 Organisation : Union Public Service Commission, UPSC
 Name of the Exam : National Defence Academy (NDA)
 Mode of exam : Offline
 Exam Duration : 2.5 Hours For Each Paper (5 hours total)
 Language of Question Paper : English & Hindi English Language paper has to be attempted in English.
NDA Exam Pattern 2024
Before getting into the NDA Syllabus let us have a look at the NDA Exam Pattern. The mathematics paper has 120 questions of 300 marks and GAT will have English and GK Papers of 200 & 400 marks respectively.
Total Marks 
300 Marks 
Total No. of Questions 
120 
Marks awarded for Correct answer 
2.5 marks 
Marks deducted for the wrong answer 
0.83 
Exam Duration 
2.5 Hours 
General Ability Test Exam Pattern
Total Marks 
600 marks 
Total No. of Questions 
150 
No. of questions in English Section 
50 
No. Of questions in General knowledge Section 
100 
Maximum Marks for English 
200 marks 
Maximum Marks for G.K. 
400 marks 
Marks for Correct Answer 
4 marks in both sections 
Marks for Incorrect Answer 
1.33 marks in both sections 
Exam Duration 
2.5 Hours 
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After clearing the written exam of NDA, candidates have to appear for the SSB Interview rounds. The pattern of NDA Interview is as mentioned below:
Stage 1 
Screening Test 
Verbal and nonverbal tests. PPDT 
Stage 2 
Psychological Test 
Thematic Apperception Test (TAT) Word Association Test (WAT) Situation Reaction Test (SRT) Self Description Test (SD) 
Group Testing Officers Test 
GD GPE PGT HGT IoT Command Task Snake race/Group Obstacle Race Individual lecture FGT 

Personal Interview & conference 
– 
NDA Syllabus 2024
After getting to know the NDA Exam Pattern it is important for the candidates to know the Syllabus of the NDA Exam. The NDA Syllabus is discussed below.
NDA Mathematics Syllabus
The chapters covered for NDA Maths Syllabus are given in the table below.
Algebra
 Sets, Venn diagrams, De Morgan laws, Cartesian product, relation, equivalence relation. Real numbers, Complex numbers, Modulus, Cube roots, Conversion of a number in Binary system to Decimals, and viceversa. Arithmetic, Geometric and Harmonic progressions. Quadratic equations, Linear inequations, Permutation and Combination, Binomial theorem, and Logarithms.
 Concept of a realvalued function, domain, range, and graph of a function. Composite functions, onetoone, onto, and inverse functions. The notion of limit, Standard limits, Continuity of functions, algebraic operations on continuous functions. Derivative of function at a point, geometrical and physical interpretation of a derivativeapplication. Derivatives of sum, product, and quotient of functions, a derivative of a function concerning another function, the derivative of a composite function. Secondorder derivatives. Increasing and decreasing functions. Application of derivatives in problems of maxima and minima
 Types of matrices, operations on matrices. Determinant of a matrix, basic properties of determinants. Adjoint and inverse of a square matrix, ApplicationsSolution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method.
 Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expressions, trigonometric, exponential, and hyperbolic functions. Evaluation of definite integrals—determination of areas of plane regions bounded by curves—applications.Definition of order and degree of a differential equation, formation of a differential equation by examples. General and particular solution of differential equations, solution of the first order, and firstdegree differential equations of various types—examples. Application in problems of growth and decay.
 Angles and their measures in degrees and radians. Trigonometric ratios. Trigonometric identities Sum and difference formulae. Multiple and Submultiple angles. Inverse trigonometric functions. ApplicationsHeight and distance, properties of triangles.
 Vectors in two and three dimensions, magnitude, and direction of a vector. Unit and null vectors, the addition of vectors, scalar multiplication of a vector, scalar product, or dot product of two vectors. Vector product or cross product of two vectors. Applications—work done by a force and moment of a force and in geometrical problems.
 Rectangular Cartesian Coordinate system. Distance formula. Equation of a line in various forms. The angle between two lines. Distance of a point from a line. Equation of a circle in standard and a general form. Standard forms of parabola, ellipse, and hyperbola. Eccentricity and axis of a conic. Point in a threedimensional space, the distance between two points. Direction Cosines and direction ratios. Equation two points. Direction Cosines and direction ratios. Equation of a plane and a line in various forms. The angle between two lines and the angle between two planes. Equation of a sphere.
 Probability: Random experiment, outcomes, and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events. Union and Intersection of events. Complementary, elementary, and composite events. Definition of probability—classical and statistical—examples. Elementary theorems on probability—simple problems. Conditional probability, Bayes’ theorem—simple problems. Random variable as function on a sample space. Binomial distribution, examples of random experiments giving rise to Binomial distribution.
The topicwise question distribution in Maths
Topic 
Questions 
Calculus 
2025 
Quadratic equation 
2015 
Matrices & Determinants 
30 
Probability 
10 
Trigonometry 
30 
Complex number 
1015 
NDA General Ability Test Syllabus
The General ability test comprises two papers English and General Knowledge. The English paper consists of 200 Marks while the General Knowledge is of 400 Marks.
