# 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
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