Published on : 11/11/22 11:54:39 am
NDA Syllabus 2023: Union Public Service Commission (UPSC) prescribes the NDA syllabus for the written exam along with the official notification on its website. UPSC conducts the National Defence Academy exam twice a year to recruit suitable male and female candidates for the defense forces of the country. Those who are going to appear for the upcoming NDA exam should check the NDA syllabus for Maths, English, and General Knowledge. There are two papers included in NDA syllabus-Mathematics and General Ability Test (GAT). A total of 120 questions are asked from the Maths section and 150 questions are there in the GAT paper.
To start preparing for the NDA exam, candidates must have a complete understanding of the NDA syllabus for Maths and GAT. The NDA syllabus for GAT assesses candidates’ basic knowledge of History, GK, Current Affairs of National and International Events, English, Science, and Geography. On the other hand, the NDA syllabus for Maths carries questions based on the Class 12 curriculum. The GAT paper holds the maximum weightage in the UPSC NDA syllabus. To help in NDA preparation, we have provided the detailed NDA syllabus for Maths and GAT.
Candidates can check below the highlights of NDA syllabus 2023.
| Parameters | Details |
|---|---|
| Name of the Exam | National Defence Academy Exam or NDA exam |
| Exam Conducting Body | Union Public Service Commission, UPSC |
| Frequency of NDA Exam | Two times a year (NDA 1 & NDA 2) |
| Selection Process | Written Test Intelligence & Personality Test (SSB) |
| Mode of exam | Offline (Pen and Paper mode) |
| Total Papers in NDA Exam | MathematicsGeneral Ability Test (GAT) |
| Total Marks for NDA Exam | Total: 900 MarksMathematics: 300 MarksGAT: 600 Marks |
| Total No. of Questions | Mathematics: 120GAT: 150 |
| Negative Marking | Mathematics: -0.83GAT: -1.33 marks |
| Exam Duration | Mathematics: 2 Hours 30 MinutesGAT: 2 Hours 30 Minutes |
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UPSC NDA syllabus comprises topics and sub-topics from two papers-Maths and GAT. Candidates need to be thorough with the syllabus to understand the topics which are considered important for the exam. The level of the NDA syllabus is of Class 10, 11, and 12 standards. With the help of the syllabus, candidates will be able to know the important topics for the exam and plan their studies accordingly. UPSC NDA question paper is framed as per the syllabus. The NDA syllabus comprises the following: #NDA Syllabus 2023
Paper 1 of the NDA syllabus is Mathematics while Paper 2 of the NDA syllabus is GAT. There has been no change in the NDA syllabus.
The standard of NDA question paper for the Mathematics section is of Class 11 and 12 levels. Candidates can clear their concepts of Maths by referring to the NCERT books of Class 11 and 12. This section tests the candidate’s calculative skills. Let us know the topic-wise NDA Mathematics syllabus. #NDA Salary 2023
| Topics | Sub-Topics |
|---|---|
| Algebra | Sets, Venn diagrams, De Morgan laws, Cartesian product, relation, equivalence relation. Real numbers, Complex numbers, Modulus, Cube roots, Conversion of a number in a Binary system to Decimals, and vice-versa. Arithmetic, Geometric and Harmonic progressions. Quadratic equations, Linear inequations, Permutation and Combination, Binomial theorem, and Logarithms. |
| Calculus | Concept of a real-valued function, domain, range, and graph of a function. Composite functions, one-to-one, onto, and inverse functions. The notion of limit, Standard limits, Continuity of functions, and algebraic operations on continuous functions. Derivative of function at a point, geometrical and physical interpretation of a derivative application. Derivatives of sum, product, and quotient of functions, a derivative of a function with respect to another function, a derivative of a composite function. Second-order derivatives. Increasing and decreasing functions. Application of derivatives in problems of maxima and minima |
| 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. |
| 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 differential equations, solution of first order and first-degree differential equations of various types—examples. Application in problems of growth and decay. |
| Trigonometry | Angles and their measures in degrees and in radians. Trigonometric ratios. Trigonometric identities Sum and difference formulae. Multiple and Sub-multiple angles. Inverse trigonometric functions. Applications-Height and distance, properties of triangles. |
| Vector Algebra | Vectors in two and three dimensions, magnitude, and direction of a vector. Unit and null vectors, the 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. |
| Analytical Geometry Of Two and Three Dimension | Rectangular Cartesian Coordinate system, Distance formula, Equation of a line in various forms. The angle between two lines. Distance of a point from a line. Equation of a circle in standard and in a 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. |
| Statistics and Probability | 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 Binomial distribution. |
The topic-wise distribution of questions in the Maths section are given below.
