UPSC CDS Syllabus-CDS SYLLABUS DOWNLOAD

The Union Public Service Commission (UPSC) conducts the Combined Defence Services (CDS) Examination to recruit candidates for various academies:

1. Indian Military Academy (IMA)
2. Indian Naval Academy (INA)
3. Air Force Academy (AFA)
4. Officers’ Training Academy (OTA)

The examination syllabus consists of three papers:

PAPER 1: ENGLISH

Designed to assess the candidate’s understanding of English and the ability to use words effectively.

PAPER 2: GENERAL KNOWLEDGE

• Current Events
• General Observations
• Everyday experiences viewed from a scientific perspective.
• History of IndiaGeography

Candidates should answer based on general knowledge, without needing specialized study in any scientific field.

PAPER 3: ELEMENTARY MATHEMATICS

ARITHMETIC

Number System:

• Natural numbers, integers, rational and real numbers.
• Fundamental operations: Addition, subtraction, multiplication, division.
• Square roots, decimal fractions.
• Topics:
• Unitary method, time and distance, time and work.
• Percentages, profit and loss, simple and compound interest.
• Ratio and proportion, variation

Elementary Number Theory:

• Division algorithm, prime and composite numbers.
• Tests of divisibility (by 2, 3, 4, 5, 9, 11).
• Multiples and factors, factorization theorem, HCF, LCM.
• Euclidean algorithm.
• Logarithms: Laws, base-10, logarithmic tables.

ALGEBRA

• Basic operations, simple factors, Remainder theorem.
• HCF, LCM, polynomial theory.
• Quadratic equations: Solutions, relations between roots and coefficients (real roots only).
• Simultaneous linear equations: Analytical and graphical solutions
• .Linear in equations (two variables) and practical problem-solving.
• Set language, set notation, rational expressions, conditional identities, laws of indices.

TRIGONOMETRY

• Sine (x), Cosine (x), Tangent (x) for angles 0° < x < 90°.
• Trigonometric values for 0°, 30°, 45°, 60°, 90°.
• Basic identities, trigonometric tables.
• Simple height and distance problems.

GEOMETRY

• Lines and angles, plane figures.Theorems:
• Properties of angles at a point.
• Parallel lines.
• Triangles (sides, angles, congruency, similarity).
• Medians, altitudes (concurrence).
• Parallelogram, rectangle, square properties.
• Circle properties, tangents, normals, loci.

MENSURATION

• Areas: Squares, rectangles, triangles, circles, parallelograms.
• Compound figures (field book)
• Surface areas and volumes:
• Cuboids.
• Right circular cones and cylinders.
• Spheres.

STATISTICS

• Data collection, tabulation, graphical representation.
• Frequency polygons, histograms, bar charts, pie charts.
• Measures of central tendency.