NDA Syllabus 2020 – UPSC sets NDA syllabus. Aspirants must know the latest NDA exam pattern and syllabus if they wish to qualify the NDA exams to get into the Indian Defense Force.
NDA is a Defense entrance exam conducted to recruit eligible personnel to Indian Army, Navy and Air Force Wing of the National Defense Academy and Indian Naval Academy Course INAC. Candidates can know more about the NDA exam on the given link.Â
Aspirants of other Government exams can check the link provided for the latest information on upcoming examinations.Â
This article aims to provide detailed information on the National Defense Academy Syllabus (sectionwise and topicwise) and latest NDA exam pattern knowing which can help candidates make a strategy for the exam preparation in a systematic manner.
NDA Syllabus PDF –Â Download PDF Here
Table of Contents: 
National Defense Academy Syllabus 
NDA Exam Pattern
The Union Public Service Commission (UPSC) prescribes the exam pattern of NDA exam.Â
NDA selection process is divided into two stages
 Written Examination
 SSB Interview
However, the written exam of NDA itself is divided into two parts i.e.Â
 NDA written exam for Mathematics
 NDA written exam for General Ability Test (GAT)
Now, the General Ability Test (GAT) is further subdivided into two parts:
 Part A – English Test
 Part B – General Awareness or General Knowledge Test
The marks distribution of NDA exam GAT section is highlighted below:
NDA General Ability Test  Sections  Maximum marks 
Part A – English  –  200 
Part B – General Awareness  Physics  100 
Â  History, Freedom Movement, etc.  80 
Geography  80  
Chemistry  60  
General Science  40  
Current Events  40  
Total  600 
Â The structure of the NDA exam pattern for written exams is as mentioned below.
NDA Exam Pattern – Written Exams  
NDA Written Exams  Subject  Maximum marks  Number of Questions  Duration 
Paper 1  Mathematics  300  120  2 hrs 30 mins 
Paper 2  GAT  600  150  2 hrs 30 mins 
Total  900  270  5 hours 
NDA Selection Process Important pointers
 All the questions in the NDA exam will be objective i.e., Multiple Choice Questions.
 The medium of the exam will be bilingual (English & Hindi) with a total of 900 marks.
 Total 270 questions are asked of which 120 questions are from Mathematics and 150 questions from GAT section.
 The NDA syllabus covered in the exam is 10+2 standards
 There is negative marking for wrong answers which is given in detail below
NDA Marking Scheme
The UPSC formulates the NDA marking scheme. As per the scheme, no marks are deducted if a question is left unanswered but there is a provision of negative marking for wrong answers. Candidates will lose 1/3rd of marks allotted to each question for incorrect answers. Go through the detailed NDA marking scheme below:
NDA Exam Pattern – Negative Marking Scheme  
Written Exams  Marks for each correct answer  Marks deducted for each incorrect answer 
Mathematics  2.5  0.83 
GAT  4  1.33 
Wondering how to do a comprehensive study of NDA Syllabus? Check the links for assistance in the preparation of NDA examÂ 
NDA Exam Pattern SSB Interview
After qualifying the written exam of NDA, candidates have to appear for the SSB Interview rounds. The pattern of NDA Interview is as mentioned below:
NDA – SSB Interview Pattern  
Stage 1  Screening Test 

