UPSC NDA & NA 2026 syllabus for Mathematics (300 marks) and General Ability Test (600 marks). 12th pass eligible.
UPSC NDA & NA 2026 Examination Syllabus
Paper-I: Mathematics (300 marks, 2.5 hours)
Algebra
- Concept of a set, operations on sets, Venn diagrams
- Cartesian product, relation, equivalence relation
- Representation of real numbers on a line, Complex numbers
- Modulus, argument, cube roots of unity, Binary number system
- Arithmetic, Geometric, Harmonic Progressions
- Quadratic equations with real coefficients, Permutation and Combination
- Binomial theorem and its applications, Logarithms and their applications
Matrices and Determinants
- Types of matrices, operations on matrices
- Determinant of a matrix, basic properties
- Adjoint and inverse of a square matrix, Cramer rule
Trigonometry
- Angles and their measures in degrees and radians
- Trigonometric ratios, Addition and subtraction formulae
- Multiple and sub-multiple angles, Inverse trigonometric functions
- Properties of triangles, Solution of triangles, Heights and Distances
Vector Algebra, Differential and Integral Calculus, Statistics & Probability
Paper-II: General Ability Test (600 marks, 2.5 hours)
Part A: English (200 marks)
- Grammar and Usage, Vocabulary, Comprehension, Cohesion
- Spotting Errors, Fill in the Blanks, Ordering of Words/Sentences
Part B: General Knowledge (400 marks)
- Physics: Physical properties, States of matter, Motion, Work and Energy
- Heat, Sound, Light, Magnetism, Electricity, Atomic and Nuclear Physics
- Chemistry: Physical and Chemical changes, Elements and Compounds
- Acids, Bases and Salts, Carbon and its forms, Fertilizers, Explosives
- General Science: Living and Non-living things, Basis of Life, Human Body
- History of India: Freedom Movement, Indian Constitution
- Indian Geography: Physical setting, Climate, Seasons, Natural Vegetation
- Current Events: Recent events in India and the World, Sports and Games
SSB Interview (900 marks)
- Stage I: Officer Intelligence Rating (OIR) Tests & Picture Perception Description Test (PPDT)
- Stage II: Psychology Tests, Group Testing Officer Tasks, Personal Interview, Conference