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NDA Syllabus 2019 UPSC NDA NA I/II (Maths, GAT) Syllabus PDF Download

NDA Syllabus

Individuals those who are going to attend the National Defence Academy I Exam (21-04-2019) are required to download NDA Syllabus. On this web page, you will get the complete UPSC NDA NA I/ II (Maths, GAT) Syllabus respectively.  

You can also download NDA syllabus 2019 PDF just by pressing the mentioned below links. Those applicants who face some difficulty in English language they can download NDA syllabus in Hindi. Along with the NDA exam syllabus PDF, you will get the exam pattern too.

UPSC National Defence Academy Syllabus 2019:

With the help of NDA 2019 Syllabus, candidates can cover all the important topics. For better exam preparation, you can solve previous year papers/ model papers or attend online mock test to improve your confidence and knowledge level.

Candidates can download NDA Syllabus 2019 by following below important steps. You can get UPSC NDA & Naval Academy Syllabus and NDA/NA (I/II) Exam Pattern directly by going through this page which is created by the team members of www.recruitmentinboxx.com

NDA Syllabus

NDA 2019 Syllabus Overview:

Organization NameUnion Public Service Commission (UPSC)
Examination NameNational Defence Academy and Naval Academy Examination
Apply ModeOnline
Closing date to apply04-02-2019
NDA I exam Date21-04-2019
CategoryNDA 1 Syllabus 2019
Job LocationAcross India
Official Websitewww.upsc.gov.in

UPSC NDA Mathematics Syllabus 2019:

NDA Exam Syllabus for Maths consists the following topics:

UPSC Naval Academy exam
syllabus 2019 Algebra
Syllabus Of NDA Exam 2019
Statistics and Probability
  • 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 and 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 application
  • Logarithms and their applications.

  • 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


  • 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
NDA Exam Syllabus 2019
Matrices and Determinants
NDA Syllabus 2019 for
Vector Algebra
  • 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.
  • 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 two-vectors
  • Vector product and cross product of two vectors
  • Applications-work done by a force and moment of a force, and in geometrical problems
NDA Exam Syllabus 2019 Differential CalculusSyllabus Of NDA 2019  Integral Calculus and  Differential Equations
  • 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 of another function, derivative of a composite function
  • Second order derivatives. Increasing and decreasing functions
  • Application of derivatives in problems of maxima and minima
  • 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
UPSC NDA Syllabus 2019
NDA 2019 Syllabus  Analytical Geometry of two and three dimensions
  • 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
  • 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

National Defence Academy Syllabus for General Ability:

NDA Exam Syllabus contains two parts i.e. English and General Knowledge:

Part A- NDA syllabus for English

Grammar and usage
Comprehension and cohesion in extended text to test the candidate’s proficiency in English

Part B – NDA Exam Syllabus for General Knowledge

Section A: NDA syllabus for 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: NDA syllabus for 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, Valency.

Get here Free Practice Quiz: Online Chemistry Quiz

Section C: NDA syllabus for 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

Read This: How to Prepare For NDA Written Exam

Section D: NDA Syllabus for 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: NDA Syllabus for 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: NDA Syllabus for 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.

Read Out Latest Updates: GK Current Affairs

NDA Exam Study Material

NDA Exam Pattern 2019

Contenders whpo are going to appear in the National Defence Academy Exam are required to check the complete NDA Exam Pattern and Detailed NDA Syllabus to qualify the examination. Shortlisted contenders after the declaration of the written examination will participate in NDA Interview on scheduled date.

