**UPSC** **NDA Syllabus 2024 :** The Indian Armed Forces Joint Services academy is called the National Defence Academy (NDA). Every year, the National Defence Academy Exam is held by the Union Public Service Commission (UPSC) twice a year. One of the most demanding exams in India to take admission to the Defence Forces. Both eligible males and females will be selected for NDA on the basis of the written exam and personality test.

NDA written examination is divided into two papers namely Mathematics and General Ability Test (GAT). The boys and girls who are seeking to apply for NDA 2024 must begin their preparation for the written exam by following the detailed NDA Syllabus 2024 which has been discussed in this article.

**NDA Syllabus 2024 and Exam Pattern For GAT, Maths and English**

**NDA 2024 exam pattern **

According to the NDA exam pattern 2024, there are two papers – Mathematics and General Aptitude Test (GAT) consisting of a total number of 120 questions and 150 questions respectively. The total time duration for each paper of NDA 2024 is 2 hours and 30 minutes.

Papers | Subject | Mark per question | No. of Questions | Maximum marks | Duration |

Paper 1 | Mathematics | 2.5 marks | 120 | 300 | 2 hours 30 minutes |

Paper 2 | GAT | 4 marks | 150 | 600 | 2 hours 30 minutes |

**NDA Exam Mathematics Syllabus **

Mathematics is a Paper 1 having 300 maximum marks. Candidates must understand the fundamental concepts of Mathematics to complete the NDA Maths Syllabus 2023. Candidates must have their basic concepts clear. With a better understanding of the NDA syllabus, students can easily solve the NDA questions in the stipulated time. Candidates can check out the detailed syllabus in the below.

**1. Algebra :**

- Set theory, set operations, and Venn diagrams.
- De Morgan laws, relation, and the Cartesian product of equivalence.
- Real numbers represented on a line.
- Basic characteristics, modulus, argument, and cube roots of unity of complex numbers.
- Binary number system.
- Conversion of a number between the binary and decimal systems.
- Progressions in geometry, harmony, and arithmetic.
- Real-coefficient quadratic equations
- Graph-based solutions to two-variable linear equations.
- Combination and Permutation.
- The binomial theorem and its uses.
- Applications for logarithms.

**2. 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.

**3.Integral Calculus and Differential Equations :**

- Standard integrals using algebraic expressions, and trigonometric, exponential, and hyperbolic functions include integration as the inverse of differentiation, integration by substitution, and integration by parts.
- Applications for evaluating definite integrals include calculating the areas of flat regions bordered by curves.
- Definition of a differential equation’s order and degree, as well as examples of how to construct one.
- Examples include the general and specific solutions to differential equations, as well as the solutions to first-order and first-degree differential equations of various forms.
- application in growth and decay problems.

**4.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.

**5.Analytical Geometry of two and three Dimensions :**

- Cartesian coordinates with a rectangular shape.
- Distance calculation.
- Many variations of a line’s equation and angles between two lines.
- A Point’s separation from a line.
- Circle equation in standard and general form.
- Parabola, ellipse, and hyperbola in their standard forms.
- A conic’s eccentricity and axis.
- Distance between two points at a point in three dimensions.
- Cosines and ratios of directions.
- Equation for two points
- Different equations involve a plane and a line.
- Angles between two planes and two lines.
- Equation for a sphere.

**6.Differential Calculus :**

- Real-valued function concept, including domain, range, and function graph.
- Functions that are composite, one-to-one, onto, and inverse.
- Examples of a limit concept and standard limits.
- Examples and algebraic operations on continuous functions for the concept of function continuity.
- Applications for the geometrical and physical interpretations of a derivative of a function at a point.
- Derivatives of a function with respect to another function, derivatives of the sum, product, and quotient of functions, and derivatives of composite functions.
- Derivatives of the second order.
- Functions for increasing and decreasing.
- Application of derivatives to maxima and minima problems.

**7.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.

**8.Statistics and Probability**

**Statistics**

- Data classification, frequency distribution, and cumulative frequency distribution and their examples.
- The graphical representation includes frequency polygons, histograms, and pie charts and their examples.
- Mean, median, and mode constitute central tendency measures.
- Comparison and determination of variance and standard deviation.
- Correlation and regression.

**Probability**

- Random experiment, events, mutually exclusive and exhaustive events, outcomes and associated sample space, impossible and certain events.
- Intersection and Union of events.
- Elementary, Complementary and composite events.
- Examples and a definition of probability, both classical and statistical.
- Simple problems with basic probability theorems.
- Simple problems include conditional probability and Bayes’ theorem.
- Using a random variable as a sample space function.
- Examples of random experiments that gave rise to the binomial distribution.

