CDS Exam 2020 Syllabus

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CDS Exam Syllabus

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CDS-1 - Exam Syllabus

Union Public Service Commission (UPSC) has prescribed CDS Exam  syllabus for Indian Military Academy (IMA), Air Force Academy (AFA), Indian Naval Academy (INA) and Officers' Training Academy (OTA). The syllabus of CDS Exam is broadly divided into three subjects – English, General Knowledge and Elementary Mathematics.

  • The standard of the questions in Elementary Mathematics will be of matriculation level.
  • The level of questions in other subjects will be of graduation level.

Candidates before beginning with their preparation must check the CDS syllabus as it will help them to know the topics which they need to cover for the exam.


CDS Syllabus 2021 for English Language

The questions in this section are designed to test the candidate’s understanding of English. Questions in this section are basically asked from the following topics –


Sentence improvement



Word substitution

Ordering of sentences

Spotting Errors

Selecting Words

Ordering of words in a sentence


CDS Syllabus 2021 for General Knowledge

The General Knowledge section tests a candidate’s knowledge regarding the current events. The paper include questions on History of India and Geography of a nature. Topics that candidates should prepare in General Knowledge section are given below.



Current Awareness 





Defence related








Statement true/false




CDS Syllabus 2021 for Elementary Mathematics

Questions in Elementary Mathematics are asked from Arithmetic, Algebra, Trigonometry, Geometry, Mensuration and Statistics. Check below the topics 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


Theory of Polynomials

Solutions of quadratic equations

Relation between its roots and Co-efficients (Only real roots will 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

Law of Indices


  • Sine ×, cosine ×, Tangent × when 0°
  • Simple trigonometric identities
  • Use of trigonometric tables
  • Simple cases of heights and distances


Lines and angles, Plane and plane figures

Theorems on - Properties of angles at a point, Parallel lines, Sides and angles of a triangle, Congruency of triangles, Similar triangles, Concurrence of medians and altitudes, Properties of angles, sides and diagonals of a parallelogram, rectangle and square, Circles and its properties including tangents and normal and 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
  • Volume of Right Circular Cones, cylinders and Surface
  • Area and volume of spheres


Collection and Tabulation of Statistical Data

Graphical Representation Frequency Polygons


Bar charts

Measures of Central Tendency


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