NDA means National Defense Academy. Both boys and girls are permitted to write NDA examinations.
(i) For Army Wing of National Defence Academy :—12th Class
pass of the 10+2 pattern of School Education or equivalent
examination conducted by a State Education Board or a
University.
(ii) For Air Force and Naval Wings of National Defence
Academy and for the 10+2 Cadet Entry Scheme at the Indian
Naval Academy :—12th Class pass with Physics, Chemistry and
Mathematics of the 10+2 pattern of School Education or equivalent
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 for this examination.
Physical Standards:
Candidates must be physically fit according to physical standards
for admission to National Defence Academy and Naval Academy
Examination.
TWO-STAGE SELECTION PROCEDURE
Two-stage selection procedure based on Psychological Aptitude
Test and Intelligence Test has been introduced at Selection
Centres/Air Force Selection Boards/Naval Selection Boards. All
the candidates will be put to stage-one test on first day of reporting
at Selection Centres/Air Force Selection Boards/Naval Selection
Boards. Only those candidates who qualify at stage one will be
admitted to the second stage/remaining tests. Those candidates
who qualify stage II will be required to submit the Original
Certificates along with one photocopy each of : (i) Original
Matriculation pass certificate or equivalent in support of date of
birth, (ii) Original 10+2 pass certificate or equivalent in support of
educational qualification.
To be acceptable, candidates for the Army/Navy/Naval Academy
and Air Force should secure the minimum qualifying marks
separately in (i) Written examination as fixed by the Commission at
their discretion and (ii) Officer Potentiality Test as fixed by the
Services Selection Board at their discretion. Over and above
candidates for the Air Force, and all the SSB qualified candidates
as per their willingness, eligibility and preference for flying branch
of Air Force, should separately qualify the CPSS.
B. SYLLABUS OF THE EXAMINATION
PAPER-I
MATHEMATICS
(Code No. 01)
(Maximum Marks-300)
- ALGEBRA
Concept of set, operations on sets, Venn diagrams.
De Morgan laws, Cartesian product, relation, equivalence relation.
22
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
applications. 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 :
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. - 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 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 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 to another function, derivative of a
composite function. Second order derivatives. Increasing and
decreasing functions. Application of derivatives in problems of
maxima and minima.
23 - 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 equations, 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 a vector, scalar product or dot product of
two vectors. Vector product or cross product of two vectors.
Applications—work 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
(Code No. 02)
(Maximum Marks—600)
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.
24
Part ‘B’—GENERAL KNOWLEDGE (Maximum Marks—400)
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 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-
25
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. 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.
Section ‘F’ (Current Events)
Knowledge of Important events that have happened in
India in the recent years. Current important world events.
26
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
The SSB procedure consists of two stage Selection process - stage I and stage II. Only those candidates who clear the stage I
are permitted to appear for stage II. The details are :
(a) Stage I comprises of Officer Intelligence Rating (OIR) tests are
Picture Perception * Description Test (PP&DT). The candidates
will be shortlisted based on combination of performance in OIR
Test and PP&DT.
(b) Stage II Comprises of Interview, Group Testing Officer Tasks,
Psychology Tests and the Conference. These tests are conducted
over 4 days. The details of these tests are given on the website
joinindianarmy.nic.in.
The personality of a candidate is assessed by three
different assessors viz. The Interviewing Officer (IO), Group
Testing Officer (GTO) and the Psychologist. There are no separate
weightage for each test. The mks are allotted by assessors only
after taking into consideration the performance of the candidate
holistically in all the test. In addition, marks for Conference are
also allotted based on the initial performance of the Candidate in
the three techniques and decision of the Board. All these have
equal weightage.
The various tests of IO, GTO and Psych are designed to
bring out the presence/absence of Officer Like Qualities and their
trainability in a candidate. Accordingly candidates are
Recommended or Not Recommended at the SSB.