Admission to MCA course in BIT, Mesra is carried out through n online entrance test. Mathematics, Computer Awareness, English, Analytical Ability and Logical Reasoning are the main topics covered under the syllabus for the entrance test. Sub topics like Algebra, Set Theory, Co-ordinate Geometry, and Differential Equations are included in Mathematics where as Operating Systems, Flow chart and Algorithms, Data Representation, Computer Architecture, etc are asked for Computer Awareness.

Syllabus for BIT, Mesra MCA Entrance Test

Mathematics

Algebra

• Surds
• Quadratic equations
• Permutations and combinations
• Logarithms
• Indices
• Geometric and harmonic progressions,
• Fundamental operations in Algebra
• Factorization
• Expansion
• Binomial theorem
• Arithmetic Progression

Set Theory

• Sets and subsets
• Relations and functions
• Properties of integers
• Operations on sets

Matrix Algebra

• Solution of simultaneous linear equations
• Rank
• Quadratic forms
• Inverse of a matrix
• Elementary transformations
• Eigenvalues and eigenvectors

Co-ordinate Geometry

• Simple geometric transformations
• Rectangular Cartesian co-ordinates
• Parabola
• Pair of straight lines
• Hyperbola
• Equations of a line
• Equations of a circle
• Ellipse
• Distance formulae

Calculus

• Taylor Series
• Tangents and normals
• Maxima and minima
• Limit of functions
• Integration of function
• Differentiation of function(s)
• Definite integral application to volumes and surfaces of sphere
• Cylinder
• Continuous functions
• Cone

Differential Equations

• Linear differential equations
• Differential equations
• Homogenous linear differential equations

Trigonometry

• Trigonometric equations
• Solution of triangles
• Simple identities
• Properties of triangles
• Inverse function
• Height and distance

Vectors

• Position vector
• Addition and subtraction of vectors
• Scalar and vector products

Probability and Statistics

• Skewness and kurtosis
• Random variable and distribution functions
• Principle of least squares
• Measures of dispersions,
• Mathematical expectations
• Frequency distributions
• Dependent and independent events
• Curve fitting
• Correlation and regression
• Binomial, Poisson, and normal distributions
• Basic concepts of probability theory
• Averages

Linear Programming

• Transportation and assignment problems
• Revised simplex method
• Formulation of simple linear programming problems
• Duality and integer programming
• Basic concepts of graphical and simplex methods

Analytical Ability and Logical Reasoning

• Logical reasoning
• Quantitative reasoning
• Visio-spatial reasoning

Computer Awareness

Operating Systems

• Types of operating systems,
• Functions of an operating system
• Evolution

Computer Basics

• Structure of instructions in CPU
• Organization of a computer
• Memory organization
• Input / output devices
• Computer memory
• Central Processing Unit (CPU)
• Back-up devices

Flow chart and Algorithms

Data Representation

• Venn diagrams
• Truth tables
• Normalized floating point representation
• Floating point representation of numbers
• Boolean algebra
• Binary Arithmetic
• Binary and hexadecimal representations
• 1’s and 2’s complement arithmetic

Computer Language

• Time-sharing operating systems
• Multiprogramming
• High-level language
• Computer Programming in C
• Assembly language

Computer Architecture

• Processor and I / O devices
• Interrupts
• Block structure of computers

English

• Use of articles and prepositions
• Synonyms
• Sentence sequence
• Reading comprehension
• Idioms and phrases
• Expansion of an idea
• Completion of a sentence
• Choice of appropriate word to fill in the blanks
• Abridging sentences / paragraphs

Total number of questions for the written test is 120. Out of this, maximum number of questions is asked from Mathematics (60). Each of the remaining sessions comprises 20 questions.