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NDA Syllabus 2024, Check GAT and Math Syllabus Download PDF

Union Public Service Commission (UPSC) conducts the NDA Exam for that commission to release the NDA Syllabus along with the notification. The Exam is conducted twice a year to select for the Army, Navy, and Air Force wings of the National Defence Academy (NDA) and Indian Naval Academy Course (INAC). The NDA syllabus comprises the topics and subtopics that candidates need to study for the Exam.

NDA Syllabus 2024

The NDA syllabus is divided into Maths and General Ability Tests (GAT). 120 questions were asked in the Maths section, and 150 were asked in the GAT paper. NDA GAT syllabus tests a candidate’s basic knowledge of History, GK, Current Affairs of National and International Events, English, Science, and Geography. NDA Maths syllabus assesses a candidate’s ability to solve Mathematical problems by applying formulas, theorems, etc. The level of NDA syllabus is of Class 10, 11, and 12 standards.

NDA syllabus and GAT paper hold the maximum weight. The total marks allotted to GAT paper are 600. The Maths paper carries 300 marks. UPSC conducts the SSB interview for candidates who obtain the cutoff marks in the written exam. With the help of the NDA syllabus, candidates can know the important topics for the exam and plan their studies accordingly.  

Name of the Exam National Defence Academy, NDA
Exam Conducting Body Union Public Service Commission, UPSC
Frequency of NDA Exam Two times a year

  • NDA 1
  • NDA 2
Selection Process Written Test consisting of Objective Type Questions Intelligence & Personality Test (SSB)
Mode of exam Offline
Total Papers in NDA Exam
  • Mathematics
  • General Ability Test (GAT)
Total Marks for NDA Exam Total: 900 Marks

  • Mathematics: 300 Marks
  • GAT: 600 Marks
Total No. of Questions
  • Mathematics: 120
  • GAT: 150
Negative Marking
  • Mathematics: -0.83
  • GAT: -1.33 marks
Exam Duration
  • Mathematics: 2 Hours 30 Minutes
  • GAT: 2 Hours 30 Minutes

NDA Syllabus For Paper 1

NDA Paper 1 is written exam consists of 120 questions of Maths of 10+2 level. In this exam, 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. The NDA syllabus for Paper 1 includes Mathematics topics which are provided in detail in the section below.

NDA Syllabus for Paper 1
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

NDA Maths Syllabus 2024

The Mathematics section of the NDA exam holds a significant weightage, comprising Paper 1 with a maximum of 300 marks. Achieving success here demands consistent practice and dedicated efforts. Candidates need to prioritize accuracy and speed to tackle the diverse range of topics within the allocated time. Below is a concise breakdown of the NDA Maths Syllabus :


Topics Description
Set theory Basic principles of sets and their operations.
Venn diagrams Visualization of set relationships.
De Morgan laws Rules governing set complements.
Relations and Cartesian product of equivalence Understanding relationships and combining sets.
Real numbers on a line Representing real numbers visually.
Modulus, argument, and cube roots of complex numbers Properties and operations involving complex numbers.
Binary number system Understanding and converting numbers between binary and decimal systems.
Progressions in geometry Arithmetic and geometric progressions.
Real-coefficient quadratic equations Solutions and properties of quadratic equations with real coefficients.
Graph-based solutions to two-variable linear equations Solving linear equations using graphical methods.
Combination and permutation Counting and arranging elements.
Binomial theorem and its uses Expanding binomials and applications.
Applications for logarithms Practical uses of logarithmic functions.

Matrices and Determinants

Topics Description
Matrix types and operations Basic matrix operations and types.
Characteristics of determinants Understanding determinant properties.
Matrix determinant Calculating determinants of matrices.
Inverse and adjoint of a square matrix Finding inverses and adjoints.
Applications (Cramer’s rule, Matrix method) Solving systems of linear equations using Cramer’s rule and Matrix method.


Topics Description
Angles and their measurements Measurement units and concepts.
Trigonometric ratios Sine, cosine, tangent, etc., and their relationships.
Sum and difference formulas Formulas for the sum and difference of trigonometric identities.
Multiple angles and sub-multiple angles Trigonometric operations involving multiple and sub-multiple angles.
Inverse trigonometric operations Functions like arcsin, arccos, arctan, etc.
Applications (height and distance, triangular properties) Practical applications in geometry.

Analytical Geometry of Two and Three Dimensions

Topics Description
Cartesian coordinates Basics of rectangular coordinates.
Distance calculation Calculating distances between points.
Equations of lines Various forms and properties.
Equations of conic sections (circle, parabola, ellipse, hyperbola) Standard forms and characteristics.
Equations involving planes and lines Relationships between planes and lines in 3D space.
Equations of a sphere Characteristics of spheres.

