NDA Syllabus 2023
NDA Syllabus  Paper 1 (Mathematics)
Algebra:
 Quadratic 17 equations with real coefficients
 The solution of linear inequalities by graphs
 Permutations and Combinations
 The concept of sets, operations on sets, Venn diagrams.
 De Morgan laws, Cartesian product, relation, equivalence relation.
 Representation of real numbers on a line
 Complex numbers — modulus, argument, basic properties, cube roots of unity
 Binary system of numbers
 Conversion of decimal system to binary system and viceversa
 Arithmetic, Geometric and Harmonic Progressions
 Binomial theorem and its applications
 Logarithms and their applications
Matrices and Determinants:
 Types of matrices
 Operations on matrices
 The determinant of a matrix, basic properties of determinants
 Inverse and adjoint of a square matrix, ApplicationsSolution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method
Trigonometry:
 Trigonometric ratios
 Trigonometric identities Sum and difference formulae
 Angles and their measures in radians and degrees
 Applicationsdistance and Height, properties of triangles
 Multiple and Submultiple angles
 Inverse trigonometric functions
Analytical Geometry of 2 and 3 Dimensions:
 Equation of a line in various forms
 Rectangular Cartesian Coordinate system
 Distance formula
 The angle between two lines
 The angle between two planes
 Direction Cosines and direction ratios
 Equation of a plane and a line in various forms
 The distance of a point from a line
 Equation of a circle in standard and in general form
 Standard forms of parabola, ellipse, and hyperbola
 Eccentricity and axis of a conic
 Equation of a sphere
 The angle between two lines
 The point in a threedimensional space, the distance between two points
 Direction Cosines and direction ratios
 Equation two points
Differential Calculus:
 The concept of a realvalued function–range, domain, and graph of a function
 Derivative of function at a point, geometrical and physical interpretation of a derivative—applications
 Secondorder derivatives
 Increasing and decreasing functions
 Application of derivatives in problems of maxima and minima
 Composite functions, one to one, onto, and inverse functions
 The notion of limit, Standard limits—examples
 Continuity of functions—examples, algebraic operations on continuous functions
 Derivatives of sum, product, and quotient of functions, a derivative of a function with respect to another function, a derivative of a composite function
Integral and Differential Calculus:
 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
 Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expressions, trigonometric, exponential, and hyperbolic functions
 Application in problems of growth and decay
 General and particular solution of differential equations, solution of the first order, and firstdegree differential equations of various types—examples
Vector Algebra:
 Addition of vectors, Unit and null vectors, scalar multiplication of a vector, scalar product, or dot product of two vectors
 Vectors in three and two magnitude, dimensions, and direction of a vector
 Cross product or the Vector product of two vectors
 Applications—work done by a force and moment of a force and in geometrical problems
Statistics and Probability:
 Measures of Central tendency—Mean, median, and mode
 Variance and standard deviation—determination and comparison
 Correlation and regression
 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
 Probability: Random experiment, outcomes, and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events. Union and Intersection of events
 Statistics: Classification of data, Frequency distribution, cumulative frequency distribution—examples
 Graphical representation—Histogram, Pie Chart, frequency polygon—examples
 Complementary, elementary, and composite events
 Binomial distribution, examples of random experiments giving rise to Binomial distribution
The topicwise distribution of questions in Maths
Topic

