Paper I (Mathematics) –

Algebra, Matrices and Determinants, Trignometry, Analytical Geometryof two and three dimensions, Differenial Calculus, Integral Calculus and Differential equations, Vector Algebra, Statistics and Probability, Probability

Paper II- General Ability Test
Part A (English) – Grammar and usage, vocabulary, comprehension and cohesion in extended texts to test the candidate’s proficiency in English.

Part B (General Knowledge) – The question paper of General Knowledge will cover all the subjects: Physics, Chemistry, General Science, Social Studies, Geography and Current Events.These topics should not be taken as complete and questions on the same subject not specifically mentioned in the syllabus can be asked as well.

Section A Physics-
Static and Current Electricity: Conductors and Nonconductors. 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, Natural and Artificial Magnets.
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, Lightning Conductors & Safety Fuses. Physical Properties and States of MatterMass Weight, Volume, Density and Specific Gravity, Principle of Archimedes, Pressure Barometer,

Motion of Object:

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.
Sound waves and their properties. Simple musical instruments.
Rectilinear propagation of Light. Reflection and refraction.
Spherical mirrors and lenses. Human Eye.

Section B –Chemistry
Acids, Bases and Salts.
Carbon-different forms. Fertilizers-Natural and Artificial.
Materials used in preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches and Gunpowder.
Elementary ideas about the Structure of Atom, Atomic Equivalent and Molecular Weights & Valency.
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.

Section C -General Science
 Elementary knowledge of human body and its important organs. Common Epidemics, causes and prevention.Food-Source of energy for man. Constituents of food Balanced diet. Difference between the living and non-living.
Basis of Life-Cells, Protoplasm’s and Tissues.
Growth and Reproduction in Plants and Animals.The Solar System, Achievements of Eminent Scientists.

Section D – History, Freedom Movement, etc.
Elementary knowledge of Five-Year Plans of India.
Panchayati Raj, Cooperatives and Community Development.
Bhoodan. Sarvodaya. National Integration and Welfare State.
Basic Teachings of Mahatma Gandhi.
Forces shaping the modern world, A broad survey of Indian History, Culture and Civilization.
Freedom Movement in India.
Elementary study of Indian Constitution and Administration.

Section E –Geography
The Earth, its shape and size. Latitudes and Longitudes. Concept of Time. International Date Line. Movements of Earth & their effects.
Origin of Earth. Rocks & their classification. Weathering Mechanical & Chemical. Earthquakes and Volcanoes. 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.
Regional Geography of India-Climate, Natural vegetation. Mineral and Power resources; location and distribution of agricultural and industrial activities. Important Sea Ports & Sea; land & air routes of India. Imports and Exports of India.

Section F -Current Events-
Cultural, Sport, prominent personalities, events in the context of India and world& main events of India happened in recent years.