# NDA Syllabus 2025: Get Math & General Ability Test Syllabus

NDA 2025 Syllabus comprises Mathematics & General Ability sections. National Defence Academy (NDA) is the Joint Services Academy of the Indian Armed Forces. The UPSC (Union Public Service Commission) conducts a national level exam called as NDA Exam.

Is the syllabus for NDA 2025 sessions 1 & 2 will be the same? Yes, complete information below…

This examination is held for the candidates who want to join Indian Defence Forces (Army, Navy & Air Force). Every year many aspirants come forward to take this exam. NDA Examination will be organized two times a year.

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NDA 2025 session exam for session 1 will be held on 13th April 2025 and for session 2 it will be conducted on 14th September 2025. Here, we have updated the complete information about NDA Syllabus 2025.

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## NDA Syllabus 2025

Before starting NDA preparation, it is very important to introduce yourself to the overall syllabus from where the questions will be raised.

The NDA Exam pattern comprises Mathematics subjects and General Ability. Below we have mentioned the detailed UPSC NDA Syllabus 2025.

## Mathematics Syllabus

The Mathematics paper covers the following chapters and topics:

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

Algebra: Complex numbers – basic properties, modulus, Conversion of a number in decimal system to binary system and vice-versa, Arithmetic, argument, cube roots of unity, Geometric and Harmonic progressions, Solution of linear inequations of two variables by graphs, Representation of real numbers on a line, Binary system of numbers, Binomial theorem and its application, Quadratic equations with real coefficients, Permutation and Combination, Logarithms and their applications.

Differential Calculus: Composite functions, one to one, onto and inverse functions, geometrical and physical interpretation of a derivative – applications, increasing and decreasing functions, Continuity of functions – examples, algebraic operations on continuous functions, Application of derivatives in problems of maxima and minima, Concept of a real valued function – domain, range and graph of a function, Notion of limit, Standard limits – examples, geometrical and physical interpretation of a derivative – applications, Derivative of a function at a point, Derivatives of sum, product and quotient of functions, derivative of a function with respect of another function, derivative of a composite function and Second order derivatives.

Vector Algebra: Vectors in two and three dimensions, scalar multiplication of vector, scalar product or dot product of two-vectors, Applications-work done by a force and moment of a force, and in geometrical problems, magnitude and direction of a vector, Unit and null vectors, addition of vectors, Vector product and cross product of two vectors.

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

Matrices and Determinants: Types of Matrices, Determinant of a matrix, adjoin and inverse of a square matrix, operations on matrices, Applications – Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method, basic  properties of determinant.

Analytical Geometry of two and three dimensions: Distance formula, Equation of a circle in standard and in general form, Ellipse and hyperbola, Angle between two lines, Rectangular Cartesian Coordinate system, Equation of a line in various forms, Standard forms of parabola, 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, Equation of a sphere, Direction Cosines and direction ratios, angle between two lines and angle between two planes.

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

Probability: Outcomes and associated sample space, Binomial distribution, Random experiment, examples of random experiments giving rise to Binominal distribution, events, mutually exclusive and exhaustive events, Bayes’ theorem – simple problems, impossible and certain events, Complementary, elementary and composite events, Union and Intersection of events, Definition of probability – classical and statistical – examples, Conditional probability, 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.

Also Check:

NDA 2025 Exam Pattern

NDA Preparation Tips

NDA Books

## General Ability Syllabus

The general ability section comprises of two parts which are mentioned below:

### Part – A

English: The English syllabus covers the topics like vocabulary, Grammar and usage, comprehension and cohesion in extended text to test the candidate’s proficiency in English.

### Part – B

General Knowledge: The question paper comprises of general knowledge and covers the subjects that include Physics, Chemistry, Social Studies, General Science, Geography and Current Events.

Section A – Physics

Motion of objects, Newton’s Laws of Motion, Force and Momentum, Parallelogram of Forces, Stability and Equilibrium of bodies, Gravitation, elementary ideas of work, Velocity and Acceleration, Power and Energy, Sound waves and their properties, Simple musical instruments, Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightening Conductors, Safety Fuses, Simple Pendulum.

Simple Pulleys, Physical Properties and States of Matter, Mass, Weight, Volume, Density and Specific Gravity, Principle of Archimedes, Pressure Barometer, Effects of Heat, change of State and Latent Heat, Modes of transference of Heat, Rectilinear propagation of Light, Reflection and refraction. Spherical mirrors and Lenses. Human Eye, Static and Current Electricity, Measurement of temperature and heat, conductors and Non-conductors, 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.

Section B – Chemistry

Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon-Di-oxide, Oxidation and Reduction, Material used in the preparation of substances like soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and Gun-Powder, Carbon – different forms, Physical and Chemical changes. Symbols, Formulas and simple Chemical Equations, Law of Chemical Combination (excluding problems). Properties of Air and Water, Acids, bases and salts, Elements, Mixtures and Compounds, Fertilizers – Natural and Artificial, Elementary ideas about the Structure of Atom, Atomic, Equivalent and Molecular Weights, Valency.

