# NDA Syllabus 2018, Mathematics & General Ability Test Syllabus

**NDA 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.

## 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:**

## 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.

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

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?

yes syllabus is same. Yes you can apply.

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

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

Not, eligible.

Is NDA exam is objective type

My D.O.B is 28/jan/2000,

Will i be able to give NDA1 exam in 2019?

You are not eligible to apply.

My dob 28/1/2000

Can I apply for nda1 2019

No.

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

Sir, for NDA examination

Pass 12th.

I’m in now 12.

My DOB 7/10/2001

You are eligible.

Sir, Which language are perfect.

Pls inform physical eligibility criteria of nda2

NICE

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

You can apply in 12th class.

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

You are not eligible to apply.

Is the exam of NDA is multiple choice questions

Sir , does Madhaymik result affect for eligibility?

My percetage is 55%

Phisical science 38 out of 100

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

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

No, you are not eligible for further NDA exams.

Sir,

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

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

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 ?

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

Yes, can apply.

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..?

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

Mathematics is not compulsory. Get NDA preparation tips from this link.

What are the basis requirement for applying NDA form ?

Check NDA eligibility criteria from this link.

Sir I am is class 11 so I give of NDA

No you can’t.

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

Yes, you are eligible.

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

No need to study.

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

Sir

I have passed 12th in 2017

But my leg has fracture can I iligible for NDA in any job

No, you are not eligible.

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

No, you can’t participate.

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

What is the syllabus ofnda

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

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

Which book I prefer for preparation of NDA

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

Yes, you can apply.

Sir

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

Yes, you are eligible to apply.

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

Not eligible.

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

Sir

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

Thank you sir

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.

Yes, you can apply.

My DOB is 23rd May 1999

Am i eligible

No, you are not eligible.

i want know that how can i study both cbse portion + nda

and want to know about the portion

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

Can I apply now . ?

Sir,

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

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

Yes, you are eligible.