# BIT MCA Entrance Syllabus question Pattern BIT MCA Entrance Syllabus question Pattern.

BIT (Birla Institute of Technology) Mesra MCA Entrance 2019-20 BIT MCA Entrance Syllabus question Pattern 2019-20

BIT Mesra exam is multiple-choice based entrance exam, with negative marking for wrong answers. The paper comprises of 120 questionsto be answered in 2 hours. Each question shall carry 4 marks for correct answer. For every incorrect answer one mark shall be deducted. If a question has not been attempted no credit will be given.

 Subject No of Questions Mathematics 60 Analytical ability & Logical Reasoning 20 Computer Awareness 20
 English 20 Total – 120

## Mathematics

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, eigen values and eigenvectors, quadratic forms

Co-ordinate Geometry

Rectangular Cartesian co-ordinates, equations of a line, midpoint, 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

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

Section C

## Computer Awareness

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

## Section D: English: (20 questions – objective type)

• • Use of articles and prepositions (fill in the blanks or correct use)
• • Idioms and phrases
• • Synonyms