CDS Syllabus for Written Exam
This exam is conducted as −
- English
- General Knowledge
- Elementary Mathematics
The following table illustrates the detailed syllabus −
| English Syllabus | |
|---|---|
| English | Grammar and usage |
| Vocabulary | |
| Comprehension and cohesion in extended text | |
| General Knowledge Syllabus | |
| Current Events | Current National events |
| Current World events | |
| Prominent personalities—both Indian and International | |
| Current cultural activities | |
| Sports | |
| Geography | Basic of Indian Geography |
| History | Basics of Indian History |
| Science & Technology | Current development |
| Indian Polity | Basics of Constitution of India |
| Economy | Basics of Indian Economy |
| General Science | Basics of Biology, Physics, & Chemistry |
| Elementary Mathematics Syllabus | |
| Arithmetic | 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 | |
| Multiples and factors | |
| Factorization Theorem | |
| H.C.F. and L.C.M | |
| Euclidean algorithm | |
| Logarithms to base 10, laws of logarithms, use of logarithmic table | |
| Algebra | 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 and conditional identities | |
| Laws of indices | |
| Trigonometry | Sine x, cosine x, Tangent x when 0° < x < 90° Values of sin x, cos x and tan x, for x = 0°, 30°, 45°, 60° and 90° |
| Simple trigonometric identities | |
| Use of trigonometric tables | |
| Multiple and Sub-multiple angles | |
| Simple cases of heights and distances | |
| Geometry | 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 | 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 | |
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