NDA Syllabus 2021

NDA Syllabus 2021 - Download PDF Latest NDA Exam Syllabus

The National Defence Academy Exam that is most commonly know as NDA is one of the most popular exams for candidates who are seeking admission into the National Defence Academy - Army, Navy, Air Force, and Indian Naval Academy Course (INAC).

NDA is conducted by Union Public Service Commission (UPSC) twice a year. NDA examination is divided into two papers – Mathematics and General Ability, where the exam is conducted offline mode. NDA exam papers consist of objective type questions only, and the question paper will be set bilingually in Hindi as well as English.

NDA Syllabus

NDA exam syllabus includes courses the students have already studied in their 10+2 school. NDA syllabus has been designed for two types of NDA exams: NDA Part-1 Mathematics and NDA Part-2 General Ability Test.

The detailed weightage of the NDA syllabus topics is given in detail below.

NDA Syllabus Paper-I: Mathematics

NDA Syllabus: Mathematics

Quetsions: 15-20 Quetsions

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, 19 Geometric, and Harmonic progressions. Quadratic equations with real coefficients. The solution of linear inequations of two variables by graphs. Permutation and Combination. Binomial theorem and its applications. Logarithms and their applications.

Matrices and Determinants

Quetsions: 20 Quetsions

Types of matrices, operations on matrices. The 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.


Quetsions: 30 Quetsions

Angles and their measures in degrees and 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

Quetsions: 15 Quetsions

Rectangular Cartesian Coordinate system. Distance formula. Equation of a line in various forms. The angle between the two lines. The distance of a point from a line. Equation of a circle in standard and in a general form. Standard forms of parabola, ellipse, and hyperbola. Eccentricity and axis of a conic. The 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. The angle between the two lines and the angle between the two planes. Equation of a sphere.

Differential Calculus

Marks: 20-25 Marks

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—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, the 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

Quetsions: 10-15 Quetsions

Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expressions, trigonometric, exponential, and hyperbolic functions. 20 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 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

Quetsions: 10-15 Quetsions

Vectors in two and three dimensions, magnitude, and direction of a vector. Unit and null vectors, the 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

Quetsions: 10 Quetsions

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.

NDA Syllabus Paper-II: General Ability Test

NDA Syllabus: English

The NDA syllabus of English is designed to test the candidate’s understanding of English and workmanlike use of words. The syllabus covers various aspects to test the candidate’s proficiency in English.


Marks: 200 Marks

(i) Grammar and usage

(ii) Vocabulary

(iii) Spotting Errors

(iv) Comprehension

(v) Selecting Words

(vi) Ordering of Words in a Sentence

(vii) Sentence Improvement

(viii) Antonyms Synonyms

(ix) Cohesion in extended text

NDA Syllabus: General Knowledge

The NDA syllabus of General Knowledge will broadly cover the subjects: Physics, Chemistry, General Science, Social Studies, Geography, and Current Events.

Marks: 400 Marks


Weightage: 25% weightage

Physical Properties and States of Matter, Mass, Weight, Volume, Density, and Specific Gravity, Principle of Archimedes, Pressure Barometer. The 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 Nonconductors, 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, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightening Conductors, Safety Fuses.


Weightage: 15% weightage

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. Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon dioxide, Oxidation, and Reduction. Acids, bases, and salts. Carbon—different forms. Fertilizers—Natural and Artificial. The material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and GunPowder. Elementary ideas about the structure of Atom, Atomic Equivalent and Molecular Weights, Valency.

General Science

Weightage: 10% weightage

Difference between the living and non-living. Basis of Life—Cells, Protoplasms, and Tissues. Growth and Reproduction in Plants and Animals. Elementary knowledge of the 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.

History, Freedom Movement etc.

Weightage: 20% weightage

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, the Industrial Revolution, and the Russian Revolution. Impact of Science and Technology on Society. Concept of one World, United Nations, Panchsheel, Democracy


Weightage: 20% weightage

The Earth, its shape and size. Lattitudes 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 in India.

Current Events

Weightage: 10% weightage

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

Download NDA Syllabus PDF

Tabulated below is the official NDA syllabus for the year 2021. This Syllabus comes along with the detailed topic-wise outline for NDA Paper-I & Paper-II. Download the NDA syllabus in pdf and start your preparation.

Download PDF Indian Army Syllabus 2021

NDA Exam Pattern 2021

NDA Exam Pattern 2021- The subjects of the written examination, the time allowed and the maximum marks allotted to each subject will be as follows:

No. Questions
Correct Answer
Wrong Answer
Max Marks
Mathematics 2½ Hours 120 Questions +2.5 Marks -0.85 Marks 300 Marks
General Ability Test 2½ Hours 150 Questions +4 Marks -1.33 Marks 600 Marks

UPSC NDA Topic-wise Marks Distribution

Maximum marks
English 200 Marks
General Knowledge
Physics 100 Marks
Chemistry 60 Marks
General Science 40 Marks
History, Freedom Movement, etc. 80 Marks
Geography 80 Marks
Current Events 40 Marks

Second Round - SSB Test/Interview

After qualifying the NDA written entrance test, all candidates have to appear for NDA SSB Interview. Details are as below:

Second Round
Maximum Marks
SSB Interview 4-5 days 900 Marks

The Services Selection Board procedure consists of a two-stage Selection process - stage I and stage II. Only those candidates who clear stage I are permitted to appear for stage II. The details are :

Stage I comprises of Officer Intelligence Rating (OIR) tests are Picture Perception * Description Test (PP&DT). The candidates will be shortlisted based on a combination of performance in the OIR Test and PP&DT.

Stage II Comprises of Interview, Group Testing Officer Tasks, Psychology Tests, and the Conference. These tests are conducted over 4 days. The details of these tests are given on the website

Frequently Asked Questions (FAQs)

Question: What are the minimum marks to qualify in the NDA written exam?

Answer: Candidates are required to score a minimum of around 35% marks in each subject to qualify for the written examination. Score minimum of 105 marks in mathematics section & 210 marks in General Ability Section, But to get qualified for SSB you have to score at least 320 Marks.

Question: What is the NDA Maths Syllabus?

Answer: NDA Maths Syllabus for the year 2021 - 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: NCERT book syllabus is enough for NDA?

Answer: Yes, NDA follows the NCERT book syllabus, so it's advisable that aspirants should begin their preparations from NCERT or at least go through its syllabus once.

The National Defence Academy Exam Syllabus has been obtained from the official website -