Mathematics |
- Set Theory
- Concept 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 and the intersection of lines
- Pair of straight lines
- Equations of a circle, parabola, ellipse, and hyperbola
- Calculus
- Limit of functions
- Continuous function
- Tangents and Normals
- Simple examples of maxima and minima
- Integration of functions 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
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Analytical Ability & Logical Reasoning |
The questions in this section will cover logical situation and questions based on the facts given in the passage. |
Computer Awareness |
- 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
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General English |
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, the meaning of words and phrases, technical writing
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*As per 2021 exam notification. |