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Old June 20th, 2012, 02:25 PM
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Join Date: Dec 2011
Default Re: CDS Preparation Material

For your help here I am giving you the syllabus for Mathematics. Also giving you the information regarding to the exam pattern so that you can do your preparation

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 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 00 < x < 900, Values of sin x, cos x and tan x, for x = 00, 300, 450, 600 and 900 , 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


Exam pattern:

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

English -100marks, 2hours
General knowledge -100marks, 2hours
Elementary mathematics -100marks, 2hours

For Admission to Officers’ Training Academy

English -100marks, 2hours
General knowledge -100marks, 2hours
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