Stage 2  Psychological Test 

Group Testing Officers Test 


Personal Interview & conference  – 
Aspirants willing to appear for NDA exam can go through the NDA Eligibility Criteria in the given link.
NDA Syllabus – National Defense AcademyÂ
The Union Public Service Commission prescribes the NDA syllabus in detail in the official notification of the exam.Â
Broadly, the NDA syllabus is divided into two parts i.e. Mathematics and General Awareness. However, it is not as easy as it seems to be, because the NDA General Awareness section is an umbrella covering 6 subjects under it that is discussed further in the article.
NDA Syllabus Mathematics
For Mathematics NDA Syllabus candidates are required to know maths till 12th standard. This section tests the candidates’ calculative skills. Let us know the topicwise NDA Mathematics syllabus and distribution of questions for each topic in the exam.
NDA Syllabus For Mathematics  
Mathematics Topic  NDA Topicwise syllabus 
Algebra  Sets, Venn diagrams, De Morgan laws, Cartesian product, relation, equivalence relation. Real numbers, Complex numbers, Modulus, Cube roots, Conversion of a number in Binary system to Decimals and viceversa. Arithmetic, Geometric and Harmonic progressions. Quadratic equations, Linear inequations, Permutation and Combination, Binomial theorem and Logarithms. 
Calculus  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, Continuity of functions, algebraic operations on continuous functions. Derivative of function at a point, geometrical and physical interpretation of a derivativeapplication. 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 
Matrices and Determinants  Types of matrices, operations on matrices. Determinant of a matrix, basic properties of determinants. Adjoint and inverse of a square matrix, ApplicationsSolution of a system of linear equations in two or three unknowns by Cramerâ€™s rule and by Matrix Method. 
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 integralsâ€”determination of areas of plane regions bounded by curvesâ€”applications.
Definition of order and degree of a differential equation, formation of a differential equation by examples. General and particular solution of differential equations, solution of first order and first degree differential equations of various typesâ€”examples. Application in problems of growth and decay. 
Trigonometry  Angles and their measures in degrees and in radians. Trigonometric ratios. Trigonometric identities Sum and difference formulae. Multiple and Submultiple angles. Inverse trigonometric functions. ApplicationsHeight and distance, properties of triangles. 
Vector Algebra  Vectors in two and three dimensions, magnitude and direction of a vector. 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. Applicationsâ€”work done by a force and moment of a force and in geometrical problems. 
Analytical Geometry Of Two and Three Dimension  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 threedimensional 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. 
Statistics and Probability  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 probabilityâ€”classical and statisticalâ€”examples. Elementary theorems on probabilityâ€”simple problems. Conditional probability, Bayesâ€™ theoremâ€”simple problems. Random variable as function on a sample space. Binomial distribution, examples of random experiments giving rise to Binomial distribution. 
Candidates preparing for NDA exam can check the links given below to compliment their mathematics preparation.
Now that we are aware of the detailed NDA syllabus for mathematics section, let us know the distribution of questions among these topics in the exam.Â
Mathematics Topics for NDAÂ  Number of Questions 
Probability  10 
Complex numberÂ  1015 
Calculus  2025 
Quadratic equation  2015 
Matrices & DeterminantsÂ  30 
Trigonometry  30 
Â Check out a few conceptbased articles that will be helpful to cover up the maths syllabus of NDA convenientlyÂ
For more such articles on various mathematics topics, check the Quantitative Aptitude page linked here.
NDA Syllabus General Ability TestÂ
The NDA Syllabus for GAT is divided into two parts. Part A tests candidates proficiency in English while Part B tests candidates General Knowledge on various topics/subjects.
NDA Syllabus GAT English
The English syllabus of NDA covers topics like vocabulary, grammar and usage, comprehension and cohesion.
To start with the English part of NDA syllabus refer to the links of relevant English language topics that are asked frequently in the examination:
 List of One Word Substitutions
 Adjective Degree Of Comparison Rules
 List of Homophones/Homonyms
 List of Synonyms and Antonyms
 Active And Passive Voice Rules
For more important topics on English For Competitive exams, such as Precis and Letter writing format, rules and list of prepositions, articles, conjunctions etc. check the link provided.
Also, go through important questions and answers on English topics for practice and preparation.
 One Word Substitution Questions & Answers
 Tenses Questions And Answers
 Direct & Indirect Speech Questions & Answers
More question and answer articles on important topics of the Verbal Ability section can be found on the linked page.
NDA Syllabus GAT – General Awareness/ General Knowledge
The General Knowledge of NDA syllabus comprises questions from Physics, Chemistry, General Science, History, Geography and Current Events.
The topicwise syllabus of each subject is as mentioned below:
NDA Exam Syllabus – GAT – History  

NDA Exam Syllabus – GAT – Geography  

Aspirants of NDA exam can check the related links given below
NDA Exam Syllabus – GAT – General Science  

The General Science preparation can be done simply by going through the NCERT Notes for basic physics, chemistry and life science topics.
NDA Exam Syllabus – GAT – Chemistry  

NDA Exam Syllabus – GAT – Physics  

NDA Exam Syllabus – GAT – Current Affairs  
Knowledge of Important events that have happened in India in recent years
Prominent personalities of both Indian and International level, Cultural activities and sports activities, Current important world events. 
For the preparation this section important topics that candidates must go through are listed below:
 List of Neighbouring Countries of India
 List of Highest Mountains in India
 List of Longest Rivers in the World
 Tennis Grand Slam Winners
 List Of Indian Ambassadors to Foreign Countries
 List of Indian Navy Chief Admirals
More such topics on general awareness are given on the Static GK page, check the link provided. For the preparation of current affairs candidates can check the following links
List of NDA Books
To prepare effectively for the NDA Exam one must have a lot of good books handy. NDA books will help the candidates focus better on the subject matter at hand and ultimately score more marks in the exam.
The Sectionwise NDA books for exam preparation is given below:
NDA Books  
Mathematics 

General Ability Test 

Candidates can download the NDA Syllabus and Booklist PDF given below:
NDA Syllabus & Booklist PDF –Â Download PDF Here
The most common mistakes that candidates make is they start their preparation for the National Defense Academy exam without completely understanding the NDA syllabus.Â
Knowing in detail the Syllabus of NDA is important as it confines the preparation and helps to strategise the study plan that is the key to attain success in any exam.
Also, go through the Competitive Exam Preparation Strategies to plan out a good study schedule and leave no stone unturned for exam preparation.