NDA Syllabus 2018, Mathematics & General Ability Test Syllabus

NDA Syllabus 2018NDA Syllabus 2018 comprises of Mathematics & General Ability sections. National Defence Academy (NDA) is the Joint Services academy of the Indian Armed Forces. The UPSC (Union Public Service Commission) conducts a national level exam called as NDA Exam. This exam is held for the candidates who want to join Indian Defence Forces (Army, Navy & Air Force). Every year many aspirants come forward to take this exam. NDA Examination will be organized two times in a year. Here, we have updated the complete information about NDA 2018 Syllabus.

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NDA Syllabus 2018

Before start NDA preparation, it is very important to introduce yourself with the overall syllabus from where the questions will be raised.  The NDA Exam pattern comprises of Mathematics subject and General Ability. Below we have mentioned the detailed UPSC NDA Syllabus 2018.

NDA (2) 2018 Admit Card is releasing soon. It may be released in the month of August 2018. Candidates can get the admit card through online mode. Candidates can download it by entering their “Registration ID” & “Roll number”.

Mathematics Syllabus

The Mathematics paper covers the following chapters and topics:

Trigonometry: Trigonometrical ratios,properties of triangles, Angles and their measures in degrees and in radians, Inverse trigonometric functions, Trigonometric identities Sum and difference formulae, Applications – Height and distance, Multiple and Sub-multiple angles.

Algebra: Complex numbers – basic properties, modulus, Conversion of a number in decimal system to binary system and vice-versa, Arithmetic, argument, cube roots of unity, Geometric and Harmonic progressions, Solution of linear inequations of two variables by graphs, Representation of real numbers on a line, Binary system of numbers, Binomial theorem and its application, Quadratic equations with real coefficients, Permutation and Combination, Logarithms and their applications.

Differential Calculus: Composite functions, one to one, onto and inverse functions, geometrical and physical interpretation of a derivative – applications, increasing and decreasing functions, Continuity of functions – examples, algebraic operations on continuous functions, Application of derivatives in problems of maxima and minima, Concept of a real valued function – domain, range and graph of a function, Notion of limit, Standard limits – examples, geometrical and physical interpretation of a derivative – applications, Derivative of a function at a point, Derivatives of sum, product and quotient of functions, derivative of a function with respect of another function, derivative of a composite function and Second order derivatives.

Vector Algebra: Vectors in two and three dimensions, scalar multiplication of vector, scalar product or dot product of two-vectors, Applications-work done by a force and moment of a force, and in geometrical problems, magnitude and direction of a vector, Unit and null vectors, addition of vectors, Vector product and cross product of two vectors.

Integral Calculus and Differential equations: Integration by substitution and by parts, trigonometric, Definition of order and degree of a differential equation, formation of a differential equation by examples, exponential and hyperbolic functions, solution of first order and first degree differential equations of various types – examples, standard integrals involving algebraic expressions, Evaluation of definite integrals – determination of areas of plane regions bounded by curves – applications, General and particular solution of a differential equation, Integration as inverse of differentiation, Application in problems of growth and decay.

Matrices and Determinants: Types of Matrices, Determinant of a matrix, adjoin and inverse of a square matrix, operations on matrices, Applications – Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method, basic  properties of determinant.

Analytical Geometry of two and three dimensions: Distance formula, Equation of a circle in standard and in general form, Ellipse and hyperbola, Angle between two lines, Rectangular Cartesian Coordinate system, Equation of a line in various forms, Standard forms of parabola, Distance of a point from a line, Eccentricity and axis of a conic.

Point in a three-dimensional space, distance between two points, Equation of a plane and a line in various forms, Equation of a sphere, Direction Cosines and direction ratios, angle between two lines and angle between two planes.

Statistics: Frequency distribution, Classification of data, cumulative frequency distribution – examples Graphical representation – Histogram, Measures of Central tendency – mean, median and mode, Pie Chart, Frequency Polygon – examples, Variance and standard deviation – determination and comparison, Correlation and regression.

Probability: outcomes and associated sample space, Binomial distribution, Random experiment, examples of random experiments giving rise to Binominal distribution, events, mutually exclusive and exhaustive events, Bayes’ theorem – simple problems, impossible and certain events, Complementary, elementary and composite events, Union and Intersection of events, Definition of probability – classical and statistical – examples, Conditional probability, Random variable as function on a sample space, Elementary theorems on probability – simple problems, Binomial distribution, examples of random experiments giving rise to Binominal distribution.

