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Combined Defence Services (CDS)

The Combined Defence Services Exam is conducted by UPSC to recruit candidates for the Indian Army, Navy, and Air Force through the CDS Exam.

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UPSC will not make any changes to CDS 2025 syllabus, and the same will be updated in the form of an information brochure on the website, upsc.gov.in. The syllabus will be based on the Matriculation level, especially in Elementary Mathematics. The syllabus will be separate for IMA/ INA and that of OTA. The topics of English Language and General Knowledge are important and included in both the papers. Only Elementary Mathematics will be included in the question paper for IMA and INA admission. Candidates can read the article to understand the subject-wise topics included in the CDS syllabus.

CDS 2025 English Language Syllabus

The English language is included in both the IMA/ INA as well as the OTA paper. The syllabus and topics included in the English Language are as follows:

  • Sentence Improvement
  • Synonyms and Antonyms
  • Sentence Construction
  • Word Substitutions
  • Correct Word Selection
  • Ordering of Jumbled Words
  • Reading Comprehension
  • Spotting Errors

CDS 2025 General Knowledge Syllabus

The syllabus of General Knowledge will be included in both the IMA/ INA as well as the OTA paper. All the topics to be covered in the General Knowledge are:

  1. Physics
  2. Chemistry
  3. Biology
  4. Economics
  5. Sociology
  6. Awards
  7. Environment
  8. Sport
  9. Book
  10. Defence
  11. Current Awareness
  12. History
  13. Politics
  14. Geography
  15. Cultural
  16. True/ False Statement

CDS 2025 Elementary Mathematics Syllabus

This section is only included in the IMA and INA papers. Students preparing for the OTA paper, need not prepare for this part. Students need to cover the topics from Arithmetic, Algebra, Trigonometry, Geometry, Mensuration, and Statistics of the Matriculation level.

Subjects Topics to be Covered
Arithmetic Number System—Natural numbers, Integers, Rational, and Real numbers. Fundamental operations, addition, substraction, multiplication, pision, 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 pisibility 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 (Only real roots to be considered). Simultaneous linear equations in two unknowns—analytical and graphical solutions. Simultaneous linear inequations in two variables and their solutions. Practical problems leading to two simultaneous linear
equations or inequations in two variables or quadratic equations in one variable & their
solutions. Set language and set notation, Rational expressions and conditional
identities, and Laws of Indices.
Trigonometry Sine ×, cosine ×, Tangent × when 0° < × < 90° Values of sin ×, cos × and tan ×, for × = 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, Theorems on (i) Properties of angles at a point, (ii) Parallel lines, (iii) Sides and angles of a triangle, (iv) Congruency of triangles, (v) Similar triangles, (vi) Concurrence of medians and altitudes, (vii) Properties of angles, sides, and diagonals of a parallelogram, rectangle, and square, (viii) Circles and its properties including tangents and normals, (ix) Loci.
Mensuration Areas of squares, rectangles, parallelograms, triangle and circle. Areas of figures 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, pie charts etc. Measures of central tendency

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