NDA Syllabus 2021: Check Latest Exam Pattern & Syllabus for Maths, English & General Ability

NDA Syllabus 2021: Check Latest Exam Pattern & Syllabus for Maths, English & General Ability

ByNaveen Singh  |  Updated on: Jun 9, 2021NDA 2 2021 Exam: Check UPSC NDA exam notification 2021 official details such as dates, result, interview round and selection process here.
NDA 2 2021 Exam: Check UPSC NDA exam notification 2021 official details such as dates, result, interview round and selection process here.
...Read More
Sign up for Free Mock Test

NDA Syllabus and Pattern 2021

NDA Syllabus 2021: UPSC NDA exam is scheduled to be held on 18th April 2021. Having an appropriate knowledge of the latest syllabus and exam pattern for the NDA 2021 exam will help you target the right set of questions in your preparation.

Adequate information on the subject-wise NDA exam syllabus will help you cover everything and leave no topic untouched. It will further guide you to recognize the weightage of the topics and work upon them accordingly. Here you can download the NDA syllabus 2021 PDF for Maths, English, and General Ability section to strategize your preparation accordingly.

Therefore, check out the latest NDA exam pattern and syllabus below as discharged by UPSC to consolidate your preparations in the best manner.

NDA Selection Procedure 2021

In order to get selected in the NDA/NA exam, candidates are required to go through the following NDA selection process and obtain favourable scores in each of them to achieve the desired post.

  • Stage I: Written Examination
  • Stage II: SSB Interview
  • Stage III: Medical Test
  • Stage IV: Final Merit

NDA Exam Pattern 2021

The written examination under NDA qualifying in nature hence marks obtained in this test would be considered for the final selection. Go through the detailed NDA exam pattern below:





Time Allotted

Paper I




2.5 hrs


General Ability Test



2.5 hrs

Following are the marks allotted to various sub-sections of the General Ability Test in the NDA question paper:

Sections of General Ability Test



200 Marks


100 Marks


60 Marks

General Science

40 Marks


80 Marks


80 Marks

Current Affairs

40 Marks

Note: There will be negative marking for each question that is incorrectly attempted. One-third of the marks that are assigned to that question will be deducted for an incorrect response. So make sure you only answer what you are sure of.

Suggested Read: How to Prepare for NDA after 12th

UPSC NDA Exam Syllabus 2021

Below is the detailed subject-wise NDA exam syllabus 2021.

Syllabus of Mathematics Section for NDA/NA Exam 2021

Check out the topics asked under the NDA syllabus for Mathematics and prepare wisely in order to score better marks in the NDA 2 2021 examiantion.

Name of Topic



Set concept, sets operations, Venn diagrams. Laws of De Morgan, Cartesian product, relationship, the relationship of equivalence. Real number representation on a line. Complex numbers— basic properties, module, argument, unity cube roots. Binary number system. Conversion to binary system of a number in decimal system and vice versa. Progressions in arithmetic, geometry and harmony. Real-coefficient quadratic equations The solution of linear in equations of two variables by graphs. Permutation and Combination. Binomial theorem and its applications. Logarithms and their applications. 

Matrices and Determinants

Matrix types, matrix operations. The determinant of a matrix, determinants ' properties. Application-Solution of a system of linear equations in two or three unknowns by the Cranmer's Rule and by the Matrix method


Angles and their degree and measurements. Trigonometric ratios. Sum of trigonometric identities and formulas. Multiple angles and sub-multiples. Trigonometric functions & its inverse. Applications-Height and Distance, Triangle Properties.

Analytical geometry of two and three dimensions

The Cartesian Rectangular Coordinate System. Formula of distance. Equation of a line in different shapes. Two lines of angle. A point's distance from a line. Standard and general equation of a circle. Parabola, ellipse and hyperbola are standard forms. A conic's eccentricity and axis. Point the distance between two points in a three-dimensional space. Cosines of direction and ratios of direction. Two points of equation. Cosines of direction and ratios of direction. A plane equation and a line in different forms. Two lines of angle between two planes. Sphere's equation.

Differential calculus 

Concept of a valued function–a function's domain, range, and graph. Composite functions, one by one, on and vice versa.

Limit notion, default limits — examples. Continuity of functions— examples, continuous functional algebraic operations. Function derivative at a point, geometric and physical interpretation of an application derivative. Summary derivatives, product and function quotient derivatives, function derivatives for another function, 20 composite function derivatives. Derivatives of the second order. Increasing and diminishing functions. Application of derivatives in maxima and minima problems.

Integral calculus and differential equations 

Differentiation and integration, standard integrals with algebraic expressions, trigonometric, exponential and hyperbolic functions.Definite integrals — determination of areas of curved plane regions — applications.General and particular solution of differential equations, solution of the first order and first-degree differential equations of various types—examples. Application in problems of growth and decay. 

Vector Algebra

Two-and three-dimensional vectors, vector magnitude and direction. Unit and null vectors, vector adding, scalar-vector multiplication, scalar product or dot product. vector product or cross product. Applications — work done through force and moment of force and in geometric problems.

Statistics And Probability

Statistics: data classification, distribution of frequencies, the cumulative distribution of frequencies — examples. Examples of graphic representation— histogram, pie chart, polygon frequency. Central tendency measurements — mean, median, and mode. Variance and deviation of standard — determination and comparison. Correlation and regression 

Sample space, events, exhaustive events & mutually exclusive, impossible and certain events associated with random experiments, results and associated. Union and events intersection. Complementary, composite and elementary events. 

Probability definition— classical and statistical— examples. Elementary probability theorems — simple issues.

The conditional likelihood, the theorem of Bayes — simple problems. Random variable on a sample space as a function. Binomial distribution, examples of random experiments, the binomial distribution.

