NDA COACHING

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 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.	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 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
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 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 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 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

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