Step 1: NDA Syllabus Overview
- The Union Public Service Commission conducts the National Defence Academy (NDA) & Naval Academy (NA) exam twice a year.
- The purpose is to admit candidates to the Indian Navy, Army, and Air Force Wings.
- The minimum educational qualification required is a 12th class pass in the 10+2 pattern.
- The examination comprises two stages: a written examination and an interview.
Step 2: Written Examination Syllabus
PAPER-I: MATHEMATICS (Maximum Marks- 300)
- ALGEBRA:
- Concept of set, operations on sets, Venn diagrams.
- De Morgan laws, Cartesian product, relation, equivalence relation.
- Complex numbers, binary system, arithmetic, geometric progressions.
- MATRICES AND DETERMINANTS:
- Types of matrices, operations, determinant, adjoint, inverse of a matrix.
- Applications – Solution of a system of linear equations.
- TRIGONOMETRY:
- Angles and measures, trigonometric ratios, identities, formulas.
- Applications – Height and distance, properties of triangles.
- ANALYTICAL GEOMETRY:
- Cartesian Coordinate system, equations of lines, circles, parabola, ellipse, hyperbola.
- Points in three-dimensional space, distance between points, equations of planes and lines.
- DIFFERENTIAL CALCULUS:
- Real-valued function, limits, continuity, derivatives, applications.
- Second order derivatives, increasing and decreasing functions.
- INTEGRAL CALCULUS AND DIFFERENTIAL EQUATIONS:
- Integration, standard integrals, definite integrals, areas of plane regions.
- Differential equations, general and particular solutions.
- VECTOR ALGEBRA:
- Vectors in two and three dimensions, magnitude, direction, addition, scalar multiplication.
- Vector product or cross product, applications in work and geometry.
- STATISTICS AND PROBABILITY:
- Classification of data, frequency distribution, graphical representation.
- Probability, random experiments, events, classical and statistical probability.
PAPER-II: GENERAL ABILITY TEST (Maximum Marks-600)
Part ‘A’ – ENGLISH (Maximum Marks 200)
- Tests candidate’s understanding of English, grammar, vocabulary, comprehension.
Part ‘B’ – GENERAL KNOWLEDGE (Maximum Marks-400)
Section ‘A’ (Physics):
- Physical properties, laws of motion, heat, light, electricity, magnetism.
Section ‘B’ (Chemistry):
- Physical and chemical changes, elements, compounds, acids, bases, salts.
Section ‘C’ (General Science):
- Difference between living and non-living, cells, growth, reproduction, human body.
Section ‘D’ (History, Freedom Movement etc.):
- Indian history, freedom movement, Indian constitution, Five Year Plans.
Section ‘E’ (Geography):
- Earth, rocks, weathering, ocean currents, climate, natural regions, regional geography of India.
Section ‘F’ (Current Events):
- Important events in India and worldwide, prominent personalities.
Step 3: Note on Weightages
- Part ‘B’ of Paper-II carries maximum marks of 600.
- Sections ‘A’ to ‘F’ have weightages of approximately 25%, 15%, 10%, 20%, 20%, and 10% respectively.