# NDA Syllabus 2020 Candidates who are applying for the vacancies of UPSC NDA Recruitment 2020 must check the following article in order to know a detailed syllabus which shall help candidates a lot during their preparation. We have provided subject-wise NDA Syllabus 2020 in this post also important topics for each section.

• As per the UPSC NDA 2020 Notification, there are two stages in the recruitment that includes a written test and SSB Interview.
• The UPSC NDA Exam 2020 is conducted for a total of 900 marks out of which 300 marks are for Mathematics and 600 marks are for General Ability.
• In this post, candidates can find the detailed information about the subject-wise syllabus and important topics to be studied.

## NDA Syllabus 2020

NDA Exam takes place in two separate papers – Mathematics and General Ability. The motive of these papers is to evaluate a student on his logical ability and general awareness. Go through the UPSC NDA Exam Pattern 2020 to know about marking scheme and pattern of the exam. The NDA Exam is going to be conducted on 19th April 2020.

### UPSC NDA Syllabus 2020 for Mathematics

The candidates can check the fully elaborated syllabus for NDA Mathematics in the table below:

 Sections UPSC NDA Maths Syllabus UPSC NDA Syllabus For ALGEBRA The 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. The binary system of numbers. Conversion of a number in the decimal system to a binary system and vice-versa. Arithmetic, Geometric and Harmonic Progressions Quadratic equations with real coefficients. The solution of linear inequations of two variables by graphs. Permutation and Combination Binomial theorem and its applications Logarithms and their applications. UPSC NDA 2020 Syllabus For MATRICES AND DETERMINANTS Types of matrices, operations on matrices The 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. NDA Syllabus For 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. NDA Syllabus For ANALYTICAL GEOMETRY OF TWO AND THREE DIMENSIONS Rectangular Cartesian Coordinate system Distance formula, An equation of a line in various forms, An angle between two lines, A distance of a point from a line An equation of a circle in standard and in general form Standard forms of parabola, ellipse, and hyperbola, Eccentricity and axis of a conic. The point in a three-dimensional space, the distance between two points Direction Cosines and direction ratios, Equation two points. Direction Cosines and direction ratios. g. The equation of a plane and a line in various forms. The angle between the two lines and the angle between the two planes. The equation of a sphere. NDA Syllabus For DIFFERENTIAL CALCULUS The concept of a real-valued function–domain, range, and the 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. The derivatives of the sum, product, and quotient of functions, The derivative of a function with respect to another function, A derivative of a composite function. Second-order derivatives Increasing and decreasing functions. Application of derivatives in problems of maxima and minima. NDA Syllabus For 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. General and particular solution of differential equations, The solution of the first order and first-degree differential equations of various types—examples. Application in problems of growth and decay. NDA Syllabus For 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 NDA Syllabus For STATISTICS AND PROBABILITY a. 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. b. 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.

### UPSC NDA Syllabus 2020 for General Ability Test

The General Ability Test for NDA comprises of two separate tests which are English Test & GK Test. The syllabus for both is given in the table below in detail:

 Part/Section NDA Syllabus NDA Syllabus For Part A – English The question paper in English is formed to understand and evaluate the student’s knowledge of the English language and its application/usage. The syllabus covers various aspects like: Grammar and usage, Vocabulary, Comprehension and cohesion in extended text to test the candidate’s proficiency in English. NDA Syllabus For Part B – General Knowledge The question paper on General Knowledge will broadly cover the subjects: Physics, Chemistry, General Science, Social Studies, Geography, and Current Events. NDA Syllabus For Part B – Physics Physical Properties and States of Matter, Mass, Weight, Volume, Density, and Specific Gravity, Principle of Archimedes, Pressure Barometer The 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, 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. NDA Syllabus for Part B – Chemistry Physical and Chemical changes. Elements, Mixtures, and Compounds, Symbols, Formulae and simple Chemical Equations, Law of Chemical Combination (excluding problems) Properties of Air and Water Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon dioxide, Oxidation and Reduction Acids, bases, and salts. Carbon— different forms Fertilizers—Natural and Artificial The material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches and Gun-Powder Elementary ideas about the structure of Atom, Atomic Equivalent and Molecular Weights, Valency. NDA Syllabus For Part B – General Science Difference between the living and non-living The basis of Life—Cells, Protoplasms, and Tissues Growth and Reproduction in Plants and Animals Elementary knowledge of 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. NDA Syllabus For Part B – Social Studies A broad survey of Indian History, with emphasis on Culture and Civilisation Elementary study of Indian Constitution and Administration Elementary knowledge of Five Year Plans of India Panchayati Raj, Co-operatives and Community Development. Bhoodan, Sarvodaya, National Integration and Welfare State, Basic Teachings of Mahatma Gandhi. 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 The concept of one World, United Nations, Panchsheel, Democracy, Socialism, and Communism Role of India in the present world. NDA Syllabus For Part B – Geography The Earth, its shape and size, Latitudes and Longitudes, Concept of Time, International Date Line, Movements of Earth and their effects, Origin of Earth Rocks and their classification; Weathering—Mechanical and Chemical Earthquakes and Volcanoes Ocean Currents and Tides The atmosphere and its composition; Temperature and Atmospheric Pressure, Planetary Winds, Cyclones, and Anti-cyclones; Humidity; Condensation and Precipitation; Types of Climate, Major natural resources of the world Regional Geography of India — Climate, Natural vegetation, Mineral and Power resources; location and distribution of agricultural and Industrial activities, Important Sea Ports, and major sea, land, and air routes of India, main items of Imports and Exports of India. NDA Syllabus For Part B – Current Events Knowledge of important events that have happened in India in recent years Current important world events Prominent personalities—both Indian and International including those connected with cultural activities and sports. 