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# (Syllabus) : Syllabus of NDA Examination

**Syllabus
of NDA Examination**

Before we go on to find the details
of the syllabus of NDA Examination, it may do well for you to know that there
are two papers in NDA written test and both are objective type (multiple choice)
question paper:

Paper-1. Mathematics : 300 Marks. Duration-21/2
hours.

Paper-2. General Ability Test : 600 Marks.
Duration-21/2 hours.

Besides above total 900 marks, you need to compete for another 900
marks in SSB interview, after you qualify in the written test.__Syllabus of NDA Examination Paper-1.
Mathematics (300 Marks.)____1). 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 vice-versa. 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.__2). Matrices and Determinants:__

Types of matrices, operations on matrices Determinant of a matrix, basic
properties of determinant. 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.__3).Trigonometry:__

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.__4).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 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.__5).Differential Calculus:__

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 a function at a point,
geometrical and physical interpreatation 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.__6).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. 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.__7).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, 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.__8).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.
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.__Syllabus of NDA Examination Paper-2. General
Ability Test : 600 Marks:__

There are two parts in this paper :

Part â€˜Aâ€™ - ENGLISH (200 Marks) & Part â€˜Bâ€™ â€“ General Ability (400
Marks).__Syllabus of ENGLISH paper:__

The question paper in English will be designed to test the candidateâ€™s
understanding of English and workman like use of words. The syllabus covers
various aspects like: Grammar and usage, vocabulary, comprehension and cohesion
in extended text to test the candidateâ€™s proficiency in English.__Syllabus of General Ability paper:__

The question paper on General Ability broadly covers the subjects : Physics,
Chemistry, General Science, Social Studies, Geography and Current Events.

The syllabus given below is designed to indicate the scope of these subjects
included in this paper. The topics mentioned are not to be regarded as
exhaustive and questions on topics of similar nature not specifically mentioned
in the syllabus may also be asked. Candidateâ€™s answers are expected to show
their knowledge and intelligent understanding of the subject.__Syllabus of GK paper Section â€˜Aâ€™ (Physics): Aprox. 100 marks.__

Physical Properties and States of Matter, Mass, Weight, Volume, Density and
Specific Gravity, Principle of Archimedes, Pressure Barometer.

Motion of objects, Velocity and Acceleration, Newtonâ€™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, Ohmâ€™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, Marinerâ€™s Compass; Lightening Conductors, Safety Fuses.__Syllabus of GK paper Section â€˜Bâ€™ (Chemistry): Aprox. 60 marks.__

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.__Syllabus of GK paper Section â€˜Câ€™ (General Science): Aprox. 40
marks.__

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.__Syllabus of GK paper Section â€˜Dâ€™ (History, Freedom Movement etc.)
Aprox. 80 marks.__

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.__Syllabus of GK paper Section â€˜Eâ€™ (Geography) Aprox. 80 marks.__

The Earth, its shape and size. Lattitudes 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.__Syllabus of GK paper Section â€˜Fâ€™ (Current Events): Aprox. 40 marks.__

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.__SSB Interview (Intelligence and personality test):__

After qualifying in above written test, you have to appear in the SSB Interview
for 900 marks with details as given below:

In SSB interview, the candidates will be put to Intelligence Tests both verbal
and non-verbal, designed to assess their basic intelligence. They will also be
put to Group Tests such as group discussions, group planning, outdoor group
tasks, and asked to give brief lectures on specified subjects. All these tests
are intended to judge the mental caliber of a candidate. In broad terms, this is
really an assessment of not only his intellectual qualities but also his social
traits and interests in current affairs.

For any modifications in above syllabus, you need to consult the application
information brochure while applying for the NDA exam.

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