SYLLABUS for NIT MCA Common Entrance Test 2009 (NIMCET09)

SYLLABUS for NIT MCA Common Entrance 
Test 2009 (NIMCET09)


SYLLABUS:



MATHEMATICS : (40 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, equation of a line,
intersection of lines, pair of straight lines, equations of a circle, parabola, ellipse, and hyperbola.
Calculus: Limit of functions, Continuous function, Differentiation of function, 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, heights and distances, General solutions of trigonometric equations.


ANALYTICAL ABILITY AND LOGICAL REASONING : (55 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: (10 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: (15 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.