NDA Exam Syllabus 2021: Check Detailed Exam Pattern And Syllabus For NDA & NA I, II Exam 2021
NDA Exam 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. NDA Exam Syllabus 2021
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
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.
Binomial distribution, examples of random experiments giving rise to Binominal distribution
UPSC NDA Syllabus 2021: General Ability Test
Part A English | NDA Exam Syllabus 2021
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 | NDA Exam Syllabus 2021
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 | NDA Exam Syllabus 2021
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 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, 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 | NDA Exam Syllabus 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.