Detailed Syllabus Of NDA

NDA (National Defence Academy) is the Joint Services Academy of Indian Armed Forces. UPSC conducts a national level exam called NDA Exam, held 2 times in a year. This exam is conducted for those candidates who want to join Indian Defence Forces. Gurukul Vidya Institute helps for those candidates who want to join NDA , Indian Army by providing best NDA Coaching in Chandigarh .We have complete information about NDA Syllabus 2017 that will be elaborated further.

NDA Exam has of two main sections: Mathematics & General Ability. Detailed syllabus of each of these sections is specified below for clear and deep understanding of candidates.

NDA Syllabus 2022:

1. Mathematics
   In NDA Exam Mathematics carries 300 marks and allotted two and a half hours to attempt this exam. Students are advised to practice carefully each and every sector of this exam.

 

Sections	Concepts
Algebra	Arithmetic, Geometric and Harmonic progressions Complex Numbers – basic properties, modules, arguments, cube roots of unity Binomial Theorem and its applications Representation of real numbers on a line Quadratic equations with real coefficients Permutation and Combination Conversion of numbers in decimal system and vice-versa Solution of Linear equations in two variables by graphs Binary system of numbers
Matrices & Determinants	Types of matrices Operations on matrices Determinant of a matrix Applications – Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method. Basic properties of determinants Adjoint and inverse of a square matrix
Trigonometry	Trigonometrical ratios, Inverse trigonometric functions, properties of triangles Derivative of function at a point, Derivatives of sum and Product and quotient of functions Trigonometric identities Sum and difference formulae Angles and their measures in degrees and in radians Applications – Height and distance, Multiple and Sub multiple angles.
Differential Calculus	Concept of a real valued function – domain,range and graph of a function Composite functions Derivative of a function with respect of another function Derivative of a composite function Application of derivatives in problems of maxima and minima. Second order derivatives Increasing and decreasing functions
Integral Calculus & Differential Equations	Integration by substitution and by parts, trigonometric, exponential and hyperbolic functions Definition of order and degree of a differential equation and formation of a differential equation by examples Solution of first order and first degree differential equations of various types. General and particular solution of a differential equation Evaluation of definite integrals – determination of areas of plane regions bounded by curves – applications ,Integration as inverse of differentiation, standard integrals involving algebraic expressions, Application in problems of growth and decay.
Analytical Geometry of 2D & 3D	Rectangular Cartesian Coordinate system Distance formula Equation of a circle in standard and in general form Equation of a line in various forms Standard forms of Ellipse ,hyperbola and parabola Angle between two lines Distance of a point from a line Eccentricity and axis of a conic
Vector Algebra	Vectors in two and three dimensions Scalar multiplication of vector Unit and null vectors Addition of vectors Magnitude and direction of a vector Scalar product or dot product of two-vectors Applications-work done by a force and moment of a force, and in geometrical problems Vector product and cross product of two vectors.
Statistics	Frequency distribution Measures of Central tendency – mean, median and mode Graphical representation – Histogram, Pie Chart, Frequency Polygon – examples, Classification of data, cumulative frequency distribution – examples, Correlation and regression ,Variance and standard deviation – determination and comparison.
Probability	Random experiment Events, Mutually exclusive and exhaustive events, Impossible and certain events Union & Intersection of events Outcomes and associated sample space Complementary, Elementary and Composite events Conditional probability Bayes’ theorem – simple problems, Random variable as function on a sample space Binomial distribution, random experiments giving rise to Binomial distribution.

 

Confused? Know everything about NDA Exam Pattern.

NDA Syllabus 2022: General Ability
General Ability section covers wide syllabus of English and General Knowledge. Total time given is two and a half hours and carries 300 marks.

Part A: English
English syllabus of NDA Exam covers topics such as vocabulary, grammar & usage and cohesion in extended text to test candidate’s proficiency in English. To know more about the format of this particular section, refer to NDA Exam papers.

Part B: General Knowledge
General Knowledge covers sections like Physics, Chemistry, Social Studies, Geography and Current Events.

Subjects	Syllabus Covered
Chemistry	Material used in the preparation of substances like soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and Gunpowder Law of Chemical Combination (excluding problems). Elements, Symbols, Formulas Mixtures and Compounds, and simple Chemical Equations Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon-Di-oxide, Oxidation and Reduction, Carbon – different forms Properties of Air and Water Acids, bases and salts Physical and Chemical changes. Fertilizers – Natural and Artificial Elementary ideas about the Structure of Atom, Atomic, Equivalent and Molecular Weights, Valency.
Physics	Physical Properties and States of Matter, Volume, Density, Mass, Weight and Specific Gravity, Pressure Barometer, Principle of Archimedes. Newton’s Laws, Motion of objects, Velocity and Acceleration, Force and Momentum, Power and Energy Stability ,Parallelogram of Forces, elementary ideas of work, and Equilibrium of bodies, Gravitation. Measurement of temperature and heat, Effects of Heat, Change of State and Latent Heat, Modes of transference of Heat. Simple musical instruments , Sound waves and their properties,. Reflection and refraction. Spherical mirrors rectilinear propagation of Light and Lenses. Human Eye. Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet. Ohm’s Law, conductors and Non-conductors, Simple Electrical Circuits, Static and Current Electricity, Heating, Lighting and Magnetic effects of Current, Measurement of Electrical Power, Primary and Secondary Cells, Use of X-Rays. 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	Basis of Life – Cells, Protoplasm and Tissues Elementary knowledge of human Body and it’s important organs Food – Source of Energy for man, Constituents of food, Balanced Diet Achievements of Eminent Scientists Difference between the living and nonliving Growth and Reproduction in Plants and Animals Common Epidemics, their causes and prevention The Solar System – Meteors and Comets, Eclipses
Geography	Origin of Earth, Rocks and their classification Weathering – Mechanical and Chemical, Earthquakes and volcanoes, Atmosphere and its composition Temperature and Atmospheric Pressure, Planetary Winds, cyclones and Anticyclones Humidity; Condensation and Precipitation Types of Climate. Major Natural regions of the World, Important Seaports and main sea, land and air routes of India. Main items of Imports and Exports of India The Earth, its shape and size. Latitudes 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.
History	A broad survey of Indian History, with emphasis on Culture and Civilisation Freedom Movement in India 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. Concept of one World, United Nations, Panchsheel, Democracy. Socialism and Communism. Role of India in the present world.
Current Events	Current important world events, Knowledge of Important events that have happened in India in the recent years, prominent personalities – both Indian and International including those connected with cultural activities and sports.

You must learn the exact weight-age of each of these sections by looking into previous NDA Exam papers to understand on how to prepare effectively. Keep up with tips to prepare NDA Entrance Exam.