Differential Calculus

Topics Description
Real-valued functions Concepts of domain, range, and function graphs.
Limits Understanding the limit concept and standard limits.
Continuity and derivatives Operations on continuous functions and derivatives.
Derivatives of composite, one-to-one, and inverse functions Differentiation techniques for various functions.
Derivatives of second order Calculating second-order derivatives.
Applications (maxima and minima) Using derivatives in maxima and minima problems.

Integral Calculus and Differential Equations

Topics Description
Standard integrals (algebraic, trigonometric, exponential) Basic integration techniques.
Integration techniques (substitution, parts) Methods like substitution and integration by parts.
Applications (area under curves, definite integrals) Practical applications of integration.
Differential equations Concepts of order, degree, and constructing differential equations.
Solutions to differential equations General and specific solutions, first-order equations, and various forms.
Applications (growth and decay problems) Real-world applications of differential equations.

Vector Algebra

Topics Description
Vectors in two and three dimensions Properties of vectors, magnitude, and direction.
Vector operations (addition, scalar multiplication) Basic operations on vectors.
Dot and cross products Scalar and vector products of two vectors.
Applications (work done, moments, geometrical problems) Practical applications in physics and geometry.


Topics Description
Data classification Organizing data into categories.
Frequency distribution and cumulative frequency distribution Displaying data distribution.
Graphical representation (frequency polygons, histograms, pie charts) Visualizing data using different charts.
Measures of central tendency (mean, median, mode) Statistical measures representing data center.
Variance and standard deviation Measures of data spread.
Correlation and regression Analyzing relationships and trends in data.


Topics Description
Basics (random experiment, events, sample space) Fundamentals of probability theory.
Events (mutually exclusive, exhaustive, impossible, certain) Different types of events.
Probability rules (intersection, union, complementary) Fundamental probability rules.
Probability theorems (conditional probability, Bayes’ theorem) Advanced probability concepts and theorems.
Random variables Introduction to random variables and their applications.
Binomial distribution Probability distribution for specific experiments.

Question Disturbance for Math’s Subject in given table:-

Topic Questions
Calculus 20-25
Quadratic equation
Matrices & Determinants
Probability 10
Trigonometry 30
Complex number

NDA Syllabus For Paper 2

General Ability Test (GAT) is the next paper in the written exam, which includes the topics like General Knowledge (GK), English, Chemistry, Physics, Geography, General Science, and Current Events. The NDA syllabus for Paper 2 includes 150 questions in total including 50 questions from English and the remaining 100 questions from General Knowledge which includes other subjects and current affairs. The basic overview of the NDA syllabus for Paper 2 is as follows:

NDA Syllabus for Paper 2
Total Marks for GAT Paper 600 marks
Total No. of Questions 150 Questions
Total questions in English 50 Questions
Total Questions in GK 100 Questions
Total Marks for English 200 marks
Total Marks for GK 400 marks
Marks for Correct Answer 4 marks in each section
Marks for Incorrect Answer -1.33 marks in each section
Total Duration of GAT Paper 2 Hours 30 Minutes

NDA English Syllabus 2024

English is the Part A of Paper 2 General Ability Test (GAT) in the written exam of NDA 2024. To increase their scores in the English section, candidates should read newspapers on a daily basis. They should also highlight any difficult or new words and find their definitions to improve their vocabulary and also improve to solve the reading comprehension section questions. The objective of this paper is to evaluate the candidates’ command of the English language and their capacity for formal word usage.

  • Reading Comprehension & cohesion Questions.
  • Cloze Test Questions
  • Spotting the Error Questions.
  • Fill in the Blanks Questions.
  • Synonyms & Antonyms and Vocabulary Questions.
  • Idioms and Phrases Questions.
  • Sentence Arrangement or Para Jumbled Questions.
  • Ordering of words in a Sentence Questions.
  • Sentence Improvement or Sentence Correction Questions.
  • Grammar and their usage type Questions

Question Disturbance for English Subject in given table:-

Topic No. of Questions No. of Marks
Spotting Errors 5 20
Comprehension 6 24
Selecting Words
10 40
Ordering of Words in a Sentence
9 36
Sentence Improvement
10 40
Antonyms 5 20
Synonyms 5 20
Total 50 200

NDA General Knowledge Syllabus 2024

The General Knowledge section, Part B of Paper 2 (General Ability Test), is a crucial component of the NDA 2024 written exam. It encompasses diverse disciplines, including Physics, Chemistry, General Science, Social Studies, Geography, and Current Events. The syllabus is designed to cover a broad spectrum of topics. While the list is not exhaustive, candidates must exhibit a comprehensive understanding of the subjects. Here’s a concise overview of the NDA Syllabus for Paper 2 General Knowledge:

General Knowledge Syllabus for NDA 2024
General Science
Social Studies
Current Events

NDA Physics Syllabus 2024

Topics Description
Physical characteristics Properties of matter and its states.
Archimedes principle Buoyant force and its application.
Newton’s Laws of Motion Principles governing the motion of objects.
Gravitation Law of universal gravitation and its effects.
Work, Power, and Energy Basic concepts and their interrelations.
Heat Effects of heat, temperature, and heat transfer.
Light and Sound Properties of light, reflection, refraction, sound waves, and musical instruments.
Magnetism and Electricity Earth as a magnet, electrical power, conductors, Ohm’s Law, magnetic effects of current.
Simple Machines and Tools Principles and functions of various tools and machines.