UPSC NDA NA Exam pattern for paper I

PaperSubjectTotal Marks
Matrices and Determination
Analytical Geometry
Differential Calculus
Integral Calculus and Differential Equations
Vector Algebra
Statistics and Probability

UPS NDA Paper Pattern II

PaperSubjectTotal Marks
General Ability testEnglish600
General Knowledge

Marking scheme of NDA NA Examination:

  • There will be negative marking for every incorrect answer.
  • For each wrong answer 0.33 marks will be reduced as penalty
  • If more than one answer for each question has been given by candidates then they have to bear same penalty.
  • If any applicants have not attempt any question then no extra marks will be deducted

Press Here To Download NDA Syllabus PDF

Press Here To Check NDA Syllabus Official Link

NDA Preparation Books

After checking complete NDA Syllabus candidates Must refer below provided best books for NDA Preparation to make preparation for the examination-

Books nameName of Author /Publication
History Of Modern India (History)Bipan Chandra
Indian Economy Performance and Policies (Economic Development – GS3)Uma Kapila
Ethics, Integrity and Aptitude for Civil Services Main Examination ( Ethics – GS4)Subba Rao
Indian Economy (Economy)Ramesh Singh
Science and Technology in India (Science and Technology)Kalpana Rajaram : Spectrum
Environmental Studies from Crisis to Cure 2nd Edition (Environmental Studies)R.Rajagoplan
Contemporay Essays (Essay Paper)Ramesh Singh
India’s Foreign Policy (Foreign Policy – GS2)Muchkund Dubey
Oxford School Atlas (Geography)Oxford
Indian Polity for Civil Services Examinations (Polity)M. Laxmikanth
Social Problems In India (Indian Society – GS1)Ram Ahuja
History of Modern World (World History – GS1)Jain and Mathur
Pax Indica (Foreign Policy – GS2)Shashi Tharoor

Know Here: How To Join NDA After 12th

Tips to Prepare for NDA NA Exam 2019

  • The first step is to collect the study material like syllabus, Notes, NDA Previous Year Question Paperand books etc.
  • For qualifying English paper, you English must be correct, which include your speaking skills as well as grammar.
  • You must know the shortcuts of calculation and in mathematics to solve questions in few seconds.
  • Also you must be healthy with good physique, so that you can serve to your nation.
  • Make your General knowledge strong by reading newspaper and watching TV.
  • You can take coaching and also prepare with the help of your friends and NDA Exam’s Guides.
  • Read newspaper daily to fluent you English as well increase you knowledge.
  • Use best preparation books for NDA exam.
  • Practice daily with online mock test.
  • Practice hard to deduct week points.
  • Solve NDA NA previous year papers as it will make you more efficient and also increase your speed.

Check Below Links To Prepare Subject Wise:

National Defence Academy Exam 2019

National Defence Academy is the joint service academy of Indian Armed Forces. In National Defence Academy applicants are selected by the Written Exam conducted by UPSC and Interview conducted by SSB.

SSB Interview is conducted in some parts such as General Aptitude, Psychological Test and Group Testing Officer Test. These tests are divided in some more parts and interview is conducted in 5 days.

If you are 12th passed with science, you can apply for NDA Exam. NDA Exam Syllabus is not tuff but the questions asked in exam are tricky. So you need to prepare in depth to each subject and Topic as given in NDA Syllabus 2019 for getting better marks in exam.

Press Here For NDA Syllabus PDF

Important Date:

Events Date
Date of notification09-01-2019
Last date to apply for NDA NA I Exam04-02-2019
N.D.A. & N.A. Examination (I), 201921-04-2019


We the team of www.recruitmentinboxx.com wishing you All the Best for your examination and hope that the above given NDA Syllabus 2019 will help you in your preparation. For more details related to Examination must navigate through official link. Candidates may also bookmark this page by using ctrl+d key from their keypad to make use of this NDA Exam Syllabus PDF in future period.

You May Also Like To Check This Section

NDA Application FormNDA Eligibility Criteria
UPSC Study MaterialUPSC Interview Questions and Answers
NDA Coaching CentersNDA Exam Preparation Books
NDA Exam CentersUPSC Notification


  1. sir i had comleted my 12 with bio ,physics and chemistry can I give the nda exam

  2. Sir after interview and physical which paper conduct for air force and army

    • Hii Gautam,
      After Physical Test, Interview and Final Judgement Day, no more selection process will be carried out.

