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NDA Exam Syllabus 2021: Check Detailed Exam Pattern And Syllabus For NDA & NA I, II Exam 2021

UPSC NDA Syllabus 2021: Every year UPSC conducts National Defence Academy/Naval Academy Entrance Exam twice for which lakhs of candidates try their level best to qualify the exam. For scoring good marks or qualifying any exam, the syllabus of that particular exam plays a vital role in the preparation. The candidates who prepare according to the syllabus and exam pattern definitely achieve success. Here we have come up with the detailed subject for UPSC NDA Exam 2021, which will be conducted on 18th April 2021 for filling 400 vacant posts. The candidates who are planning for this recruitment should begin their preparation with the help of the syllabus provided by the UPSC. You can also download the UPSC NDA Syllabus PDF for which direct link has been provided below.

UPSC NDA Syllabus 2021: Overview

Name of the Board Union Public Service Commission
Exam Name NDA & NA I, II Exam 2021
Category Syllabus
UPSC NDA NA 1 Exam Date 18th April 2021
Selection Process Written Test and SSB Interview/Personality Test
Apply Mode Online
Official Website upsc.gov.in

UPSC NDA Exam Pattern 2021

  • There will be objective-type questions from two sections: Mathematics and General Ability Test
  • There will Negative Marking for wrong answers marked
  • Question Paper will be in Both English and Hindi Languages.
  • Time Duration is 2 hr 30 mins for each subject.
Conducting Body  Union Public Service Commission, UPSC.
Frequency Of Exam Twice in a Year
Selection Process
  1. Written Test consisting of Objective Type Questions
  2. Intelligence & Personality Test (SSB)
Mode of exam Offline
Papers in NDA Exam
  1. Mathematics
  2. General Ability Test
Marks Segregation
  1. Mathematics: 300 Marks
  2. GAT: 600 Marks
Total No. of Questions
  1. Mathematics: 120
  2. GAT: 150
Negative Marking
  1. Mathematics: -0.83
  2. GAT: -1.33 marks
Exam Duration 2.5 Hours For Each Paper
Language of Question Paper English Hindi
English Language paper has to be attempted in English.

UPSC NDA Syllabus 2021: Check Exam Pattern And Syllabus PDF_40.1

UPSC NDA Exam Syllabus 2021

UPSC NDA Syllabus 2021: Mathematics

SNo Topic Detailed Syllabus
1 Algebra
  • 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
  • The solution of linear inequations of two variables by graphs
  • Permutation and Combination
  • Binomial theorem and its applications
  • Logarithms and their applications
2 Matrix and Determinants
  • 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
3 Trigonometry
  • 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
4 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 a general form
  • Standard forms of parabola, ellipse and hyperbola
  • Eccentricity and axis of a conic
  • Point in a three-dimensional space, the 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 the angle between two planes
  • Equation of a sphere
5 Differential 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 derivative—applications
  • Derivatives of sum, product and quotient of functions, the derivative of a function with respect to another function, the derivative of a composite function
  • Second order derivatives
  • Increasing and decreasing functions
  • Application of derivatives in problems of maxima and minima
6 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 differential equations, solution of first order and first-degree differential equations of various types
  • Application in problems of growth and decay
7 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
  • Applications—work done by a force and moment of a force and in geometrical problems
8 Statistics and Probability Statistics:

  • Classification of data
  • Frequency distribution
  • Cumulative frequency distribution
  • Graphical representation—Histogram, Pie Chart, frequency polygon
  • Measures of Central tendency—Mean, median and mode
  • Variance and standard deviation—determination and comparison
  • Correlation and regression


  • 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

UPSC NDA Syllabus 2021: Check Exam Pattern And Syllabus PDF_40.1

UPSC NDA Syllabus 2021: General Ability Test

Part A English

The question paper in English will be designed to test the candidate’s understanding of English and workman like use of words. The syllabus covers various aspects like:

  • Grammar and usage
  • Vocabulary
  • Comprehension
  • Cohesion in extended text to test the candidate’s proficiency in English

Part B General Knowledge

The question paper on General Knowledge will broadly cover the subjects : Physics, Chemistry, General Science, Social Studies, Geography and Current Events

The syllabus given below is designed to indicate the scope of these subjects included in this paper. The topics mentioned are not to be regarded as exhaustive and questions on topics of similar nature not specifically mentioned in the syllabus may also be asked. Candidate’s answers are expected to show their knowledge and intelligent understanding of the subject.

Out of maximum marks assigned to part ‘B’ of this paper, questions on Sections ‘A’, ‘B’, ‘C’, ‘D’, ‘E’ and ‘F’ will carry approximately 25%, 15%, 10%, 20%, 20% and 10% weightages respectively.

SNo Topic Detailed Syllabus
1 Section A (Physics)
  • 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
  • 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, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightening Conductors, Safety Fuses.
2 Section- B (Chemistry)
  • 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 Carbondioxide, Oxidation and Reduction
  • Acids, bases and salts. Carbon- different forms
  • Fertilizers- Natural and Artificial Material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches and Gun-Powder
  • Elementary ideas about the structure of Atom, Atomic Equivalent and Molecular Weights, Valency
3 Section C (General Science)
  • 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
4 Section D (History, Freedom Movement) 
  • 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
5 Section E (Geography)
  • 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 of India
6 Section F (Current Events)
  • 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

UPSC NDA Syllabus PDF 2021

The candidates can download the UPSC NDA Syllabus PDF directly from the link below and start practising in a better way to score good marks.

NDA Syllabus 2021: FAQs

Q. What is the selection procedure for UPSC NDA 2021?

Ans. There are only two stages, a written exam and a Personality Test or SSB.

Q. How many Papers will be there for NDA Exam 2021?

Ans. There will be two papers for the NDA Exam 2021: Mathematics and General Ability Test (GAT).

Q. What is the Marking Scheme for the NDA Exam Written Test?

Ans. For every correct answer, in Mathematics, you get +2.5 marks and for every wrong answer, -0.83 are deducted. For GAT, you will get +4 marks for correct and for every wrong answer there is a negative marking of 1.33.

Q. What will be the total marks of the NDA Written Test?

Ans. The total marks of the NDA Written Test will be 900 Marks.

Q. What is the Marks Distribution for the NDA Written test?

Ans. The Mathematics Paper will be of  300 Marks and the GAT will be of 600 Marks.

Q. Will the test be conducted online or Offline?

Ans. The NDA Written Test will be conducted offline i.e. Pen and Paper mode.

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