# NDA Syllabus 2023

National Defence Academy (NDA) is the Joint Services academy of the Indian Armed Forces. The Union Public Service Commission (UPSC) conducts the NDA Exam twice a year as a national-level exam. Male candidates typically seek this highly desirable defence job, and selection is based on a written test followed by a Personality Test. The NDA written examination consists of two papers: Mathematics and General Ability Test (GAT). Aspiring applicants, both male and female, should refer to the detailed NDA Syllabus 2023 outlined in this article to begin their exam preparation.

## NDA Syllabus 2023

NDA Mathematics Syllabus:

The chapters covered for NDA Maths Syllabus are given in the table below.

 Mathematics Topic Topic-wise 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 vice-versa. 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. The 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-application. Derivatives of sum, product, and quotient of functions, a derivative of a function concerning another function, the 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, Applications-Solution of a system of linear equations in two or three unknowns by Cramer’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 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. Trigonometry Angles and their measures in degrees and radians. Trigonometric ratios. Trigonometric identities Sum and difference formulae. Multiple and Sub-multiple angles. Inverse trigonometric functions. Applications-Height and distance, properties of triangles. Vector Algebra 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. Analytical Geometry Of Two and Three Dimension Rectangular Cartesian Coordinate system. Distance formula. Equation of a line in various forms. The angle between two lines. Distance of a point from a line. Equation of a circle in standard and 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. The angle between two lines and the 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 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 Binomial distribution.

## NDA General Ability Test Syllabus

The General ability test comprises two papers English and General Knowledge. The English paper consists of 200 Marks while the General Knowledge is of 400 Marks.

 Topic No. of Questions No. of Marks Spotting Errors 5 20 Comprehension 6 24 Selecting Words 10 40 Ordering of Words in a Sentence 9 36 Sentence Improvement 10 40 Antonyms 5 20 Synonyms 5 20 Total 50

NDA Syllabus- General Knowledge

 Topic No. of Questions No. of Marks Physics 23 92 Chemistry 16 64 General Science 11 44 History & Freedom Movement 16 64 Geography 17 68 Current Events 17 68 Total 100 400

NDA Syllabus- Physics

1. Physical Properties and States of Matter
2. Modes of transference of Heat
3. Mass, Weight, Volume, Sound waves and their properties
4. Simple musical instruments
5. Rectilinear propagation of Light
6. Density and Specific Gravity
7. Reflection and refraction
8. Principle of Archimedes
9. Spherical mirrors and Lenses
10. Pressure Barometer
11. Human Eye
12. Motion of objects
13. Natural and Artificial Magnets
14. Velocity and Acceleration
15. Properties of a Magnet
16. Newton’s Laws of Motion
17. Earth as a Magnet
18. Force and Momentum
19. Static and Current Electricity
20. Parallelogram of Forces
21. Conductors and Non-conductors
22. Stability and Equilibrium of bodies
23. Ohm’s Law
24. Gravitation
25. Simple Electrical Circuits
26. Elementary ideas of work
27. Heating, Lighting, and Magnetic effects of Current
28. Power and Energy
29. Measurement of Electrical Power
30. Effects of Heat
31. Primary and Secondary Cells
32. Measurement of Temperature and Heat
33. Use of X-Rays
34. General Principles in the working of Simple Pendulum, Simple Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightning Conductors, Safety Fuses.

NDA Syllabus- Chemistry

1. Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon Dioxide, Oxidation and Reduction.
2. Acids, bases and salts.
3. Carbon— different forms
4. Physical and Chemical Changes
5. Fertilizers—Natural and Artificial
6. Elements
7. Material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and Gunpowder
8. Mixtures and Compounds
9. Elementary ideas about the structure of Atom
10. Symbols, Formulae, and simple Chemical Equation
11. Atomic Equivalent and Molecular Weights
12. Law of Chemical Combination (excluding problems)
13. Valency
14. Properties of Air and Water

NDA Syllabus- General Science

1. Common Epidemics, their causes, and prevention
2. Difference between the living and non-living
3. Food—Source of Energy for man
4. Basis of Life—Cells, Protoplasms, and Tissues
5. Constituents of food
6. Growth and Reproduction in Plants and Animals
7. Balanced Diet
8. Elementary knowledge of the Human Body and its important organs
9. The Solar System—Meteors and Comets, Eclipses. Achievements of Eminent Scientists

NDA Syllabus- History, Freedom Movement

1. Forces shaping the modern world;
2. Renaissance
3. Exploration and Discovery;
4. A broad survey of Indian History, with emphasis on Culture and Civilisation
5. Freedom Movement in India
6. French Revolution, Industrial Revolution, and Russian Revolution
7. War of American Independence,
8. Impact of Science and Technology on Society
9. Elementary study of Indian Constitution and Administration
10. Concept of one World
11. Elementary knowledge of Five Year Plans of India
12. United Nations,
13. Panchsheel,
14. Panchayati Raj, Democracy, Socialism and Communism
15. Role of India in the present world
16. Co-operatives and Community Development
17. Bhoodan, Sarvodaya,
18. National Integration and Welfare State
19. Basic Teachings of Mahatma Gandhi

NDA Syllabus- Geography

1. The Earth, its shape and size
2. Ocean Currents and Tides Atmosphere and its composition
3. Latitudes and Longitudes
4. Temperature and Atmospheric Pressure, Planetary Winds, Cyclones, and Anticyclones; Humidity; Condensation and Precipitation
5. Concept of time
6. Types of Climate
7. International Date Line
8. Major Natural Regions of the World
9. Movements of Earth and their effects
10. Regional Geography of India
11. Climate, Natural vegetation. Mineral and Power resources;
12. Location and distribution of agricultural and Industrial activities
13. Origin of Earth. Rocks and their classification
14. Important Sea ports and main sea, land, and air routes of India
15. Weathering—Mechanical and Chemical, Earthquakes and Volcanoes
16. Main items of Imports and Exports of India

Intelligence and Personality Test

 NDA SSB Personality Test Stage I Officer Intelligence Rating (OIR) Picture Perception Description Test (PP&DT). Stage II Interview (IO) Group Testing Officer Tasks (GTO) Psychology Tests (Psych) Conference

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