NDA Syllabus English
The question paper in English will be designed to test the candidate’s understanding of English. The syllabus covers various aspects like as given below:
Topic 
No. of Questions 
No. of Marks 
Spotting Errors 
5 
20 
Comprehension 
6 
24 
Selecting Words 
10 
40 
Ordering of Words in a Sentence 
9 
36 
Sentence Improvement 
10 
40 
Antonyms 
5 
20 
Synonyms 
5 
20 
Total 
50 
200 
NDA Syllabus General Knowledge
Check the topicwise number of questions and marks distribution in the table below.
Topic 
No. of Questions 
No. of Marks 
Physics 
23 
92 
Chemistry 
16 
64 
General Science 
11 
44 
History & Freedom Movement 
16 
64 
Geography 
17 
68 
Current
Affairs 
17 
68 
Total 
100 
400 
NDA Syllabus Physics
 Physical Properties and States of Matter
 Modes of transference of Heat
 Mass, Weight, Volume, Sound waves and their properties
 Simple musical instruments
 Rectilinear propagation of Light
 Density and Specific Gravity
 Reflection and refraction
 Principle of Archimedes
 Spherical mirrors and Lenses
 Pressure Barometer
 Human Eye
 Motion of objects
 Natural and Artificial Magnets
 Velocity and Acceleration
 Properties of a Magnet
 Newton’s Laws of Motion
 Earth as a Magnet
 Force and Momentum
 Static and Current Electricity
 Parallelogram of Forces
 Conductors and Nonconductors
 Stability and Equilibrium of bodies
 Ohm’s Law
 Gravitation
 Simple Electrical Circuits
 Elementary ideas of work
 Heating, Lighting, and Magnetic effects of Current
 Power and Energy
 Measurement of Electrical Power
 Effects of Heat
 Primary and Secondary Cells
 Measurement of Temperature and Heat
 Use of XRays
 General Principles in the working of Simple Pendulum, Simple Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightning Conductors, Safety Fuses.
 Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon Dioxide, Oxidation and Reduction.
 Acids, bases and salts.
 Carbon— different forms
 Physical and Chemical Changes
 Fertilizers—Natural and Artificial
 Elements
 Material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and Gunpowder
 Mixtures and Compounds
 Elementary ideas about the structure of Atom
 Symbols, Formulae, and simple Chemical Equation
 Atomic Equivalent and Molecular Weights
 Law of Chemical Combination (excluding problems)
 Valency
 Properties of Air and Water
 Common Epidemics, their causes, and prevention
 Difference between the living and nonliving
 Food—Source of Energy for man
 Basis of Life—Cells, Protoplasms, and Tissues
 Constituents of food
 Growth and Reproduction in Plants and Animals
 Balanced Diet
 Elementary knowledge of the Human Body and its important organs
 The Solar System—Meteors and Comets, Eclipses. Achievements of Eminent Scientists
NDA Syllabus History, Freedom Movement
 Forces shaping the modern world;
 Renaissance
 Exploration and Discovery;
 A broad survey of Indian History, with emphasis on Culture and Civilisation
 Freedom Movement in India
 French Revolution, Industrial Revolution, and Russian Revolution
 War of American Independence,
 Impact of Science and Technology on Society
 Elementary study of Indian Constitution and Administration
 Concept of one World
 Elementary knowledge of Five Year Plans of India
 United Nations,
 Panchsheel,
 Panchayati Raj, Democracy, Socialism and Communism
 Role of India in the present world
 Cooperatives and Community Development
 Bhoodan, Sarvodaya,
 National Integration and Welfare State
 Basic Teachings of Mahatma Gandhi
NDA Syllabus Geography
 The Earth, its shape and size
 Ocean Currents and Tides Atmosphere and its composition
 Latitudes and Longitudes
 Temperature and Atmospheric Pressure, Planetary Winds, Cyclones, and Anticyclones; Humidity; Condensation and Precipitation
 Concept of time
 Types of Climate
 International Date Line
 Major Natural Regions of the World
 Movements of Earth and their effects
 Regional Geography of India
 Climate, Natural vegetation. Mineral and Power resources;
 Location and distribution of agricultural and Industrial activities
 Origin of Earth. Rocks and their classification
 Important Sea ports and main sea, land, and air routes of India
 Weathering—Mechanical and Chemical, Earthquakes and Volcanoes
 Main items of Imports and Exports of India
Current Events
 Knowledge of Important events that have happened in India in recent years.
 Prominent personalities of both Indian and International level
 Cultural activities and sports activities
 Current important world events.
Intelligence and Personality Test
The SSB procedure consists of two stages. Only those candidates who clear written exam are permitted to appear for SSB round. The details o SSB exam are given below:
Stage I
 Officer Intelligence Rating (OIR)
 Picture Perception Description Test (PP&DT).
 Interview (IO)
 Group Testing Officer Tasks (GTO)
 Psychology Tests (Psych)
 Conference