CDS Exam Syllabus

UPSC - CDS Examination (I) 2024 -Syllabus

Standard and Syllabus of the Examination

Standard

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 (CodeNo.01)

The question paper will be designed to test the candidates� understanding of English and workman like use of words.

General Knowledge(CodeNo.02)

General Knowledge including knowledge of current events and of such matters of every day 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 ofa nature which candidate should be able to answer without special study.

Elementary Mathematics(CodeNo.03)

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. Test so 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 (Onlyreal roots to be considered).

Simultaneous linear equations in two unknowns-analytical and graphical solutions.Simultaneous linearequations in two variables and their solutions.

Practical problems leading to two simultaneous linear equations or in equations in two variable so rquadratic equations in one variable & their solutions.

Set language and set notation,Rational expressions and conditional identities, Laws of indices.

Trigonometry

Sinex, cosine x, Tangentx when00 x 900 Values ofsin 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,Theoremson

1. Properties of angles at apoint
2. Parallel lines,
3. Sides and angles of atriangle,
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. Circles and its properties including tangents and normals,
9. Loci.

Mensuration

Areas of squares,rectangles,parallelograms,triangle and circle. Areas offigures 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, piecharts etc. Measures of centraltendency.

Intelligence and personality test

In addition to the interview the candidates will be put to Intelligence Tests both verbal and non-verbal,designed to assess their basic intelligence.

They will also be put to Group Tests such as group discussions, group planning, out door group Tasks,and asked to give brief lectures on specified subjects.

All these tests are intended to judge the mental calibre of a candidate. Inbroad terms, this is really an assessment of not only his intellectual qualities but also his socialtraits and interests incurrent affairs.