Hello Everyone, download both the Hindi and English Medium NDA Syllabus of Paper 1 Mathematics as well as Paper 2 General Ability Test in the PDF format.
Hindi medium students will not suffer anymore now for Syllabus because in this post both medium syllabi PDFs are given. A syllabus is like an opening key of preparation, it gives a roadmap of what and how much you have to study for the exam. Download both medium Syllabi from below and start your preparation.
NDA Paper 1 Syllabus – Mathematics
The National Defence Academy (NDA) exam is conducted by the Union Public Service Commission (UPSC) for admission to the National Defence Academy (NDA) and the Indian Naval Academy (INA). The NDA exam consists of two papers: Mathematics and General Ability Test (GAT).
Here is the detailed syllabus for the Mathematics paper for the NDA exam:
| Units | Syllabus [Detailed form] |
| Trigonometry | Trigonometrical ratios, properties of triangles, Angles and their measures in degrees and in radians, Inverse trigonometric functions, Trigonometric identities Sum and difference formulae, Applications – Height and distance, Multiple and Sub-multiple angles. |
| Algebra | Complex numbers – basic properties, modulus, Conversion of a number in decimal system to binary system and vice-versa, Arithmetic, argument, cube roots of unity, Geometric and Harmonic progressions, Solution of linear inequations of two variables by graphs, Representation of real numbers on a line, Binary system of numbers, Binomial theorem and its application, Quadratic equations with real coefficients, Permutation and Combination, Logarithms and their applications. |
| Differential Calculus | Composite functions, one-to-one, onto and inverse functions, geometrical and physical interpretation of a derivative – applications, increasing and decreasing functions, Continuity of functions – examples, algebraic operations on continuous functions, Application of derivatives in problems of maxima and minima, Concept of a real-valued function – domain, range, and graph of a function, Notion of limit, Standard limits – examples, geometrical and physical interpretation of a derivative – applications, Derivative of a function at a point, Derivatives of sum, product and quotient of functions, a derivative of a function with respect of another function, a derivative of a composite function and Second order derivatives. |
| Vector Algebra | Vectors in two and three dimensions, scalar multiplication of vector, scalar product or dot product of two vectors, Applications-work done by a force and moment of a force, and in geometrical problems, magnitude, and direction of a vector, Unit and null vectors, the addition of vectors, Vector product, and cross product of two vectors. |
| Integral Calculus and Differential equations | Integration by substitution and by parts, trigonometric, Definition of order and degree of a differential equation, formation of a differential equation by examples, exponential and hyperbolic functions, solution of the first order and first-degree differential equations of various types – examples, standard integrals involving algebraic expressions, Evaluation of definite integrals – determination of areas of plane regions bounded by curves – applications, General and particular solution of a differential equation, Integration as inverse of differentiation, Application in problems of growth and decay. |
| Matrices and Determinants | Types of Matrices, Determinant of a matrix, adjoin and inverse of a square matrix, operations on matrices, Applications – Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method, basic properties of determinant. |
| Analytical Geometry of two and three dimensions | Distance formula, Equation of a circle in standard and in general form, Ellipse, and hyperbola, Angle between two lines, Rectangular Cartesian Coordinate system, Equation of a line in various forms, Standard forms of parabola, Distance of a point from a line, Eccentricity and axis of a conic. Point in a three-dimensional space, the distance between two points, the Equation of a plane and a line in various forms, the Equation of a sphere, Direction Cosines and direction ratios, the angle between two lines, and the angle between two planes. |
| Statistics | Frequency distribution, Classification of data, cumulative frequency distribution – examples Graphical representation – Histogram, Measures of Central tendency – mean, median and mode, Pie Chart, Frequency Polygon – examples, Variance and standard deviation – determination and comparison, Correlation and regression. |
| Probability | Outcomes and associated sample space, Binomial distribution, Random experiment, examples of random experiments giving rise to Binominal distribution, events, mutually exclusive and exhaustive events, Bayes’ theorem – simple problems, impossible and certain events, Complementary, elementary and composite events, Union and Intersection of events, Definition of probability – classical and statistical – examples, Conditional probability, Random variable as function on a sample space, Elementary theorems on probability – simple problems, Binomial distribution, examples of random experiments giving rise to Binominal distribution. |
Overall, the Mathematics paper of the NDA exam tests the test-taker’s knowledge of various mathematical concepts and techniques, including algebra, trigonometry, analytical geometry, differential calculus, vector algebra, statistics, and probability.
Download the Mathematics [Paper 1] Syllabus PDF in both Hindi and English medium from below:
NDA Paper 2 Syllabus – General Ability Test
The National Defence Academy (NDA) exam is conducted by the Union Public Service Commission (UPSC) for admission to the National Defence Academy (NDA) and the Indian Naval Academy (INA). The NDA exam consists of two papers: Mathematics and General Ability Test (GAT).
Here is the detailed syllabus for the General Ability Test (GAT) paper of the NDA exam:
- English:
- Vocabulary, grammar, sentence structure, synonyms, antonyms, comprehension, and error detection.
