Union Public Service Commission (UPSC) is set to conduct the Combined Defence Services (CDS) Examination for recruitment across various esteemed institutions, including the Indian Military Academy, Indian Naval Academy, Air Force Academy, and Officers Training Academy. The comprehensive CDS syllabus details are outlined below:
Paper 1: English
The question paper is crafted to evaluate candidates’ understanding of English and their adept use of language.
Paper 2: General Knowledge
This section encompasses:
- General Knowledge, including current events and matters of everyday observation and experience with a focus on scientific aspects.
- Questions on the history of India and geography that candidates should be able to answer without specific study.
Paper 3: 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, multiples and factors, factorization theorem, H.C.F., 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 roots and coefficients.
- Simultaneous linear equations in two unknowns, analytical and graphical solutions.
- Simultaneous linear inequalities in two variables and their solutions.
- Set language and set notation, rational expressions, conditional identities, laws of indices.
Trigonometry:
- Sine, cosine, tangent for specific angles.
- Simple trigonometric identities.
- Use of trigonometric tables.
- Simple cases of heights and distances.
Geometry:
- Lines and angles, plane and plane figures.
- Theorems on properties of angles at a point, parallel lines, sides and angles of a triangle, congruency and similarity of triangles.
- Concurrence of medians and altitudes, properties of angles, sides, and diagonals of a parallelogram, rectangle, and square.
- Circles and its properties, including tangents and normals, loci.
Mensuration:
- Areas of squares, rectangles, parallelograms, triangles, and circles.
- Surface area and volume of cuboids, cones, cylinders, and spheres.
Statistics:
- Collection and tabulation of statistical data.
- Graphical representation: Frequency polygons, histograms, bar charts, pie charts.
- Measures of central tendency.
This detailed syllabus is designed to comprehensively assess candidates’ knowledge and skills in various disciplines, preparing them for a successful career in the defense services.