English, General Knowledge, Maths, Sciences, and General Aptitude are the subjects that have to be studied while preparing for the exam. These subjects are regularly taught in most of the recognised educational institutions located across the country. The lessons can be studied from the regular textbooks.
Study material can also be accessed at bookstores selling preparatory books for competitive exams which are present in every state of India. Students who cannot access the study material from the book shops can take refuge in the online world. Websites of popular coaching institutions and private individuals can be approached for the study material.
Study material can be accessed either free of cost or on payment of a certain amount from the websites. Popular online sales platforms also sell exam preparation books and they can be purchased from them. The books can be obtained either in physical form or in electronic form on mobile phones or other respective gadgets. However, the syllabus is being provided below for the sake of the students:
General Aptitude
| Physics |
Physical Properties and States of Matter, Mass, Weight, Volume, Density and Specific Gravity, Principle of Archimedes, Pressure Barometer. The 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. Effects of Heat, Measurement of Temperature and Heat, change of State and Latent Heat, 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. Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet. Static and Current Electricity, conductors and Non- conductors, Ohm’s Law, Simple Electrical Circuits, Heating, Lighting and Magnetic effects of Current, Measurement of Electrical Power, Primary and Secondary Cells, Use of X-Rays. General Principles in the working of the following: Simple Pendulum, Simple Pulleys, Siphons, Levers, Balloons, Pumps, Hydrometers, Pressure Cookers, Thermos Flasks, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightening Conductors, Safety Fuses. |
| Chemistry | Physical and Chemical changes. Elements, Mixtures and Compounds, Symbols, Formulae and simple Chemical Equations, Law of Chemical Combination (excluding problems). Properties of Air and Water. Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon dioxide, Oxidation and Reduction. Acids, bases and salts. Carbon different forms. Fertilizers Natural and Artificial. 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 Atom, Atomic Equivalent and Molecular Weights, Valency. |
| General Science |
Difference between living and non-living. Basis of Life—Cells, Protoplasms and Tissues. Growth and Reproduction in Plants and Animals. Elementary knowledge of the Human Body and its important organs. 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. |
| History and General Knowledge |
A broad survey of Indian History, with emphasis on Culture and Civilisation. Freedom Movement in India. Elementary study of Indian Constitution and Administration. Elementary knowledge of Five Year Plans of India. Panchayati Raj, Co-operatives and Community Development. Bhoodan, Sarvodaya, National Integration and Welfare State, Basic Teachings of Mahatma Gandhi. Forces shaping the modern world; Renaissance, Exploration and Discovery; War of American Independence. French Revolution, Industrial Revolution and Russian Revolution. Impact of Science and Technology on Society. Concept of one World, United Nations, Panchsheel, Democracy, Socialism and Communism. Role of India in the present world. |
| Geography |
The Earth, its shape and size. Lattitudes and Longitudes, Concept of time. International Date Line. Movements of Earth and their effects. Origin of Earth. Rocks and their classification; Weathering Mechanical and Chemical, Earthquakes and Volcanoes. Ocean Currents and Tides Atmosphere and its composition; Temperature and Atmospheric Pressure, Planetary Winds, Cyclones and Anti-cyclones; Humidity; Condensation and Precipitation; Types of Climate, Major Natural regions of the World. 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 and air routes of India. Main items of Imports and Exports of India. |
| Current Affairs |
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. |
Maths
| Algebra | Concept of set, operations on sets, Venn diagrams. De Morgan laws, Cartesian product, relation, equivalence relation. Representation of real numbers on a line. Complex numbers - basic properties, modulus, argument, cube roots of unity. Binary system of numbers. Conversion of a number in decimal system to binary system and vice-versa. Arithmetic, Geometric and Harmonic progressions. Quadratic equations with real coefficients. Solution of linear inequations of two variables by graphs. Permutation and Combination. Binomial theorem and its applications. Logarithms and their applications. |
| 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. |
| Trignometry | Angles and their measures in degrees and in radians. Trigonometrical ratios. Trigonometric identities Sum and difference formulae. Multiple and Sub-multiple angles. Inverse trigonometric functions. Applications-Height and distance, properties of triangles. |
| Analytical Geometry | 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 in 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. |
| Differential 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 examples. Continuity of functions examples, algebraic operations on continuous functions. Derivative of function at a point, geometrical and physical interpretation of derivative applications. Derivatives of sum, product and quotient of functions, the derivative of a function with respect to another function, the derivative of a composite function. Second-order derivatives. Increasing and decreasing functions. Application of derivatives in problems of maxima and minima. |
| 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 solutions of differential equations, solution of the first order and first-degree differential equations of various types - examples. Application in problems of growth and decay. |
| 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. |
| Statistics and Probability |
Classification of data, Frequency distribution, cumulative frequency distribution examples. Graphical representation, Histogram, Pie Chart, frequency polygon examples. Measures of Central tendency Mean, median and mode. Variance and standard deviation determination and comparison. Correlation and regression. 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 Binominal distribution. |
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