Syllabus of General Mental Ability Section for NDA/NA Exam 2021

The NDA syllabus for the General Ability test includes 7 major subjects which are English, Physics, Chemistry, General Science, History, Geography, and Current Events. Below you can have a look at the detailed GAT NDA syllabus for a better understanding of the topics asked.

Name of the Topic



  • Grammar & usage
  • Comprehension & cohesion
  • Spotting of errors
  • Para Jumbling
  • Fill in the blanks
  • Synonyms & Antonyms
  • Vocabulary
  • Cloze Test
  • Idioms & Proverbs
  • Completion of Sentence & Para
  • Sentence Correction & Improvement


Matter and its properties(mass, weight etc)and specific gravity, Archimedes principle, Motion, Velocity and Acceleration, Newton's Laws of Motion, Force and Momentum, Force Parallelogram, Stability and Body Equilibrium, Gravity, Elementary Work Ideas, Power and Energy. Heat effects, temperature and heat measurement, state change and latent heat, heat transfer modes. Rectilinear light, reflection and refraction propagation. Spherical mirrors and human eye lenses. Natural and artificial magnets, a magnet's properties, earth as a magnet. Electricity, Ohm's Law, conductors and non-conductors, Simple Electrical Circuits, Current Heating, Lighting and Magnetic Effects, Electrical Power Measurement, Primary and Secondary Cells, X-Ray Use.Simple Pendulum, Simple Pulleys, Telegraph, Telephone, Periscope, Telescope, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone,, Microscope, Mariner's Compass.


Changes in physical and chemical conditions. Chemical Combination Law. Air and water properties.Hydrogen, oxygen, nitrogen and carbon dioxide preparation and properties, oxidation and reduction. Acids, bases, salts, etc. Carbon— various forms. Fertilizers— Artificial and Natural. The material used in the preparation of substances such as Soap, Glass, Ink, Paper, Cement, Paints, Gun-Powder and Safety Matches. Basic ideas on Atom, Atomic Equivalent and Molecular Weights structure, Valence.

General Science

Living and non-living difference. Life basis — cells, protoplasms, tissues. Plant and animal growth and reproduction. Human Body's basic knowledge and its important organs. Common epidemics, causes and prevention of them. Food — man's energy source. Food constituents, balanced diet. The Meteors and Comets Solar System, Eclipses. Eminent Scientists ' achievements.


A comprehensive survey of Indian History, focusing on culture and civilization.

Freedom movement. Indian Constitution and Administration elementary study. The basic knowledge of India's Five Year Plans. Panchayati Raj, Community Development Co-operatives. Bhoodan, Sarvodaya, Mahatma Gandhi's Basic Teachings, National Integration and Welfare State. Modern world forces; Renaissance, Exploration and Discovery; American Independence War. French Revolution, Russian Revolution and the Industrial Revolution. Impact on society of science and technology. One World Concept, UN, Panchsheel, Democracy, Socialism, and Communism. India's role in today's world.


The shape and size of the Earth. Lattitudes, Longitudes, Time Concept. Date-Line International. Earth's movements and effects.

Earth's origin. Rocks and their classification; mechanical and chemical weathering, earthquakes and volcanoes. Ocean Currents and Tides Atmosphere and their composition; Temperature and Atmospheric Pressure, Planetary Winds, Cyclones and Anti-cyclones; Humidity; Condensation 23 and Precipitation; Climate Types, World's Major Natural Regions.

India's regional geography— climate, natural vegetation. Resources for minerals and power; location and distribution of agricultural and industrial activities. Important seaports and major seaports, land and air routes

Current Events

Knowledge of major events that have occurred in India over the past few years. Current major events in the world. Important personalities around the world including those related to cultural and sports activities

Download NDA Syllabus PDF

Candidates can download the NDA Syllabus PDF here to advance the exam preparation and strategize accordingly. Below is the direct link to download NDA Syllabus PDF for your convenience. 

NDA 2021 Syllabus PDF, Download Here!

Important Links

NDA Online CoachingNDA Mock Test 2021
NDA Eligibility CriteriaNDA Cut Off 2021
NDA Question Paper PDFNDA Study Material 2021
NDA Books 2021NDA Salary 2021
NDA Selection ProcessNDA Preparation Books 2021

Posted by:

Naveen SinghNaveen SinghMember since Jan 2019
Recommended twice for Indian Army in 2011 & 2017. Cleared NDA, CDSE, AFCAT, CAPF Exams.
Share this exam info   |

NDA Syllabus FAQs

  • Gradeup is now BYJU'S Exam Prep that offers the most comprehensive preparation for all exams. Get Monthly/Weekly Current Affairs, Daily GK Update, Online Courses, Latest Pattern Test Series and detailed Study Material from the top faculty at your fingertips. Want to learn more? Do not hesitate to contact our customer care here.

  • The detailed syllabus for NDA 2021 exam is shared above along with the exam pattern.

  • Having a smart strategy will let you crack the NDA 2 2021 exam with less difficulty. Also, practice lots of mock tests to understand the trend of the exam and increase the speed and accuracy level for a better score.

  • There are two papers in NDA which are:

    • Paper 1 - Mathematics
    • Paper 2 - General Ability Test (English, Physics, Chemistry, General Science, History, Geography, and Current Affairs).
  • Yes, there is a physical test for NDA which is of qualifying in nature, no marks are added to the merit list.

  • NDA final merit list is based on the marks scored in the written test and SSB interview. 

  • The official authorities of the Union Public Service Commission define the NDA syllabus.

  • We have shared the direct link to download NDA Syllabus 2021 PDF above to help you prepare hassle-free for the examination.

NDA & Other Exams

NDAAir ForceIndian NavySSC OfficerCoast GuardMock TestPracticeOnline Course