| Paper II | General Ability Test (GAT) | 2½ Hours | 600 |
| SSB Interview | 900 | ||
| Total | 1800 | ||
The Intelligence and Personality Test forms a crucial part of the SSB (Services Selection Board) procedure. It assesses candidates’ mental aptitude, personality traits, and leadership potential through a structured two-stage process. Below is a detailed breakdown of the test:
| Stage | Description | Key Components |
| Stage I | Screening Tests |
|
| Stage II | Main Assessment (Conducted over 4 Days) |
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