NDA Syllabus 2023, Download Math, English And GAT Syllabus PDF

and 150 from General Ability Test)

and 600 Marks for General Ability Test)

• Set theory, set operations, and Venn diagrams.
• De Morgan laws, relation, and the Cartesian product of equivalence.
• Real numbers are represented on a line.
• Basic characteristics, modulus, argument, and cube roots of unity of complex numbers.
• Binary number system.
• Conversion of a number between the binary and decimal systems.
• Progressions in geometry, harmony, and arithmetic.
• Real-coefficient quadratic equations
• Graph-based solutions to two-variable linear equations.
• Combination and Permutation.
• The binomial theorem and its uses.
• Applications for logarithms.

• Matrix types and Matrix operations
• Basic characteristics of determinants, a matrix’s determinant.
• Inverse and adjacent to a square matrix.
• Applications include the use of Cramer’s rule and the Matrix method to solve a system of linear equations with two or three unknowns.

• Angles and their degrees and radians measurements.
• Ratios of trigonometry.
• Formulas for the sum and difference of trigonometric identities.
• Sub-multiple and Multiple angles.
• Trigonometric operations in inverse.
• Applications include height and distance as well as triangular properties.

• Cartesian coordinates with a rectangular shape.
• Distance calculation.
• Many variations of a line’s equation and angles between two lines.
• A Point’s separation from a line.
• Circle equation in standard and general form.
• Parabola, ellipse, and hyperbola in their standard forms.
• A conic’s eccentricity and axis.
• Distance between two points at a point in three dimensions.
• Cosines and ratios of directions.
• Equation for two points
• Different equations involve a plane and a line.
• Angles between two planes and two lines.
• Equation for a sphere.

• Real-valued function concept, including domain, range, and function graph.
• Functions that are composite, one-to-one, onto, and inverse.
• Examples of a limit concept and standard limits.
• Examples and algebraic operations on continuous functions for the concept of function continuity.
• Applications for the geometrical and physical interpretations of a derivative of a function at a point.
• Derivatives of a function with respect to another function, derivatives of the sum, product, and quotient of functions, and derivatives of composite functions.
• Derivatives of the second order.
• Functions for increasing and decreasing.
• Application of derivatives to maxima and minima problems.

• Standard integrals using algebraic expressions, and trigonometric, exponential, and hyperbolic functions include integration as the inverse of differentiation, integration by substitution, and integration by parts.
• Applications for evaluating definite integrals include calculating the areas of flat regions bordered by curves.
• Definition of a differential equation’s order and degree, as well as examples of how to construct one.
• Examples include the general and specific solutions to differential equations, as well as the solutions to first-order and first-degree differential equations of various forms.
  application in growth and decay problems.

• Vectors in two and three dimensions, including a vector’s magnitude and direction.
• Unit and null vectors, vector addition, vector scalar multiplication, scalar product, or dot product of two vectors are all examples of vectors. Cross product of two vectors, or vector product.
• Applications include the work carried out by a force and its moment, as well as geometrical problems.

• Statistics
• Data classification, frequency distribution, and cumulative frequency distribution and their examples.
• The graphical representation includes frequency polygons, histograms, and pie charts and their examples.
• Mean, median, and mode constitute central tendency measures.
• Comparison and determination of variance and standard deviation.
• Correlation and regression.
• Probability
• Random experiment, events, mutually exclusive and exhaustive events, outcomes and associated sample space, impossible and certain events.
• Intersection and Union of events.
• Elementary, Complementary and composite events.
• Examples and a definition of probability, both classical and statistical.
• Simple problems with basic probability theorems.
• Simple problems include conditional probability and Bayes’ theorem.
• Using a random variable as a sample space function.
• Examples of random experiments that gave rise to the binomial distribution.