| Topic | Questions |
|---|---|
| Calculus | 20-25 |
| Quadratic equation | 20-15 |
| Matrices & Determinants | 30 |
| Probability | 10 |
| Trigonometry | 30 |
| Complex number | 10-15 |
Candidates will get 2.5 marks for each correct answer and there is also a negative marking of 0.83 marks deducted for each incorrect answer. Candidates can check below the marking scheme as well as the number of questions.
| Total Marks | 300 Marks |
| Total No. of Questions | 120 |
| Correct Answer | 2.5 marks |
| Marks deducted for the wrong answer | – 0.83 |
| Total duration of Mathematics Paper | 2 Hours 30 Minutes |
Candidates can download the official NDA syllabus PDF from this page for free. After downloading the syllabus, can strategize their preparation. Click the link given below to download the NDA syllabus for different subjects.
Get the latest NDA syllabus in PDF format for section-wise preparation for the NDA exam.
The GAT syllabus of NDA is divided into two parts. Part A comprises questions from English while Part B carries questions from General Knowledge. The total marks allotted to this section are 600.
The question paper in English is designed to test the candidate’s understanding of English. The syllabus covers topics such as Grammar and Usage, Vocabulary, Comprehension, and Cohesion.
The question paper of the GAT covers subjects that include Physics, Chemistry, Social Studies, General Science, Geography, and Current Events. The NDA syllabus for GAT is given below.
Around 23-25 questions are asked from Physics. The NDA Physics syllabus is given below.
| Physical Properties and States of Matter | Modes of transference of Heat |
| Mass | Sound waves and their properties |
| Weight | Simple musical instruments |
| Volume | Rectilinear propagation of Light |
| Density and Specific Gravity | Reflection and refraction |
| Principle of Archimedes | Spherical mirrors and Lenses |
| Pressure Barometer | Human Eye |
| Motion of objects | Natural and Artificial Magnets |
| Velocity and Acceleration | Properties of a Magnet |
| Newton’s Laws of Motion | Earth as a Magnet |
| Force and Momentum | Static and Current Electricity |
| Parallelogram of Forces | Conductors and Non-conductors |
| Stability and Equilibrium of bodies | Ohm’s Law |
| Gravitation | Simple Electrical Circuits |
| Elementary ideas of work | Heating, Lighting and Magnetic effects of Current |
| Power and Energy | Measurement of Electrical Power |
| Effects of Heat | Primary and Secondary Cells |
| Measurement of Temperature and Heat | 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; Lightning Conductors, Safety Fuses. |
NDA Chemistry Syllabus is contain topics of Class 12 level. NDA Chemistry syllabus is given below.
| Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon Dioxide, Oxidation and Reduction. Acids, bases and salts. Carbon— different forms | Physical and Chemical Changes |
| Fertilizers—Natural and Artificial | Elements |
| Material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches and Gunpowder | Mixtures and Compounds |
| Elementary ideas about the structure of Atom | Symbols, Formulae and simple Chemical Equation |
| Atomic Equivalent and Molecular Weights | Law of Chemical Combination (excluding problems) |
| Valency | Properties of Air and Water |
NDA syllabus for General Science includes topics that assess the basic knowledge of the candidate on science and environment. NDA General Science syllabus is given below.
| Common Epidemics, their causes and prevention | Difference between the living and non-living |
| Food-Source of Energy for man | Basis of Life—Cells, Protoplasms and Tissues |
| Constituents of food | Growth and Reproduction in Plants and Animals |
| Balanced Diet | Elementary knowledge of Human Body and its important organs |
| The Solar System-Meteors and Comets, Eclipses. Achievements of Eminent Scientists |
NDA History syllabus contains topics on Culture and Civilization, the Freedom Movement in India, American Independence, French Revolution, etc. Check the list of topics included in the UPSC NDA syllabus for History below.
