• Written By Monica_Kumari
  • Last Modified 25-01-2023

NDA Syllabus 2023: Check Subject-wise Syllabus


NDA Syllabus 2023: The Union Public Service Commission (UPSC) publishes the NDA entrance exam syllabus alongside the official announcement. The UPSC holds the much anticipated National Defence Academy (NDA) exam twice a year in order to enrol qualified male and female applicants into the country’s defence forces.

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To apply for the NDA 1 and 2 exams, candidates must first thoroughly understand the latest NDA syllabus 2023 PDF and exam format. Candidates for the UPSC NDA exam 2023 are chosen through a written exam followed by a SSB test/interview. The NDA 1 Exam will be conducted on April 16, 2023, and the NDA 2 Exam will be held on September 3, 2023. Continue reading this article to know the UPSC NDA syllabus and more.

NDA Syllabus 2023: Exam Overview

Before getting into details of the syllabus of NDA 2023, let us have an overview of the UPSC NDA 2023 exam:

Conducting BodyUnion Public Service Commission (UPSC)
Name of the ExamNational Defence Academy (NDA)
Name of the PostIndian Armed Forces Officer (Army, Navy, and Air Force)
Level of ExamNational-Level
Frequency of ExamTwice a year (NDA I and II)
Papers in NDA ExamMathematics
General Ability Test
Mode of ExamOffline
Qualification12th Passed
Selection ProcessWritten Test, Medical Test, and SSB Interview
Official Websiteupsc.gov.in

NDA Exam Syllabus 2023

The UPSC has mentioned the latest syllabus in the NDA Notification 2023. The NDA written exam consists of two papers as given below:

  1. Paper I: Mathematics
  2. Paper II: General Ability Test (Part A: English and Part B: General Knowledge)

NDA Exam Maths Syllabus

Candidates must understand the fundamental concepts of Mathematics to complete the NDA Maths Syllabus 2023. Candidates can check out the detailed NDA Mathematics syllabus in this article below.

NDA Mathematics Algebra

Check the Algebra syllabus below:

Algebra Syllabus
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—basic properties, modulus, argument, cube roots of unity Binary system of numbers
Conversion of a number in decimal system to binary system and vice-versa 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

The syllabus for the Matrices And Determinants is given in the table below:

Matrices And Determinants Syllabus
Types of matrices Operations on matrices
Determinant of a matrix Basic properties of determinants
Adjoint and inverse of a square matrix Applications-Solution of a system of linear equations in two or three unknowns by Cramer’s Cramer’s by Matrix Method.


Candidates can check the NDA Mathematics Trigonometry syllabus below:

Trigonometry Syllabus
Angles and their measures in degrees and in radians Trigonometrical ratios
Trigonometric identities – Sum and difference formulae Inverse trigonometric functions
Multiple and Sub-multiple angles Applications-Height and distance, properties of triangles.

Analytical Geometry of Two and Three Dimensions

The syllabus for Analytical Geometry of Two and Three Dimensions is given below:

Analytical Geometry of Two and Three Dimensions Syllabus
Rectangular Cartesian Coordinate system Distance formula
Equation of a line in various forms Angle between two lines
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
Point in a three-dimensional 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

The syllabus for Differential Calculus has been provided in the table below:

Differential Calculus Syllabus
Concept of a real-valued function–domain, range, and graph of a function Composite functions, one-to-one, onto, and inverse functions
Notion of limit, Standard limits—examples Continuity of functions—examples
Algebraic operations on continuous functions Derivative of function at a point
Geometrical and physical interpretation of a derivative—applications Derivatives of sum, product and quotient of functions
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 Calculus

The syllabus for Integral Calculus and Differential Calculus is provided below:

Integral Calculus and Differential Calculus Syllabus
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 first order and first-degree differential equations of various types—examples
Application in problems of growth and decay

Vector Algebra

Check Vector Algebra syllabus for NDA Mathematics in the table below:

Vector Algebra Syllabus
Vectors in two and three dimensions Magnitude and direction of a vector
Unit and null vectors 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.


Candidates can find the syllabus for Statistics below:

Statistics Syllabus
Classification of data Frequency distribution, cumulative frequency distribution—examples
Graphical representation—Histogram, Pie Chart, frequency polygon— examples Measures of Central tendency—Mean, median and mode
Variance and standard deviation—determination and comparison Correlation and Regression


Check the syllabus for NDA Mathematics Probability syllabus below:

Probability Syllabus
Random experiment, outcomes and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events Conditional probability
Union and Intersection of events. Complementary, elementary and composite events Bayes’s simple problems
Definition of probability—classical and statistical—examples Random variable as function on a sample space
Elementary theorems on probability—simple problems Binomial distribution, examples of random experiments giving rise to Binominal distribution.

Steps to Practice Unlimited NDA Questions

Access the unlimited NDA & NA questions from Embibe and improve your preparation level. Candidates can follow the below-mentioned steps to take the free practice tests:

  • 1st Step: Visit Embibe’s official website, i.e., embibe.com.
  • 2nd Step: Use the mobile number/email to log in.
  • 3rd Step: Click on the menu bar “Getting into my dream undergraduate college” 
  • 4th Step: Select the Goal “Defence” from the Dropdown and click on “Next”.
  • 5th Step: Search and Select “NDA & NA” on the search bar and click on “Next”.
  • 6th Step: Select the preferred language and click on “Done”.
  • 7th Step: Click “Practice” from the Header Section.
  • 8th Step: Scroll down to the “Subjects” section.
  • 9th Step: Click on any NDA & NA subjects.
  • 10th Step: Scroll down to click on the chapters from the selected subject to begin the practice.

