🌟 NDA (National Defence Academy) Full Syllabus – For Website / Academy Use
📌 1. NDA Exam Pattern (Written Exam)
| Paper | Subject | Marks | Duration |
|---|---|---|---|
| Paper I | Mathematics | 300 | 2½ Hours |
| Paper II | General Ability Test (GAT) | 600 | 2½ Hours |
| Total | — | 900 Marks | 5 Hours |
| 🔹 Objective-type questions only. Prep Images |
📘 2. PAPER I – Mathematics Syllabus
The Mathematics syllabus is based on the Class 11 & 12 level topics and includes:
Algebra
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Sets, Venn diagrams, De Morgan’s laws
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Real numbers on a line
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Complex numbers: properties, modulus, argument, roots of unity
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Binary system and conversions
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Sequences & Series (Arithmetic, Geometric, Harmonic)
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Quadratic equations
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Permutation & Combination, Binomial theorem
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Logarithms Jagran Josh free ebook
Matrices & Determinants
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Types of matrices, basic operations
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Determinants, properties
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Adjoint & inverse of matrices
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Solving linear equations (Cramer’s Rule / Matrix method)
Trigonometry
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Trigonometric ratios & identities
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Solutions of triangles
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Inverse trigonometric functions
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Heights and distances applications
Analytical Geometry (2D & 3D)
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Coordinate geometry of point, line, circle
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Conic sections – parabola, ellipse, hyperbola
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Distance formula, sections in 3-D
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Planes & lines in space
Differential Calculus
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Functions, limits and continuity
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Derivatives & applications (maxima/minima)
Integral Calculus & Differential Equations
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Integration as inverse of differentiation
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Basic differential equations
Vector Algebra
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Vectors in 2D/3D
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Addition, scalar and vector products
Statistics & Probability
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Mean, median, mode
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Probability basics
📗 3. PAPER II – GENERAL ABILITY TEST (GAT)
This paper has two parts:
🔹 PART A – English (200 marks)
The English section tests comprehension, usage, and vocabulary:
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Grammar & usage
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Vocabulary: synonyms, antonyms
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Sentence improvement
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Spotting errors
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Cloze test
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Para jumbles
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Reading comprehension
🔹 PART B – General Knowledge (400 marks)
This section covers General Knowledge and covers multiple subjects:
General Science
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Differences between living/non-living
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Basis of life (cells, tissues)
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Human body basics
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Mixtures, compounds, physical & chemical changes
Physics
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Motion, force, laws of motion
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Work, energy, power
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Properties of matter
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Heat, light, sound, electricity & magnetism
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Optics (reflection & refraction), human eye
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Simple machines and measurement units
Chemistry
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Elements, mixtures & compounds
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Symbols & formulae
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Laws of chemical combination
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Properties of air and water
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Atomic structure, acids/bases/salts
History & Freedom Movement
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Survey of Indian history
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Freedom struggle
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Impact of science & technology
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Role of India in the world
Geography
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The Earth, latitudes & longitudes
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Atmosphere, climate, winds
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Rivers, oceans, natural regions
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Distribution of resources & industries
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Indian geography fundamentals
Current Events & General Awareness
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Current national & international events
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Sports, awards, important organizations & institutions
📌 4. Additional Notes
✔ The written exam is objective type only.
✔ Syllabus covers topics mostly up to 12th standard.
✔ SSB interview is conducted after the written exam for final selection.