| Forces shaping the modern world; Renaissance | A broad survey of Indian History, with emphasis on Culture and Civilisation |
| Exploration and Discovery; War of American Independence, French Revolution, Industrial Revolution and Russian Revolution | Freedom Movement in India |
| Impact of Science and Technology on Society | Elementary study of Indian Constitution and Administration |
| Concept of one World | Elementary knowledge of Five Year Plans of India |
| United Nations, Panchsheel, Democracy, Socialism and Communism | Panchayati Raj |
| Role of India in the present world | Co-operatives and Community Development |
| A broad survey of Indian History, with emphasis on Culture and Civilisation | Bhoodan, Sarvodaya, National Integration and Welfare State |
| Basic Teachings of Mahatma Gandhi | – #NDA Syllabus 2023 |
NDA Geography Syllabus assess the candidate’s knowledge about earth and its resources and environment.
| The Earth, its shape and size | Ocean Currents and Tides Atmosphere and its composition |
| Latitudes and Longitudes | Temperature and Atmospheric Pressure, Planetary Winds, Cyclones and Anticyclones; Humidity; Condensation and Precipitation |
| Concept of time | Types of Climate |
| International Date Line | Major Natural regions of the World |
| Movements of Earth and their effects | Regional Geography of India—Climate, Natural vegetation. Mineral and Power resources; location and distribution of agricultural and Industrial activities |
| Origin of Earth. Rocks and their classification | Important Sea ports and main sea, land and air routes of India |
| Weathering—Mechanical and Chemical, Earthquakes and Volcanoes | Main items of Imports and Exports of India |
NDA Current Affairs syllabus includes topics based on the latest current affairs events of India as well as the world.
| 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 |
| Current important world events | – |
NDA exam is conducted in two stages: written exam and SSB Interview. The written exam is conducted in two shifts- morning and afternoon. The written exam is divided into two parts: Mathematics and General Ability Test (GAT). The GAT is further divided into Part A-English Test and Part B- General Awareness or General Knowledge Test. Total 150 questions are asked in GAT section and 120 in Mathematics. The question paper will be available in both English and Hindi. The written exam carries a total of 900 marks. The total duration of the written exam is five hours. Candidates qualifying the written exam are called for SSB Interview. Total marks allotted to SSB Interview are 900. The structure of NDA written exam is given below.
| Subject | Marks | Number of questions | Duration of test |
|---|---|---|---|
| Mathematics | 300 | 120 | 2 ½ |
| GAT | 600 | 150 | 2 ½ |
| Total | 900 | 270 | 5 hours |
SSB Interview is conducted in two stages. The details regarding the stages are explained below:
Screening Test that comprises Verbal and non-verbal tests and PPDT
Psychological Test comprises Thematic Apperception Test (TAT), Word Association Test (WAT), Situation Reaction Test (SRT), and Self Description Test (SD). Group Testing Officers Test comprises GD, GPE, PGT, HGT, IOT, Command Task, Snake race/Group Obstacle Race, Individual lecture and FGT. The final phase of stage 2 is Personal Interview & conference.
UPSC prescribes the marking scheme of NDA. As per the marking scheme, candidates will get negative marks of 1/3 for any wrong answer. No marks will be deducted if a question is left unanswered. The marking scheme of each section is given below.
| Written Exams | Marks for the correct answer | Marks incorrect answer |
|---|---|---|
| Mathematics | 2.5 | 0.83 |
| GAT | 4 | 1.33 |
Candidates can refer to the following books for NDA.
| Subjects | Books |
|---|---|
| Mathematics | Mathematics for NDA and NA: National Defence Academy and Naval Academy by RS AggarwalQuantitative aptitude for competitive examinations by RS Aggarwal |
| GAT | History Of Modern India (History) by Bipan ChandraScience and Technology in India (Science and Technology) by Kalpana Rajaram: SpectrumObjective General English for Competitive Exams by S P BakshiManorama Yearbook by Mammen Mathew |
Candidates can follow the NDA preparation tips given below:
Candidates can check below previous year’s NDA exam analysis to understand the difficulty level of the exam.
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