NDA 2026 Syllabus — Mathematics & General Ability Test Topic-wise

Last updated: 7 March 2026

NDA 2026 Overview

The NDA 2026 Syllabus consists of two papers: Mathematics (300 marks) and General Ability Test (600 marks). The Mathematics paper is at 12th standard level while GAT covers English and General Knowledge.

Mathematics (Paper I — 300 marks)

Algebra: Sets, Relations, Functions, Complex Numbers, Quadratic Equations, Sequences & Series, Permutations & Combinations, Binomial Theorem, Logarithms.

Matrices & Determinants: Types, Operations, Properties, Cramer's Rule, Applications.

Trigonometry: Angles, Trigonometric Ratios, Identities, Inverse Functions, Applications in Heights & Distances.

Analytical Geometry (2D & 3D): Straight Lines, Circles, Conic Sections, Points in 3D space, Direction Cosines, Planes.

Differential & Integral Calculus: Limits, Continuity, Differentiation, Application of Derivatives, Integration, Differential Equations.

Vector Algebra: Vectors in 2D and 3D, Scalar and Cross Products, Applications.

Statistics & Probability: Mean, Median, Mode, Variance, SD, Probability concepts, Conditional Probability.

General Ability Test (Paper II — 600 marks)

Part A — English (200 marks): Grammar & Usage, Vocabulary, Comprehension, Cohesion, Rearrangement, Synonyms/Antonyms.

Part B — General Knowledge (400 marks): Physics, Chemistry, General Science, Social Studies (History, Geography, Polity), Current Events.

NDA 2026 Exam Pattern

Written Examination

SubjectQuestionsMarksDurationNegative Marking
Mathematics120300150 minutes1/3 per wrong answer
General Ability Test (English + GK)150600150 minutes1/3 per wrong answer
Total270900

SSB Interview

SubjectQuestionsMarksDurationNegative Marking
Screening Test (OIR + PPDT)00Day 1N/A — Screening
Psychological Tests (TAT, WAT, SRT, SD)00Day 2N/A
Group Tasks (GD, GPE, HGT, PGT, Command Task)00Day 3-4N/A
Personal Interview + Conference0900Day 4-5N/A
Total0900

NDA Syllabus Overview

  • Paper I — Mathematics (300): Algebra, Trigonometry, Calculus, Geometry, Vectors, Statistics & Probability — 12th level
  • Paper II — GAT English (200): Grammar, Vocabulary, Comprehension — 12th level
  • Paper II — GAT GK (400): Physics, Chemistry, Biology, History, Geography, Polity, Current Affairs

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