NDA (I) Syllabus 2025 (एनडीए I पाठ्यक्रम): As we all are aware of the fact that NDA I Notification 2025 will be released soon which means the students will start gathering up the resources for helpful for NDA 1 preparation.

First things first, NDA I Syllabus will be the first on the checklist of most of the students. So, we decided to help you start with the preparation and will provide National Defence Academy Syllabus to you guys. You can also find NDA I Exam Pattern in detail in the article below.

## NDA 1 Syllabus 2025

The syllabus for National Defence Academy (NDA) Exam is updated regularly. We are here to provide you with the latest and updated NDA Syllabus. The syllabus provided below is up-to-date as needed for the NDA I Exam on 16th April 2025 (Expected). So, you guys do not worry here as we are bearing all the load of gathering up resources required for NDA 1 preparation. The students can find the National Defence Academy Syllabus in the table below:

 Paper I: Mathematics • Algebra • Differential Calculus • Matrices & Determinants • Integral Calculus & Differential Equations • Trigonometry • Vector Algebra • Analytical Geometry of Two & Three Dimensions • Statistics & Probability Paper II: General Ability Test English • Vocabulary • Grammar & Usage • Comprehension • Cohesion General Knowledge • Physics • General Science • Chemistry • Geography • Social Studies • Current EventsPlease note that the table shown above is prepared for quick glance at the syllabus, you can find the full and topic-wise syllabus here.

Mathematics – 300 Marks

Matrices & Determinants

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 rule and by Matrix Method.

Trigonometry

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

Algebra

Permutation and Combination. Binomial theorem and its applications. Logarithms and their applications. Concept of set, operations on sets, Venn diagrams. De Morgan laws, Cartesian product, relation, equivalence relation. Quadratic equations with real coefficients. Solution of linear inequations of two variables by graphs. 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.

Analytical Geometry of Two & Three Dimensions

Rectangular Cartesian Coordinate system. Direction Cosines and direction ratios. Equation two points. Direction Cosines and direction ratios. Distance formula. Equation of a line in various forms. Angle between two lines. Distance of a point from a line.  Eccentricity and axis of a conic. Point in a three dimensional space, distance between two points. Equation of a plane and a line in various forms. Angle between two lines and angle between two planes. Equation of a sphere. Equation of a circle in standard and in general form. Standard forms of parabola, ellipse and hyperbola.

Integral Calculus & Differential Equations

General and particular solution of a differential equations, solution of first order and first degree differential equations of various types—examples. Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expressions, trigonometric, exponential and hyperbolic functions.  Definition of order and degree of a differential equation, formation of a differential equation by examples.  Application in problems of growth and decay. Evaluation of definite integrals—determination of areas of plane regions bounded by curves—applications.

Vector Algebra

Applications—work done by a force and moment of a force and in geometrical problems. 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.

Differential Calculus

Concept of a real valued function–domain, range and graph of a function. Composite functions, one to one, onto and inverse functions.  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. Notion of limit, Standard limits—examples.

Statistics & Probability

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

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

Paper – 2 (GAT)

Part A (English) –  200 Marks

The question paper in English will be designed to test the candidate’s understanding of English and workman like use of words. The syllabus covers various aspects like: Grammar and usage, vocabulary, comprehension and cohesion in extended text to test the candidate’s proficiency in English.

Part B (General Knowledge) – 400 Marks

The question paper on General Knowledge will broadly cover the subjects: Physics, Chemistry, General Science, Social Studies, Geography and Current Events. – The syllabus given below is designed 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.

Physics

Physical Properties and States of Matter, Mass, Weight, Volume, Density and Specific Gravity, Principle of Archimedes, Pressure Barometer. Sound waves and their properties, Simple musical instruments. Rectilinear propagation of Light, Reflection and refraction. Spherical mirrors and Lenses, Human Eye. Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet. Static and Current Electricity, conductors and Nonconductors, Ohm’s Law, Simple Electrical Circuits, Heating, Lighting and Magnetic effects of Current, Measurement of Electrical Power, Primary and Secondary Cells, Use of X-Rays. General Principles in the working of the following: Simple Pendulum, Simple Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightening Conductors, Safety Fuses. The motion of objects, Velocity and Acceleration, Newton’s Laws of Motion, Force and Momentum, Parallelogram of Forces, Stability and Equilibrium of bodies, Gravitation, elementary ideas of work, Power and Energy. Effects of Heat, Measurement of Temperature and Heat, change of State and Latent Heat, Modes of transference of Heat.

General Science

Difference between the living and non-living. Basis of Life—Cells, Protoplasms and Tissues. Elementary knowledge of Human Body and its important organs. Common Epidemics, their causes and prevention. Food—Source of Energy for man. Constituents of food, Balanced Diet. Growth and Reproduction in Plants and Animals. The Solar System—Meteors and Comets, Eclipses. Achievements of Eminent Scientists.

Current Events

Prominent personalities—both Indian and International including those connected with cultural activities and sports. Knowledge of Important events that have happened in India in the recent years. Current important world events.

