Topics

Detail

Algebra

Fundamental operations in Algebra, Expansion, factorization, Quadratic equations, indices, logarithms, arithmetic, geometric and harmonic progressions, binomial theorem, permutations and combinations.

Co-ordinate Geometry

Rectangular cartesian co-ordinates, equations of a line, mid-point, intersections etc., equations of a circle, distance formulae, pair of straight lines, parabola, ellipse and hyperbola, simple geometric transformations such as translation, rotation, scaling.

Probability & 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.

Co-ordinate Geometry

Rectangular Cartesian co-ordinates, equations of a line, mid point, intersections etc., equations of a circle, distance formulae, pair of straight lines, parabola, ellipse and hyperbola, simple geometric transformations such as translation, rotation, scaling.

Differential Equations

Differential equations of first order and their solutions, linear differential equations with constant coefficients, homogeneous linear differential equations.

Trigonometry

Simple identities, trigonometric equations, properties of triangles, solution of triangles, height and distance, inverse function.

Arithmetic

Ratios and proportions, problems on time-work, distance-speed, percentage, etc.

Basic Set Theory and Functions

Set, relations and mappings

Mensuration

Areas, triangles and quadrilaterals, area and circumference of circles, volumes and surface areas of simple solids such as cubes, spheres, cylinders and cones.

Important Topics

Seating Arrangements

Circular Arrangements

Blood Arrangements

Sets based on Grouping and Pattern

Mapping and Best Routes

Selection and Conditionals

Important Topics

Para jumbles

Error Spotting

Para completion

Summary writing

Synonyms and Antonyms

Ordering of Sentences

Para jumbles

Error Spotting

Important Topics

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, and fractions, binary and hexadecimal representations, Binary Arithmetic: Addition, subtraction, division, multiplication, signed arithmetic and two’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 processor and I / O devices, interrupts.

Computer Language

Assembly language and high-level language, Computer Programming in C. Operating System basics.