Questions

Calculus

2025

Quadratic equation

2015

Matrices & Determinants

30

Probability

10

Trigonometry

30

Complex number

1015

NDA Syllabus 2023  Paper 2 (General Ability):
 General Knowledge question paper will hold subjects  Chemistry, General Science, Social Studies, Geography, Physics, and Current Events.
 The NDA Syllabus provided below is just to indicate the scope of these subjects included in this paper.
 The topics mentioned are not to be regarded as exhaustive and questions on topics of similar nature not specifically mentioned in the syllabus may also be asked.
 Candidates’ answers are expected to show their knowledge and intelligent understanding of the subject.
Section A (Physics):
 States of Matter and physical properties, Density, and Specific Gravity, Principle of Archimedes, Mass, Weight, Volume, Pressure Barometer
 The motion of objects, Force and Momentum, Parallelogram of Forces, Stability and Equilibrium of bodies, Velocity and Acceleration, Newton’s Laws of Motion, Gravitation, elementary ideas of work, Power, and Energy
 Measurement of Temperature and Heat, Effects of Heat, change of State and Latent Heat, Modes of transference of Heat
 Sound waves and their properties, Simple musical instruments
 Reflection,Rectilinear Propagation of Light,and refraction.Human Eye Spherical Mirrors and Lenses.
 Artificial and natural Magnets, Properties of a Magnet, Earth as a Magnet
 Static and Current Electricity, conductors and Nonconductors, Ohm’s Law, Measurement of Electrical Power, Primary and Secondary Cells, Use of XRays, Simple Electrical Circuits, Heating, Lighting and Magnetic effects of Current.
 General Principles in the working of the following: Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Simple Pendulum, Simple Pulleys, Siphon, Balloon, Levers, Pumps, Telegraphs, Periscope, Telephone, Telescope, Microscope, Mariner’s Compass, Lightning Conductors, Safety Fuses.
Section B (Chemistry):
 Physical and Chemical changes. Mixtures, Elements and Compounds, Formulae, Symbols, and simple Chemical Equations, Law of Chemical Combination
 Properties of Air and Water. Properties and preparation of Oxygen, Nitrogen, Hydrogen, and Carbon dioxide, Reduction and Oxidation, Acids, bases, and salts.
 Carbon— different forms
 Fertilizers—Natural and Artificial
 The material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and Gunpowder
 Elementary ideas about the Atomic Equivalent, Structure of Atom, and Molecular Weights, Valency.
Section C (General Science):
 Difference between the living and nonliving
 The basis of Life—Cells, Protoplasms, and Tissues
 Growth and Reproduction in Plants and Animals
 Elementary knowledge of the Human Body and its important organs
 Common Epidemics, their causes, and prevention. Food—Source of Energy for man
 Constituents of food, Balanced Diet. The Solar System—Meteors and Comets, Eclipses
 Achievements of Eminent Scientists
Section D (History, Freedom Movement, and the like):
 Indian History  Survey, providing emphasis on Culture and Civilisation
 Freedom Movement in India
 Elementary study of Indian Constitution and Administration
 Knowledge of Five Year Plans of India. Panchayati Raj, Cooperatives, and Community Development
 National Integration, Bhoodan, Sarvodaya, and Welfare State, Basic Teachings of Mahatma Gandhi
 Modern worldshaping; Renaissance, Exploration, and Discovery; War of American Independence
 Industrial Revolution, the French Revolution, and the Russian Revolution. Impact of Science and Technology on Society
 Concept of one World, Panchsheel, Democracy, United Nations, Socialism, and Communism
 Role of India in the present world
Section E (Geography):
 The Earth, its shape, and its size
 Latitudes and Longitudes, Concept of time
 International Date Line
 Movements of Earth and their effects
 Origin of Earth
 Rocks with their classification; Weathering—Chemical and Mechanical, Earthquakes and Volcanoes
 Regional Geography of India—Climate, Natural vegetation
 Power and Mineral Resources: distribution and location of Industrial and agricultural activities
 Important main sea and Seaports, land, and air routes of India
 Main items of Imports and Exports of India
 Ocean Currents and Tides; Atmosphere and its composition; Pressure, Planetary Winds, Cyclones, and Anticyclones; Humidity; Condensation and Precipitation; Temperature and Atmospheric Types of Climate, Major Natural Regions of the World’
Section F (Current Events):
 Deep information of all the Important events that happened in India in recent years
 Current important world events
 Prominent personalities—including both Indian and International, those connected with cultural activities and sports.
NDA 2023 SSB Interview (Stage II)
Those candidates who qualify for stage I will only be permitted to appear for Stage II. The details are as follows:
 Part I comprises of Officer Intelligence Rating (OIR) tests and the Picture Perception & Description Test (PP & DT). The candidates will be shortlisted based on the combination of their performance in their OIR Test and their PP & DT.
 Part II Comprises the Interview session, Group Testing Officer Tasks, Psychology Tests, and the last is Conference. These tests are organized over a duration of 4 days.
The topicwise distribution of questions in GAT
English
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

General Knowledge
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 Events

17

68

Total

100

400

Books for NDA Exam
Subjects

Books

Mathematics

 Mathematics for NDA and NA: National Defence Academy and Naval Academy by RS Aggarwal
 Quantitative aptitude for competitive examinations by RS Aggarwal

GAT

 History Of Modern India (History) by Bipan Chandra
 Science and Technology in India (Science and Technology) by Kalpana Rajaram: Spectrum
 Objective General English for Competitive Exams by S.P. Bakshi
 Manorama Yearbook 2019 by Mammen Mathew

NOTE:
 The personality of a candidate is assessed by 3 different assessors viz. The IO knew as Interviewing Officer, GTO is known as  Group Testing Officer, and the Psychologist.
 There is no separate preference for any of the tests. The marks are allotted by the assessors only after taking into consideration the applicant's performance of the candidate holistically in all their tests.
 Marks for the conference are also allotted based on the initial performance of the candidate in the 3 techniques and decisions of the Board. All the tests have equal preference.
How to prepare for NDA Exam 2023?
 Fix your goal and make sure to start your preparation early for the exam.
 Be thorough with the NDA Syllabus 2023 and follow a routine.
 Clear all the basic concepts from the high school books.
 The best way to improve English is by reading the newspaper daily and brush up the grammar skills.
 Refer to the previous year’s NDA Exam question paper and solve as many questions as you can.
 Attempt a mock test that will improve your speed and accuracy.
 Look after your weak subjects and start working on them.
Related FAQs:
Q. What is the NDA Syllabus 2023?
A. NDA Exam syllabus is divided into Maths and GAT.
Q. What is the ideal time to start preparing for the NDA Exam 2023?
A. Six months is considered as the ideal time for preparation for the NDA Exam 2023.
Q. What is the level of the NDA syllabus?
A. The level of the NDA Exam Syllabus is of Class 10, 11, and 12 levels.
Q. Is NDA Exam tough?
A. If prepared well NDA Exam is not tough to qualify.
Q. How can I crack the NDA Exam 2023?
A. Aspirants must be consistent in their studies, clear all their basic concepts and practice.
Q. Who will prescribe the NDA Syllabus 2023?
A. NDA Exam syllabus is prescribed by UPSC.
Q. Does the NDA Exam syllabus change every year?
A. No, NDA Exam Syllabus remains the same every year.
Q. Which book is considered best for NDA Exam?
A. A list of all the books is given above in this article. Also, to clear concepts, aspirants should refer to NCERT Class 11 and 12 books.
Q. What is the syllabus for English in NDA Exam?
A. English incorporates Grammar and usage, vocabulary, comprehension, and cohesion.
Q. Is there any negative marks in the NDA exam?
A. Yes, 1/3 marks will be deducted as a penalty for each wrong answer.
Q. Can I get the NDA Exam syllabus in PDF?
A. The NDA Exam syllabus in PDF form is given above.