NDA Syllabus 2019 PDF in Hindi Download Exam i & ii Entrance Exam Pattern

NDA Syllabus

Union Public Service Commission (UPSC) has announced syllabus pdf for National Defence Academy (NDA) exam applied
posts. Interested applicants are now at right site to obtain NDA Syllabus. We are also giving the latest acknowledgements regarding National Defence Academy (NDA) Syllabus for upcoming exams so that candidates may simply crack this Exam with merit marks. This Syllabus is very vital to the citizens who are preparing for the National Defence Academy Exam.

Applied applicants go to the official website of Union Public Service Commission which is www.upsc.gov.in and search the link National Defence Academy or NDA syllabus on website. Here we are also delivering an option to download syllabus. Dear applicants who are preparing for NDA Exam, they need to check the Exam Paper-Pattern under the National Defence Academy syllabus to prepare exam that is provided here.

Numerous candidates are preparing for the exam. Desirable candidates who applying for NDA Exam and discovering the NDA syllabus they may download it here and get additional information which is written by expert team of Olpx.  We have complete description about your syllabus. If you prepare yourself by this syllabus you can clearly get an idea to grab this exam.

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  • NDA Exam Paper Pattern
  • NDA Exam Syllabus

NDA Entrance Exam Paper Pattern

As you know UPSC will conduct Psychological Aptitude Test, Intelligence Test and Interview for NDA II exam. There are total 900 marks for both written test and interview. NDA Paper scheme and syllabus is below –

NDA Exam Scheme:
Subject Code
Time Duration
Total Marks
2:30 hours
General Ability Test
2:30 hours
SSB Test/Interview

NDA Syllabus Overview

The Written Exam consists of two objective type papers.
  • The first paper is of mathematics (300 Marks)
  • The second one is of general ability (600 Marks)
  • The exam conducted in the duration of 2.5 hours
  • Complete NDA Syllabus for both the sections is modified below:

Syllabus for Mathematics:

Mathematics Section of NDA Syllabus consists the following topics: 
Statistics and Probability:
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 and 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 in equations of two variables by graphs
Permutation and Combination
Binomial theorem and its application
Logarithms and their applications.
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
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
Matrices and Determinants:
Vector Algebra:
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.
Vectors in two and three dimensions, magnitude and direction of a vector
Unit and null vectors, addition of vectors, scalar multiplication of vector, scalar product or dot product of two-vectors
Vector product and cross product of two vectors
Applications-work done by a force and moment of a force, and in geometrical problems
Differential Calculus:
Integral Calculus and 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 of another function, derivative of a composite function
Second order derivatives. Increasing and decreasing functions
Application of derivatives in problems of maxima and minima
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 a differential equation, solution of first order and first degree differential equations of various types – examples
Application in problems of growth and decay
Analytical Geometry of two and three dimensions:
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
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 of a plane and a line in various forms
Angle between two lines and angle between two planes
Equation of a sphere
Syllabus for General Ability Test:
General Ability Section of NDA Syllabus contains two parts i.e. English and General Knowledge:
Part A – English
Grammar and usage
Comprehension and cohesion in extended text to test the candidate’s proficiency in English
Part B – General Knowledge
Section A: Physics
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, 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.
Section 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 Carbondioxide, Oxidation and Reduction.
Acids, bases and salts.
Carbon – different forms.
Fertilizers – Natural and Artificial
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.
Section C: 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 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
Section D: History, Freedom Movement, etc.
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.
Section E: 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
Atmosphere and its composition; Temperature and Atmospheric Pressure, Planetary Winds, cyclones and Anti-cyclones; Humidity; Condensation and Precipitation; Types of Climate. Major Natural regions 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 main sea, land and air routes of India.
Main items of Imports and Exports of India.
Section F: Current Events
Knowledge of Important events that have happened in India in the recent years
Current important world events
Prominent personalities – both Indian and International including those connected with cultural activities and sports.
Note: You are also suggested to follow the official link to get the full details. Candidates must study Content in PDF file type through Official Link.

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