Complete Syllabus structure of NDA examination

The complete syllabus structure of the NDA exam is prescribed by the Union Public Service Commission (UPSC) for the written exam. Candidates must prepare by the NDA 2023 syllabus. The syllabus is divided into two parts: general ability tests (GAT) and mathematics. The NDA syllabus for GAT assesses candidates' fundamental knowledge of history, general knowledge, current affairs of national and international events, english, science, and geography. On the other hand, the NDA Math syllabus contains questions based on the Class 12 curriculum.

For admission to the Army, Navy, and Air Force wings of the National Defense Academy and Indian Naval Academy programs, the Union Public Service Commission conducts the NDA exam twice a year. The Union Public Service Commission (UPSC) establishes the NDA exam pattern for the written exam and the SSB interview. NDA exam pattern 2023 will assist candidates in preparing for the upcoming exam and securing a good rank.

Understanding the NDA exam pattern is one of the first steps in ensuring exam success. The UPSC NDA syllabus gives more weightage to the GAT paper. Knowing the syllabus enables candidates to devise a strategy for acing the  exam. We have provided a detailed syllabus for math and GAT to aid in NDA preparation. Candidates will understand the entire structure of the recruitment process after reviewing the exam pattern.

Complete Syllabus structure of NDA examination

Exam Pattern

The NDA exam pattern consists of a written exam and an SSB interview. The written exam is divided into two sections: Mathematics and General Ability Test (GAT). The Mathematics paper is worth 300 marks, while the GAT paper is worth 600 marks. The written exam has a total of 900 marks. The questions in Mathematics are drawn from topics covered in Class 12. The GAT paper includes English, General Knowledge, and General Science questions.

The SSB interview is divided into two stages. The first stage includes OIR, PP & DT tests, while the second stage includes psychology tests and the conference. The SSB interview is also worth a maximum of 900 marks. We have provided the most recent exam pattern where candidates can learn about the NDA 2023, such as the mode of exam, total marks allotted, duration of the exam, types of questions asked, and so on. The structure of the NDA written exam is shown below-

Particulars General Ability Test Mathematics SSB Interview
Mode of Exam Offline Offline Offline
Language Hindi & English Hindi & English Hindi & English
Number of Questions 150 120 -
Marks allotted in each question 4 marks 2 marks -
Question Type MCQ MCQ -
Marking Scheme Deduct 1.33 marks for each incorrect answer. Deduct 0.83 marks for each incorrect answer. -
Duration 150 minutes 150 minutes 4-5 days
Timing 10 am to 12.30 pm 2 pm to 4.30 pm -
Marks 600 300 900


The UPSC NDA syllabus is mainly composed of topics and sub-topics from two papers: Mathematics and GAT. Candidates must read the syllabus thoroughly to understand the topics considered important for the exam. The NDA syllabus is divided into three levels: Class 10, 11, and 12.

The syllabus will help candidates understand the important topics for the exam and plan their studies accordingly. The UPSC NDA question paper is designed by the syllabus. The NDA syllabus includes the following topics:





  • Set theory, set operations, and Venn diagrams
  • Cartesian product, relation, equivalence relation, De Morgan laws
  • Real-number representation on a line
  • Complex numbers have basic properties such as modulus, argument, and cube roots of unity.
  • The binary number system
  • Progressions in arithmetic, geometric, and harmonic terms
  • Real coefficient quadratic equations
  • Graphs are used to solve linear inequalities of two variables.
  • Combination and permutation
  • Applications of the Binomial Theorem
  • Logarithms and their Uses

Matrices & Determinants

  • Matrix types and operations 
  • Determinants of a matrix and their properties
  • A square matrix adjoint and inverse
  • Cramer's rule and Matrix algebra are used to solve a system of linear equations 


  • Angles and their degrees and radians measurements
  • Trigonometric proportions
  • Sum and difference formulae for trigonometric identities
  • Triangle Properties

Analytical Geometry of Two and Three Dimensions

  • Cartesian coordinate system (rectangular)
  • Line equations in various forms
  • The angle is formed by two lines
  • Circle equations in standard and general form
  • Standard parabola, ellipse, and hyperbola shapes
  • Eccentricity and conic axis
  • The distance between two points in three-dimensional space.
  • Different types of plane and line equations
  • The angle is formed by two lines and two planes
  • Sphere Equation

Differential Calculus

  • Range, Domain, and graph of a real-valued function 
  • Inverse functions and composite functions
  • The concept of limit, Examples of standard limits
  • Function continuity—examples, algebraic operations on continuous functions
  • Function at a point derivative, geometrical and physical interpretation of a derivative—applications
  • Sum, product, and quotient derivatives of functions, the derivative of a function to another function, and derivative of a composite function Derivatives of second order
  • Functions for increasing and decreasing
  • The use of derivatives in maxima and minima problems

Integral Calculus and Differential Equations

  • Integration as the inverse of differentiation, integration by substitution and by parts, algebraic expressions, trigonometric, exponential, and hyperbolic functions, standard integrals
  • Determinate integrals evaluation
  • Area determination in plane regions bounded by curves—applications
  • Differential equation order and degree definitions, examples of differential equation formation
  • Examples of general and particular differential equation solutions, solutions of first-order and first-degree differential equations of various types
  • Application in growth and decay problems

