**UPSC CDS EXAM SYLLABUS**: UPSC 2016 CDS (Combined Defence Services) Exam is conducted by the UPSC two times in a year for admissions to Indian Military Academy (IMA), Indian Naval Academy (INA), Air Force Academy (AFA) and Officers Training Academy (OTA). UPSC CDS written exam consists of three papers. Written Exam consists of Objective Type questions and time duration 2hrs and maximum marks is 100 for each subject. Here is a detailed syllabus of UPSC CDS exam.

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## UPSC CDS EXAM SYLLABUS 2019

**UPSC CDS EXAM PAPER – 1: ENGLISH SYLLABUS**

The question paper will be designed to test the candidates’ understanding of English and workmanlike use of words.

**UPSC CDS EXAM PAPER – 2: GENERAL KNOWLEDGE SYLLABUS**

General Knowledge including knowledge of current events and of such matters of everyday observation and experience in their scientific aspects as may be expected of an educated person who has not made a special study of any scientific subject. The Paper will also include questions on History of India and Geography of a nature which Candidate should be able to answer without special study.

**UPSC CDS EXAM PAPER – 3: 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. Factorisation Theorem. H.C.F. and L.C.M. Euclidean algorithm, Logarithms to base 10, laws of logarithms, use of logarithmic tables.

**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 in equations in two variables and their solutions. Practical problems leading to two simultaneous linear equations or in equations 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.

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 normal, (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 etc. Measures of central tendency.

The CDS exam question papers of General Knowledge and Elementary Mathematics will be set bilingually in Hindi as well as English. For the candidates who are appearing for Indian Military Academy, Naval Academy, Air force Academy written test comprising of English, General Knowledge and Elementary mathematics subjects and for candidates who are appearing for officers training academy the written test comprising of English and General Knowledge.

For more details of UPSC CDS Exam Syllabus you can go through UPSC Official website. Share this article about UPSC CDS Exam Syllabus with your friends to spread the knowledge. Ask SuperProfs Experts if you have any doubts.