DETAILED SYLLABUS FOR NIMCET

DISTRIBUTION OF QUESTIONS:
The question paper will contain 120 multiple choice questions covering the following topics:
1. Mathematics 40 questions
2. Analytical Ability & Logical Reasoning 50 questions
3. Computer Awareness 15 questions
4. General English 15 questions

DETAILED 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 : (50 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.


SYLLABUS CONTINUATION
COMPUTER AWARENESS : (15 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.