An Examination will be conducted by the Union Public Service Commission on 21st August, 2011 for admission to the Army, Navy and Air Force wings of the NDA for the 128th Course, and for the 90th Indian Naval Academy Course (INAC) commencing from June 2012. The candidates Joining Indian Naval Academy would undergo 4 years B.Tech Course and would be given an opportunity to join Executive and Technical Branches of the Navy subject to availability of vacancies.
Last Date Of Receipt Of Applications :
Online : 9th May, 2011 till 11.59
Offline: 9th May, 2011.
For Far Flung areas : 16thMay, 2011.
Exam Date: 21st August, 2011
Educational Qualifications :
(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 of the 10+2 pattern of School Education or equilvalent 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 for this examination.
How to apply
(a) Candidates may apply online by using the website http://www.upsconline.nic.in
(b) Candidates may also apply Offline in the Common Application Form devised by the Commission for its examinations, which can be purchased from the designated Head Post Offices/ Post Offices throughout the country against cash payment of Rs. 30/- (Rupees thirty only).
Fee :
(a) Candiates applying Online (excepting SC/ST candidates who are exempted from payment of fee) are required to pay a reduced fee of Rs. 50/- (Rupees Fifty only) either by remitting the money in any Branch of SBI by cash, or by using net banking facility of SBI or by using Visa/Master Credit/Debit Card.
(b) (i) Candidates applying Offline (through Common Application Form) are required to pay a fee of Rs. 100/- (Rupees One Hundred only) through a single Central Recruitment Fee Stamp.
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 :–
Subject Code Duration Maximum Marks
Mathematics 01 2-½ Hours 300
General Ability Test 02 2-½ Hours 600
Total 900
SSB Test/Interview : 900
The papers in all the subjects will consist of objective type questions only.
Penalty for wrong answers :
There will be penalty (Negative Marking) for wrong answers marked by a candidate in the Objective Type Question Papers.
Centres of Examination :
The Examination will be held at the following Centres :
Agartala, Gangtok, Panaji, (Goa), Ahmedabad, Hyderabad, Patna, Aizawl, Imphal, Port, Blair, Allahabad, Itanagar, Raipur, Bangalore, Jaipur, Ranchi, Bareilly, Jammu, Sambalpur, Bhopal, Jorhat, Shillong, Chandigarh, Ochi, Shimla, Chennai, Kohima, Srinagar, Cuttack, Kolkata, Thiruvanan, Dehradun, Lucknow, Thapuram, Delhi, Madurai, Tirupati, , Dharwad, Mumbai, Udaipur, Dispur, Nagpur, Vishakhapatnam
Syllabus of the examination
PAPER-I Mathematics
(Code No. 01)
1. 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 nity. Binary system of numbers. Conversion of 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 ule 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 Sub-multiple angles. Inverse trigonometric functions. Applications- eight 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, llipse 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 n 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 ANDDIFFERENTIAL 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 ordot product of two vectors. Vector productor ross 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, cumulative frequency distribution – examples.Graphical representation – Histogram, PieChart, frequency polygon – examples.Measures of Central tendency – Mean,median and ode. Variance and standard deviation – determination and comparison. Correlation and regression.
Probability : Random experiment, outcomes and associated sample space, events, mutually exclusive and exhaustiveevents, impossible and certain events.Atom, Atomic, Equivalent and MolecularWeights, Valency.
Section ‘C’ (General Science)Difference between the living and non- living.Basis of Life – Cells, Protoplasms and Tissues.Growth and Reproduction in Plants andAnimals.Elementary knowledge of Human Bodyand its important organs.Common Epidemics, their causes and prevention.Food – Source of Energy for man. Constituentsof food, Balanced Diet.The Solar System – Meteors and Comets,Eclipses.Achievements of Eminent Scientists.
Section ‘D’ (History, Freedom Movementetc.)
A broad survey of Indian History, with emphasison 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-peratives 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 ndependence. 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 he 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. A in items of Import sand 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.
Intelligence and personality test
In addition to the interview the candidates will be put to Intelligence Tests both verbal and non-verbal, designed to assess their basic intelligence.
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 f unction 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 xtended 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 ncludedin this paper. The topics mentioned are not to be regarded as exhaustive and questions on topics of similar nature nonspecifically 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 agnet.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-ays.General Principles in the working of the f ollowing :Simple Pendulum, Simple Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, icroscope ,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 ydrogen,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, ement,Paints, Safety Matches, and Gun-Powder .Elementary ideas about the Structure
Facilitation counter for guidance of candidates :
In case of any guidance/information/clarification regarding their applications, candidature etc. candidates can contact UPSC’s Facilitation Counter near Gate ‘C’ of its campus in person or over Telephone No.011-23385271/011-23381125/011-23098543 on working days between 10.00 hrs. and 17.00 hrs.
For further details visit www.upsc.gov.in
