# NDA Syllabus 2021 – Get Complete Syllabus Here

NDA Syllabus comprises of Mathematics & General Ability sections. National Defence Academy (NDA) entrance exam Is Conducted By Union Public Service Commission (UPSC) For Enrolling Candidates To The Indian Defense Forces that includes the Indian Army, Indian Navy, And Indian Air Force. The National Defence Academy (NDA) exam Is carried out twice in a Year.NDA (I) within the Month Of Apr And NDA (II) within the Month Of September.

UPSC conducts National Defence Academy (NDA) Exams which has Interviews Covering General Aptitude, Psychological Testing, Team-Building Skills together with Physical And Social Skills And Medical Tests. It’s Not That easy at all. So this article Is All about The Paper Pattern and the syllabus For National Defence Academy (NDA) 2021. I hope This might help you.

## NDA 2021 Syllabus:

**Mathematics Syllabus:**

The Mathematics paper covers the 10th & 12th the following chapters:

**Trigonometry: **Trigonometrical ratios, Trigonometric identities Sum and difference formulae, Inverse trigonometric functions, Applications – Multiple and Sub-multiple angles, Angles and their measures in degrees and in radians, properties of triangles, Height & distance.

**Algebra:** Complex numbers – Basic properties, Geometric and Harmonic progressions, Representation of real numbers on a line, modulus, argument, cube roots of unity, Conversion of a number in decimal system to binary system and vice-versa, Arithmetic, Solution of linear inequations of two variables by graphs, Binomial theorem and its application, Binary system of numbers, Quadratic equations with real coefficients, Permutation and Combination, Logarithms and their applications.

**Differential Calculus:** Geometrical and physical interpretation of a derivative, algebraic operations on continuous functions, Application of derivatives in problems of maxima and minima, Concept of a real-valued function – applications, Derivative of a function at a point, Derivatives of sum, Composite functions, one to one, onto and inverse functions, – Applications, Continuity of functions increasing and decreasing functions – examples, product, and quotient of functions, derivative of a function with respect of another function, derivative of a composite function and Second order derivatives.

**Vector Algebra: **Scalar multiplication of vector, scalar product or dot product of two-vectors and in geometrical problems, Unit, and null vectors, magnitude, and direction of a vector, Vectors in two and three dimensions, Applications-work done by a force and moment of a force, Vector product addition of vectors and cross product of two vectors.

**Integral Calculus and Differential equations: ** Solution of first order and first-degree differential equations of various types – examples, Evaluation of definite integrals, standard integrals involving algebraic expressions – determination of areas of plane regions bounded by curves – applications, General and particular solution of a differential equation, Integration by substitution and by parts, formation of a differential equation by examples, trigonometric, Definition of order and degree of a differential equation, exponential and hyperbolic functions, Integration as inverse of differentiation, Application in problems of growth and decay.

**Matrices and Determinants: **Types of Matrices, Determinant of a matrix, adjoint, and inverse of a square matrix, operations on matrices, basic properties of the determinant.

**Statistics: **Classification of data, Frequency distribution, Histogram – median and mode, mean, Pie Chart, Frequency Polygon – examples, cumulative frequency distribution – examples Graphical representation – Measures of Central tendency, Variance and standard deviation – determination and comparison, Correlation and regression.

**Probability:** Binomial distribution, Bayes’ theorem – simple problems, impossible and certain events, Union and Intersection of events, Complementary, elementary and composite events, Definition of probability – classical and statistical – examples, Conditional probability, Random variable as function on a sample space, Elementary theorems on probability – simple problems, outcomes, and associated sample space, Random experiment, events, mutually exclusive and exhaustive events, examples of random experiments giving rise to Binominal distribution, Binomial distribution, examples of random experiments giving rise to Binominal distribution.

### General Ability Syllabus:

The general ability there is two sections of paper First is Part A & Second is Part B for more candidates can find the brief below:

**General Ability Section – Part A:**

**English:** The NDA English syllabus there are covers some topics such as Grammar & usage, vocabulary, comprehension, and cohesion in extended text to test the candidate’s proficiency in English.

**General Ability Section – Part B**

**General Knowledge:** Candidates must have good current & past General Knowledge and also covers the subjects that include Chemistry, Physics, General Science, Social Studies, Geography, and Current Events.

