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UPSC NDA Syllabus 2024 – NDA Mathematics and GAT Syllabus, Download PDF!

PWOnlyIAS June 05, 2024 11:10 2091 0

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UPSC NDA Syllabus 2024 is important for NDA Exam 2024 aspirants. Check out the UPSC NDA Syllabus for Mathematics and UPSC NDA Syllabus for General Ability Test (GAT).

UPSC NDA Syllabus 2024 – NDA Mathematics and GAT Syllabus, Download PDF!

UPSC NDA Syllabus 2024 is very important for candidates preparing for the NDA Exam 2024. UPSC NDA Syllabus is divided into two parts, UPSC NDA Syllabus for Mathematics and UPSC NDA Syllabus for General Ability Test (GAT).

NDA 2 Exam Notification 2024 was released by UPSC on 15th May 2024. The NDA 2 Exam 2024 is to be held on 1st September 2024. The students preparing for the NDA 2 Exam 2024 should know the complete UPSC NDA Syllabus 2024 for better preparation.

Let us have a look at the UPSC NDA Syllabus 2024, including UPSC NDA Syllabus for Mathematics (Paper I) and UPSC NDA Syllabus for GAT (Paper II).

UPSC NDA Syllabus 2024

The UPSC NDA syllabus 2024 covers two main subjects: Mathematics and General Ability Test (GAT). The UPSC NDA Syllabus 2024 for Mathematics (Paper I) section includes topics such as Algebra, Matrices And Determinants, Calculus, Trigonometry, Probability, And Statistics. It assesses the candidate’s numerical ability and problem-solving skills through questions on various mathematical concepts.

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The UPSC NDA Syllabus 2024 for General Ability Test (GAT) is divided into two parts: English and General Knowledge. The English section evaluates grammar, vocabulary, and comprehension skills. The General Knowledge section encompasses subjects like Physics, Chemistry, General Science, History, Geography, and Current Events. This section tests the candidate’s awareness and understanding of various academic and social issues.

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UPSC NDA Exam Pattern 2024

The NDA Exam includes two papers in its written phase. These papers cover Mathematics and the General Ability Test (GAT). The table below outlines the exam pattern for the NDA 2 2024 Written Phase:

NDA 2 2024 Exam Pattern
Paper Subject No. of Questions Marks Time Allotted
Paper 1 Mathematics 120 300 2.5 hours (150 minutes)
Paper 2 General Ability Test (GAT) 150 600 2.5 hours (150 minutes)
Total 270 900 5 hours (300 minutes)

UPSC NDA Syllabus – Mathematics (Paper I)

The UPSC NDA syllabus for Mathematics covers Algebra, Matrices and Determinants, Trigonometry, Analytical Geometry of two and three dimensions, Differential Calculus, Integral Calculus and Differential Equations, Vector Algebra, Statistics, and Probability. It includes both theoretical and problem-solving components, ensuring a comprehensive understanding of each topic.

The table below contains the UPSC NDA Syllabus 2024 for Mathematics, which is the Paper I of the NDA Exam:

UPSC NDA Syllabus – Mathematics (Code No. 01)
Topic Subtopics
1. Algebra
  • Concept of 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, argument, cube roots of unity. 
  • Binary system of numbers. 
  • Conversion of a number in a decimal system to a binary system and vice-versa. 
  • Arithmetic, Geometric and Harmonic progressions. Quadratic equations with real coefficients. 
  • Solution of linear inequalities of two variables by graphs. Permutation and Combination. 
  • Binomial theorem and its applications. 
  • Logarithms and their applications. 
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. 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. 
4. 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. 
5. 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
6. 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. 
7. 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. 
8. Statistics And Probability 1. 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. 

2. 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.

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UPSC NDA Syllabus – General Ability Test (GAT) (Paper II)

The UPSC NDA Syllabus for the General Ability Test (GAT) covers English, General Knowledge, Physics, Chemistry, General Science, History, Geography, Current Events, and Mental Ability. It tests candidates on a broad range of subjects to assess their overall aptitude and knowledge base for entry into the National Defence Academy.

Let us have a look at the UPSC NDA Syllabus for General Ability Test (GAT), which is Paper 2 in the UPSC NDA Exam 2024.

