NDA Syllabus 2023: The Union Public Service Commission conducts NDA/NA Exam to recruit candidates for the National Defence Academy.
Candidates wishing to appear for NDA Exam should prepare in accordance with NDA syllabus.
UPSC releases the syllabus for NDA Exam in the official notification.
NDA syllabus comprises of topics and subjects from which questions are asked in the exam.┬аRead this article to know NDA syllabus and other details.┬аCheck our
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Table of Content
 NDA Syllabus 2023: Overview
 NDA Syllabus┬а
 NDA Syllabus for Paper 1
 NDA Syllabus for Paper 2
 NDA Exam Pattern┬а
 General Guidelines for NDA Exam
┬а┬а
The boys and girls who are seeking to apply for NDA 2023 must begin their preparation for the written exam by following the detailed NDA Syllabus 2023 which has been discussed in this article.┬аThe table below provides important information about the NDA Exam such as the frequency of the exam, selection process, exam duration and so on.┬а
Name of the Exam 
National Defence Academy (NDA) 
Conducting Body 
┬аUnion Public Service Commission, UPSC. 
Selection Process 
 Written Test consisting of Objective Type Questions
 Intelligence & Personality Test (SSB)

Mode of exam 
Offline 
Papers in NDA Exam 
 Mathematics
 General Ability Test

Total No.
of Questions 
 Mathematics: 120
 GAT: 150

Negative Marking 
 Mathematics: 0.83
 GAT: 1.33 marks

Exam Duration 
2.5 Hours For Each Paper (5 hours total) 
Language of Question Paper 
English &┬аHindi English (Language paper has to be attempted in English). 
┬а
The written exam of NDA consists of two papers.
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There are a total of┬а
270 questions┬а
120 for section A, which is mathematics, and 150 for section B, that is, the General Ability section.
The boys and girls who are aspiring to appear for NDA (I) 2023┬аExam must begin their preparation by understanding the NDA syllabus and preparing their plan accordingly.┬аThe detailed syllabus for each of these sections┬аis as follows:
Questions in Paper 1 are asked from Mathematics.
The level of questions is that of 10+2.
A total of 120 questions are asked.
Each question carries 2.5 marks and 0.83 marks are deducted for every incorrect answer.
The detailed syllabus for NDA paper I is┬аas follows:
Topic 
NDA Syllabus 
ALGEBRA 
 Concept of set, operations on sets, Venn diagrams.
 De Morgan laws, Cartesian product, relation, equivalence relation.
 Representation of real numbers on a line.
 Complex numbersтАФbasic properties, modulus, argument, cube roots of unity.
 Binary system of numbers.
 Conversion of a number in decimal system to binary system and viceversa.
Arithmetic, Geometric and Harmonic progressions.
 Quadratic equations with real coefficients.
 Solution of linear inequations of two variables by graphs.
 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 of determinants.
Adjoint and inverse of a square matrix, ApplicationsSolution of a system of linear equations in two or three unknowns by CramerтАЩs rule and by Matrix Method.

TRIGONOMETRY 
 Angles and their measures in degrees and in radians.
Trigonometrical ratios.
 Trigonometric identities Sum and difference formulae.
 Multiple and Submultiple angles.
 Inverse trigonometric functions.
 ApplicationsHeight and distance, properties of triangles.

ANALYTICAL GEOMETRY OF TWO AND THREE DIMENSIONS 
 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 in 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.
 Angle between two lines and angle between two planes.
Equation of a sphere

DIFFERENTIAL CALCULUS 
 Concept of a real valued functionтАУdomain, range and graph of a function.
 Composite functions, one to one, onto and inverse functions.
Notion of limit, Standard limitsтАФexamples.
 Continuity of functionsтАФexamples, algebraic operations on continuous functions.
 Derivative of function at a point, geometrical and physical interpretation of a derivativeтАФapplications.
 Derivatives of sum, product and quotient of functions, the derivative of a function with respect to another function, derivative of a composite function.
 Second order derivatives.
 Increasing and decreasing functions.
 Application of derivatives in problems of maxima and minima.

INTEGRAL CALCULUS AND DIFFERENTIAL EQUATIONS 
 Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expressions, trigonometric, exponential and hyperbolic functions.
 Evaluation of definite integralsтАФdetermination of areas of plane regions bounded by curvesтАФapplications.
 Definition of order and degree of a differential equation, formation of a differential equation by examples.
 General and particular solution of a differential equations, solution of first order and first degree differential equations of various typesтАФexamples.
Application in problems of growth and decay.

VECTOR ALGEBRA 
 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.
ApplicationsтАФwork done by a force and moment of a force and in geometrical problems.

STATISTICS AND PROBABILITY 
Statistics :
 Classification of data, Frequency distribution, cumulative frequency distributionтАФexamples.
 Graphical representationтАФHistogram, Pie Chart, frequency polygonтАФ examples.
 Measures of Central tendencyтАФMean, median, and mode.
Variance and standard deviationтАФdetermination and comparison.
 Correlation and regression.
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 probabilityтАФclassical and statisticalтАФexamples.
 Elementary theorems on probabilityтАФsimple problems.
 Conditional probability, BayesтАЩ theoremтАФsimple problems.
 Random variable as function on a sample space.
 Binomial distribution, examples of random experiments giving rise to Binominal distribution.

