Upsc Invites
Online Application For NDA EXAMINATION II OF
375 VACANCIES OF ARMY, NAVY AND AIR FORCE. INTERESTED CANDIDATES CAN APPLY UPSC
ONLINE APPLICATION FOR NDA 2015 .
POSTS
BREK UP
Total No of Posts: 375:
National Defence Academy: 320
Posts
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Naval
Academy [10+2] Cadet Entry Scheme: 55 Posts
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Army: 208 Posts
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Navy: 42 Posts
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Air Force: 70 Posts
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AGE :-
Candidates
should born not earlier than 02-01-1997 and not later than 01-01-2000.
EDUCATIONAL
QUALIFICATION:
Candidates should Pass 12th Class of
the 10+2 pattern of School Education or equivalent examination conducted by a
State Education Board or a University 12th Class pass of the 10+2 pattern of
School Education or equivalent with Physics and Mathematics conducted by a
State Education Board or a University for Air Force and Naval Wings of National
Defence Academy and for the 10+2 Cadet Entry Scheme at the Indian Naval
Academy.
DATES TO BE REMEMBER:
Starting Date to Apply Online: 20-06-2015
Last Date to Apply Online: 17-07-2015 by 11:59 P.M.
Last Date for Payment of Fee through Offline: 16-07-2015 by 23.59 hrs.
Last Date for Payment of Fee through Online: 17-07-2015 by 23.59
Last Date for Payment of Fee through Offline: 16-07-2015 by 23.59 hrs.
Last Date for Payment of Fee through Online: 17-07-2015 by 23.59
Date of Written Examination: 27-09-2015.
PAPER-I: MATHEMATICS (Maximum
Marks- 300)
1.
ALGEBRA: Concept of set, operations on sets, Venn diagrams. De Morgan
laws. Cartesian product, relation, equivalence relation. Representation of real
numbers on a line. Maple 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 in equations of two variables by graphs. Permutation and Combination.
Binomial theorem and its applications. Logarithms and their Applications.
2.
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.
3.
TRIGONOMETRY: Angles and their measures in degrees and in radians.
Trigonometrically 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 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 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.
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 equations, 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 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.
8.
STATISTICS AND PROBABILITY: Statistics: Classification of data,
Frequency distribution, And 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’ – 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 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,
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 Carbon
dioxide, 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.
Section
‘C’ (General Science): Difference
between the living and non- living. Basis of Life – Cells, 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. 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 Civilizations.
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. 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 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. Prominent personalities –
both Indian and International including those connected with cultural
activities and sports.