# BIT Ranchi MCA Entrance Exam Syllabus, Exam Pattern, Marking Scheme

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BIT Ranchi MCA Entrance Exam Syllabus is set by the Birla Institute of Technology Ranchi, exam conducting authority. This is a national level examination which offers the admission of MCA courses in affiliated colleges all over India. The Birla Institute of Technology, Mesra, Ranchi, will conduct an Online Computer Based Test for shortlisting candidates for admission to its 2-year (4-semester) full-time MCA Program, commencing in July 2020 at Mesra, Ranchi, and its Off Campuses at Jaipur, Lalpur and Noida. The candidate must be prepared according to the syllabus and must check the exam pattern of the examination which is given in the article below:

## BIT Ranchi MCA Entrance Exam Syllabus

The MCA 2020 Online Entrance Test shall comprise of 120 questions to be answered in 2 hours. The candidates can check the BIT Mesra MCA Entrance Examination complete Syllabus for Online Entrance Test 2020 and prepare accordingly for the entrance test which is given in the list below:

### Section- A: Mathematics (Objective Type- 60 Questions)

MCA Mathematics Syllabus
Topics Subtopics
Algebra
• Fundamental Operations In Algebra
• Expansion
• Factorization
• Indices
• Logarithms
• Arithmetic
• Geometric And Harmonic Progressions
• Binomial Theorem
• Permutations And Combinations
• Surds
Set Theory

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##### Ongoing Application Forms - 2020
• 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
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 Function(S)
• Tangents And Normals
• Simple Examples Of Maxima And Minima
• Integration Of Function By Parts
• By Substitution And By Partial Fraction
• Definite Integral Applications of  Volumes And Surfaces of Frustums of a Sphere
• Cone
• Cylinder
• Taylor Series
Differential Equations
• Differential Equations Of First Order And Solutions
• Linear Differential Equations With Constant Coefficients
• Homogenous Linear Differential Equations.
Vectors
• Position Vector
• Addition And Subtraction Of Vectors
• Vector and Scalar Products And 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 (Objective Type – 20 questions)

The Questions in Section B will be based on the topics which are given in the list below:

• Logical / Abstract Reasoning
• Quantitative Reasoning
• Visio-Spatial Reasoning

### Section C: Computer Awareness (Objective Type – 20 questions)

 Topics Subtopics 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  Fractions Binary and Hexadecimal Representations Binary Arithmetic: Addition, subtraction, division, multiplication, 1’s and 2’s 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 the 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 (Objective Type- 20 Questions)

The Questions in Section D will be based on the topics which are given in the list below:

• Use of prepositions and articles(fill in the blanks or correct use)
• Idioms and phrases
• Synonyms
• Expansion of an idea
• Sentence sequence (jumbled sentences)
• Completion of a sentence (with choices)
• Choice of an appropriate word to fill in the blanks (with options)
• Abridging sentences/paragraphs

## BITS Ranchi MCA Entrance Exam Pattern

The candidates who are applying for MCA courses in Birla Institute of Technology, Ranchi must check the exam pattern for the MCA entrance exam which is given in the table below:

 Examination Mode Online mode Type of Questions Objective Type, Multiple Choice Questions (MCQs) Examination Duration 2 Hours (120 Mins) Total Number of Question 120 Questions Number of Section in Question Paper 4 Sections The medium of Question Paper English Medium

### Syllabus for Online Entrance Test 2020

 Section Subject No of Questions A Mathematics 60 B Analytical ability & Logical Reasoning 20 C Computer Awareness 20 D English 20 Total 120

The MCA (Master in Computer Application) course is a 2 year (4 Semesters) course. The Campus Recruitment Program (CRP) of BIT Mesra, Ranchi has, for more than 30 years and successfully met the needs of IT Professionals of different IT companies. The Training & Placement (T&P) Division maintains a steady rapport with the partnering companies/ organisations and sometimes several organisations prefer to contact through the on-line registration modules on the official website of the Birla Institute of Technology, Ranchi.

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