The subjects of the written examination, the time allowed and the maximum marks
allotted to each subject will be as follows :Ã¢â‚¬â€œ
General Ability Test
2. The papers in all the subjects
will consist of objective type questions only. The question papers (Test
Booklets) OF MATHEMATICS AND PART "b" OF GENERAL ABILITY TESTS WILL BE
SET BILINGUALLY IN HINDI AS WELL AS ENGLISH.
3. In the question papers, wherever
necessary, questions involving the metric system of Weights and Measures only
will be set.
4. Candidates must write the papers
in their own hand. In no circumstances will they be allowed the help of a scribe
to write answers for them.
5. The Commission have discretion
to fix qualifying marks in any or all the subjects at the examination.
6. The candidates are not permitted
to use calculator or Mathematical or logarithmic table for answering objective
type papers (Test Booklets). They should not therefore, bring the same inside
the Examination Hall.
Syllabus of the Examination
Mathematics (Code No. 01)
(Maximum Marks - 300) Paper-I
Concept of a 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
application. Logarithms and their applications.
Types of matrices, operations on
matrices Determinant of a matrix, basic properties of determinant. 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.
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.
Geometry of two and three dimensions:
Rectangular Cartesian Coordinate
system. Distance formula. Equation of a line in various forms. 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,
distance between two points. Direction Cosines and direction ratios. Equation of
a plane and a line in various forms. Angle between two lines and angle between
two planes. Equation of a sphere.
Concept of a real valued function -
domain, range and graph of a function. Composite functions, one to one, onto and
inverse functions. Notion of limit, Standard limits - examples. Continuity of
functions - examples, algebraic operations on continuous functions. Derivative
of a function at a point, geometrical and physical interpreatation of a
derivative - applications. Derivatives of sum, product and quotient of
functions, derivative of a function with respect of another function, derivative
of a composite function. Second order derivatives. Increasing and decreasing
functions. Application of derivatives in problems of maxima and minima.
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 solution of a
differential equation, solution of first order and first degree differential
equations of various types - examples. Application in problems of growth and
Vectors in two and three
dimensions, magnitude and direction of a vector. Unit and null vectors, addition
of vectors, scalar multiplication of vector, scalar product or dot product of
two-vectors. Vector product and cross product of two vectors. Applications-work
done by a force and moment of a force, and in geometrical problems.
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
General Ability Test (Code No. 02)
- ENGLISH (Maximum Marks
200). The question paper in English will be designed to test the
candidate's understanding of English and workman like 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.
'B' - GENERAL KNOWLEDGE
The question paper on General
Knowledge will broadly cover the subjects : 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.
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.
Effects of Heat, Measurement of
temperature and heat, change of State and Latent Heat, Modes of transference of
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,
Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask,
Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner's
Compass; Lightening Conductors, Safety Fuses.
Physical and Chemical changes.
Elements, Mixtures and Compounds, Symbols, Formulae and simple Chemical
Equations, Law of Chemical Combination (excluding problems). Properties of Air
Preparation and Properties of
Hydrogen, Oxygen, Nitrogen and Carbondioxide, Oxidation and Reduction.
Acids, bases and salts.
Carbon - different forms.
Fertilizers - Natural and
Material used in the preparation of
substances like soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and
Elementary ideas about the
Structure of Atom, Atomic, Equivalent and Molecular Weights, Valency.
'C' (General Science)
Difference between the living and
Basis of Life - Cells, Protoplasms
Growth and Reproduction in Plants
Elementary knowledge of human Body
and its important organs.
Common Epidemics, their causes and
Food - Source of Energy for man.
Constituents of food, Balanced Diet.
The Solar System - Meteors and
Achievements of Eminent Scientists.
'D' (History, Freedom Movement etc.)
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
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.
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.
'F' (Current Events)
Knowledge of Important events that
have happened in India in the recent years.
Current important world events.
Prominent personalities - both
Indian and International including those connected with cultural activities and