National Defence Academy & Naval Academy Examination

Training/Coaching/Tuition by A.A.Shah's IAS Institute Mumbai, Navi Mumbai View Contact

Request Info

Learn: NDA Exam

Category: Government/Civil Sector Exam

Eligibility: (Pre-requisites)

(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.

Medium of instruction:

English

UPSC NDA & NA (I) Notification 2013 – Apply Online for 355 Vacancies: Union Public Service Commission conducts National Defense Academy (NDA) & Naval Academy (NA) (I) Examination 2013 for entry into Army, Navy and Air Force wings of the NDA for the 131st Course, and for the 93rd Indian Naval Academy Course (INAC) commencing from 2nd January 2014. Eligible male candidates may apply through online on or before 21-01-2013. For more details like age limit, educational Qualification, how to apply, selection process and other details are given below.

UPSC NDA & NA Notification Vacancy details:

Number of Vacancies: 355

Names of the Wings:

1. Army: 195 vacancies

2. Air Force: 66 vacancies

3. Navy: 39 vacancies

4. Indian Naval Academy: 55 vacancies

HOW TO APPLY

Candidates are required to apply online . Brief instruction for filling up the online Application Form have been given in the Appendix-II. Detailed instructions are available on the website.

SELECTION PROCESS

Candidates will be selected based on written test followed by Psychological Aptitude Test and Intelligence Test, SSB Interview.

EXAM PATTERN

A.   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

2. THE PAPERS IN ALL THE SUBJECTS WILL CONSIST OF OBJECTIVE TYPE QUESTIONS ONLY. THE QUESTION PAPERS (TEST BOOKLETS) OF MATHEMATICS AND PART "B" OF GENERAL ABILITY TEST 

         WILL BE SET BILINGUALLY IN HINDI AS WELL AS ENGLISH.

3. In the question papers, wherever necessary, questions involving the metric system of Weights and Measures only will be set.

4. Candidates must write the papers in their own hand. In no circumstances will they be allowed the help of a scribe to write answers for them.

5. The Commission have discretion to fix qualifying marks in any or all the subjects at the examination.

6. The candidates are not permitted to use calculator or Mathematical or logarithmic table for answering objective type papers (Test Booklets). They should not therefore, bring the same inside the Examination Hall.

SYLLABUS

PAPER-I

MATHEMATICS

(Code No. 01)

(Maximum Marks- 300)

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 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  heorem 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. Trigonometrical 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 ANDTHREE 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, 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.

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 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-Powder. Elementary ideas about the Structure of Atom, Atomic, Equivalent and Molecular Weights, Valence.

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.

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 appoximately 25%, 15%, 10%, 20%, 20% and 10% weightages respectively.

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. They will also be put to Group Tests such as group discussions, group planning, outdoor group tasks, and asked to give brief lectures on specified subjects. All these tests are intended to judge the mental calibre of a candidate. In broad terms, this is really an assessment of not only his intellectual qualities but also his social traits and interests in current affairs.

 

 

Classroom - Regular
When	Duration	Where	Remarks	Price
Not Specified	Not Specified	All Venues	Not Specified	Price On Request

Mumbai, Fort (Head Office):- Guru Kripa, Bahubali, Cawasji Patel Street Behind People's Book House Fort, Mumbai - 400 001, Maharashtra, India


Mumbai, Dadar East (Branch):- 221, Gohartaj Dr. B. A. Rd., Hindmata Dadar East, Mumbai - 400 014, Maharashtra, India


Mumbai, Powai (Branch):- 139, 1st Floor, Powai Plaza Hiranandani Business Park, Near IIT Main Gate Powai, Mumbai - 400 076, Maharashtra, India


Mumbai, Thane (Branch):- Paranjpe Udhyog Bhavan, 3rd Floor, Above Khandelwal Sweets Opp Shiv Sagar Restaurant, Station Road Thane, Mumbai - 400 601, Maharashtra, India


Navi Mumbai, Nerul East (Branch):- B-112, Nerul Station Complex Nerul East, Navi Mumbai - 400 706, Maharashtra, India

A.A.Shah's IAS Institute

A. A. Shah’s IAS Institute is an institute dedicated to IAS aspirants in Mumbai. We have branches located at Fort, Dadar, Thane, Nerul & Powai near IIT B