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 – Union – Intersection – Cardinality – Elementary counting, Permutations and Combinations.
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, 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, Truth tables, Venn diagrams.
GENERAL ENGLISH : (10 Questions)
Questions in this section will be designed to test the candidates’ general understanding of the English language. There will be questions on the following topics. Comprehension, Vocabulary, Basic English Grammar (like usage of correct forms of verbs, prepositions and articles), Word power, Synonyms and Antonyms, Meanings of words and phrases, Technical writing.
