Every year, thousands of Indian youngsters dream of serving their motherland by joining the defence forces. NDA exam is one of the most sought-after competitive exams to fulfil their quest of proving their selfless patriotism for their country. So, what’s the first step to ace the exam? It goes without saying that aspirants need to know about the exam pattern and syllabus well in advance. Therefore, in this blog, we will discuss at length the NDA exam pattern and syllabus to familiarize the NDA aspirants better. So, let’s get started:
The NDA exam is segregated into 2 parts – Written Test and SSB Interview. Go through the below infographic for a hierarchal and section-wise clear-cut idea of the NDA exam weightage.
The infographic shown above is sufficient to give a fair idea of the hierarchal and section-wise mark distribution in the NDA exam.
Check in-depth – NDA 2025: Application (Ongoing), Exam Dates, Syllabus, Preparation Tips and More
NDA Written Test Mark Distribution
Let’s go through the detailed syllabus of all the sections of the Written Test one-by-one comprising an overall weightage of 900 marks.
PAPER-I: MATHEMATICS
(Maximum Marks-300)
- ALGEBRA
Concept of set, operations on sets, Venn diagrams. De Morgan laws, Cartesian product, relation, equivalence relation. 22 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
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. Trigonometrical ratios. Trigonometric identities Sum and difference formulae. Multiple and Sub-multiple angles. Inverse trigonometric functions. Applications-Height and distance, properties of triangles.
- ANALYTICAL GEOMETRY OF TWO AND THREE DIMENSIONS
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, 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
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 EQUATIONS
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 a differential equations, solution of first order and first-degree differential equations of various types—examples. Application in problems of growth and decay.
- VECTOR ALGEBRA
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.
- STATISTICS AND PROBABILITY
Statistics
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.
Probability
Random experiment, outcomes and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events. Union and Intersection of events. Complementary, elementary and composite events. 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. Binomial distribution, examples of random experiments giving rise to Binominal distribution.
Must check – NDA 2025: Physical Fitness Guidelines and Standards
PAPER-II: GENERAL ABILITY TEST
(Maximum Marks—600)
Part ‘A’—ENGLISH (Maximum Marks—200)
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 (Maximum Marks—400)
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. Candidate’s answers are expected to show their knowledge and intelligent understanding of the subject.
Section ‘A’ (Physics) {100 marks}
Physical Properties and States of Matter, Mass, Weight, Volume, Density and Specific Gravity, Principle of Archimedes, Pressure Barometer.
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. 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 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.
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.
Section ‘B’ (Chemistry) {60 marks)
Physical and Chemical changes. Elements, Mixtures and Compounds, Symbols, Formulae and simple Chemical Equations, Law of Chemical Combination (excluding problems). 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. Material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches and Gun- 25 Powder. Elementary ideas about the structure of Atom, Atomic Equivalent and Molecular Weights, Valency.
Section ‘C’ (General Science) {40 marks)
Difference between the living and non-living. Basis of Life—Cells, Protoplasms and Tissues. Growth and Reproduction in Plants and Animals. 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. The Solar System—Meteors and Comets, Eclipses. Achievements of Eminent Scientists.
Section ‘D’ (History, Freedom Movement etc.) {80 marks}
A broad survey of Indian History, with emphasis on Culture and Civilisation. Freedom Movement in India. Elementary study of Indian Constitution and Administration. Elementary knowledge of Five-Year Plans of India. Panchayati Raj, Co-operatives and Community Development. Bhoodan, Sarvodaya, National Integration and Welfare State, Basic Teachings of Mahatma Gandhi.
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.
Section ‘E’ (Geography) {80 marks}
The Earth, its shape and size. Lattitudes and Longitudes, Concept of time. International Date Line. Movements of Earth and their effects. 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. 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.
Section ‘F’ (Current Events) {40 marks}
Knowledge of Important events that have happened in India in the recent years. Current important world events.
Prominent personalities—both Indian and International including those connected with cultural activities and sports.
NOTE: Out of maximum marks assigned to part ‘B’ of this paper, questions on Sections ‘A’, ‘B’, ‘C’, ‘D’, ‘E’ and ‘F’ will carry approximately 25%, 15%, 10%, 20%, 20% and 10% weightages respectively.
Intelligence and Personality Test
The SSB procedure consists of two stage Selection process – stage I and stage II. Only those candidates who clear the stage I are permitted to appear for stage II.
The details are:
(a) Stage I comprises Officer Intelligence Rating (OIR) tests and Picture Perception and Description Test (PP&DT). The candidates will be shortlisted based on combination of performance in OIR Test and PP&DT.
(b) Stage II comprises Interview, Group Testing Officer Tasks, Psychology Tests and the Conference. These tests are conducted over 4 days. The details of these tests are given on the website joinindianarmy.nic.in.
The personality of a candidate is assessed by three different assessors viz. The Interviewing Officer (IO), Group Testing Officer (GTO) and the Psychologist. There is no separate weightage for each test. Marks for Conference are allotted based on the initial performance of the Candidate in the three techniques and decision of the Board. All these have equal weightage.
The various tests of IO, GTO and Psych are designed to bring out the presence/absence of Officer Like Qualities and their trainability in a candidate. Accordingly, candidates are Recommended or Not Recommended at the SSB.
NDA Exam Essentials
MTG’s 100 Percent NDA-NA Previous 5 Years’ Chapterwise Topicwise Solved Papers
This book helps candidates cover 11,000+ MCQs from all subjects such as Mathematics, Physics, Chemistry, General Science, English, Social Science, and Current Affairs in a chapter-wise format. Also, it offers topic-wise analysis of the previous five years’ question papers of the NDA/NA exam. Moreover, it has three practice papers based on the latest exam pattern and consists of solved papers from the NDA/NA 2024 exams. |
|
NDA-NA 10 Previous Years Chapterwise Solved Papers (2015-2024)
It is the ideal book for NDA candidates who want familiarization with the NDA exam questions and their difficulty level. This book helps them become well-versed in the marking scheme and pattern of the NDA exam. It offers chapterwise previous 10 years’ questions to help candidates identify trends and emphasise their efforts on frequently asked topics. Moreover, this book comes with 3 model test papers having comprehensive solutions to simulate exam-like conditions. Also, to nurture conceptual understanding, it comes with hints and explanations for all questions. |
Conclusion
There’s no denying that the NDA exam is one of the toughest competitive exams in India. However, if aspirants are well-versed with the exam pattern and syllabus of the exam, there path to NDA victory becomes much easier.