NDA Syllabus 2020
Updated on Nov 26, 2019 - 12:39 p.m. IST by Vikrant.shukla

NDA Syllabus 2020 - Union Public Service Commission (UPSC) prescribes the NDA 2020 Syllabus and has released it along with the NDA 2020 notification online. The candidates who wish to apply for the NDA exam can check the syllabus of NDA 2020 to know the topics they need to cover. The NDA syllabus 2020 is divided into two parts – Mathematics and General Ability Test (GAT). NDA 2020 syllabus for Mathematics is based on class 12, while GAT consists of Physics, Chemistry, General Science, Social Studies, Geography, Current Events, and the English language. The NDA syllabus mentioned below will benefit candidates in figuring out the most and the least important topics and help them in planning their studies accordingly. According to the official NDA 2020 syllabus of NDA 2020 released by UPSC, the Mathematics section has 120 questions of 300 marks. For each correct answer, 2.5 marks are awarded while there is a negative marking of 0.85 marks per question.
NDA 2020 exam is slated to held on April 19, 2020. NDA syllabus 2020 for Mathematics is based on 10+2 level. On the other hand, the GAT syllabus is divided into two sections – English and General Knowledge. GAT has a total of 150 questions of 600 marks. Each question carries 4 marks with 1.33 marks deducted as negative marking.
Latest: NDA 2020 Application Form begins on Jan 8

NDA Syllabus 2020 - Scheme




Maximum Marks



2½ hours


General Ability Test


2½ hours




SSB Test/Interview


Paper-I of Mathematics (Code No. 01) will carry 300 marks.

NDA 2020 Syllabus for Mathematics


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 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.


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


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


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 of General Ability Test (GAT) (Code No. 02) will carry 600 marks.

NDA syllabus 2020 for General Ability Test (GAT)

Part ‘A’ of NDA 2020 Syllabus - (English - Marks 200)

To test the candidate’s understanding and proficiency in English -

Use of words

Grammar and usage


Comprehension and cohesion in extended text.

Part ‘B’ of Syllabus of NDA 2020 - (General Knowledge - Marks 400)

To test candidate’s knowledge and intelligent understanding of the following subjects.



General Science

Social Studies


Current Events

Section ‘A’ (Physics) - 25% weightage of questions

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, Mariner’s Compass, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Lightening Conductors, Safety Fuses.

Section ‘B’ (Chemistry) 15% weightage of questions

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.

Material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches and Gun-Powder.

Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon dioxide, Oxidation and Reduction. Acids, bases and salts.

Carbon— different forms.

Fertilizers— Natural and Artificial.

Elementary ideas about the structure of Atom, Atomic Equivalent and Molecular Weights, Valency.

Section ‘C’ (General Science) 10% weightage of questions

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.) 20% weightage of questions

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) 20% weightage of questions

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’ (Current Events) 10% weightage of questions

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


NDA syllabus 2020 - (Intelligence and Personality Test)

This section will be conducted in 2 stages. Candidates who qualify stage I will be eligible to appear in stage II.

Stage I will comprise of Officer Intelligence Rating (OIR) tests and Picture Perception & Description Test (PP&DT). Candidates will be shortlisted on their combined performance in OIR Test and PP&DT.

Stage II will Comprise of Interview, Group Testing Officer Tasks, Psychology Tests and the Conference. These tests are conducted over 4 days and its details will be mentioned on the website joinindianarmy.nic.in.

A candidates performance will be assessed by -

  • The Interviewing Officer (IO)

  • Group Testing Officer (GTO)

  • Psychologist

The various tests of IO, GTO and Psychologist are designed to bring out the presence/absence of Officer like Qualities and their trainability in a candidate. Candidates final recommendation will be based on their performance during the SSB.

NDA Cut off 2020

To get picked for the Army, Air Force and Naval Academy a candidate needs to score the cut off marks in NDA exam. NDA cut off marks is the minimum marks required to qualify NDA and be eligible for the next stage of the selection process. UPSC will release the cut off of NDA 2020 examination after completion of all stages of the exam. NDA 2020 cut off is released for both written exam and final selection. On the basis of the NDA cut off 2020 written exam, candidates will be called for SSB Interview.

After the SSB Interview is concluded, UPSC will prepare the final merit list based on the aggregate marks secured by candidates in written NDA exam and SSB Interview and they will be offered admission to the respective defence academies.

How to prepare for NDA?