Section C – General Science

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

Section D – History

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

Section E – Geography

Origin of Earth, Weathering – Mechanical and Chemical, Earthquakes and volcanoes, Atmosphere and its composition, Temperature and Atmospheric Pressure, Rocks and their classification, Planetary Winds, cyclones and Anti-cyclones, Humidity, Condensation and Precipitation,  Major Natural regions of the World, Important Sea ports and main sea, land and air routes of India. Main items of Imports and Exports of India, Types of Climate, The Earth, its shape and size, Lattitudes and Longitudes, Concept of time, International Date Line, Movements of Earth and their effects, Ocean Currents and Tides, Regional Geography of India – Climate, Natural vegetation. Mineral and Power resources, location and distribution of agricultural and industrial activities.

Section F – Current Events

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

It is not compulsory that the topics mentioned above will surely come in the examination. The question paper does not remain consistent, it changes every year. It may happen that the question paper will consists of the topic not discussed here.

In case of any queries regarding NDA 2025 Syllabus, you may ask us by leaving your queries below.

1. Jyotirmoy das says:

Can a dgree student apply ?

1. Sarvgyan Team says:

Candidates must have passed 12th class and age of the candidate should be between 16.5 to 19.5 years.

2. Numan Raish says:

I’m clearly full filled this NDA application,😊

3. Hari haran says:

Any Suggested books for preparing for NDA

1. Sarvgyan Team says:

You can check books related details here.

4. Jigyasa pawar says:

Hello sir I am jigyasa
I want to know that can girls apply for NDA exam now.

1. Sarvgyan Team says:

Yes girls candidates are also eligible to apply for NDA exam.

5. Aryan nachan says:

Sir, I am from commerce student Kya main NDA ki sab de sakta hu to fir uske liye mujhe mathematics or physics bhi padhna hoga you can help me.

6. Alok ratnani says:

Do all commerce students have the same portion. Ther have to apply for army.
Its not clearly mentioned plz reply us so that it will be easier

1. Sarvgyan Team says:

Applying candidates must have PCM subjects in 12th class.

7. Rajat Chauhan says:

Can I apply for nda ?? I am only one day extra from the age limit

8. vaideki says:

There was an option for non-science students. So, can you please advise why she is not eligible please.

1. Sarvgyan Team says:

Candidates must have passed 10th and 12th class with science (PCM) subjects only.

9. vaideki says:

My daughter is from non-science background. she is in 12th standard studying Humanities from Army Public School and enrolled for the NDA exam. so, please clarify if she needs to attempt even physics, chemistry apart from Maths?

1. Sarvgyan Team says:

No, she is not eligible to apply for NDA 2022.

10. Amit says:

Its having lot of syllabus it cannot cover in 2-3months history should be deleted

11. Lubana Hassan says:

I am a 12th standard girl.can I apply for nda exam 2022.I heard that only male can apply.is it true? Please guide me

1. Sarvgyan Team says:

Yes, female 12th appearing candidates will also be eligible to apply.

I’m studying 12th started (Bipc) my date of birth is 01/12/2003 can I apply for NDA exam 2022

1. Sarvgyan Team says:

Applying candidates must have PCM subjects in 12th class.

13. Anshuman Sahoo says:

Please kindly send me the new syllabus for NDA examination of 2022. It’s my humble request to the team..

14. Ishani says:

Sir, I have studied bio in class 12 and I have also registered in NDA 2021. Do I have to give Maths test ? Or there will be a separate Biology section for medical atudents?

15. Laxmi Priya says:

Sir, I am MEC student. Iam eligible or not for NDA

16. M.Moniksha says:

What is the eligliable for writting the NDA exam?

17. Suyash says:

I have completed my 12th with commerce field so , am i eligible for the exam ?

18. Karan says:

Will reasoning/quantitative amplitude come in nda?

19. soummya ranjan says:

is history and geography questions are 10th level?

20. Maneesh says:

Sir abhi up board ki enter ki marseet nhi aai hai kya me nda ka form bhar sakta hoo abhi

21. Suryan Dixit says:

If one is failed in maths and overall percentage is more than 50% with 61% marks in English so iam eligible for airforce y group??

22. ajay says:

sir abhi mai +2 mai kya NDA K LIYE apply kr skta hu

1. Sarvgyan Team says:

Yes, Appearing candidates can apply For NDA but such candidates must satisfy further Eligibility Norms For NDA.

23. Hino says:

Level mathematics in NDA exam?

24. Akshay says:

How many subjects are there to write NDA ?. Is there only Maths, English and General knowedge. No chemistry, physics and others

25. Aryan says:

From which book should I study for the NDA entrance exam 1 or 2

26. Pankajdhangar says:

Math and GAT

27. Harshit Srivastava says:

Agr mai maths se hi toh kya bio ka portion important h kyq

28. Rupak Kumar Rajesh Thakur says:

HOW MANY SUB IN THESE EXAM,