(Syllabus) NDA : Syllabus and Scheme of Examination
NDA : Syllabus and Scheme of Examination
A. Scheme of
Examination
1.
The subjects of the written examination, the time allowed and the maximum marks
allotted to each subject will be as follows :Ã¢â‚¬â€œ
Subject 
Code 
Duration 
Maximum Marks 
Mathematics 
01 
2Ã‚Â½ Hours 
300 
General Ability Test 
02 
2Ã‚Â½ Hours 
600 


Total 900 
2. The papers in all the subjects
will consist of objective type questions only. The question papers (Test
Booklets) OF MATHEMATICS AND PART "b" OF GENERAL ABILITY TESTS WILL BE
SET BILINGUALLY IN HINDI AS WELL AS ENGLISH.
3. In the question papers, wherever
necessary, questions involving the metric system of Weights and Measures only
will be set.
4. Candidates must write the papers
in their own hand. In no circumstances will they be allowed the help of a scribe
to write answers for them.
5. The Commission have discretion
to fix qualifying marks in any or all the subjects at the examination.
6. The candidates are not permitted
to use calculator or Mathematical or logarithmic table for answering objective
type papers (Test Booklets). They should not therefore, bring the same inside
the Examination Hall.
B.
Syllabus of the Examination
Mathematics (Code No. 01)
(Maximum Marks  300) PaperI
1Algebra
:
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.
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 Submultiple 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 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.
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
twovectors. Vector product and cross product of two vectors. Applicationswork
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.
General Ability Test (Code No. 02)
PaperII
(Maximum
Marks600)
Part 'A'
 ENGLISH (Maximum Marks
200). The question paper in English will be designed to test the
candidate'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 candidate's proficiency in English.
Part
'B'  GENERAL KNOWLEDGE
(Maximum Marks400)
The question paper on General
Knowledge will broadly cover 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.
Candidate's answers are expected to show their knowledge and intelligent
understanding of the subject.
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
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, 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.
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
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
sports.
NOTE
: Out
of maximum marks assigned to part 'B' of this paper, questions on Sections 'A',
'B', 'C', 'D', 'E' and 'F' will carry approximately 25%, 15%, 10%, 20%, 20% and
10% weightages respectively.
Intelligence
and personality test
In addition to the interview the
candidates will be put to Intelligence Tests both verbal and nonverbal,
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 more details visit :
Appendix
I Scheme, standard and syllabus
Appendix
II General Instructions
Appendix
III List of Post Offices where Application forms are available
Appendix
IVSpecial Instructions to candidates for
objective type tests
Appendix
V Physical Standards for Candidates
Appendix VI Brief Particulars of service
Courtesy : upsc.gov.in