NDA Syllabus 2022: Check NDA 1 & 2 Subject Wise 'Syllabus, Download PDF

2 Papers

General Ability Test (GAT)

Mathematics

Yes

Mathematics- 0.83 marks

GAT- 1.33 marks

Total- 270

Gat- 150

Mathematics- 120

Total- 900 marks

Mathematics- 300 marks

GAT- 600 marks

1. Para Jumbling
2. Vocabulary
3. sentence Correction & Improvement
4. Grammar & usage
5. Completion of Sentence & Para
6. Fill in the blanks
7. Spotting of errors
8. Cloze Test
9. Synonyms & Antonyms
10. Idioms & Proverbs
11. Comprehension & cohesion

Heat effects, temperature, and heat measurement, state change, latent heat, heat transfer modes. Rectilinear light, reflection, and refraction propagation. Spherical mirrors and human eye lenses. Natural and artificial magnets, a magnet’s properties, earth as a magnet.

Matter and its properties(mass, weight, etc)and specific gravity, Archimedes principle, Motion, Velocity and Acceleration, Newton’s Laws of Motion, Force and Momentum, Force Parallelogram, Stability, and Body Equilibrium, Gravity, Elementary Work Ideas, Power and Energy.

Simple Pendulum, Simple Pulleys, Telegraph, Telephone, Periscope, Telescope, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Microscope, Mariner’s Compass.

Electricity, Ohm’s Law, conductors and non-conductors, Simple Electrical Circuits, Current Heating, Lighting and Magnetic Effects, Electrical Power Measurement, Primary and Secondary Cells, X-Ray Use.

Material used in the preparation of substances such as Soap, Glass, Ink, Paper, Cement, Paints, Gun-Powder and Safety Matches.

Chemical Combination Law.

Changes in physical and chemical conditions.

Air and water properties.

Hydrogen, oxygen, nitrogen, and carbon dioxide preparation and properties, oxidation, and reduction. Acids, bases, salts, etc. Carbon— various forms. Fertilizers— Artificial and Natural.

Basic ideas on Atom, Atomic Equivalent and Molecular Weights structure, Valence.

Living and non-living differences. Life basis — cells, protoplasms, tissues.

Common epidemics, causes, and prevention of them. Food — man’s energy source.

Plant and animal growth and reproduction. Human Body’s basic knowledge and its important organs

.Meteors and Comets Solar System, Eclipses. Eminent Scientists ‘ achievements.

Food constituents, balanced diet.

A comprehensive survey of Indian History, focusing on culture and civilization.

Freedom movement. Indian Constitution and Administration elementary study.

One World Concept, UN, Panchsheel, Democracy, Socialism, and Communism.

India’s Five Year Plans.

French Revolution, Russian Revolution, and the Industrial Revolution.

American Independence War.

Impact on society of science and technology.

Panchayati Raj, Community Development Co-operatives. Bhoodan, Sarvodaya, Mahatma Gandhi’s Basic Teachings, National Integration and Welfare State. Modern world forces; Renaissance, Exploration, and Discovery;

India’s role in today’s world.

The shape and size of the Earth. Lattitudes, Longitudes, Time Concept. Date-Line International. Earth’s movements and effects.

India’s regional geography— climate, natural vegetation.

Earth’s origin. Rocks and their classification; mechanical and chemical weathering, earthquakes, and volcanoes. Ocean Currents and Tides Atmosphere and their composition; Temperature and Atmospheric Pressure, Planetary Winds, Cyclones, and Anti-cyclones; Humidity; Condensation 23 and Precipitation; Climate Types, World’s Major Natural Regions.

Resources for minerals and power; location and distribution of agricultural and industrial activities. Important seaports and major seaports, land, and air routes

Knowledge of major events that have occurred in India over the past few years.

Latest appointments

Important exercises conducted between countries worldwide with special reference to IndiaCurrent major events in the world.

Important personalities around the world including those related to cultural and sports activities

Set concept, sets operations, Venn diagrams. Laws of De Morgan, Cartesian product, relationship, the relationship of equivalence.

Permutation and Combination.

Real number representation on a line. Complex numbers— basic properties, module, argument, unity cube roots. Binary number system.

Real-coefficient quadratic equations The solution of linear inequations of two variables by graphs.

Conversion to the binary system of a number in the decimal system and vice versa. Progressions in arithmetic, geometry, and harmony.

Binomial theorem and its applications. Logarithms and their applications. 

Matrix types, matrix operations.

The determinant of a matrix, determinants ‘ properties. Application-Solution of a system of linear equations in two or three unknowns by the Cranmer’s Rule and by the Matrix method

Angles and their degree and measurements.

Trigonometric ratios. Sum of trigonometric identities and formulas.

Multiple angles and sub-multiples.

Trigonometric functions & their inverse. Applications-Height and Distance, Triangle Properties.

The Cartesian Rectangular Coordinate System

Formula of distance. Equation of a line in different shapes.

A plane equation and a line in different forms.

Two lines of angle. A point’s distance from a line. Standard and general equation of a circle.

Cosines of direction and ratios of direction.

Parabola, ellipse, and hyperbola are standard forms. A conic’s eccentricity and axis. Point the distance between two points in a three-dimensional space. Cosines of direction and ratios of direction. Two points of the equation.

Two lines of the angle between two planes. Sphere’s equation.

Concept of a valued function–a function’s domain, range, and graph.

Derivatives of the second order. Increasing and diminishing functions.

Composite functions, one by one, on, and vice versa.

Function derivative at a point, geometric and physical interpretation of an application derivative.

Continuity of functions— examples, continuous functional algebraic operations

Summary derivatives, product, and function quotient derivatives, function derivatives for another function, 20 composite function derivatives.

Limit notion, default limits — examples.

Application of derivatives in maxima and minima problems.

Differentiation and integration, standard integrals with algebraic expressions, trigonometric, exponential, and hyperbolic functions.

General and particular solution of differential equations, solution of the first order, and 1st-degree differential equations of various types—examples.

Definite integrals — determination of areas of curved plane regions — applications.

Application in problems of growth and decay. 

2D and 3D vectors, vector magnitude, and direction.

Applications — work done through force and moment of force and in geometric problems.

Unit and null vectors, vector adding, scalar-vector multiplication, scalar product or dot product, vector product, or cross product

Statistics: data classification, distribution of frequencies, the cumulative distribution of frequencies — examples.

Sample space, events, exhaustive events & mutually exclusive, impossible and certain events associated with random experiments, results and associated. Union and events intersection. Complementary, composite, and elementary events. 

Examples of graphic representation— histogram, pie chart, polygon frequency. Central tendency measurements — mean, median, and mode. Variance and deviation of standard — determination, and comparison. Correlation and regression 

The conditional likelihood, the theorem of Bayes — simple problems.

Probability definition— classical and statistical— examples. Elementary probability theorems — simple issues.

Random variable on a sample space as a function. Binomial distribution, examples of random experiments, the binomial distribution.