- General Ability section:
- general science, general studies, and general knowledge
Overall, the General Ability Test (GAT) paper of the NDA exam tests the test-taker’s knowledge of English and general knowledge. Below the Paper 2 syllabus is given in a more detailed form.
General English Syllabus
| 01. Spotting Errors | 07. Cloze Test |
| 02. Vocabulary | 08. Antonym and Synonyms |
| 03. Sentence Improvement | 09. Spelling Error |
| 04. Sentence Completion | 10. Ordering Sentence |
| 05. Reading Comprehension | 11. Jumbled Words |
| 06. Idioms and Phrases |
General Science Syllabus – Physics
| Mechanics and General Properties of Matter: Motion of objects, Newton’s Laws of Motion, Force and Momentum, Parallelogram of Forces, Stability and Equilibrium of bodies, Gravitation, elementary ideas of work, Velocity and Acceleration, Power and Energy, Simple Pulleys, Physical Properties and States of Matter, Mass, Weight, Volume, Density, and Specific Gravity, |
| Oscillations, Waves, and Optics: Sound waves and their properties, Simple musical instruments, Rectilinear propagation of Light, Reflection, and refraction. Spherical mirrors and Lenses. Human Eye, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscopes, and Simple Pendulums. |
| Calorimetry and Thermodynamics: Siphons, Levers, Balloons, Pumps, Hydrometers, Pressure Cookers, Thermos Flask, Principle of Archimedes, Pressure Barometer, Effects of Heat, change of State and Latent Heat, Modes of transference of Heat, |
| Electricity and Magnetism: Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet, Static and Current Electricity, Measurement of temperature and heat, conductors and Non-conductors, Mariner’s Compass; Lightening Conductors, Safety Fuses, Ohm’s Law, Simple Electrical Circuits, Heating, Lighting and Magnetic effects of Current, Measurement of Electrical Power, Primary and Secondary Cells, Use of X-Rays. |
General Science Syllabus – Chemistry
| Preparation and Properties of Hydrogen, Oxygen, Nitrogen, and Carbon-Di-oxide, Oxidation and Reduction |
| The material used in the preparation of substances like soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and Gun-Powder |
| Carbon – different forms, Physical and Chemical changes. Symbols, Formulas, and simple Chemical Equations |
| Law of Chemical Combination (excluding problems). Properties of Air and Water, Acids, bases, and salts |
| Elements, Mixtures and Compounds, Fertilizers – Natural and Artificial, Elementary ideas about the Structure of Atom, Atomic, Equivalent and Molecular Weights, Valency. |
General Science Syllabus – Biology
| Basis of Life – Cells, Protoplasms and Tissues, Constituents of food, Balanced Diet, |
| Achievements of Eminent Scientists, Difference between the living and non-living, |
| Elementary knowledge of the Human Body and its important organs, |
| Food – Source of Energy for man, Growth and Reproduction in Plants and Animals, Common Epidemics, their causes, and prevention, |
| The Solar System – Meteors and Comets, Eclipses. |
General Studies Syllabus – History
| Freedom Movement in India, Bhoodan, Sarvodaya, National Integration and Welfare State |
| Basic Teachings of Mahatma Gandhi, A broad survey of Indian History, with emphasis on Culture and Civilisation |
| Elementary knowledge of Five Year Plans of India, Elementary study of Indian Constitution and Administration, Panchayati Raj |
| Forces shaping the modern world; Renaissance, Exploration, and Discovery |
| War of American Independence, French Revolution, Industrial Revolution, and Russian Revolution |
| Impact of Science and Technology on Society |
| Concept of one World, United Nations, Panchsheel, Democracy, Socialism and Communism, Cooperatives and Community Development |
| Role of India in the present world |
General Studies Syllabus – Geography
| Origin of Earth, Weathering – Mechanical and Chemical, Earthquakes, and volcanoes, Atmosphere and its composition, Temperature and Atmospheric Pressure. |
| Rocks and their classification, Planetary Winds, cyclones and Anti-cyclones, Humidity, Condensation, and Precipitation. |
| Major Natural regions of the World, Important Sea ports, and main sea, land, and air routes of India. Main items of Imports and Exports of India, Types of Climate. |
| The Earth, its shape and size, Lattitudes and Longitudes, Concept of time, International Date Line, Movements of Earth and their effects, Ocean Currents, and Tides. |
| Regional Geography of India – Climate, Natural vegetation. Mineral and Power resources, location and distribution of agricultural and industrial activities. |
General Knowledge Syllabus – Current Events
| Current important world events, Knowledge of important events that happened in India in recent years, Prominent personalities – both Indian and International including people associated with cultural activities and sports. |
It is not compulsory that the topics mentioned above will surely come in the examination. The question paper does not remain consistent, it changes every year. It may happen that the question paper will consist of a topic not discussed here.
Download the Hindi and English medium Syllabus of NDA General Ability Test Paper PDF from below:
| NOTE:- If you want anything else like e-books, practice questions, Syllabus, or any exam-related information, kindly let us know in the comment section below. |
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