English
The question paper will be designed to test the candidate’s understanding of English and workman like use of words.
General Knowledge
General Knowledge including knowledge of current events and of such matters of everyday observation and experience in their scientific aspects as may be expected of an educated person who has not made a special duty of any scientific subject.
Elementary Mathematics
Arithmetic:- Number System—Natural numbers, Integers, Rational and Real numbers. Fundamental operations, addition, substraction, multiplication, division, Square roots, Decimal fractions. Unitary method, time and distance, time and work, percentages, applications to simple and compound interest, profit and loss, ratio and proportion, variation. Elementary Number Theory—Division algorithm. Prime and composite numbers. Tests of divisibility by 2, 3, 4, 5, 9 and 11. Multiples and factors. Factorisation Theorem. H.C.F. and L.C.M. Euclidean algorithm. Logarithms to base 10, laws of logarithms, use of logarithmic tables.
Algebra:-Basic operations,remainder theorem,simple factors,LCM,HCF,Theory of Polynomials,solutions of quadratic operations,relation between its roots and coefficients (only real roots to be considered.)Simultaneous linear equations in two unknowns –analytical and graphical solutions. Simultaneous linear equations in two variables and solutions.Practical problems leading to two simultaneous linear equations or in equations in two variables or quadratic equations in one variable and their solutions .Set language and set notations ,rational expressions and conditional identities,Laws of indices.
Trigonometry
Sine ×, cosine ×, Tangent × when 0° < × < 90° Values of sin ×, cos × and tan ×, for × = 0°, 30°, 45°, 60° and 90°
Simple trigonometric identities ,use of trigonometric tables ,simple cases of heights and distance
Geometry
Lines and Angles,Plane and plane figures. Theorems on i)Properties at angles on a point ii)Parallel Lines iii)sides and angles of a triangle iv)Congruency of triangles v)Similar Triangles)Concurrence of median and altitude vii)Properties of angles, sides and diagonals of a parallelogram ,rectangle and square viii)Circles and its properties including tangents and normals ix)loci
Mensuration
Areas of squares,rectangles,parallelograms,triangle and circle.Areas of figures which can be split into figures (Field Book),surface area and volume of cuboids ,lateral surface and volume of right circular cones and cylinders ,surface area and volume of spheres.
Statistics
Collection and Tabulation of statistical data,graphical representation frequency polygons,histograms,barcharts,pie charts etc. Measures of central tendency.
