NDA


Brief Overview   

What is NDA?

  • The National Defence Academy (NDA) is the Joint Services Academy of the Indian Armed Forces.
  • Cadets of the three services, The Army, The Navy, The Air Force are trained together. Later they go on to pre-commissioning training in their respective service academies.

The NDA campus is located about 17 km south-west of Pune city, North-West of Khadakwasla Lake. It spans 7,015 acres (28.39 km2) of the 8,022 acres (32.46 km2) donated by the Government of the former Bombay State. The site was chosen for being on a lakeshore, the suitability of the neighbouring hilly terrain, proximity to the Arabian Sea and other military establishments, an operational air base nearby at Lohegaon as well as the salubrious climate. The existence of an old combined-forces training centre and a disused mock landing ship, HMS Angostura, on the north bank of the Khadakwasla lake which had been used to train troops for amphibious landings, lent additional leverage for the selection of the site. Aptly, NDA is also located in the hunting grounds of the legendary Shivaji, with the Sinhagad Fort as a panoramic backdrop.

 

Eligibility Criteria

Eligibility:

(a) Nationality: A candidate must either be :

(i) a citizen of India, or

(ii) a subject of Bhutan, or

(iii) a subject of Nepal, or

(iv) a Tibetan refugee who came over to India before the 1st January, 1962 with the intention of permanently settling in India, or

(v) a person of Indian origin who has 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.

Provided that a candidate belonging to categories (ii), (iii), (iv) and (v) above shall be a person in whose favour a certificate of eligibility has been issued by the Government of India.

Certificate of eligibility will not, however, be necessary in the case of candidates who are Gorkha subjects of Nepal.

 Age Limits, Sex and Marital Status :

For NDA/NA (II) 2019 Exam: Only unmarried male candidates born not earlier than 2nd January, 2001 and not later than 1st January, 2004 (For NDA/NA- II 2019) are eligible

For NDA/NA (I) 2020 Exam: Only unmarried male candidates born not earlier than 2nd July, 2001 and not later than 1st July, 2004 (For NDA/NA- I 2020) are eligible.

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 equivalent 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.

Physical Standards:

Candidates must be physically fit according to physical standards for admission to National Defence Academy and Naval Academy Examination as per guidelines given in Appendix-IV of the notification.

 

Exam Pattern

NDA Exam Pattern for Mathematics and General Ability Test

NDA 2019 was conducted in offline mode and all the questions was of MCQ type. The exam is held in both English and Hindi language.

Details related to exam pattern from both the sections have been tabulated below:

Subject Paper Total No of Questions Duration of Exam Maximum Marks
Mathematics 1 120 2 ½ Hours 300
General Ability Test 2 150 2 ½ Hours 600
Total 270 900

After qualifying the NDA 2019 entrance test, all candidates have to appear for NDA Interview. Details are as below:

Second Round Duration Maximum Marks
SSB Interview 4-5 days 900

 

Important Dates

Here, the official NDA 2 dates of exam are given. It is announced by the UPSC.

Events Dates (Announced)
Releasing of Notification 7th August 2019
Starting of filling online application 7th August 2019
Last date to fill and submit application form 3rd September 2019
Availability of Admit Card 3 weeks prior to the exam
NDA 2 exam date 17th November 2019
Declaration of result Last week of December

 

Application Procedure

Step- 1: Apply online

  • Visit the official website 
  • A new page will be opened on the screen.
  • On the top right-hand side of the webpage, there are two links namely: “PART-I Registration” and “PART-II Registration”.
  • Click on Part – 1 Registration.

PART-I Registration:

  • As you click on the link of “Part-1 Registration”, a new webpage will appears on the screen. Here, Important Instructions to fill Online Application Form is given.
  • Part-1 registration is divided broadly into four pages.
  • Page- 1: Candidate’s Details (Registration)
  • Page- 2: Choosing the Branch Preferences
  • Page- 3: Verify Your Details
  • Page- 4: Generation of Registration ID

 

PART-II Registration:

It involves four steps:

  1. Fee Payment.
  2. Filling the Choice for Examination Centre.
  3. Uploading of Photograph.
  4. Uploading of Signature.

 

Key Features

  • The applicants submitted their form through online mode is not needed to send any document/certificate to the UPSC.
  • The message of final submission of the application form will be received by the candidates via e-mail.
  • “View/Print Application” link is available on the home page for viewing the submitted application form.

 

 Syllabus

Syllabus of Written Exam:

PAPER-I

MATHEMATICS

ALGEBRA

Concept of 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 17 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.

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

Part ‘A’—ENGLISH

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

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 19 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. The 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, 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.

 

 Preparation Resources

CLICK HERE FOR PREVIOUS YEARS PAPERS

 

Study Material and List of Books

 

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