**Section A – Physics: **Physics syllabus some chapters include that is below:

Force and Momentum, Simple musical instruments, Sound waves, and their properties, Properties of a Magnet, Natural and Artificial Magnets, Earth as a Magnet, Pumps, Siphon, Levers, Balloon, Hydrometer, Gramophone, Pressure Cooker, Parallelogram of Forces, Motion of objects, Newton’s Laws of Motion, Gravitation, elementary ideas of work, Stability and Equilibrium of bodies, Power and Energy, Velocity and Acceleration, Thermos Flask, Telegraphs, Telescope, Telephone, Periscope, Microscope, Mariner’s Compass; Simple Pendulum, Lightening Conductors, Safety Fuses.

Change of State and Latent Heat, Pressure Barometer, Conductors and Non-conductors, Ohm’s Law, Effects of Heat, Rectilinear propagation of Light, Reflection and refraction. Spherical mirrors and Lenses. Human Eye, Measurement of temperature and heat, Modes of transference of Heat, Simple Pulleys, Physical Properties and States of Matter, Mass, Weight, Volume, Density, and Specific Gravity, Principle of Archimedes, Static and Current Electricity, Simple Electrical Circuits, Heating, Lighting and Magnetic effects of Current, Measurement of Electrical Power, Primary and Secondary Cells, Use of X-Rays.

**Section B – Chemistry**

Preparation and Properties of Hydrogen, Material used in the preparation of substances like soap, Oxygen, bases and salts, Formulas and simple Chemical Equations, Law of Chemical Combination (excluding problems). Properties of Air and Water, Fertilizers, Nitrogen and Carbon-Di-oxide, Oxidation and Reduction, Different forms, Physical and Chemical changes. Symbols, Glass, Ink, Paper, Cement, Paints, Safety Matches, and Gun-Powder, Carbon, Acids, Elements, Mixtures and Compounds – Natural and Artificial, Elementary ideas about the Structure of Atom, Valency, Atomic, Equivalent and Molecular Weights,

**Section C – General Science**

Basis of Life – Cells, Elementary knowledge of human body and its important organs, Food – Common Epidemics, their causes and prevention, Achievements of Eminent Scientists, Protoplasms and Tissues, Constituents of food, Balanced Diet, Difference between the living and non-living, Source of Energy for man, Growth and Reproduction in Plants and Animals, The Solar System – Meteors and Comets, Eclipses.

**Section D – History**

Freedom Movement in India, Forces shaping the modern world, Elementary knowledge of Five Year Plans of India, Elementary study of Indian Constitution and Administration, Renaissance, Exploration and Discovery, Impact of Science and Technology on Society, Concept of one World, War of American Independence, French Revolution, Bhoodan, A broad survey of Indian History, with emphasis on Culture and Civilisation, Sarvodaya, National Integration and Welfare State, Basic Teachings of Mahatma Gandhi, Panchayati Raj, Industrial Revolution and Russian Revolution, Co-operatives and Community Development, United Nations, Panchsheel, Democracy, Socialism and Communism, Role of India in the present world.

**ALSO READ: NDA EXAM PATTERN 2021.**

**Section E – Geography**

Rocks and their classification, Earthquakes and volcanoes, Atmosphere and its composition, Temperature and Atmospheric Pressure, Humidity, Movements of Earth and their effects, Ocean Currents and Tides, Condensation and Precipitation, Major Natural regions of the World, Types of Climate, The Earth, its shape and size, Latitudes and Longitudes, Planetary Winds, cyclones and Anti-cyclones, Important Sea ports and main sea, land, and air routes of India. Main items of Imports and Exports of India, Origin of Earth, Weathering – Mechanical and Chemical, Concept of time, International Date Line, Regional Geography of India – Climate, Natural vegetation. Mineral and Power resources, location and distribution of agricultural and industrial activities.

**Section F – Current Events**

You have to aware of the world’s current events. also the knowledge of the current most important events of India in current years. Knowledge of Olympics games medals, India & international sports.

The above-mentioned syllabus is not compulsory to come to the exam. NDA question paper pattern changes every year. Here we mention the syllabus according to the previous year.