Part A

English

The question paper in English will be designed to test the candidate’s understanding of English and workmanlike use of words. The syllabus covers various aspects like: Grammar and usage, vocabulary, comprehension, and cohesion in extended text to test the candidate’s proficiency in English.

200

Part B

General Knowledge

The question paper on General Knowledge will broadly cover Physics, Chemistry, General Science, Social Studies, Geography, and Current Events. The syllabus given below is designed to indicate the scope of these subjects included in this paper. The topics mentioned are not to be regarded as exhaustive and questions on topics of similar nature not specifically mentioned in the syllabus may also be asked. Candidate’s answers are expected to show their knowledge and intelligent understanding of the subject.

400

Section A (Physics)

1. Physical Properties and States of Matter

2. Mass, Weight, Volume, Density, and Specific Gravity

3. Principle of Archimedes

4. Pressure Barometer

5. Motion of objects, Velocity and Acceleration

6. Newton’s Laws of Motion

7. Force and Momentum

8. Parallelogram of Forces

9. Stability and Equilibrium of bodies

10. Gravitation

11. Elementary ideas of work, Power and Energy

12. Effects of Heat, Measurement of Temperature and Heat, change of State and Latent Heat

13. Modes of transference of Heat

14. Sound waves and their properties

15. Simple musical instruments

16. Rectilinear propagation of Light, Reflection and refraction

17. Spherical mirrors and Lenses

18. Human Eye

19. Natural and Artificial Magnets

20. Properties of a Magnet

21. Earth as a Magnet2

2. Static and Current Electricity

23. Conductors and Non-conductors

24. Ohm’s Law

25. Simple Electrical Circuits

26. Heating, Lighting and Magnetic effects of Current

27. Measurement of Electrical Power

28. Primary and Secondary Cells

29. Use of X-Rays

30. General Principles in the working of 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.

Section B (Chemistry)

1. Physical and Chemical changes

2. Elements, Mixtures and Compounds

3. Symbols, Formulae and simple Chemical Equations

4. Law of Chemical Combination (excluding problems)

5. Properties of Air and Water

6. Preparation and Properties of Hydrogen, Oxygen, Nitrogen, and Carbon dioxide, Oxidation and Reduction

7. Acids, bases and salts

8. Carbon—different forms

9. Fertilizers—Natural and Artificial

10. Material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and Gunpowder

11. Elementary ideas about the structure of Atom

12. Atomic Equivalent and Molecular Weights

13. Valency

Section C (General Science)

1. Difference between the living and non-living

2. Basis of Life—Cells, Protoplasms, and Tissues

3. Growth and Reproduction in Plants and Animals

4. Elementary knowledge of Human Body and its important organs

5. Common Epidemics, their causes and prevention

6. Food—Source of Energy for man

7. Constituents of food

8. Balanced Diet

9. The Solar System—Meteors and Comets, Eclipses

10. Achievements of Eminent Scientists

Section D (History, Freedom Movement, etc.)

1. A broad survey of Indian History, with emphasis on Culture and Civilization

2. Freedom Movement in India

3. Elementary study of Indian Constitution and Administration

4. Elementary knowledge of Five Year Plans of India

5. Panchayati Raj, Co-operatives and Community Development

6. Bhoodan, Sarvodaya, National Integration and Welfare State

7. Basic Teachings of Mahatma Gandhi

8. Forces shaping the modern world; Renaissance, Exploration and Discovery

9. War of American Independence

10. French Revolution, Industrial Revolution and Russian Revolution

11. Impact of Science and Technology on Society

12. Concept of one World

13. United Nations

14. Panchsheel, Democracy, Socialism, and Communism

15. Role of India in the present world

Section E (Geography)

1. The Earth, its shape and size

2. Latitudes and Longitudes, Concept of time

3. International Date Line

4. Movements of Earth and their effects

5. Origin of Earth

6. Rocks and their classification

7. Weathering—Mechanical and Chemical, Earthquakes, and Volcanoes

8. Ocean Currents and Tides<br>9. Atmosphere and its composition

10. Temperature and Atmospheric Pressure, Planetary Winds, Cyclones and Anti-cyclones

11. Humidity; Condensation and Precipitation; Types of Climate

12. Major Natural regions of the World

13. Regional Geography of India—Climate, Natural vegetation, Mineral and Power resources

14. Location and distribution of agricultural and Industrial activities

15. Important Sea ports and main sea, land, and air routes of India

16. Main items of Imports and Exports of India

Section F (Current Events)

1. Knowledge of Important events that have happened in India in the recent years

2. Current important world events

3. Prominent personalities—both Indian and International including those connected with cultural activities and sports

Unit I: Sets and Functions

Sets

Sets and their representations, Empty set, Finite and Infinite sets, Equal sets, Subsets, Subsets of a set of real numbers especially intervals (with notations). Universal set, Venn diagrams, Union and Intersection of sets, Difference of sets, Complement of a set, Properties of Complement.

Relations & Functions

Ordered pairs, Cartesian product of sets, Number of elements in the Cartesian product of two finite sets, Cartesian product of the set of reals with itself (upto R x R x R). Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special type of relation. Pictorial representation of a function, domain, co-domain and range of a function. Real valued functions, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs. Sum, difference, product and quotients of functions.

Trigonometric Functions

Positive and negative angles. Measuring angles in radians and in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle. Truth of the identity sin^2x + cos^2x = 1, for all x. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs. Expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx & cosy and their simple applications. Deducing identities like tan(x ± y) = (tan x ± tan y)/(1 ∓ tan x tan y), cot(x ± y) = (cot x cot y ∓ 1)/(cot y ± cot x), sinα ± sinβ = 2sin(1/2)(α ± β)cos(1/2)(α ∓ β), cosα + cosβ = 2cos(1/2)(α + β)cos(1/2)(α − β), cosα − cosβ = −2sin(1/2)(α + β)sin(1/2)(α − β), Identities related to sin2x, cos2x, tan2 x, sin3x, cos3x and tan3x.

Unit II: Algebra

Complex Numbers and Quadratic Equations

Need for complex numbers, especially√−1, to be motivated by inability to solve some of the quadratic equations. Algebraic properties of complex numbers. Argand plane

Linear Inequalities

Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line.

Permutations and Combinations

Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, derivation of Formulae for nPr and nCr and their connections, simple applications.

Binomial Theorem

Historical perspective, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle, simple applications.

Sequence and Series

Sequence and Series. Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., sum of n terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M.

Unit III: Coordinate Geometry

Straight Lines

Brief recall of two-dimensional geometry from earlier classes. Slope of a line and angle between two lines. Various forms of equations of a line: parallel to axis, point-slope form, slope-intercept form, two-point form, intercept form, Distance of a point from a line.

Conic Sections

Sections of a cone: circles, ellipse, parabola, hyperbola, a point, a straight line and a pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.

Introduction to Three-dimensional Geometry

Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points.

Unit IV: Calculus

Limits and Derivatives

Derivative introduced as rate of change both as that of distance function and geometrically. Intuitive idea of limit. Limits of polynomials and rational functions, trigonometric, exponential and logarithmic functions. Definition of derivative relate it to scope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.

Unit V: Statistics and Probability

Statistics

Measures of Dispersion: Range, Mean deviation, variance and standard deviation of ungrouped/grouped data.

Probability

Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with other theories of earlier classes. Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.