UPSC CDS I Exam 2025 Syllabus
In addition one of the most highly competitive examinations in India, the combined defense services examination requires applicants to put in their best effort in order succeed in each step of the CDS selection process.
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Subjects
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Topics |
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English
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- Spotting Errors Questions
- Sentence Arrangement Questions
- Synonyms & Antonyms
- Selecting Words
- Ordering of Sentence
- The questions for the comprehension of reading
- The word location within a phrase
- Fill in the blanks questions
- Idioms and Phrases
- Sentence Improvements or Sentence Corrections
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General Knowledge
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- Economics
- Physics
- Current Affairs
- Politics
- Chemistry
- Sociology
- History
- Defence related Award
- Geography
- Environment
- Sport
- Biology
- Cultural
- Book
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Mathematics
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| 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)
- The analytical and graphical solutions for simultaneous linear equations in two questions
- Two-variable simultaneous linear equations and solutions for them
- Practical problems leading to two simultaneous linear equations or inequations in two variables or quadratic equations in one variable & their solutionsSet language and set notation
- Rational expressions and conditional identities
- Laws of indices
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Arithmetic
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- Number System: Natural numbers, Integers, Rational and Real numbers.
- Fundamental operations: addition, substraction, 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
- The term Divisibility examinations by 2, 3, 4, 5, 9, and 11 of them.
- Multiples and factors.
- Factorisation Theorem
- L.C.M. and H.C.F.
- Euclidean algorithm
- Logarithms to base 10
- laws of logarithm
- use of logarithmic tables
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| Trigonometry |
- Sine , cosine , Tangent × when 0° < × < 90°
- The cos, tan, and sin values for x = 0°, 30°, 45°, 60°, and 90 degrees
- Simple trigonometric identities
- Use of trigonometric tables
- Simple cases of heights and distances
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Geometry
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- Lines and angles
- Plane and plane figures
- Theorems on Properties of angles at a point
- Parallel lines
- Sides and angles of a triangle
- Congruency of triangles
- Similar 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
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Mensuration
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- 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
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Statistics
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- Collection and tabulation of statistical data
- Graphical representation frequency polygons
- histograms
- bar charts
- pie charts etc
- Measures of central tendency
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