  3. Sir , can I give history & geography’s papers in our own language / Marathi..

  4. Komal chaudhary

    Can girls also apply for NDA…. if yes then plzz let me know the syllabus for science stream

  5. you have provided good information best of my knowledge,can you tell me good boks

  6. Abhishek Kumar Singh

    What the syllabus for art student in Indian army. Sir art stream Indian army exam change questions Navy and air force

  7. Can a commerce student apply for the NDA examination?

  8. Sir my birthdate is 23.6 2001 and my 12th year group is PCB. then can I apply for NDA?


  10. Baharul Islam Mazumder

    If I am applicable for NDA then please give me some information
    I need your help and also I wait for your info or advice sir

  11. hii sir …i want nda books can you suggest name please….

  12. a person suffer from myopia can apply nda

  13. Sir I failed in 11th class.can I apply for NDA.

  14. Hi sir I am Saurabh Gupta from Jaunpur I recently passed 10+2 with 52% may I eligible to join NDA Army

  15. Jitendrapal Singh rajput

    Sir I born on 18 July 2000 can I am be applicable for nda

    • Hii Jitendrapal Singh rajput,
      Candidates born before 2nd January 1999 and not later than 1st July 2002, are eligible for NDA.
      So, you are applicable.

  16. Sir,my name is Himanshu Rabha,I am Arts Student,my age 18 years so can i apply National Defence Acadamy(NDA). Please Reply sar….

  17. sir I born 23/04/01. Can I apply NDA 1?

  18. Hello sir,
    Could u mail the syllabus for NDA-1 that is gonna be held in April 2018

    • Hii Sanjeev Kumar,
      We have provided the updated syllabus on this page of year 2017. Tentatively, same syllabus will be their in year 2018. If any update is their, we will inform you.

  19. Thanks for all information

  20. Hi sir I wanted to know that can the students of 11th class appear for NDA exam of 2018

    • You can apply after passing 11th grade exam for national defense service examination.
      But to join indian army, you need to clear 12th exam, to appear for NDA Exam conducted by UPSC.

  21. Arts students can appearing in NDA

    • Hii Md.Asif,
      Yes, you can apply for NDA because you have completed your 12th. But for only Army Post, you can apply.

  22. Akshat malhotra

    sir, my DOB is 3,july,2000. can i apply for NDA .. plz give me your answer

    • Hii Akshat malhotra,
      Candidates having age between 2nd July, 1998 to 1st July, 2001 are eligible for NDA Exam.

  23. How can i prepare for nda

  24. Gautam vishwakarma

    sir NDA syllabus is a competitive syllabus or like as intermediate syllabus.

  25. Pushpendra Singh

    sir, plzz tell me
    which book is best for study of Genral Science

  26. Sir this year only i passed my high school and had taken commerce, computer,and economics can i join NDA after completing my 12th class

  27. Sir iam complete diploma how join NDA sir please helpfull sir

  28. I have not appeared JEE Main 2017 so can I get into INAC btech course of INA commencing on 2018 course by appearing NDA NA 2 exam of 2017 ?

  29. Virendra Singh Pal

    Thanks for giving information

    • Hii Virendra Singh Pal,
      Thanks for liking our page and finding it useful.. Keep visiting this site for more updates.

  30. Can commerce students of class 12th give nda 2 exam??

  31. Thanks for the information you shared. Answer kew of NDA written is out. Hope you will upload it very soon.

  32. is NDA exam cbt


  34. Sir tell me please what book is required for preparing nda exam



  37. how many times i will give exam of nda

    • Dear Sourav,
      Number Of Times, you can attempt NDA (National Defence Academy) Exam is stated Below:
      General candidates: 4 attempts.
      Sc, St Candidates: No restriction.
      Other Backward Classes: 7 attempts


  39. Thanxxxx for information

  40. How many try do I jave

  41. Sir I born on 12 November 1998 can I apply for NDA and sir I also wanted to ask that is there any kind of reservation system in NDA ?

    • Dear lalit pathak
      You can apply for NDA. As Only unmarried male candidates born not earlier than 02nd July 1997 and not later than 01st July 2000 are eligible to apply.
      There is no reservation system for SC/ST/OBC etc candidates.

  42. Sir what different NDA and UPSE NDA NA pls give me answer

  43. nda 2 which book best of preparation of nda 2 also writer name

  44. Harsha Vardhan Mangali

    thks fr all ur information

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