Also Check:

NDA Exam Pattern 2018

NDA Preparation Tips 2018

NDA 2018 Books

General Ability Syllabus

The general ability section comprises of two parts which are mentioned below:

Part A

English: The English syllabus covers the topics like vocabulary, Grammar and usage, comprehension and cohesion in extended text to test the candidate’s proficiency in English.

Part B

General Knowledge: The question paper comprises of general knowledge and covers the subjects that include Physics, Chemistry, Social Studies, General Science, Geography and Current Events.

Section A – Physics

Motion of objects, Newton’s Laws of Motion, Force and Momentum, Parallelogram of Forces, Stability and Equilibrium of bodies, Gravitation, elementary ideas of work, Velocity and Acceleration, Power and Energy, Sound waves and their properties, Simple musical instruments, Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightening Conductors, Safety Fuses, Simple Pendulum.

Simple Pulleys, Physical Properties and States of Matter, Mass, Weight, Volume, Density and Specific Gravity, Principle of Archimedes, Pressure Barometer, Effects of Heat, change of State and Latent Heat, Modes of transference of Heat, Rectilinear propagation of Light, Reflection and refraction. Spherical mirrors and Lenses. Human Eye, Static and Current Electricity, Measurement of temperature and heat, 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.

Section B – Chemistry

Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon-Di-oxide, Oxidation and Reduction, Material used in the preparation of substances like soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and Gun-Powder, Carbon – different forms, Physical and Chemical changes. Symbols, Formulas and simple Chemical Equations, Law of Chemical Combination (excluding problems). Properties of Air and Water, Acids, bases and salts, Elements, Mixtures and Compounds, Fertilizers – Natural and Artificial, Elementary ideas about the Structure of Atom, Atomic, Equivalent and Molecular Weights, Valency.

Section C – General Science

Basis of Life – Cells, Protoplasms and Tissues, Constituents of food, Balanced Diet, Achievements of Eminent Scientists, Difference between the living and non-living, Elementary knowledge of human Body and its important organs, Food – Source of Energy for man, Growth and Reproduction in Plants and Animals, Common Epidemics, their causes and prevention, The Solar System – Meteors and Comets, Eclipses.

Section D – History

Freedom Movement in India, Bhoodan, Sarvodaya, National Integration and Welfare State, Basic Teachings of Mahatma Gandhi, A broad survey of Indian History, with emphasis on Culture and Civilisation, Elementary knowledge of Five Year Plans of India, Elementary study of Indian Constitution and Administration, Panchayati Raj, 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, Co-operatives and Community Development, Role of India in the present world.

Section E – Geography

Origin of Earth, Weathering – Mechanical and Chemical, Earthquakes and volcanoes, Atmosphere and its composition, Temperature and Atmospheric Pressure, Rocks and their classification, Planetary Winds, cyclones and Anti-cyclones, Humidity, Condensation and Precipitation,  Major Natural regions of the World, Important Sea ports and main sea, land and air routes of India. Main items of Imports and Exports of India, Types of Climate, The Earth, its shape and size, Lattitudes and Longitudes, Concept of time, International Date Line, Movements of Earth and their effects, Ocean Currents and Tides, Regional Geography of India – Climate, Natural vegetation. Mineral and Power resources, location and distribution of agricultural and industrial activities.

Section F – Current Events

Current important world events, Knowledge of Important events that have happened in India in the recent years, prominent personalities – both Indian and International including those connected with cultural activities and sports.

It is not compulsory that the topics mentioned above will surely come in the examination. The question paper does not remain consistent, it changes every year. It may happen that the question paper will consists of the topic not discussed here.

Click here for NDA Syllabus

In case of any queries regarding NDA Syllabus 2018, you may ask us by leaving your queries below.

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Displaying 1,067 Comments
  1. Aryan Singh says:

    sir my d.o.b.is 27/04/2001 can i am apply the 2019 form.

  2. Sushant mishra says:

    Syllabus for all three wings are same or they are different? My d.o.b. is 5.4.2002. I am in 12 am eligible for nda?

  3. Vikash says:

    How To study for save the time for nda and class 12

  4. rohit kateja says:

    Sir my dob is 23-11-2000. Can i appear for nda exam in 2018?

  5. Ansari says:

    Is NDA exam is objective type

  6. Abhishek Laleria says:

    My D.O.B is 28/jan/2000,
    Will i be able to give NDA1 exam in 2019?

  7. Ritik sharma says:

    My dob 28/1/2000
    Can I apply for nda1 2019

  8. chetan kanade says:

    sir my d.o.b is 17/6/2001 i want to apply for this exam Im in 12 what is the date of next form released

  9. Nilesh kable says:

    Sir, for NDA examination
    Pass 12th.
    I’m in now 12.
    My DOB 7/10/2001

  10. Nilesh kable says:

    Sir, Which language are perfect.