NDA Chemistry Syllabus 2024

Topics Description
Chemical and physical changes Characteristics of changes in matter.
Law of Chemical Combination Fundamental principles of chemical combinations.
Elements, Mixtures, and Compounds Basics of substances and their compositions.
Hydrogen, Oxygen, Nitrogen, Carbon Dioxide Preparation, properties, and reactions of gases.
Salts, Bases, and Acids Properties and reactions of common chemicals.
Carbon Varieties Different forms of carbon.
Materials Manufacturing Production of various substances such as soap, glass, ink, and paints.
Atomic Structure and Valency Basics of atomic structure, molecular weights, and valency.

NDA General Science Syllabus 2024

Topics Description
Living and Non-living Things Distinctions between living and non-living entities.
Basis of Life Tissues, protoplasm, and cells.
Human Body Organs Major organs and their functions.
Epidemics and Food Causes and prevention of common epidemics, human dietary components.
Solar System and Scientists The Solar System, comets, meteors, eclipses, and contributions of renowned scientists.

NDA History Syllabus 2024

Topics Description
Indian History Comprehensive examination focusing on culture, civilization, and the Indian Freedom Movement.
Indian Government and Constitution Basic understanding of the Indian government and constitution.
Social and Political Movements Teachings of Mahatma Gandhi, Bhoodan, Sarvodaya, and modern world influences.
World History Renaissance, exploration, and revolutions, including the Industrial Revolution, Russian Revolution, and French Revolution.
Science and Technology Impacts Social effects of science and technology.
Global Concepts and India’s Role United Nations, Panchsheel, Democracy, Socialism, Communism, and India’s role in the modern world.

NDA Geography Syllabus 2024

Topics Description
Earth’s Dimensions and Movements Size, shape, movements, consequences, and genesis of the Earth.
Rocks and Weathering Classification of rocks, weathering processes, earthquakes, and volcanoes.
Climate and Natural Regions Climate types, natural regions, ocean currents, atmospheric phenomena, and India’s regional geography.
India’s Resources and Trade Routes Resources, industrial and agricultural activities, important seaports, and trade routes.

NDA Current Events Syllabus 2024

Topics Description
India and Global Developments Knowledge of significant current events in India and worldwide.
Prominent Figures Recognition of important personalities in sports, culture, and global affairs.

Question Disturbance for General Knowledge Subject in given table:-

Topic No. of Questions No. of Marks
Physics 23 92
Chemistry 16 64
General Science
11 44
History & Freedom Movement
16 64
Geography 17 68
Current Affairs 17 68
Total 100 400

NDA Syllabus 2024 PDF Download

The official NDA Syllabus has been provided below for candidates preparing for the NDA Exam. Only those who succeed in the written exam are eligible for the SSB Interview stage. The applicants will benefit from this article’s thorough explanation of the syllabus and will be one step closer to achieving their objectives.

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NDA Syllabus 2024 FAQs

What is the syllabus for NDA 2024?

NDA (National Defence Academy) exam generally covers two papers - Mathematics and General Ability Test (GAT). The GAT includes sub-sections like English, General Knowledge, Physics, Chemistry, Biology, Geography, History, and Current Affairs.

Is NDA maths tougher than IIT?

The difficulty of the NDA mathematics paper compared to the IIT exam is subjective and depends on individual strengths and weaknesses.

Can I join NDA without maths?

Yes , you are eligible for NDA examination without maths but only for army and not for navy and Airforce.

Can a 10th pass apply for NDA?

No, candidates need to be at least 10+2 (Class 12) pass to be eligible for the NDA exam.

What percentage is required for NDA in 12?

No, To appear in nda exam, you only need to pass 12th board exam with any % of marks.

Can 11th pass students apply for NDA?

No, candidates need to be at least 10+2 (Class 12) pass to be eligible for the NDA exam.

About the Author

I, Sakshi Gupta, am a content writer to empower students aiming for UPSC, PSC, and other competitive exams. My objective is to provide clear, concise, and informative content that caters to your exam preparation needs. I strive to make my content not only informative but also engaging, keeping you motivated throughout your journey!

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