Syllabus for the Online Entrance Test for BITS MCA 2009

Syllabus for the Online Entrance Test for BITS MCA 2009



The MCA 2009 Online Entrance Test shall comprise of 120 questions to be
answered in 2 hours. Questions will be of objective type with multiple choices out of
which only one is correct. A candidate must select only the correct answer to score
full marks. For each correct answer a candidate will earn 4 marks. For every
incorrect answer one mark will be deducted. If a question has not been attempted
no credit will be given. The questions will be distributed into various areas as
follows and the detailed syllabus is given below:



Section            Subject                                                          No of Questions
A                    Mathematics                                                  70
B                   Analytical ability & Logical Reasoning         30
C                   Computer Awareness                                      20
                      Total                                                                120

Section A: Mathematics (70 questions – objective type)



• 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 on sets, sequences, properties of
integers, relations and functions
• Matrix Algebra: Elementary transformations, inverse of a matrix, rank,
solution of simultaneous linear equations, eigenvalues 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(s), 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



Section B: Analytical Ability and Logical Reasoning: (30 questions –
objective type)



Questions in this section will test logical reasoning, quantitative
reasoning, and visio-spatial reasoning


Section C: Computer Awareness: (20 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,
Multiprogramming and time-sharing operating systems, Computer
Programming in C.
• Flow chart and Algorithms
• Operating Systems: Evolution of operating systems, types of operating
systems, functions of an operating system, modern operating systems