  11. Abhinav panday says:

    Pls inform physical eligibility criteria of nda2

  12. CHETAN KAPANE says:


  13. Varad Pravinrao Deshmukh says:

    My d. O. B 16-07-2002.i am studying in 11th. Am I able to apply for exam

  14. Atul singh says:

    My d.o.b is 7 sep 1999 may i able to give the exam of nda

  15. Sachin says:

    Is the exam of NDA is multiple choice questions

  16. Aminul says:

    Sir , does Madhaymik result affect for eligibility?
    My percetage is 55%
    Phisical science 38 out of 100

  17. ravi kumar says:

    Sir main 12 pass kar chuka hoon science mam math tha kya mai NDA exam De sakta hu

  18. ravi kumar says:

    Hi my NDA ka exam Dena Chahta hau science maths se ki h main NDA ka exam De sakta Hau d o b5.1.2000 h

  19. Anuj bharwal says:

    In nda all syllabus are same for all for example air force, navy and indian army sir if they are not same so please sir tell me about the sallybus

  20. Jash shah says:

    Sir i am studying in 12th STD ,and my b.o.d is 9/7/2001 can I apply in NDA(2)

  21. Ayan Sarkar says:

    Sir, my DOB is 18-04-2002. Can I apply for NDA exam ?
    Is there any particular height and weight essential?
    If essential then what they are ?

  22. Rohan says:

    Sir I am now 12th std my DOB 29/6/2001 can I apply

  23. vipul says:

    sir i want join nda my D.o.b is 2001 and can i eligible for nda exams and also i want knw my percentage is low i got 59% in class 10 cat genral am i eligible for this exam..?

  24. Neeraj says:

    Sir ,how to prepare for NDA exam and in this exam maths is compulsory

  25. Aditya Narayan says:

    What are the basis requirement for applying NDA form ?

  26. Chaitanya says:

    Sir I am is class 11 so I give of NDA

  27. Abdul Rahman says:

    Sir,l passed 12 my DOB is 07 2000 is lam eligible for NDA2 2018.What are the important topics to cover.

  28. Mohit Thakur says:

    If I am student of commerce then I also study physics of class 11th and 12th for NDA

  29. Shivam Chaubey says:

    I have passed 12th in 2018 .my dob is 5july2001.can i apply for next year nda1 exam

  30. Santosh yadav says:

    I have passed 12th in 2017
    But my leg has fracture can I iligible for NDA in any job

  31. Sapna sharma says:

    My .d. o. B is 24-5-1998 so can I am participate…. In nda exam.. Because I wanted to be join nda.

  32. Tanmay says:

    In mathematics I require to study the given syllabus or something can come out of this course

  33. Sura kumar says:

    What is the syllabus ofnda

  34. Arun Kumar sharma says:

    Sir NDA ki main website Kya h or NDA1 NDA2 ka Kya mean h

  35. Aman says:

    What is the syllabus for enterance test in nda for students who have only mats subject in 12th

  36. Abhi says:

    Which book I prefer for preparation of NDA

  37. Rangan Satpathi says:

    I am a student of class XII, West Bengal Board. Am I eligible for NDA exam.

  38. Mohit Choudhary says:

    I am studying in class 12 from
    Arts stream and my subjects are Political science and Geography and Economics
    And my DOB is 19 08 2001
    So can I eligible for NDA exam

  39. V Santhosh says:

    I have completed my 2nd puc with passed in all subjects and failed in chemistry and kannada, i am i eligible?

  40. ashmeet says:

    sir i am in +2 pcm .kya main nda2 ka exam de sakta hoon or nahi plz reply

  41. Arjun Nair says:

    I have only opted for bio only not for maths can i give exam or not
    Thank you sir

  42. Gaurang baidya says:

    My DOB is 02 sep 2001,i am learning in standard 10+2 in science,my hight is 175 cm ,weight is 58 ,sir can i prepare for NDA.

  43. Aman singh says:

    My DOB is 23rd May 1999
    Am i eligible

  44. abhishek tambat says:

    i want know that how can i study both cbse portion + nda
    and want to know about the portion

  45. Ramananda das says:

    I’m reading in 12th class at science, but have not complete .
    Can I apply now . ?

  46. Bhanu regar says:

    Me NDA ka Exam dena chahta hu or mere science me biology subject he kya me exam de skta hu??

  47. Saurav dhiman says:

    Sir my DOB is 17-09-2000.can I participate in nda2 exam ?

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