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NDA Syllabus 2020

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NDA Syllabus 2020

Before getting into the details of NDA Syllabus 2020, let’s have an overview of NDA Exam:

Description Details
Exam Name UPSC NDA Exam
Conducting Body Union Public Service Commission (UPSC)
Exam Date 19th April 2020
Category NDA Syllabus
Official Website 

NDA Syllabus For All Subjects

The NDA Written Exam consists of two papers as given below:

  1. Paper I: Mathematics
  2. Paper II: GAT ( Part A: English & Part B: General Knowledge)

NDA Syllabus For Paper 1 (Maths)

The detailed NDA Syllabus for Maths is tabulated below:

Chapter Name NDA Syllabus For Maths
NDA Syllabus For ALGEBRA
  • a. The concept of set, operations on sets, Venn diagrams. De Morgan laws, Cartesian product, relation, equivalence relation. Representation of real numbers on a line.
  • b. Complex numbers—basic properties, modulus, argument, cube roots of unity.
  • c. The binary system of numbers. Conversion of a number in decimal system to a binary system and vice-versa.
  • d. Arithmetic, Geometric and Harmonic Progressions
  • e. 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.
  • a. Types of matrices, operations on matrices
  • b. The determinant of a matrix, basic properties of determinants
  • c. Adjoint and inverse of a square matrix,
  • d. Applications – Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method.
  • a. Angles and their measures in degrees and in radians.
  • b. Trigonometrical ratios
  • c. Trigonometric identities Sum and difference formulae. Multiple and Sub-multiple angles.
  • d. Inverse trigonometric functions.
  • e. Applications-Height and distance,
  • f. Properties of triangles.
  • a. Rectangular Cartesian Coordinate system
  • b. Distance formula, An equation of a line in various forms, An angle between two lines, A distance of a point from a line
  • c. An equation of a circle in standard and in general form
  • d. Standard forms of parabola, ellipse, and hyperbola, Eccentricity and axis of a conic.
  • e. Point in a three-dimensional space, the distance between two points
  • f. 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.

  • a. Notion of limit, Standard limits—examples.
  • b. Continuity of functions—examples, algebraic operations on continuous functions.
  • c. Derivative of function at a point, geometrical and physical interpretation of a derivative—applications.
  • d. Derivatives of the sum, product, and quotient of functions,
  • e. Derivative of a function with respect to another function,
  • f. Derivative of a composite function. Second order derivatives
  • g. Increasing and decreasing functions.
  • h. Application of derivatives in problems of maxima and minima.
  • a. Integration as inverse of differentiation,
  • b. Integration by substitution and by parts,
  • c. Standard integrals involving algebraic expressions, trigonometric, exponential and hyperbolic functions.
  • d. Evaluation of definite integrals— determination of areas of plane regions bounded by curves—applications.
  • e. Definition of order and degree of a differential equation,
  • f. Formation of a differential equation by examples.
  • g. General and particular solution of differential equations,
  • h. Solution of the first order and first-degree differential equations of various types—examples.
  • i. Application in problems of growth and decay.
  • a. Vectors in two and three dimensions,
  • b. Magnitude and direction of a vector
  • c. Unit and null vectors,
  • d. Addition of vectors,
  • e. Scalar multiplication of a vector,
  • f. Scalar product or dot product of two vectors
  • g. Vector product or cross product of two vectors.
  • h. Applications—work done by a force and moment of a force and in geometrical problems
  • 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.

NDA Syllabus For Paper 2 (General Aptitude Test)

NDA Written Exam Paper 2 has two sections the syllabus of which is tabulated below:

Part/Section NDA Syllabus
 NDA Syllabus For Part A – English The question paper in English will be designed to test the candidate’s understanding 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
  • a. Physical Properties and States of Matter, Mass, Weight, Volume, Density, and Specific Gravity,
  • b. Principle of Archimedes,
  • c. Pressure Barometer
  • d. Motion of objects, Velocity and Acceleration, Newton’s Laws of Motion, Force and Momentum, Parallelogram of Forces, Stability and Equilibrium of bodies,
  • e. Gravitation,
  • f. Elementary ideas of Work, Power, and Energy.
  • g. Effects of Heat, Measurement of Temperature and Heat, change of State and Latent Heat, Modes of transference of Heath. Sound waves and their properties, Simple musical instruments
  • i. Rectilinear propagation of Light, Reflection, and refraction. Spherical mirrors and Lenses, Human Eye.
  • j. Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet
  • k. 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
  • l. 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
  • a. Physical and Chemical changes.
  • b. Elements, Mixtures, and Compounds,
  • c. Symbols, Formulae and simple Chemical Equations,
  • d. Law of Chemical Combination (excluding problems)
  • e. Properties of Air and Water
  • f. Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon dioxide,
  • g. Oxidation and Reduction
  • h. Acids, bases, and salts. Carbon— different forms of i. Fertilizers—Natural and Artificial
  • j. The material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches and Gun-Powder
  • k. Elementary ideas about the structure of Atom, Atomic Equivalent and Molecular Weights, Valency.
 NDA Syllabus For Part B – General Science
  • a. Difference between the living and non-living
  • b. The basis of Life—Cells, Protoplasms, and Tissues
  • c. Growth and Reproduction in Plants and Animals
  • d. Elementary knowledge of Human Body and its important organs
  • e. Common Epidemics, their causes, and prevention
  • f. Food—Source of Energy for man. Constituents of food, Balanced Diet
  • g. The Solar System—Meteors and Comets, Eclipses
  • h. Achievements of Eminent Scientists.
 NDA Syllabus For Part B – Social Studies
  • a. A broad survey of Indian History, with emphasis on Culture and Civilisation
  • b. Elementary study of Indian Constitution and Administration
  • c. Elementary knowledge of Five Year Plans of India
  • d. Panchayati Raj, Co-operatives and Community Development. Bhoodan, Sarvodaya, National Integration and Welfare State, Basic Teachings of Mahatma Gandhi.
  • e. Forces shaping the modern world; Renaissance, Exploration, and Discovery;
  • f. War of American Independence, French Revolution, Industrial Revolution, and Russian Revolution
  • g. Impact of Science and Technology on Society
  • h. The concept of one World, United Nations, Panchsheel,
  • i. Democracy, Socialism and Communism
  • j. Role of India in the present world.
 NDA Syllabus For Part B – Geography
  • a. The Earth, its shape and size, Latitudes and Longitudes, Concept of Time, International Date Line, Movements of Earth and their effects, Origin of Earth
  • b. Rocks and their classification;
  • c. Weathering—Mechanical and Chemical
  • d. Earthquakes and Volcanoes
  • e. Ocean Currents and Tides
  • f. The atmosphere and its composition; Temperature and Atmospheric Pressure, Planetary Winds, Cyclones, and Anti-cyclones; Humidity; Condensation and Precipitation;
  • g. Types of Climate,
  • h. Major natural resources of the world
  • i. 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
  • a. Knowledge of important events that have happened in India in recent years
  • b. Current important world events
  • c. Prominent personalities—both Indian and International including those connected with cultural activities and sports.

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