### Mathematics

1. Integration of functions by parts, by substitution and by partial fraction
2. **Concept of sets –** Union, Intersection, Cardinality, Elementary counting
3. Vectors
4. Set Theory
5. Scalar and vector products and their applications to simple geometrical problems and mechanics
6. **Binary arithmetic:** addition, subtraction, multiplication, division
7. Position Vector
8. Coordinate Geometry
9. Addition and subtraction of vectors
10. Equations of a circle
11. Algebra
12. Ellipse
13. Fundamental operations in algebra
14. Equation of a line
15. Geometric and harmonic progressions
16. Rectangular Cartesian coordinates
17. Expansions
18. Parabola
19. Logarithms
20. Hyperbola
21. Simultaneous linear /quadratic equations
22. Distance formulae
23. Determinants and matrices
24. Intersection of lines
25. Factorization
26. Pair of straight lines
27. Indices
28. Probability and Statistics
29. Arithmetic
30. Basic concepts of probability theory
31. Binary and hexadecimal representations
32. Averages
33. Simple arithmetic and two’s complement arithmetic
34. Frequency distributions
35. Representation of characters
36. Dispersions
37. Truth tables
38. Dependent and independent events
39. Integers and fractions
40. Measures of central tendencies
41. Boolean algebra
42. Data Representation
43. Permutations and combinations
44. Venn diagrams

### Computer Awareness

Floating-point representation of numbers

Computer Basics

Central Processing Unit (CPU)

Input/output devices

Organization of a computer

Back-up devices

Structure of instructions in CPU

Computer memory

### Quantitative Aptitude

**Arithmetic:** Simplification, square roots & cube roots, Surds & Indices, LCM & HCF, Number System,
Ratio & Proportion, Partnership, Time & Work, Pipe & Cistern, Simple Interest, Compound Interest,
Percentage, Profit & Loss, Time & Distance, Train, Boat & Stream, Alligation, Age, Average.

**Mensuration:** Area & Perimeter, Volume, Surface Area, Total Surface Area.

**Data Interpretation:** Table, Pie-chart, Bar-Graph, Line Graph, Mixed.

### Reasoning

**Logical Reasoning:-** Puzzle test (Tabular form, Team Selection, Blood Relation, Sitting Arrangement,
Comparison Type, …) Direction, Mathematical Operation, Input & Output, Alphabet (Series, Coding &
decoding, …), Ranking, Clock & Calender, Analogy, Classification.

**Analytical Reasoning :-**Syllogism, Statement – Assumption, Arguments, Course of Action,
Conclusion, Cause & effect

### English

**Vocabulary :-** Root Words, Synonyms and Antonyms, Words often confused & misused, one word
substitution, Idioms & Phrasal Verbs.

**Comprehension :-** Reading Comprehension (Topic Wise, Mixed), Filler, Sentence Arrangement,
Close test.

**Grammer :-** Subject verb agreement, Noun, Pronoun, Verb, Adjective, Adverb, Preposition,
Conjunction, Interjection ,....