┬а
The topicwise question distribution in Maths
┬а
Topic 
Questions

Calculus

2025

Quadratic equation

2015

Matrices & Determinants

30

Probability

10

Trigonometry

30

Complex number

1015

┬а
General Knowledge (GK), English, Chemistry, Physics, Geography, General Science, and Current Events are some of the topics covered in the second paper, the General Ability Test.
There are 150 questions in total, 50 of them are from the English language and 100 from general knowledge.
Each question is worth four marks, and each incorrect response results in a deduction of 1.33 marks.
 Sentence Improvement
 Reading Comprehension
 Synonyms
 Antonyms
 One Word Substitution
 ParaJumble
 SentenceJumble
 Spot the Error
 Cloze Test
┬а
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┬а
This section broadly covers questions from┬аPhysics, Chemistry, General Science, Social Studies, Geography and Current Events.
The syllabus for each of these is as follows:
┬аPhysics 
 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
 NewtonтАЩs 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
 OhmтАЩs 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, MarinerтАЩs Compass; Lightning Conductors, Safety Fuses.
 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
 NewtonтАЩs 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
 OhmтАЩs 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, MarinerтАЩs Compass; Lightning Conductors, Safety Fuses.

┬аChemistry 
 Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon Dioxide, Oxidation and Reduction.
 Acids, bases and salts.
 CarbonтАФ different forms
 Physical and Chemical Changes
 FertilizersтАФNatural 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

General Science 
 Common Epidemics, their causes, and prevention
 Difference between the living and nonliving
 FoodтАФSource of Energy for man
 Basis of LifeтАФCells, 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 SystemтАФMeteors and Comets, Eclipses.
Achievements of Eminent Scientists

History, Freedom Movement etc. 
 A broad survey of Indian History, with emphasis on Culture and Civilisation.
 Freedom Movement in India.
 Elementary study of Indian Constitution and Administration.
 Elementary knowledge of Five Year Plans of India.
 Panchayati Raj, Cooperatives and Community Development.
Bhoodan, Sarvodaya, National Integration and Welfare State, Basic Teachings of Mahatma Gandhi.
 Forces shaping the modern world; Renaissance, Exploration and Discovery; War of American Independence.
 French Revolution, Industrial Revolution and Russian Revolution.
Impact of Science and Technology on Society.
 Concept of one World, United Nations, Panchsheel, Democracy, Socialism and Communism.
 Role of India in the present world.

Geography 
 The Earth, its shape and size.
 Lattitudes and Longitudes, Concept of time.
 International Date Line.
 Movements of Earth and their effects.
 Origin of Earth.
 Rocks and their classification; WeatheringтАФMechanical and Chemical, Earthquakes and Volcanoes.
 Ocean Currents and Tides Atmosphere and its composition; Temperature and Atmospheric Pressure, Planetary Winds, Cyclones and Anticyclones; Humidity; Condensation and Precipitation; Types of Climate, Major Natural regions of the World.
 Regional Geography of IndiaтАФClimate, Natural vegetation.
 Mineral and Power resources; location and distribution of agricultural and Industrial activities.
 Important Sea ports and main sea, land and air routes of India.
 Main items of Imports and Exports of India.

Current Events 
Knowledge of Important events that have happened in India in the recent years.
Current important world events.
Prominent personalitiesтАФboth Indian and International including those connected with cultural activities and sports. 
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To know all about NDA Exam, read the belowlinked articles:
┬а
After the NDA Syllabus, candidates must be aware of the NDA Exam pattern.
There are two sections in NDA Written Exam Mathematics and General Ability Test.
The exam is conducted in offline mode.┬а The detailed exam pattern for NDA is as follows:
┬а
Subject 
Paper 
Total No.
Of Questions 
Exam Duration 
Maximum Marks 
Mathematics 
1 
120 
2.5 Hours 
300 
General Ability Test 
2 
150 
2.5 Hours 
600 
Total 
┬а 
270 
5 Hours 
900 
┬а
Mathematics Paper:
 Each right answer will fetch 4 marks, while for the wrong answer 1.33 marks shall be deducted.
 The total time duration for this section is 2.5 hours.
┬а
Paper I Mathematics 
Total Marks 
300 Marks 
Total No.
of Questions 
120 
The General Ability Test (GAT) comprises of the following subjects:
 General English
 General Knowledge
 There are 50 questions in the English section.
 While the GK section has 100 questions.
 Each right answer will fetch 4 marks, while for the wrong answer 1.33 marks shall be deducted.
 The time duration for the GAT Section is 2.5 hours.
The distribution of marks for these subjects is as follows:
PaperII General Ability Test 
Total Marks 
600 marks 
Total No.
of Questions 
150 
No.
of questions in English Section 
50 
No.
Of questions in General knowledge Section 
100 
Also, read the following NDA related blogs:
NDA Exam Pattern: SSB Interview
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 
тАУ 
┬а┬а
┬а
 The papers in all the subjects will consist of objective type questions only.
 The question papers (Test booklets) of Mathematics and Part тАЬBтАЭ of General Ability Test will be set bilingually in Hindi as well as English.
 In the question papers, wherever necessary, questions involving the metric system of weights and measures only will be set.
 Candidates must write the papers in their own hand. In no circumstances will they be allowed the help of a scribe to write answers for them.
 The commission has the discretion to fix qualifying marks in any or all the subjects at the examination.
 The candidates are not permitted to use a calculator or mathematical or logarithmic table for answering objective type papers (test booklets).
Also Read:
The subjects from which questions are asked in NDA Exam are Mathematics, English, Science and Geneal Knowledge.
The duration of the NDA Exam is 5 hours 2.5 hours for Paper 1 and 2.5 hours for Paper 2.
Yes, there is negative marking in NDA Exam 0.83 marks are deducted for incorrect answers in Paper 1 and 1.33 marks are deducted for each incorrect answer in Paper 2.
A total of 120 questions are asked from Mathematics in NDA Exam.
The maximum marks for NDA Written Exam are 900.