Recruitment of candidates to Army, Navy and Air
force wings of the National Defence Academy (NDA),
is through National Defence Academy Entrance Exam
which is held twice a year, generally in the month
of April and September. NDA exam is conducted by
the UPSC. A candidate must be an unmarried male.
The course of
training is for three years.
INTRODUCTION
Combined
Defence Service exam is conducted
by UPSC twice every year for recruitment
to office cadre of the Army, Navy
and Air force. CDS exam is conducted
generally in the months of May and
October
.
ELIGIBILITY
Age and Marital Status
A
candidate must be an unmarried
male and have attained the age
of 16 1/2 years and must not
have attained the age 19 years
on the 1st January or 1st of
July of the year succeeding
the year of examination.
Candidates
must not marry until they complete
their full training.
A candidate who marries subsequent
to the date of his application,
though successful will not be
selected for training.
A candidate
who marries during training
shall be discharged and will
be liable to refund all expenditure
incurred on him by the Government.
Educational
Qualifications
(1) For Army Wing of
National Defence Academy: 12th Class pass of 10+2
pattern of School Education or equivalent
examination conducted by state education Board or a University.
(2) For Air Force and Naval Wings of National
Defence Academy and for the 10+2 (Executive
Branch) course at the Naval Academy: 12th Class
pass of the 10+2 pattern of a School Education or equivalent
with Physics and Mathematics conducted by a State
Education Board or a University. Candidates who
are appearing in the 12th Class under the 10+2
pattern of School Education or equivalent
examination can also apply.
APPLICATION
Blank application forms and other particulars are
published by UPSC in leading newspapers and
Employment News in the month of March and
September. A candidate seeking admission must
apply to The Secretary,
UPSC, Dholpur House, Shahjahan Road, New Delhi
110069 on prescribed application form. The
application forms are available on payment from
any of the designated post office throughout the
country.
In case of any difficulty in application
forms from the designated post
offices the candidates can contact
the concerned post master or UPSC's
"Forms Supply Monitoring
Cell". Phone : 011 23389366
Fax : 01123387310.
More
details can be obtained from the
website www.upsc.gov.in
SELECTION
Plan
of the Examination
The examination
comprises:
(i) Written Examination
(ii) Intelligence, obstacles and
Group Tests by Services Selection
Board of the candidates, who qualify
the written examination.
Examination
Subjects
The subjects
of the written examination, the
time allowed and the maximum marks
allotted to each subject will
be as follows:





Mathematics
General Ability Test (English, General
Knowledge
and Science) 





Centres of examination
are
Agartala, Ahmedabad, Aizawl,
Allahabad, Bangalore, Bareilly, Bhopal, Calcutta,
Chandigarh, Chennai, Cochin, Cuttack, Delhi,
Dharwar, Dispur (Guwahati), Gangtok, Hyderabad,
Imphal, Itanagar, Jaipur, Jammu, Jorhat, Kavaratti
(Lakshadweep), Kohima, Lucknow, Madurai, Mumbai,
Nagpur, Panaji (Goa), Patna, Port Blair, Raipur,
Sambalpur, Shillong, Shimla, Srinagar, Tirupati,
Trivandrum, Udaipur and Vishakhapatnam. The
centres and the date of holding the examination
are liable to be changed at the discretion of the
Commission.
Interview:
Those who qualify the
written test, has to undergo an interview. The
objective of the interview is to assess the
personal suitability of the candidate.
Intelligence and
Personality Test:
In addition to the
interview, the candidates will be put to
intelligence test of both verbal and nonverbal
nature, designed to assess their basic
intelligence. They also have to undergo group
tests, such as group discussions, groupplanning,
outdoor group tasks and asked to give brief
lecturers on specified subjects. All these tests
are intended to judge the mental caliber of a
candidate.
SYLLABUS OF N D A Exam
Paper I
Mathematics
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 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.
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.
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.
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.
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.
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.
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.
Paper II
General Ability Test
Part A English
The question paper in
English will be designed to test the candidate's
understanding of English and workmanlike use of
words. The syllabus covers various aspects like:
Grammar and usage, vocabulary, comprehension and
cohesion in extended texts to test the candidate's
proficiency in English.
Part B General
Knowledge
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 the 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:
Measurements 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 ,
Lightning 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 Carbon dioxide,
Oxidation and Reduction.
Acids, Bases and Salts.
Carbondifferent forms. FertilizersNatural and
Artificial.
Materials used in the preparations 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 LifeCells, Protoplasm's and Tissues.
Growth and Reproduction in Plants and Animals.
Elementary knowledge of human body and its
important organs. Common Epidemics, their causes
and prevention.
FoodSource of energy for man. Constituents of
food Balanced diet.
The Solar SystemMeteors and Comets, Eclipses.
Achievements of Eminent Scientists.
Section D History, Freedom Movement, etc.
A broad survey of Indian History, with emphasis
on Culture and Civilization.
Freedom Movement in India.
Elementary study of Indian Constitution and
Administration.
Elementary knowledge of FiveYear 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 IndiaClimate, 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 personalitiesboth Indian and
International, including those connected with the
cultural activities and sports.