**NDA Syllabus 2024 – General Aptitude Test (GAT)**

Candidates must have a basic understanding of English, Environmental Studies, and Science and Technology subjects that are addressed in the NDA GAT Syllabus. The General ability test comprises two papers English and General Knowledge. The English paper consists of 200 Marks while the General Knowledge is of 400 Marks. Check out the topics included in the NDA GAT 2023 syllabus from the table mentioned below:

**English NDA Syllabus :**

- Spotting Errors
- Comprehension
- Selecting Words
- Ordering of Words in a Sentence
- Sentence Improvement
- Antonyms
- Synonyms

**General Knowledge NDA Syllabus :**

- Physical characteristics and states of matter, the Archimedes principle, pressure barometers, and mass, weight, volume, density, and specific gravity.
- Newton’s Laws of Motion, Velocity and Acceleration, Objects’ Motion, Force and Momentum, Parallelogram of Forces, Bodies’ Stability and Equilibrium, Gravitation, Basic Concepts of Work, Power and Energy.
- Effects of Heat, Temperature and Heat Measurement, State Change and Latent Heat, and Heat Transfer Modes.
- Simple musical instruments and their qualities, sound waves. Light propagation, reflection, and refraction along a straight line. Human eye, spherical mirrors, and lenses.
- Earth as a magnet, properties of a magnet, and natural and artificial magnets.
- Electrical power measurement, primary and secondary cells, use of X-rays, conductors and nonconductors, Ohm’s Law, simple electrical circuits, heating, lighting, and magnetic effects of current.
- General Principles for the following tools’ function:
- Simple Pendulums, Simple Pulleys, Siphons, Levers, Balloons, Pumps, Hydrometers, Pressure Cookers, Thermos Flasks, Gramophones, Telephones, Periscopes, Telescopes, Microscopes, Mariner’s Compasses, Lighting Conductors, and Safety Fuses.

**Chemistry NDA Syllabus :**

- 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

**General Science NDA Syllabus :**

- Differences between living things and non-living things.
- Basis of Life: Tissues, Protoplasm, and Cells.
- Plant and animal growth and reproduction.
- Basic knowledge of the human body’s major organs
- The causes and prevention of common epidemics.
- Food: A Human’s source of energy.
- A balanced diet, dietary components.
- The Solar System, comets and meteors, and eclipses.
- Successes of Renowned Scientists.

**History, Freedom Movement NDA Syllabus :**

- Forces shaping the modern world;
- Renaissance
- Exploration and Discovery;
- A broad survey of Indian History, with emphasis on Culture and Civilisation
- Freedom Movement in India
- French Revolution, Industrial Revolution, and Russian Revolution
- War of American Independence,
- 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,
- Panchayati Raj, Democracy, Socialism and Communism
- Role of India in the present world
- Co-operatives and Community Development
- Bhoodan, Sarvodaya,
- National Integration and Welfare State
- Basic Teachings of Mahatma Gandhi

**Geography NDA Syllabus –**

- The size and shape of the Earth. Concept of time, latitudes, and longitudes. International Date Line.
- Earth’s movements and their consequences. Genesis of Earth.
- Classification of rocks; mechanical and chemical weathering; earthquakes and volcanoes.
- Climate types, the world’s major natural regions, ocean currents and tides, atmospheric pressure, temperature, planetary winds, cyclones, and anti-cyclones, humidity, condensation, and precipitation.
- India’s regional geography—Climate, Resources for minerals and energy, Natural Vegetation; the location and distribution of industrial and agricultural activity.
- Important seaports and India’s primary land, sea, and air routes.
- India’s primary imports and exports items.

**Current Events **

- Knowledge of significant current events that have occurred in India in recent years.
- Current important world events.
- Prominent figures of India and around the world, including those involved in sports and cultural activities.

**General Guidelines for the NDA Exam:**

- The papers in all the subjects will consist of objective type questions only.
- The question papers (Test booklets) of Mathematics and Part “B” of General Ability Test will be set bilingually in Hindi as well as English.
- In the question papers, wherever necessary, questions involving the metric system of weights and measures only will be set.
- Candidates must write the papers in their own hand. In no circumstances will they be allowed the help of a scribe to write answers for them.
- The commission has the discretion to fix qualifying marks in any or all the subjects at the examination.
- The candidates are not permitted to use a calculator or mathematical or logarithmic table for answering objective type papers .

**NDA Exam Pattern for SSB Interview :**

After clearing the written exam of NDA, candidates have to appear for the SSB Interview rounds. The pattern of NDA Interview is as mentioned below:

Stage 1 | Screening Test | Verbal and non-verbal tests. PPDT |

Stage 2 | Psychological Test | Thematic Apperception Test (TAT) Word Association Test (WAT) Situation Reaction Test (SRT) Self Description Test (SD) |

Stage 2 | Group Testing Officers Test | GD GPE PGT HGT IoT Command Task Snake race/Group Obstacle Race Individual lecture FGT |

Stage 2 | Personal Interview & conference | – |