Combined Defence Services (CDS) Examination: Syllabus
English
The question paper will be designed to test the candidates' understanding
of English and workman-like use of words.
General Knowledge
General Knowledge, including knowledge of current events and 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 of History
of India and Geography of a nature which candidates should be able to
answer without special study.
Elementary Mathematics
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, Factorization Theorem,
H.C.F. and L.C.M.,
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
and 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.
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Theorems on:
1. Properties of angles at a point
2. Parallel lines
3. Sides and angles of a triangle
4. Congruency of triangles
5. Similar triangles
6. Concurrence of medians and altitudes
7. Properties of angles, sides and diagonals of a parallelogram, rectangle
and square
8. Circle and its properties, including tangents and normals
9. Loci.
Mensuration
Areas of squares, rectangles, parallelograms, triangle and circle. Areas
of figures, which can be split up into the 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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