NIMCET

NIT MCA Common Entrance Test

Distribution of Questions

The question paper will contain 120  multiple  choice questions covering the following topics :

Mathematics                                                      50 questions

Analytical Ability and Logical Reasoning  40 questions

Computer Awareness                                     20 questions

General English                                                  10 questions

Detailed Syllabus

MATHEMATICS : (50 questions)

Set Theory : Concepts of Sets- Unions, Intersection, Difference, Symmetric difference, Cartesian Product, Cardinality, Functions and Relations, Venn Diagrams, Truth tables, Connectives, Tautology and Contradictions.

Probability and Statistics : Basic concepts of probability theory, Averages, Dependent and independent events, Frequency distributions, Measures of central tendencies and Dispersions.

Algebra : Fundamental operations in Algebra, Expansions, Factorization, Simultaneous linear/quadratic equations, Indices, Logarithms, Arithmetic, Geometric and Harmonic progressions, Determinants and Matrices.

Coordinate Geometry : Rectangular Cartesian coordinates, Distance formulae, Equations of a line, Intersection of lines, Pairs of straight lines, Equations of a circle, Parabola, Ellipse and Hyperbola.

Calculus : Limit of functions, Continuous functions, Differentiation of functions, tangents and normals, Simple examples of maxima and minima, Integration of function by parts, by substitution and by partial fraction, Definite integrals, Applications of  Definite Integrals to areas.

Vectors : Position vector, Addition 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 Distances, General solutions of  trigonometric equations.

ANALYTICAL  ABILITY  AND LOGICAL REASONING : (40 questions)

The questions in this section will cover logical reasoning and quantitative aptitude. Some of the questions will be on comprehension of a logical situation and questions based on the facts given in the passage.

COMPUTER AWARENESS : (20 questions)

Computer Basics : Organization of a computer, Central Processing Unit (CPU), structure of instructions in CPU, input/output devices, computer memory, and back-up devices.

Data Representation : Representation of characters, integers, and fractions, binary and hexadecimal representations, binary arithmetic: addition, subtraction, multiplication, division, simple arithmetic, and two’s complement arithmetic, floating point representation of numbers, Boolean algebra.

Computer Hardware : Input Devices: Keyboard, mouse, scanner, etc. Output Devices: Monitor, printer, speakers, etc. Storage Devices: Hard drives, SSDs, USB drives, etc. Memory: RAM, ROM, cache, etc.

Computer Software : Operating Systems: Windows, macOS, Linux, Android, etc. System Software: Utility programs, device drivers. Application Software: Basic concepts & tools.

Internet and Email : Web Browsing – Understanding how the internet works and how to navigate it. Email – Sending, receiving, and managing emails. Online Security -Basic awareness of online threats and safety measures.

GENERAL ENGLISH : (10  questions)

Comprehension of written text, usage of words (vocabulary), Grasp of Grammatical Patterns (usage of sentence forms, sounds, and word formation processes), meaning of words and phrases, technical writing, and overall accuracy and fluency in expressions of English required for technical education.