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Combined Defence Services (CDS) Exam - Syllabus
| Following is the syllabus for UPSC Combined Defence Service (CDS) Examination:
ENGLISH (CODE No. 01)
The question paper is designed to test the candidates’ understanding of English and uses of words.
GENERAL KNOWLEDGE (Code No. 02)
General Knowledge includes knowledge of Current Events, History of India and Geography of nature.
ELEMENTARY MATHEMATICS (Code No. 03)
ARITHMETIC: Number System-Natural numbers, Integers, Rational and Real numbers. Fundamental operations-addition, subtraction, multiplication, division, square roots, decimal fractions etc.
Unitary method-time and distance, time and work, percentages, applications to simple and compound interest, profit and loss, ratio and proportion, variation etc.
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 equations 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. 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 etc. Measures of central tendency.
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