Mathematics (60 questions – objective type) 10 + 2 level
Algebra: Fundamental -operations in Algebra, expansion, factorization, quadratic equations, indices; logarithms, arithmetic, geometric and harmonic progressions, binomial theorem, permutations and combinations, surds
Set Theory: Sets and subsets, operations onsets, sequences, properties of integers, relations and functions
Matrix Algebra: Elementary transformations, inverse of a matrix, rank, solution of simultaneous linear equations, eigen values and eigenvectors, quadratic forms
Co-ordinate Geometry: Rectangular Cartesian co-ordinates, equations of a line, mid-point, intersections etc., equations of a circle, distance formulae, pair of straight lines, parabola, ellipse and hyperbola, simple geometric transformations such as translation, rotation, scaling.
Calculus: Limit of functions, continuous functions, differentiation of functions, tangents and normal, simple examples of maxima and minima, integration of function by parts, by substitution and by partial fraction, definite integral application to volumes and surfaces of frustums of a sphere, cone, cylinder, Taylor Series.
Differential Equations: Differential equations of first order and their solutions, linear differential equations with constant coefficients, homogenous linear differential equations.
Vectors: Position vector, additions and subtraction of vectors, scalar and vector products and their applications to simple geometrical problems and mechanics.
Trigonometry: Simple identities, trigonometric equations, properties of triangles, solution of triangles, height and distance, inverse function
Probability and Statistics: Basic concepts of probability theory, averages, dependent and independent events, frequency distributions, and measures of dispersions, skewness and kurtosis, random variable and distribution functions, mathematical expectations, binomial, Poisson, normal distributions, curve fitting, and principle of least squares, correlation and regression
Linear Programming: Formulation of simple linear programming problems, basic concepts of graphical and simplex methods, revised simplex method, transportation and assignment problems, duality and integer programming.
Computer Awareness: (40 questions – objective type)
Computer Basics: Organization of a computer, Central Processing Unit (CPU), Structure of instructions in CPU, input / output devices, computer memory, memory organization, back-up devices
Data Representation: Representation of characters, integers, and fractions, binary and hexadecimal representations, Binary Arithmetic: Addition, subtraction, division, multiplication, single arithmetic and two complement arithmetic, floating point representation of numbers, normalized floating point representation, Boolean algebra, truth tables, Venn diagrams.
Computer Architecture: Block structure of computers, communication between processor and I / O devices, interrupts
Computer Language: Assembly language and high-level language, Computer Programming in C.
Flow chart and Algorithms
Operating Systems: Evolution of operating systems, types of operating systems, functions of an operating system, Multiprogramming and time-sharing operating systems modern operating systems.
Analytical Ability and Logical Reasoning: (30 questions – objective type)
Questions in this section will test logical reasoning, quantitative reasoning, and visio-spatial reasoning
General Awareness: (20 questions – objective type)
Questions in this section will test general awareness about business, finance, industry, transportation, scientific inventions, governance, healthcare and cultural dimensions etc.
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