NDA & NA Exam is the best entry point for all those who want to make a career into the Indian Armed Forces. The Exam is conducted twice a year in the months of April and September throughout the country at around 41 Centers by the UPSC. Those who qualify the written examination are issued call letters to attend the SSB interview at one of the Services Selection Board, followed by a medical examination.
Eligibility :
Education Qualifications –
Army Wing : Class 12th pass of 10+2 pattern. Commerce and Arts stream students are also eligible for Army Wing.
Air Force and Naval Wings :Class 12th Pass with Physics and Mathematics.
Note : Those who are appearing for Class 12th exam are also eligible provided they fulfill other requirements viz age etc.
Age limit – Minimum 16.5 years, maximum 19.5 years as on first day of the month the course is due to begin.
Sex & Marital Status – Only Unmarried Male candidates are eligible.
Centres of Examination :
Exam Centers for NDA exam
Eastern Zone  Western Zone  Southern Zone  Northern Zone  Central Zone 





NDA Exam Pattern – Scheme of Examination
1. The subjects of the written examination, number of questions, the time allowed and the maximum marks allotted to each subject are as follows
Paper  No. of Questions  Duration  Max. Marks 
Mathematics  120  2.5 hours  300 
General Ability  150  2.5 hours  600 
Total  270  5 hours  900 
2. The papers in all the subjects consist of objective type questions only.
PaperI Mathematics (Code No. 01) ( Maximum marks 300)
PaperII General Ability Test (Code No. 02) (Maximum marks 600) comprise the following
 Part A English( Maximum Marks – 200)
 Part B General Knowledge (Maximum Marks – 400)
General Ability Test has six sections with the breakup of 400 marks as below:
 Physics 100 marks.
 Chemistry 60 marks.
 General Science 40 marks.
 History, Freedom Movement etc. 80 marks.
 Geography 80 marks.
 Current Events 40 marks.
Complete Syllabus of NDA & NA Entrance Examination
Paper I MATHEMATICS
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 viceversa. 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.
2.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 Cramers 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 Submultiple 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 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.
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 equation, 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 vector, scalar product or dot product of twovectors. Vector product and cross product of two vectors. Applicationswork done by a force and moment of a force, and in geometrical problems.
8.Statistics and Probability
StatisticsClassification 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 candidates 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 candidates 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 exhaustive and questions on topics of similar nature not specifically mentioned in the syllabus may also be asked. Candidates 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, Newtons 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 Nonconductors, Ohms Law, Simple Electrical Circuits, Heating, Lighting and Magnetic effects of Current, Measurement of Electrical Power, Primary and Secondary Cells, Use of XRays.
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, Mariners 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 GunPowder.
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, Cooperatives 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 Anticyclones; 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 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.
Kindly Note
Out of maximum marks assigned to part B of this paper, questions on Sections A, B, C, D, E and F will carry approximately 25%, 15%, 10%, 20%, 20% and 10% weightages respectively.
Cut off Marks of NDA and NA Entrance Exam
NDA (I) Cut off for 2012:
The cutoff for written was 333
the SSB cutoff for the Army, Navy and Air Force was 695
NDA Cut off for 2011:
The written cutoff was 290
The SSB cutoff
For Army was 659
For Navy was 659
For IAF was 703
You need to score a minimum of 35% in both Maths & GAT also
How to Prepare for NDA Examination – Study Plan, Study Material and books for NDA & NA Entrance Exam Preparation :
Download links for books are given at the end of this post.
The Mathematics, Physics and Chemistry sections should be prepared from Class 12th books and Biology, Geography, History and Political Science should be prepared up to Class 10th level.
Mathematics – Stick to the syllabus. Class 11th and Class 12th NCERT Books should be more than enough. The aim here should be to attempt at many correct questions as possible. Remember this is an objective exam and you don’t have to write your answers line by line. Learning Speed mathematics will come handy. Try to solve the questions mentally most of the time. A candidate with a good command over concepts can score good marks in this subject. Once you are done with the syllabus , have a look at the previous years’ question papers to gauge the level of difficulty in the questions of Mathematics paper.
