NDA is conducted by UPSC for dynamic candidates on numerous posts intoArmy, Air Force and Naval Wings .Thousands of candidates seems during this examination and got elect on the premise of their skills. Aspirants who are willing to crack the NDA examination If offer the complete attention on every and each topic then they get to attend the within the correct and proper approach and that they can qualify the exam with a good cut off marks.
NDA Syllabus
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:
Metahmetaics Section of NDA Syllabus 2016 Consists the following topics:
Algebra:  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 viceversa
 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.
 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
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

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 twovectors
 Vector product and cross product of two vectors
 Applicationswork 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

Trigonometry:  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 Submultiple 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 2016 contains two parts i.e. English and General Knowledge:
Part A – English 
 Grammar and usage
 Vocabulary
 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 Nonconductors, Ohm’s Law, Simple Electrical Circuits, Heating, Lighting and Magnetic effects of Current, Measurement of Electrical Power, Primary and Secondary Cells, Use of XRays.
 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 GunPowder.
 Elementary ideas about the Structure of Atom, Atomic, Equivalent and Molecular Weights, Valency.

Section C: General Science
 Difference between the living and nonliving
 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, Cooperatives 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 Anticyclones; 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

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