NDA General Ability Test Syllabus

Candidates must have a basic understanding of English, Environmental Studies, and Science and Technology subjects that are addressed in the NDA GAT Syllabus. Check out the topics included in the NDA GAT 2023 syllabus from the table mentioned below:

English languageComprehension
Fill in the blanks
Complete the sentences
Idioms and phrases
Synonyms and antonyms
Active and passive voice
Finding errors
HistoryIndian History: Culture and civilisation
Bhoodan, Sarvodaya, National Integration and Welfare State, Basic Teachings of Mahatma Gandhi
India freedom struggle
Panchayati Raj, Co-operatives, and Community Development
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
Forces shaping the modern world; Renaissance, Exploration, and Discovery
GeographyLandforms of India
Movements of Earth and their effects
Layers of earth
Type of soils
Climate and Atmosphere
Cyclones and Anticyclones
Solar system and universe
Rocks and their classification
PhysicsNatural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet
Spherical mirrors and Lenses, Human Eye
Density and Specific Gravity, Principle of Archimedes, Pressure Barometer
Rectilinear propagation of Light, Reflection and refraction
Static and Current Electricity, conductors and Non-conductors,
Physical Properties and States of Matter, Mass, Weight, Volume,
Heat, Measurement of Temperature and Heat, change of State and Latent Heat, Modes of transference of Heat
Ohm’s Law, Electrical Circuits, Heating, Lighting and Magnetic effects of Current, Measurement of Electrical Power, Primary and Secondary Cells, Use of X-Rays.
Equilibrium of objects
Laws of Motion
Work, power, and energy
ChemistryMixtures and Compounds, Symbols, Formulae and simple Chemical Equations, Law of Chemical Combination
Properties of Air and Water
Fertilizers— Natural and Artificial
The material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches and Gun-Powder
Elementary ideas about the structure of Atom, Atomic Equivalent and Molecular Weights, Valency
Preparation and Properties of Hydrogen
General ScienceBiotic and Abiotic components
Growth and Reproduction in Plants and Animals
Achievements of Eminent Scientists
Common Epidemics, their causes and prevention
Basis of Life—Cells, Proto-plasma, and Tissues
Current EventsKnowledge of Important events that have happened in India in recent years.
Current important world events.
Prominent personalities—both Indian and International, including those connected with cultural activities and sports.

NDA Interview Selection Process 2023

After conducting the NDA examination, the conducting body will call the shortlisted candidates to appear in the Personal Interview round. As per the official notification, the interview is held in Stage 1 and Stage 2. It is mandatory for all the appearing candidates to clear Stage 1 to be called for Stage 2.

Here, we have enlisted the interview round details. Candidates must check the table given below to know more:

  • Stage I comprises Officer Intelligence Rating (OIR) tests, Picture Perception, and Description Test (PP&DT). The candidates will be shortlisted based on their overall performance in OIR Test and PP&DT.
  • Stage II comprises an Interview, Group Testing Officer Tasks, Psychology Tests, and the Conference. These tests are conducted for 4 days. Please go through the table below:
StageType of TestSyllabus
Stage 1Screening TestVerbal and non-verbal tests
Stage 2Psychological TestThematic Apperception Test (TAT)
Word Association Test (WAT)
Situation Reaction Test (SRT)
Self-Description Test (SD)
Stage 2Group Testing Officers TestGD
Command Task
Snake race/Group Obstacle Race
Individual lecture
Stage 2Personal Interview and Conference

Three assessors that will be included are Interviewing Officer, Group Testing Officer, and a Psychologist. There is no separate weightage for each test. These tests are designed to assess the presence or absence of Officer-like qualities and training qualities in a candidate.

FAQs on UPSC NDA Syllabus 2023

Here, we have enlisted some of the frequently asked questions related to the UPSC NDA syllabus 2023.

Q: What is the syllabus of the NDA exam?

Ans: The NDA 2023 syllabus is divided into two papers, 1 (Mathematics) and 2 (General Ability). The detailed syllabus of the NDA exam is provided on this page. Candidates can bookmark this page for reference.

Q: Does the NDA syllabus get revamped every year?

Ans: No. Usually, the Union Public Service Commission does not revamp the NDA syllabus every year. Any further changes will be informed on the portal.

Q: What are the topics in the NDA Maths Syllabus?

Ans: Topics that will be covered in the NDA mathematics syllabus are – Algebra, Matrices, and Determinants, Trigonometry, Analytical Geometry Of Two and Three Dimensions, Differential Calculus, Integral Calculus and Differential Equations, Vector Algebra, and Statistics and Probability.

Q: How many tests are included in the Psychological Test?

Ans: There are four tests in the Psychological Test – Thematic Apperception Test (TAT), Word Association Test (WAT), Situation Reaction Test (SRT), and Self Description Test (SD).

Q: What will be the language of the NDA exam question paper?

Ans: The question paper for the NDA exam will be available in Hindi and English language. Candidates can choose between those two languages while writing the solutions on the answer sheet.

Candidates may also check,

NDA Application FormNDA Admit Card
NDA Answer KeyNDA Result

We hope this article on NDA Syllabus 2023 has provided you with sufficient information on the syllabus.

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