English – Improve your English – It carries 200 marks. Reading Newspapers and Watching English News on TV can set you apart from the majority of the candidates. It is highly recommended that you read either The Hindu or the Indian Express. This would help you not only in your written exam but even in your SSB Interview where you can impress your assessors and group with your knowledge and command over the English Language. For Improving your vocabulary We highly recommend candidates to buy Word Power Made Easy, this is the best book for Vocabulary Building for almost all competitive exams.
General Knowledge – Brush up your general knowledge. Not all candidates have a habit of reading newspaper daily, Yearbook and General Knowledge 2015 is recommended for such candidates.
Best Books for National Defence Academy Entrance Exam [ NDA – NA Exam ]
1. Pathfinder for NDA & NA Entrance Examination
This is the best book available in the market for NDA Aspirants. All the topics are covered with Complete explanation of the theory followed by solved examples. You will even find previous year solved questions at the end of every chapter .A thorough study of this book will guarantee success to anyone preparing for this exam. The mathematics portion is very well illustrated and included with solved examples. Utmost care has been taken to get the book free from any errors and the English part is accompanied by a good collection of Proverbs and Vocabulary.
Once you are done with the Pathfinder book, you may move on to this for Practice. Remember , Practice is very essential for any competitive exam. A ton of theory is useless unless it is backed by a lot pf Practice. This book gives a comprehensive list of questions that have been asked in the previous years chapter wise along with the explanatory answers to each of them. A must read for NDA Aspirants.
3. 10 Practice Sets for NDA/NA
This book contains 10 Practice sets and is recommended for those who want to do practice questions of the same level as that asked in the Examination.
Tips and tricks for NDA Exam Preparation
 While Studying, Prepare your notes in your own handwriting and jot down important points to remember.
 Review the knowledge you have gained by assessing yourself through self tests weekly .
 Analyse your self test results carefully. You would have committed some silly mistakes. Try to avoid them next time.
 On completing the subject you should go for practice tests as it will give you first hand experience of your knowledge depth, speed and
accuracy, and will also boost your confidence.  Keep a quick revision sheet for important mathematics points and formulae.
 Revise basic grammar rules from a reliable source. Wren and Martin Grammar book is a good option.
 Understand Physics topics and concepts and also their applications
 Chemistry basic concepts and understand the various classifications
 General Science consists of general biology and Environmental science with reference to the current situation.
 Preparing for History and Civics – emphasis should be more on Indian freedom struggle, Constitution of India.
 Geography – Earth characteristics, atmosphere , latitude, longitude etc.
 Practice sample papers/previous year papers to understand the style and pattern of questions and to identify your weak areas.
 As exams approach focus more on your weak areas and have a brief revision of topics you have mastered
 Lastly, during the exam Don’t bluff. Answer only those questions of which you very sure of to avoid negative
marking. Guesses are not going to pay here. Many candidates don’t clear the cut off’s because of Negative marking.
Downloads :
1. Download Previous Year Papers of National Defence Academy & Naval Academy Exam – 2009 to 2014
2. Medieval and Modern History TN Board – Download Medieval & Modern History book in PDF
3. Physics NCERT – Download NCERT Physics in PDF
4. Chemistry NCERT – Download NCERT Chemistry in PDF
5. Biology NCERT – Download NCERT Biology in PDF
6. Geography NCERT – Download NCERT Geography in PDF
7. Mathematics NCERT – Download NCERT Mathematics in PDF, English Medium – Class 11th , Class 12th part 1, Class 12th part 2
Hindi Medium – Class 11th, Class 12th Part 1, Class 12th part 2
8. Indian Polity NCERT – Class 9th, Class 10th
Comprehensive List of Books for NDA & NA Entrance Exam Preparation:
Buy best books, study material, solved question papers, guides for preparation of NDA written exam online as they are available at Huge discounts. Pay Cash on Delivery. Free Shipping.
Life at National Defence Academy
NDA and CDS both are nice platform for all those students who want to make a career into the Indian armed forces like Army, Air force and Navy. In this post mention many great tips for NDA exam preparation.