Subject 
Code 
Duration 
Maximum Marks 
Mathematics 
01 
2½ Hours 
300 
General Ability Test 
02 
2½ Hours 
600 



Total 900 
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 logirithmic table for answering objective type papers (Test Booklets). They should not therefore, bring the same inside the Examination Hall.
(i) a citizen of India, or
(ii) a subject of Bhutan, or
(iii) a subject of Nepal, or
(iv) a Tibetan refugee who came over to India before the 1st January, 1962 with the intention of permanently settling in India, or
(v) a person of Indian origin who has migrated from Pakistan, Burma, Sri Lanka and East African Countries of Kenya, Uganda, the United Republic of Tanzania, Zambia, Malawi, Zaire and Ethiopia and Vietnam with the intention of permanently settling in India.
Provided that a candidate belonging to categories (ii), (iii), (iv) and (v) above shall be a person in whose favour a certificate of eligibility has been issued by the Government of India.
Certificate of eligibility will not, however, be necessary in the case of candidates who are Gorkha subjects of Nepal.
(b) Age Limits, Sex and Marital Status : "Only unmarried male candidates born not earlier than 2nd July, 1993 and not later than 1st January, 1996 are eligible".
The date of birth accepted by the Commission is that entered in the Matriculation or Secondary School Leaving Certificate or in a certificate recognised by an Indian University as equivalent to Matriculation or in an extract from a Register of Matriculates maintained by a University which must be certified by the proper authority of the University or in the Higher Secondary or an equivalent examination certificates. These certificates are required to be submitted only after the declaration of the result of the written part of the examination. No other document relating to age like horoscopes, affidavits, birth extracts from Municipal Corporation, service records and the like will be accepted. The expression Matriculation/Higher Secondary Examination Certificate in this part of the instruction includes the alternative certificates mentioned above.
Educational Qualifications :2.Matrices and Determinants:
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.
3.Trigonometry:
Angles and their measures in degrees and in radians. Trigonometrical
ratios. Trigonometric identities Sum and difference formulae.
Multiple and Submultiple angles. Inverse trigonometric functions.
Applications  Height and distance, properties of triangles.
4.Analytical 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.
5.Differential Calculus:
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.
6.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 solution of a differential equation, solution of first
order and first degree differential equations of various types 
examples. Application in problems of growth and decay.
7. Vector Algebra :_
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
twovectors. Vector product and cross product of two vectors.
Applicationswork done by a force and moment of a force, and in
geometrical problems.
Part ‘B’  GENERAL KNOWLEDGE
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