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NDA Syllabus

NDA Syllabus 2023

NDA Syllabus
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NDA Syllabus - Paper 1 (Mathematics)

  • 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 vice-versa
  • 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, Applications-Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method
  • Trigonometric ratios
  • Trigonometric identities Sum and difference formulae
  • Angles and their measures in radians and degrees
  • Applications-distance 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 three-dimensional space, the distance between two points
  • Direction Cosines and direction ratios
  • Equation two points
Differential Calculus:
  • The concept of a real-valued function–range, domain, and graph of a function
  • Derivative of function at a point, geometrical and physical interpretation of a derivative—applications
  • Second-order 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 first-degree 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 topic-wise distribution of questions in Maths





Quadratic equation


Matrices & Determinants






Complex number


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 Non-conductors, Ohm’s Law, Measurement of Electrical Power, Primary and Secondary Cells, Use of X-Rays, 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, Co-operatives, and Community Development
  • National Integration, Bhoodan, Sarvodaya, and Welfare State, Basic Teachings of Mahatma Gandhi
  • Modern world-shaping; 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 topic-wise distribution of questions in GAT



No. of Questions

No. of Marks

Spotting Errors






Selecting Words



Ordering of Words in a Sentence



Sentence Improvement












General Knowledge


No. of Questions

No. of Marks







General Science



History & Freedom Movement






Current Events






Books for NDA Exam




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


  • 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
  • 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.

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