# CDS Syllabus for Written Exam

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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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