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1. UPSC NDA Syllabus 2024 – GAT English

The table below contains the UPSC NDA Syllabus 2024 for English Part of GAT, which is the Paper II of the NDA Exam:

UPSC NDA Syllabus – General Ability Test (Code No. 02)
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.

2. UPSC NDA Syllabus 2024 – GAT General Knowledge

The table below contains the UPSC NDA Syllabus 2024 for General Knowledge part of GAT, which is the Paper 2 of the NDA Exam:

UPSC NDA Syllabus – General Ability Test (Code No. 02)
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)
  • 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 Nonconductors, 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; Lightning Conductors, Safety Fuses. 
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. Fertilisers—Natural and Artificial. 
  • Material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches and Gun-Powder. 
  • Elementary ideas about the structure of Atom, Atomic Equivalent and Molecular Weights, Valency. 
Section ‘C’ (General Science)
  • Difference between the living and nonliving. 
  • Basis of Life—Cells, Protoplasms and Tissues. 
  • Growth and Reproduction in Plants and Animals. 
  • Elementary knowledge of the 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.)
  • 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 Anticyclones; 
  • 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.

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.

UPSC NDA Syllabus 2024 – Important Topics

The UPSC NDA Syllabus 2024 emphasises critical areas in Mathematics and the General Ability Test (GAT) to evaluate a candidate’s aptitude and knowledge comprehensively. Proficiency in these topics is essential as they form the foundation for advanced concepts and practical applications in military and academic training.

Let us have a look at the important Topics of Mathematics and General Ability Test (GAT) in the UPSC NDA Syllabus 2024.

1. UPSC NDA Syllabus 2024 – Mathematics Important Topics

The table below contains the list of important topics in the UPSC NDA Syllabus 2024 for Mathematics, which is Paper 1 of the UPSC NDA Exam 2024:

UPSC NDA Syllabus Mathematics Important Topics
Algebra
Matrices and Determinants
Trigonometry
Analytical Geometry of Two and Three Dimensions
Differential Calculus
Integral Calculus and Differential Equations
Vector Algebra
Statistics and Probability

2. UPSC NDA Syllabus 2024 – GAT Important Topics

The table below contains the list of important topics in the UPSC NDA Syllabus 2024 for General Ability Test (GAT), which is Paper 2 of the UPSC NDA Exam 2024:

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UPSC NDA Syllabus GAT Important Topicsx
Subject Topics
English Vocabulary, Grammar, Comprehension, and Cohesion in extended text
Physics Mechanics, Properties of Matter, Heat, Light, Sound, Electricity, and Magnetism
Chemistry Elements, Compounds and Mixtures, Physical and Chemical Changes, Atomic Structure, Acids, Bases and Salts, Oxidation and Reduction
General Science Human Body, Food and Nutrition, Diseases and their prevention, Basic Biology
History Indian History, Freedom Movement, Modern World History
Geography Earth and its Origin, Landforms, Climate, Ocean Currents, Indian Geography, Industries
Current Affairs Current Events of National and International Importance
General Knowledge Sports, Awards and Prizes, Books and Authors, Abbreviations, Important National and International Institutions

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UPSC NDA Syllabus FAQs

The UPSC NDA syllabus includes Mathematics (algebra, trigonometry, calculus, etc.) and General Ability Test (English, General Knowledge, Physics, Chemistry, General Science, History, Geography, and Current Events), designed to assess a candidate's intellectual and physical potential.

To qualify for UPSC NDA, candidates must be unmarried male or female, aged 16.5 to 19.5 years, with a 10+2 education. They must pass a written exam, followed by an SSB interview and medical examination.

It is not very easy to crack the NDA Exam in just one month, because the NDA Exam requires comprehensive preparation. The NDA Exam preparation ideally is between six months to to almost one year.

The UPSC NDA Mathematics syllabus covers Algebra, Matrices and Determinants, Trigonometry, Analytical Geometry, Differential Calculus, Integral Calculus and Differential Equations, Vector Algebra, Statistics, and Probability. It includes fundamental concepts and their applications.

The UPSC NDA GAT syllabus includes English (grammar, comprehension, vocabulary), General Knowledge (physics, chemistry, general science, geography, current events, history, freedom movement), and Social Studies.

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UDAAN PRELIMS WALLAH
Comprehensive coverage with a concise format
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UDAAN PRELIMS WALLAH
Comprehensive coverage with a concise format
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Designed as per recent trends of Prelims questions
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