Vector Algebra

  • Vectors in two and three dimensions, vector magnitude and direction, unit and null vectors, vector addition, vector scalar multiplication, scalar product or dot product of two vectors
  • Vector product or cross product
  • Applications—work done by a force and its moment, as well as geometrical problems

Statistics and Probability

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  • Examples of statistics: data classification, frequency distribution, and cumulative frequency distribution
  • Examples of graphical representation include histograms, pie charts, and frequency polygons.
  • Standard deviation and variance—determination and comparison
  • Regression and correlation
  • Probability includes events, mutually exclusive and exhaustive events, impossible and certain events, and random experiments.
  • Union and intersection Events that are complementary, elementary, and composite
  • Examples of classical and statistical probability definitions
  • Probability theorems for beginners—simple problems
  • Simple problems: conditional probability and Bayes' theorem
  • Examples of random experiments that resulted in the Binomial distribution

General Ability Test (GAT)


Grammar and Usage, Vocabulary, Comprehension, and cohesion.

General Knowledge


  • Physical Properties and States of Matter, Weight, Mass, Volume, Archimedes' Principle, Density and Specific Gravity, and Pressure Barometer
  • Object motion, force and momentum, velocity and acceleration, body stability and equilibrium, Newton's Laws of Motion, Parallelogram of Forces, Gravitation, Power and Energy, fundamental concepts of work
  • Heat Effects, State Change and Latent Heat, Temperature and Heat Measurement, Heat Transfer Modes
  • Sound waves and their properties, Light propagation in a rectilinear plane, Simple musical instruments, Reflection and refraction
  • Spherical mirrors and lenses, as well as the human eye
  • Natural and artificial magnets, Earth as a magnet, magnet properties
  • Ohm's Law, conductors and non-conductors, simple electrical circuits, lighting and magnetic effects of current, heating, electrical power measurement


  • Physical and chemical transformations Symbols, Formulae, and Simple Chemical Equations, Elements, Mixtures, and Compounds Chemical Combination Law (excluding problems)
  • Air and water properties
  • Bases, acids, and salts Carbon in various forms
  • Natural and synthetic fertilizers
  • The material used in the manufacture of products such as soap, glass, ink, paper, cement, and paints. Safety Gunpowder and matches
  • Fundamental concepts concerning the structure of the atom, Atomic Equivalent and Molecular Weights, and Valency


General Science

  • The distinction between living and nonliving
  • Cells, protoplasms, and tissues
  • Plant and animal growth and reproduction
  • The human body and its major organs
  • The causes and prevention of common epidemics
  • Food is man's source of energy.
  • Food components, balanced diet
  • The solar system, including meteors and comets, as well as eclipses
  • Eminent scientists' accomplishments


  • A comprehensive survey of Indian history, with a focus on culture and civilization.
  • India's freedom movement
  • An introduction to the Indian constitution and administration.
  • Basic understanding of India's five-year plans
  • Cooperatives, Panchayati raj, and community development
  • Sarvodaya, Bhoodan, national integration, and welfare Mahatma Gandhi's fundamental teachings should be stated.
  • Forces shaping the modern world; Renaissance, exploration, and discovery; American Revolutionary War 
  • The Social Impact of Science and Technology
  • One World concept, United Nations, Panchsheel, democracy, socialism, and communism


  • The earth, its size and shape
  • Longitudes and latitudes, as well as the concept of time
  • International time zone
  • Earth's movements and their consequences
  • Ocean currents and tides, the atmosphere and its composition; temperature and atmospheric pressure, planetary winds, cyclones and anticyclones; humidity; condensation and precipitation; climate types, and the world's major natural regions
  • India's regional geography—climate, natural vegetation
  • Mineral and energy resources; agricultural and industrial activity location and distribution
  • India's major seaports and major sea, land, and air routes
  • India's primary imports and exports

Current Events

  • Knowledge of significant events that have occurred in India in recent years
  • Current major world events
  • Prominent Indian and international personalities, including those involved in cultural and sporting activities
Intelligence and Personality Test (SSB Round)


Stage - 1

Officer Intelligence Rating (OIR) tests such as Picture Perception and Description Test

Stage - 2

Interview, Group Testing Officer Tasks, Psychology Tests, and the Conference


Candidates can refer to NDA exam study materials, concisely covering all important topics. Candidates will save time by not having to refer to multiple books to learn a concept in this manner. They are shortlisted based on the written exam and will be contacted for the SSB interview, which will last 4-5 days. Candidates who pass the SSB round will be invited to take medical tests and have their documents verified.

Frequently Asked Questions (FAQs)

Q1. What are the NDA exam qualifying marks for each subject?

Ans. To qualify for the exam, candidates must get a score of 25% in each subject.

Q2. Is the NDA and CDS General Science syllabi the same?

Ans. No, the NDA and CDS syllabuses are not the same. The majority of the questions in Physics, Chemistry, and Biology from Class 11 and 12 Science subjects are asked in the NDA. Questions from Class 6 and 10 Science books are asked in CDS.

Q3. What is the syllabus for the NDA OIR Test in SSB?

Ans. This test consists primarily of Reasoning questions. Some math questions, such as dice and directions, are asked. Candidates can use the RS Agarwal Reasoning book to practice.

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