Chemistry

Properties of Air and Water. Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbondioxide, Oxidation and Reduction. Acids, bases and salts. Carbon—different forms. Fertilizers—Natural and Artificial. Physical and Chemical changes. Elements, Mixtures and Compounds, Symbols, Formulae and simple Chemical Equations, Law of Chemical Combination (excluding problems). 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.

History, Freedom Movement etc.

A broad survey of Indian History, with emphasis on Culture and Civilisation. Freedom Movement in India.  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. Elementary knowledge of Five Year Plans of India. Panchayati Raj, Co-operatives and Community Development. Elementary study of Indian Constitution and Administration.  Bhoodan, Sarvodaya, National Integration and Welfare State, Basic Teachings of Mahatma Gandhi.

Geography

Origin of Earth. Rocks and their classification; Weathering—Mechanical and Chemical, Earthquakes and Volcanoes. Ocean Currents and Tides Atmosphere and its composition; Temperature and Atmospheric Pressure, Planetary Winds, Cyclones and Anti-cyclones, Humidity, Condensation and Precipitation; Types of Climate, Major Natural regions of the World. Regional Geography of India—Climate, Natural vegetation. The Earth, its shape and size. Lattitudes and Longitudes, Concept of time. International Date Line. Movements of Earth and their effects. 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.

## NDA 1 Exam Pattern 2025

The NDA I Exam is scheduled to be conducted on 16th April 2025 this year. The National Defence Academy (I) Examination will consist of two sections, Written Test and Intelligence & Personality Test. Only those candidates who clear the Written Test will be permitted to appear for Intelligence & Personality Test in NDA I Exam 2025. The SSB Interview will be after the NDA (I) Exam Result is out for the Written Test. The applicants can check here the NDA 1 Exam Pattern to perform better in the examination.

### Section-1: NDA Written Test

The Written Test of the National Defence Academy (NDA) entrance examination will further consist of two sections, Mathematics and General Ability Test. Mathematics will be of 300 marks and General Ability Test will be of 600 marks.

The subjects of the written examination, the time allowed and the maximum marks allotted to each subject will be as follows.

NDA (I) Exam – Written Test
Subject Code Duration Maximum Marks
Mathematics 01 2.5 Hours 300
General Ability Test 02 2.5 Hours 600
Total 900
SSB Test/Interview: 900
Grand Total 1800

The papers in all the subjects will consist of objective type questions only. The question papers of Mathematics and Part-B of the General Ability Test will be set bilingually in Hindi as well as English.

NOTE: There will be negative marking for every wrong answer marked by the candidate. One-Third (0.33) of the marks assigned to that question will be deducted as a penalty.

Let’s see Section-1 of the exam for National Defence Academy (NDA) 2025 in detail:

 Code Subject No. of Questions Marks for each Correct Answer Negative Marks for Incorrect Answer 01 Mathematics 120 2.5 -0.83 02 General Ability Test – English 50 4 -1.33 General Knowledge 100 4 -1.33

#### Section-2: NDA Intelligence & Personality Test

This section of the National Defence Academy (NDA) entrance examination will consist of two stages, Stage-I and Stage-II. Only those candidates who clear the Stage-I will be permitted to appear for Stage-II in NDA Entrance Exam.

(A.) Stage-I comprises of Officer Intelligence Rating (OIR) test, this test also includes Picture Perception & Description Test (PP&DT). The candidates will be shortlisted on the basis of the combination of performance in OIR and PP&DT.

(B.) Stage-II comprises of Interview, Group Testing Officer (GTO) tasks, psychology tests and the conference. These tests will be conducted over 4 days. You can know more about these tests on the official website www.joinindianarmy.nic.in.

NDA Previous Year Question Papers

Check NDA I 2025 Eligibility

NDA (I) 2025 Syllabus

##### NDA 2025 Question Paper Pattern

Talking about NDA Question Paper, it will contain a total of 270 questions. There will be two sections, namely Mathematics & General Ability Test (GAT). The Mathematics section will contain 120 questions carrying 2.5 marks each and GAT section will contain 150 questions carrying 4 marks each, out of which 50 questions will be covering English and the rest 100 questions will check the general knowledge of the candidate.

Please note that there will be negative marking for every wrong answer marked by a candidate. Mark(s) deducted will be one-third of the mark(s) allotted to that question.

About NDA: UPSC NDA & NA entrance exam is conducted for recruitment to the Indian Armed Forces. These exams are held twice in a year. The candidates selected train together to work in the Army, Navy and Air Force. The candidates are offered a Bachelor’s degree in Technology. Post graduation, candidates are able to join the Technical and Executive branches in the Navy.

NDA Previous Year Papers || NDA 2025 Sample Papers || NDA 2025 Application Fee

###### www.upsc.gov.in nda syllabus 2025 faq

What is the syllabus for upsc nda 2025 exam?

The NDA exam syllabus 2025 involves basic questions from aptitude & mathematics.

What is the process of knowing nda exam pattern 2025?

All eligible aspirants of upsc nda exam are advised to follow our website.

Is there any change in upsc nda 1 exam syllabus 2025?

Right now there are no updates on changes in nda syllabus.