• Reading Comprehension & cohesion Questions.
• Cloze Test Questions
• Spotting the Error Questions.
• Fill in the Blanks Questions.
• Synonyms & Antonyms and Vocabulary Questions.
• Idioms and Phrases Questions.
• Sentence Arrangement or Para Jumbled Questions.
• Ordering of words in a Sentence Questions.
• Sentence Improvement or Sentence Correction Questions.
• Grammar and their usage type Questions

• Physical characteristics and states of matter, the Archimedes principle, pressure barometers, and mass, weight, volume, density, and specific gravity.
• Newton’s Laws of Motion, Velocity and Acceleration, Objects’ Motion, Force and Momentum, Parallelogram of Forces, Bodies’ Stability and Equilibrium, Gravitation, Basic Concepts of Work, Power and Energy.
• Effects of Heat, Temperature and Heat Measurement, State Change and Latent Heat, and Heat Transfer Modes.
• Simple musical instruments and their qualities, sound waves. Light propagation, reflection, and refraction along a straight line. Human eye, spherical mirrors, and lenses.
• Earth as a magnet, properties of a magnet, and natural and artificial magnets.
• Electrical power measurement, primary and secondary cells, use of X-rays, conductors and nonconductors, Ohm’s Law, simple electrical circuits, heating, lighting, and magnetic effects of current.
• General Principles for the following tools’ function:
• Simple Pendulums, Simple Pulleys, Siphons, Levers, Balloons, Pumps, Hydrometers, Pressure Cookers, Thermos Flasks, Gramophones, Telephones, Periscopes, Telescopes, Microscopes, Mariner’s Compasses, Lighting Conductors, and Safety Fuses.

• Chemical and physical changes.
• Law of Chemical Combination, Symbols, Formulae, and Simple Chemical Equations, Elements, Mixtures, and Compounds (excluding problems).
• Characteristics of water and air.
• Hydrogen, oxygen, nitrogen, and carbon dioxide preparation and properties, as well as oxidation and reduction.
• Salts, bases, and acids.
• Different types of carbon.
• Natural and artificial fertilizers.
• Materials used in the manufacturing of the substances include soap, glass, ink, paper, cement, paints, safety matches, and gunpowder.
• Basics of atomic structure, atomic equivalents, molecular weights, and valency

• Differences between living things and non-living things.
• Basis of Life: Tissues, Protoplasm, and Cells.
• Plant and animal growth and reproduction.
• Basic knowledge of the human body’s major organs
• The causes and prevention of common epidemics.
• Food: A Human’s source of energy.
• A balanced diet, dietary components.
• The Solar System, comets and meteors, and eclipses.
• Successes of Renowned Scientists.

• A comprehensive examination of Indian history with a focus on culture and civilization.
• Indian Freedom Movement
• Basic instruction on the Indian government and constitution.
• Basic understanding of India’s five-year plans. Cooperatives, Panchayati Raj, and Community Development.
• Basic Teachings of Mahatma Gandhi, Bhoodan, Sarvodaya, National Integration, and Welfare State.
• Renaissance, exploration, and discovery, as well as the American Revolutionary War, are factors influencing the modern world. the Industrial Revolution, the Russian Revolution, and the French Revolution.
• Social effects of science and technology.
• United Nations, Panchsheel, Democracy, Socialism, and Communism concepts. India’s role in the modern world.

• The size and shape of the Earth. Concept of time, latitudes, and longitudes. International Date Line.
• Earth’s movements and their consequences. Genesis of Earth.
• Classification of rocks; mechanical and chemical weathering; earthquakes and volcanoes.
• Climate types, the world’s major natural regions, ocean currents and tides, atmospheric pressure, temperature, planetary winds, cyclones, and anti-cyclones, humidity, condensation, and precipitation.
• India’s regional geography—Climate, Resources for minerals and energy, Natural Vegetation; the location and distribution of industrial and agricultural activity.
• Important seaports and India’s primary land, sea, and air routes.
• India’s primary imports and exports items.

• Knowledge of significant current events that have occurred in India in recent years.
• Current major Global developments.
• Prominent figures of India and around the world, including those involved in sports and culture.

Spotting errors, Vocabulary, Idioms and Phrases, etc.

Trigonometry, 2D and 3D Geometry, Differential Calculus, etc.

Physics, Chemistry, Basic Science, etc.