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Defence Exam
Nationality: Apart from Indian origin, candidates from other
countries can also appear for NDA 2019 Candidates must either be.
- India citizen.
- Citizen of Bhutan.
- Citizen of Nepal.
- Tibetan refugee who came over to India before January
1, 1962, with the intention of permanently settling in India.
- Indian origin person migrated from Pakistan, Burma, Sri
Lanka and East African Countries of Kenya, Uganda, the United Republic of
Tanzania, Zambia, Malawi, Zaire and Ethiopia or Vietnam with the intention
of permanently settling in India.
Nationality : Apart from Indian origin, candidates from other
countries can also appear for NDA. Candidates must either be.
- Minimum Age : 15-1/2
years.(For Form Filling)
- Maximum Age : 18-1/2
years.(For Form Filling)
The date of birth will be calculated
as it is entered in the Matriculation or Secondary School Leaving Certificate
or in a certificate recognised by an Indian University as equivalent to
Matriculation.
Marital Sex: Candidates must be unmarried.
Gender: Only male candidates are eligible to apply for NDA.
Army Wing of Path Finder Defence Academy: Candidates
applying for Indian Army must have passed class 12/HSC in 10+2 pattern of
School Education or equivalent examination conducted by a State Education Board
or a University.
Air Force, Navy and Naval Academy of Path Finder Defence Academy: Candidates
applying for Air Force, Navy and Naval Academy must have passed class 12/HSC in
10+2 pattern of School Education with Physics and Mathematics conducted by a State
Education Board or a University.
Physical standard required for NDA: Candidates
appearing in NDA must be physically and mentally fit according to the
prescribed physical standards. A candidate recommended by the Services
Selection Board (SSB) will undergo a medical examination by a Board of Service
Medical Officers. Only those candidates will be will be declared qualified NDA
and admitted to the academy who is declared fit by the medical board. The
candidate must be in good physical and mental health and free from any
disease/disability which is likely to interfere with the efficient performance
of Military duties. The minimum acceptable height is 157 cm for Army, Navy and
Naval Academy while 162.5 cm for Air Force. For Gurkhas and individuals belonging
to hills of North-Eastern the minimum acceptable heights will be 5 cm less. For
more detail required physical standards candidates are advised to read the NDA
notification.
Paper-I Mathematics (Maximum Marks - 300) :
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.
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 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 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
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.
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 (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.
PART - B
SYLLABUS OF 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 mirros and lenses. Human eye.
Natural and artificial magnets: properties of a magnet.
Earth as a magnet.
Static and current electricity : Conductors and non
conductors. 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, Martiner's Compass, Lightining Conductors and Safety Flues.
Syllabus of General Science :
Basis of Life - Cells, Protoplasms and Tissues, Elementary knowledge of
human Body and its important organs, Food - Source of Energy for man,
Constituents of food, Balanced Diet, Achievements of Eminent Scientists,
Difference between the living and non-living, Growth and Reproduction in Plants
and Animals, Common Epidemics, their causes and prevention, The Solar System -
Meteors and Comets, Eclipes.
History: Freedom Movement in India, elementary
knowledge of five year plans of India, Bhootan, Sarvodaya, National Integration
and Welfare State, Basic Teachings of Mahatma Gandhi, A broad survey of Indian
History, with emphasis on Culture and Civilisation, Elementary study of Indian
Constitution and Administration, Panchayati Raj, Co-operatives and Community Development,
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 : Origin of Earth, Rocks and their
classification; Weathering - Mechanical and Chemical, Earthquakes and
volcanoes, 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,
Important Sea ports and main sea, land and air routes of India. Main items of
Imports and Exports of India, The Earth, its shape and size. Lattitudes and
Longitudes, Concept of time, International Date Line, Movements of Earth and
their effects, Ocean Currents and Tides, Regional Geography of India - Climate,
Natural vegetation. Mineral and Power resources; location and distribution of
agricultural and industrial activities.
Current Events: Current important world events,
Knowledge of Important events that have happened in India in the recent years,
prominent personalities - both Indian and International including those
connected with cultural activities and sports.
