NDA Syllabus
UPSC
NDA/NA Entrance Exam Syllabus
In
NDA Written Exam there are two objective type question papers.
 The first paper is of mathematics (300 Marks)
 The second one is of general ability contains English200 marks and GK 400 Marks.
NDA Mathematics Syllabus
In
the mathematics portion exam paper contains the following sections. The student
must practice carefully for all the sections:
Sections

Concepts

Algebra

Concept of a 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,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 inequations of two variables by graphs,Permutation and Combination,Binomial theorem and its application,Logarithms and their applications.

Matrices and Determinants

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.

Trigonometry

,Properties of triangles. 
Analytical Geometry of two and three dimensions

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

Differential Calculus

Concept of a real valued function – domain,range and graph of a function,Composite functions,Derivative of function at a point,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.

Integral Calculus and Differential Equations

Integration as inverse of differentiation,Integration by substitution and by parts,Standard integrals involving algebraic expressions,Trigonometric,Exponential and hyperbolic functions,General and particular solution of a differential equation

Vector Algebra

Vectors in two and three dimensions,Magnitude and direction of a vector,Unit and null vectors addition of vectors,Scalar multiplication of vector

Statistics and Probability

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,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.

Maths Online Quiz

NDA General Ability Syllabus
The
General Ability paper is divided into two parts English and General Knowledge
which covers the following areas:
Part A – English


English Section

Grammar and usage,Vocabulary.Comprehension
Cohesion in extended text,Proficiency in English
Use of words

Part B – General Knowledge


Physics

Physical Properties and States of Matter,Mass,Weight,Volume,Density,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.

Chemistry

Physical and Chemical changes.,Elements Mixtures and Compounds Symbols Formulae,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.

History Freedom Movement

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.

Geography

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.

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.

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