The (National Defence Academy) NDA exam Syllabus is a prestigious and challenging test conducted by the Union Public Service Commission (UPSC) to select candidates for the Indian Armed Forces. The exam consists of two stages: a written test and a Service Selection Board (SSB) interview. The written test includes two papers, Mathematics and General Ability Test (GAT), with a total of 900 marks.

The Mathematics paper carries 300 marks and covers topics from Class 12 syllabus, while the GAT paper carries 600 marks and includes questions from English, General Knowledge, and General Science. The SSB interview is a comprehensive assessment of a candidate’s personality, including psychological tests, group testing, and personal interviews.

The exam is highly competitive, and candidates must prepare thoroughly to succeed. The NDA exam is a crucial step in the selection process for cadets at the National Defence Academy, which trains officers for the Indian Army, Navy, and Air Force

**Understanding the National Defence Academy (NDA) Exam: A Comprehensive Guide**The National Defence Academy (NDA) exam is a highly competitive and prestigious test conducted by the Union Public Service Commission (UPSC) to select candidates for the Indian Armed Forces. The exam is designed to assess the aptitude, knowledge, and potential of aspiring officers to join the Indian Army, Navy, and Air Force. In this comprehensive guide, we will delve into the details of the NDA exam, including its structure, syllabus, and preparation strategies.

**Structure of the NDA Exam**The NDA exam consists of two stages: a written test and a Service Selection Board (SSB) interview. The written test is a multiple-choice question (MCQ) exam that tests a candidate’s knowledge and skills in various subjects. The SSB interview is a comprehensive assessment of a candidate’s personality, including psychological tests, group testing, and personal interviews.

## Written Test

The written test of the NDA exam is divided into two papers:

**Mathematics Paper**: This paper carries 300 marks and is designed to test a candidate’s mathematical skills and knowledge. The paper includes questions from Class 12 syllabus, covering topics such as algebra, geometry, trigonometry, and calculus.**General Ability Test (GAT)**: This paper carries 600 marks and is designed to test a candidate’s general knowledge, English, and general science. The paper includes questions from various subjects, including English, General Knowledge, and General Science.

## Service Selection Board (SSB) Interview

The SSB interview is a comprehensive assessment of a candidate’s personality, including psychological tests, group testing, and personal interviews. The interview is designed to evaluate a candidate’s leadership skills, communication skills, and ability to work under pressure.

## Eligibility Criteria

To be eligible for the NDA exam, candidates must meet the following criteria:

**Age**: Candidates must be between 16.5 and 19.5 years old.**Education**: Candidates must have passed Class 12 from a recognized board or university.**Nationality**: Candidates must be Indian citizens.**Physical Standards**: Candidates must meet the physical standards set by the Indian Armed Forces.

## Preparation Strategies

Preparing for the NDA exam requires a comprehensive approach that includes both academic and non-academic preparation. Here are some strategies to help candidates prepare:

**Academic Preparation**: Candidates should focus on their Class 12 syllabus and practice solving problems in mathematics and science.**General Knowledge**: Candidates should read newspapers, magazines, and books to stay updated on current events and general knowledge.**English**: Candidates should practice reading and writing in English to improve their communication skills.**Psychological Preparation**: Candidates should practice relaxation techniques, such as meditation and yoga, to manage stress and anxiety.**Physical Fitness**: Candidates should maintain a high level of physical fitness through regular exercise and sports.

## Tips for the Written Test

Here are some tips to help candidates perform well in the written test:

**Time Management**: Candidates should manage their time effectively to complete all questions within the allotted time.**Read the Questions Carefully**: Candidates should read each question carefully to avoid misunderstandings.**Eliminate Options**: Candidates should eliminate obviously incorrect options and then choose the best answer.**Practice Mock Tests**: Candidates should practice mock tests to get familiar with the exam pattern and timing.

## Tips for the SSB Interview

Here are some tips to help candidates perform well in the SSB interview:

**Confidence**: Candidates should be confident and assertive during the interview.**Communication Skills**: Candidates should practice their communication skills, including speaking, listening, and writing.**Body Language**: Candidates should maintain good body language, including eye contact and posture.**Problem-Solving**: Candidates should practice solving problems and thinking critically.

## NDA exam syllabus

The NDA (National Defence Academy) exam is conducted by the Union Public Service Commission (UPSC) in India for admission to the Army, Navy, and Air Force wings of the NDA. The exam is held twice a year. The syllabus for the NDA exam is divided into two sections: Mathematics and General Ability Test (GAT).

### Mathematics Syllabus

#### Algebra

- Concept of a set
- 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 and 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
- Trigonometric 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 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 equation
- 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 and 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
- 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 walks and related simple problems

### General Ability Test (GAT) Syllabus

#### Part A: English

- Grammar and usage
- Vocabulary
- Comprehension and cohesion in extended text
- Spotting of errors
- Synonyms and antonyms
- Sentence improvement
- Fill in the blanks
- Cloze test
- Para-jumbles

#### Part B: General Knowledge

**Section A: Physics**- Physical Properties and States of Matter
- Mass, Weight, Volume, Density, 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
- 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
**Section B: Chemistry**- 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 Carbon dioxide
- 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 Gunpowder
- Elementary ideas about the structure of Atom, Atomic, Equivalent and Molecular Weights, Valency
**Section C: General Science**- 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**- 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**- The Earth, its shape and size
- Latitudes 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**- 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

## Conclusion

This syllabus is comprehensive and designed to assess the knowledge and understanding of candidates across various subjects essential for their roles in the defence services. Candidates are advised to go through the detailed topics and prepare accordingly.

The NDA exam is a challenging and competitive test that requires thorough preparation and dedication. By understanding the structure and syllabus of the exam, candidates can develop a comprehensive preparation strategy that includes both academic and non-academic preparation. With the right approach and mindset, candidates can perform well in the written test and SSB interview and join the Indian Armed Forces as officers.

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