CDS Exam Syllabus

Combined Defence Services Exam for recruitment into the Indian Military Academy, Officers Training Academy, Indian Naval Academy and Indian Air Force Academy requires cadets with hard-headed and expedient caliber. An intense and pragmatic CDS syllabus designed at each step for the most suitable and fitted selection procedure in CDS Written Exam. CDS syllabus broadly divided into three subjects: English, General Knowledge and Elementary Mathematics. The standard of the syllabus for Elementary Mathematics will be of matriculation level and for other subjects will be of graduation level.

For Admission to Indian Military Academy, Indian Naval Academy and Air Force Academy:—

General Knowledge
Elementary Mathematics

For Admission to Officers’ Training Academy :—

General Knowledge

CDS Syllabus for English Language

The questions in this section designed to test the candidate’s understanding of English and work man like use of words. Questions in the sections basically asked from the following topics:

Antonyms Sentence improvement Comprehension
Synonyms Word substitution Ordering of sentences
Spotting Errors Selecting Words Ordering of words in a sentence

CDS Syllabus for General Knowledge

The General Knowledge section tests a candidate’s knowledge regarding the current events. Topics included in the General Knowledge section given below.

Economics Physics Current Awareness
Politics Chemistry Sociology
History Defense Award
Geography Environment Sport
Biology Cultural Book
Statement true/false  —


Note: Candidates need to read the newspapers regularly in order to keep themselves updated with the recent events.

CDS Syllabus for Elementary Mathematics


Number System—Natural numbers, Integers, Rational and Real numbers. Fundamental operations, addition, substraction, 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. Factorisation Theorem. H.C.F. and L.C.M. Euclidean algorithm. Logarithms to base 10, laws of logarithms, use of logarithmic tables.


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.


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.


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.


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.


Collection and tabulation of statistical data, Graphical representation frequency polygons, histograms, bar charts, pie charts etc. Measures of central tendency.