It is essential for candidates to start their preparation in a strategic manner to succeed. Candidates should follow a proper plan and study smartly to score the qualifying marks. Analyse the complete NDA syllabus 2020 and mark topics that require more attention. Start preparing from the basic and then only you will be able to solve the high level questions.

Success tips to qualify NDA 2020

  • Know NDA exam pattern 2020

  • Design a proper time-table

  • Make your basics clear

  • Solve previous year NDA Question Papers

  • Take mock test while preparation

  • Divide time equally to all the papers

  • Keeping a track on weaker areas

  • Refer to the best books to prepare for NDA

  • Make a regular habit to revise the studied topics

Best books to prepare for NDA 2020

To prepare for NDA exam, candidates should prepare a study plan and allot specific timing to each topic. To ace the exam, candidates must know also know about the best books and make notes on tougher topics for the exam. We bring you a curated list of top books to prepare for NDA 2020 so you stay informed about the latest NDA syllabus 2020 and contents of the exam. Candidates must read newspapers and magazines also to regularly be updated with the current affairs.

Frequently Asked Question (FAQs) - NDA Syllabus 2020

Question: On what topics maths question paper of NDA will be based?


NDA maths paper will have questions based on Algebra, Matrices And Determinants, Trigonometry, Analytical Geometry Of Two And Three Dimensions, Differential Calculus, Integral Calculus And Differential Equations, Vector Algebra and Statistics And Probability.

Question: What will the topics on which NDA GAT question paper will be based?


Question paper of NDA GAT question paper will be based on English, General Knowledge, Physics, Chemistry, General Science, History Freedom Movement, Geography and Current Events.

Question: What is the marking scheme and exam pattern of NDA exam?


NDA question paper for maths will have 120 questions and will carry 1.5 marks per question the total marks will be 300 and questions will be based on 10+2 level. GAT will carry 600 marks and have 150 questions. GAT syllabus will be divided into two sections – English and GK. 1.33 marks will be deducted as negative marking in GAT.

Question: What is the difference between NDA syllabus and CDS syllabus?


The level of mathematics in NDA syllabus 2020 is of 10+2 standard while in CDS it is of 10th standard. Although the General Sciences, English comprehensive and current affairs question in CDS are tougher than NDA. CDS requires a lot of practice.

Question: What subjects do I need to specialize in for NDA entrance exam?


Maths is basically from 11 and 12 standard. Science from NCERT book, GK, History, Geography, Civics/Polity, General Knowledge/Current Affairs Physics, Chemistry and Biology.

Question: What is the salary an NDA candidate gets?


During the period of training, they get a stipend of Rs. 21,000 per month. After the training the candidates start with the Lieutenant post and the salary is -

Basic salary Rs. 15,600 – 39,100 p.m.

Grade pay Rs. 500 p. m. and military fund Rs. 6000 p.m.

More like NDA

Questions related to NDA

Showing 1483 out of 1483 Questions

can I select for nda Ihave an eye sight 5.0

Sunil Kumar singh 26th Jan, 2020

Hi dear,

You have no chances to get select in NDA. For NDA the permissible eye power is below -2.5 to + 3.5. So you have very hard chance.

Hope it helps. Hard luck.


NDA Form Last date to fill up the form

shipra tyagi 25th Jan, 2020


You have left with only three days to fill and submit the NDA application form. Exam will be held on 19 April 2020. For any further help in regard of this exam you can follow the below given link. Here, you will get NDA preparation tips also.


All the best champ!!


My birth date is 15/07/2004. Can I give NDA exam?

Shaktik Guria 25th Jan, 2020

In this year you can't appeared in NDA exam . Because the minimum qualification to appeared in this exam  was 15.7 years that means your date of birth should not later than 1st july, 2004. So you  should try next time. Good luck


i am in class 11th studying in science stream i want to appear for nda so i want to know for this exam

Atharva pandit 25th Jan, 2020

Hi. Hope you are doing well! You need to finish your 12th std first as basic eligiblity for nda exam is you need to finish your 12th exam. NDA exam is the entrance exam where it is conducted twice a year by UPSC. You need to fill the form by paying the exam form fees.

all the best


can a biology student apply for nda

Atharva pandit 25th Jan, 2020

Hi! Hope you are doing great! Well, Yes Biology student can apply for NDA for that You Have to clear Your 10+2 Course Or equivalent Examination Conducted by State board education or University! But Yes it does depend on for which Post you want to apply for!

You may use the link below for further Information!


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