The Union Public Service Commission (UPSC) is conducting a competitive examination termed as 'Combined Defence Services (CDS) Exam II for short-listing candidates at various posts in the departments including Indian Military Academy, Indian Naval Academy, Air Force Academy and Officers Training Academy. Candidates can apply by August 18.
The standard of the papers in Elementary Mathematics will be of Matriculation level. The standard of papers in other subjects will approximately be such as may be expected of a graduate of an Indian university.
Syllabus
English
The question paper will be designed to test the candidates' understanding of English and workmanlike use of words.
General Knowledge
It includes current events and matters of everyday obeservations and exeperiences in their scientific aspects. The paper will also include questions on History of India and Geography.
The question paper will be designed to test the candidates' understanding of English and workmanlike use of words.
General Knowledge
It includes current events and matters of everyday obeservations and exeperiences in their scientific aspects. The paper will also include questions on History of India and Geography.
Elementary Mathematics
Arithemetic
Number System - Natural numbers, Integers, Rational and Real numbers. Fundamental operations addition, substraction, multiplication, divison, 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: Divison 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, Euclideen algorithm, Logarithms to base 10, laws of logarithm, use of logarithm tables.
Arithemetic
Number System - Natural numbers, Integers, Rational and Real numbers. Fundamental operations addition, substraction, multiplication, divison, 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: Divison 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, Euclideen algorithm, Logarithms to base 10, laws of logarithm, use of logarithm tables.
Algebra
Basic Operations, simple factors, remainder theorem, H.C.F, L.C.M. Theory of polynomicals, solutions of quadratic equations, relation between its roots and coefficients (Only real roots to be considered). Simultaneous linear inequations, linear equations or inequations in two variables or quadratic equations in one variablbe and their solutions. Set language and set nootation, Rational expressions and conditional indentities, Laws of indices.
Basic Operations, simple factors, remainder theorem, H.C.F, L.C.M. Theory of polynomicals, solutions of quadratic equations, relation between its roots and coefficients (Only real roots to be considered). Simultaneous linear inequations, linear equations or inequations in two variables or quadratic equations in one variablbe and their solutions. Set language and set nootation, Rational expressions and conditional indentities, Laws of indices.
Trigonometryvalues of Sine x, cosine x and tangent x, simple trigonometric identities, use of trigonometric tables, simple cases of hieghts and distances
Geometry
Lines and angles, planes and plane figure, theorems on (i) Properties of angles t a point (II) Parallel lines, (iii) sides and angles of a triangle, (iv) Congruency of triangles, (v) similar trianagles, (vi) Concurrence of medians and altitudes (vii) Properties of angles, sides and diagonals of a parallelogram, rectangles and square (viii) Circles and its properties including tangents and normals (ix)Loci.
Lines and angles, planes and plane figure, theorems on (i) Properties of angles t a point (II) Parallel lines, (iii) sides and angles of a triangle, (iv) Congruency of triangles, (v) similar trianagles, (vi) Concurrence of medians and altitudes (vii) Properties of angles, sides and diagonals of a parallelogram, rectangles and square (viii) Circles and its properties including tangents and normals (ix)Loci.
Mensuration
Areas of squares, rectangles, parallelograms, triangle and circle. Areas of figure 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 cylinder, surface area and volume of spheres.
Areas of squares, rectangles, parallelograms, triangle and circle. Areas of figure 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 cylinder, surface area and volume of spheres.
Statistics
Collection and tabulation of staticticsl date, graphical representation, frequency polygons, histograms, bar charts, pie charts etc. measures of central tendency.
Collection and tabulation of staticticsl date, graphical representation, frequency polygons, histograms, bar charts, pie charts etc. measures of central tendency.
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