MathematicsConcept of set, operations on sets, Venn diagrams. DE Morgan laws, Cartesian product, relation, equivalence relation. Representation of real numbers on a line.GAT (General Ability Test)

Grammar & usage, 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.

MathematicsComplex numbers—basic properties, modulus, argument, cube roots of unity. Binary system of numbers. Conversion of a number in a decimal system to a binary system and vice-versa.GAT (General Ability Test)

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.

MathematicsArithmetic, Geometric, and Harmonic progressions. Quadratic equations with real coefficients. Solution of linear equations of two variables by graphs. Permutation and Combination. Binomial theorem and its applications.Logarithms and their applications.GAT (General Ability Test)

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.

MathematicsTypes of matrices, operations on matrices. Determinant of a matrix, basic properties of determinants.GAT (General Ability Test)

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; Lightning Conductors, Safety Fuses.

MathematicsAdjoint 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.GAT (General Ability Test)

Physical and Chemical changes. Elements, Mixtures and Compounds, Symbols, Formulae and simple Chemical Equations, Law of Chemical Combination (excluding problems).

MathematicsAngles and their measures in degrees and in radians. Trigonometrically ratios. Trigonometric identities Sum and difference formulae. Multiple and Sub-multiple angles.GAT (General Ability Test)

Carbon—different forms. Fertilizers—Natural and Artificial. The 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 Atoms, Atomic Equivalent and Molecular Weights, and Valency.

MathematicsInverse trigonometric functions. Applications-Height and distance, properties of triangles.GAT (General Ability Test)

Difference between the living and nonliving. Basis of Life—Cells, Protoplasms, and Tissues.

MathematicsInverse trigonometric functions. Applications-Height and distance, properties of triangles.GAT (General Ability Test)

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.

MathematicsRectangular Cartesian Coordinate system. Distance formula. Equation of a line in various forms. The angle between two lines. Distance of a point from a line.GAT (General Ability Test)

A broad survey of Indian History, with emphasis on Culture and Civilisation.Freedom Movement in India.

MathematicsEquation of a circle in standard and in a general form. Standard forms of parabola, ellipse, and hyperbola. Eccentricity and axis of a conic.GAT (General Ability Test)

Panchayati Raj, Co-operatives and Community Development. Bhoodan, Sarvodaya, National Integration and Welfare State, Basic Teachings of Mahatma Gandhi.

MathematicsDirection 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.GAT (General Ability Test)

Concept of one World, United Nations, Panchsheel, Democracy, Socialism, and Communism. Role of India in the present world.

MathematicsConcept 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—examples. Continuity of functions—examples, algebraic operations on continuous functions.GAT (General Ability Test)

The Earth, its shape and size. Latitudes and Longitudes, Concept of time. International Date Line. Movements of Earth and their effects.

MathematicsDerivative of function at a point, geometrical and physical interpretation of a derivative—applications.GAT (General Ability Test)

Origin of Earth. Rocks and their classification; Weathering, Mechanical and Chemical, Earthquakes, and Volcanoes.

MathematicsSecond-order derivatives. Increasing and decreasing functions. Application of derivatives in problems of maxima and minima.GAT (General Ability Test)

Ocean Currents and Tides Atmosphere and its composition; Temperature and Atmospheric Pressure, Planetary Winds, Cyclones, and Anticyclones; Humidity; Condensation and Precipitation; Types of Climate, Major Natural Regions of the World.

MathematicsIntegration as the 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.GAT (General Ability Test)

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.

MathematicsIntegration as the 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.GAT (General Ability Test)

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.

MathematicsDefinition of order and degree of a differential equation, formation of a differential equation by examples.GAT (General Ability Test)

Forces shaping the modern world; Renaissance, Exploration, and Discovery; War of American Independence.

MathematicsVectors 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.GAT (General Ability Test)

Elementary study of the Indian Constitution and Administration. Elementary knowledge of Five Year Plans of India.

MathematicsVector product or cross product of two vectors. Applications—work done by a force and moment of a force and in geometrical problems.GAT (General Ability Test)

Growth and Reproduction in Plants and Animals.Elementary knowledge of the Human Body and its important organs.

MathematicsStatistics: Classification of data, Frequency distribution, cumulative frequency distribution—examples. GraphicalGAT (General Ability Test)

Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet.Static and Current Electricity, conductors and Nonconductors, Ohm’s Law, Simple Electrical Circuits, Heating, Lighting, and Magnetic effects of Current,

MathematicsRepresentation—Histogram, Pie Chart, frequency polygon—examples. Measures of Central tendency—Mean, median, and mode. Variance and standard deviation—determination and comparison. Correlation and regression.GAT (General Ability Test)

Properties of Air and Water.Preparation and Properties of Hydrogen, Oxygen, Nitrogen, and Carbon dioxide, Oxidation and Reduction. Acids, bases, and salts.

MathematicsDerivatives of sum, product, and quotient of functions, the derivative of a function with respect to another function, derivative of a composite function.GAT (General Ability Test)

Spotting errors, Para Jumbling, Filling in the blanks, Synonyms & Antonyms.

MathematicsGeneral and particular solutions of differential equations, solutions of the first order, and first-degree differential equations of various types—examples. Application in problems of growth and decay.GAT (General Ability Test)

 French Revolution, Industrial Revolution, and Russian Revolution. Impact of Science and Technology on Society.

MathematicsPoint in a three-dimensional space, distance between two points. Direction Cosines and direction ratios. Equation two points.GAT (General Ability Test)

Vocabulary, Cloze Test, Idioms & Proverbs, Completion of Sentence