English: The question paper will be designed to test the candidates’ understanding of English and workmanlike use of words.
- Verb
- Tenses
- Articles
- Synonyms
- Adverb
- Subject-Verb Agreement
- Antonyms
- Error Correction
- Vocabulary
- Sentence Rearrangement
- Fill in the Blanks
- Grammar
- Idioms & Phrases
- Comprehension
- Unseen Passages etc.
General Knowledge:
- Current Affairs – National & International
- Important Financial & Economic News
- Budget and Five Year Plans
- Abbreviations
- Awards and Honors
- Sports
- Important Days
- Science – Inventions & Discoveries
- International & National Organizations
- Books and Authors
- Countries & Capitals etc
Elementary Mathematics: The below list is about the types of Elementary Mathematics
1. Arithmatic
2. Algebra
3. Trignometry
4. Geometry
5. Mensuration
Arithmatic Related Topics:
Number System
- Natural numbers
- Integers
- Rational and Real numbers
- Fundamental operations
- Addition
- Subtraction
- Multiplication
- Division
- Square roots
- Decimal fractions
- Unitary method
- Time and distance
- Time and work
- Percentages
- Applications to simple and compound interest
- Profit and loss
- Ratio and proportion variation
- Elementary Number Theory—Division algorithm
- Prime and composite numbers
- Tests of divisibility by 2, 3, 4, 5, 9 and 11/li>
- Multiples and factors
- Factorization
- Theorem. H.C.F. and L.C.M.
- Euclidean algorithm
- Logarithms to base 10
- laws of logarithms
- Use of logarithmic tables.
Algebra Related Topics:
- Basic Operations
- Simple factors
- Remainder Theorem
- H.C.F., L.C.M.
- Theory of polynomials solutions of quadratic equations
- Relation between its roots and coefficients (Only real roots to be considered).
- Simultaneous linear equations in two unknowns—analytical and graphical solutions.
- Simultaneous linear inequations in two variables and their solutions.
- Practical problems leading to two simultaneous linear equations or inequations in two variables or quadratic equations in one variable & their solutions.
- Set language and set notation
- Rational expressions conditional identities
- Laws of indices.
Trignometry Related Topics:
- Sine ×, cosine ×, Tangent × when 0° < × < 90° Values of sin ×, cos × and tan ×, for × = 0°, 30°, 45°, 60° and 90°
- Simple trigonometric identities.
- Use of trigonometric tables.
- Simple cases of heights and distances.
Geometry Related Topics: Lines and angles, Plane and plane figures, Theorems on
(i) Properties of angles at a point,
(ii) Parallel lines,
(iii) Sides and angles of a triangle,
(iv) Congruency of triangles,
(v) Similar triangles,
(vi) Concurrence of medians and altitudes
(vii) Properties of angles, sides and diagonals of a parallelogram, rectangle and square,
(viii) Circles and its properties including tangents and normals,
(ix) Loci.
Mensuration Related Topics:
- Areas of squares
- Rectangles
- Parallelograms
- Triangle and circle
- Areas of figures which can be split up into these figures (Field Book)
- Surface area and volume of cuboids
- Lateral surface and volume of right circular cones and cylinders
- Surface area and volume of spheres
Statistics:
- Collection and tabulation of statistical data
- Graphical representation frequency polygons
- Histograms
- Bar charts
- Pie charts
- Measures of central tendency