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NDA Syllabus 2024, Detailed Syllabus For Mathematics, English and GAT

NDA Syllabus 2024

The UPSC sets the NDA syllabus for the exam, which is conducted twice a year to select candidates for the Army, Navy, and Air Force wings of the National Defence Academy (NDA) and Indian Naval Academy Course (INAC). The NDA syllabus includes two subjects: Maths and General Ability Test (GAT). The Maths syllabus covers topics like Algebra, Calculus, Trigonometry, Geometry, and Statistics. The GAT syllabus covers English, Physics, Chemistry, Social Studies, General Science, Geography, and Current Events. Candidates need to thoroughly understand the NDA syllabus to prepare well for the exam, especially focusing on the GAT section which holds the most importance in the NDA exam.

NDA Syllabus 2024

The NDA exam syllabus is divided into two main sections: Maths and General Ability Test (GAT). In the Maths section, there are 120 questions, and the GAT section consists of 150 questions. The GAT syllabus covers a wide range of subjects including History, General Knowledge, Current Affairs, English, Science, and Geography. On the other hand, the Maths syllabus assesses a candidate’s problem-solving abilities using mathematical concepts from classes 10, 11, and 12. The GAT section holds more weightage with a total of 600 marks compared to 300 marks for Maths. UPSC conducts SSB interviews for candidates who clear the written exam cut-off. Understanding the NDA syllabus helps candidates focus on key topics for effective preparation.

NDA Syllabus Key Points

Candidates should carefully examine the NDA Syllabus and Exam Pattern before beginning their preparation. The official syllabus is mentioned in the NDA Notification 2024. Here’s a brief overview of the Syllabus and exam pattern, offering important guidance for candidates exam preparation.

Parameters Details
Name of the Exam National Defence Academy Exam or NDA exam
Exam Conducting Body Union Public Service Commission, UPSC
Mode of exam Offline (Pen and Paper mode)
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
Official Website upsc.gov.in

NDA Exam Pattern 2024

The NDA exam has two parts: the written test and the SSB interview. After the NDA Cut Off is announced, candidates who qualify move on to the SSB interview. The exam lasts for 5 hours in total in which two and a half hour is allocated for both the sections individually. NDA exam consists of objective-type questions covering various subjects. The NDA Written Exam Pattern is as follows.

Subject Duration Maximum Marks
Mathematics 2½ Hours 300
General Ability Test 2½ Hours 600
SSB Test/Interview 900

NDA Mathematics Pattern 2024

The NDA exam pattern for the Maths consists of 120 questions for the total of 300 marks. For every correct answer the candidate is given +2.5 marks and for every wrong answer 0.3 marks are deducted. Given below is the NDA Maths exam pattern:

Paper I Mathematics
Total Marks 300 Marks
Number of Questions 120 Questions
Marks for every correct answer +2.5
Marks deducted for every wrong answer -0.3
Duration of Exam 2.5 Hours

NDA General Ability Test Pattern 2024

The General Ability Test consists of two papers which are English and GK. The total marks allocated for this section are 600. There are 150 questions asked in the GAT section. Fore every correct answer 4 marks are given and for every wrong answer 1.33 marks are deducted. Below is the exam pattern of the GAT:

Paper II GAT
Total Marks 600
Number of Questions 150
Number of Questions in English 50
Number of Questions in GK 100
Maximum Marks for English 200
Maximum Marks for GK 400
Marks for every correct answer +4 marks in both papers
Marks for every incorrect answer -1.33 marks in both papers
Duration of Exam 2.5 Hours

NDA SSB Interview Pattern 2024

All the candidates who will clear the NDA written exam will move to the next round of selection process which is an SSB Interview. The NDA SSB Interview is given below:

Stage Tests
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), Group Testing Officers Test (GTO), GD, GPE, PG, TH, GT, IoT, Command Task, Snake race/Group Obstacle Race, Individual lecture, FGT
Personal Interview & Conference

NDA Exam Syllabus

Candidates should refer to the NDA syllabus before starting their preparation. The syllabus will guide them on the topics they need to cover for the exam. Some important topics for the NDA exam include:

  • English: Reading Comprehension, Synonyms, Antonyms, Spotting Errors, Vocabulary, Idioms and Phrases, etc.
  • Maths: Matrices and Determinants, Sets, Venn Diagrams, Trigonometry, 2D and 3D Geometry, Differential Calculus, etc.
  • General Knowledge: History, Current Affairs, Art and Culture, Physics, Chemistry, Basic Science, etc.

Mathematics Syllabus (300 Marks)

The Mathematics syllabus covers various topics from algebra, trigonometry, calculus, and analytical geometry. It aims to evaluate candidates understanding of mathematical concepts, their ability to apply them to solve problems, and their speed and accuracy in calculations. Let us look at some most important topics for NDA Syllabus 2024 for Maths-

Topics Subtopics
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 decimal system to binary system and vice versa. Arithmetic, Geometric and Harmonic Progressions. Quadratic equations with real coefficients. Solution of linear equations of two variables by graphs. Permutation and Combination. Binomial theorem and its 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 – Sine, Cosine, Tangent, Cotangent, Secant and Cosecant. Trigonometric identities. Use of trigonometric tables. Simple cases of s and distances.
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 a general form. Standard forms of parabola, ellipse and hyperbola. Eccentricity and axis of a conic.
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 the 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.
Statistics and Probability 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.
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 Binomials distribution.

The Topic wise number of questions from the Maths section is given in the table below:

Topic Questions Range
Probability 10
Complex Number 10-15
Calculus 20-25
Quadratic Equation 20-25
Matrices and Determinant 30
Trigonometry 30

NDA Marking Scheme for Maths

Candidates will receive 2.5 marks for every correct answer in the NDA exam. However, for each incorrect answer, there is a deduction of 0.83 marks as negative marking. Below are details of the marking scheme and number of questions:

Aspect Details
Total Marks 300 Marks
Total Number of Questions 120
Marks for Correct Answer 2.5 marks
Marks Deducted for Wrong Answer -0.83
Total Duration of Mathematics Paper 2 Hours 30 Minutes

Download FREE EBOOK for NDA 2024 Preparation

NDA Syllabus for Paper II

The NDA Paper 2 syllabus includes the General Ability Test (GAT), covering topics like General Knowledge (GK), English, Chemistry, Physics, Geography, General Science, and Current Events. This paper consists of 150 questions: 50 questions from English and 100 questions from General Knowledge. The total marks for this section are 600. This syllabus outlines the subjects and topics candidates need to prepare for the NDA exam.

Aspects Details
Total marks for GAT paper 600 marks
No. of questions 150
Total questions in English 50
Total questions in GK 100
Total Marks for English 200
Total Marks for GK 400
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

English (Maximum Marks: 200)

The English language question paper is crafted to assess candidates comprehension and effective use of English. The syllabus consists Grammar, Vocabulary, Comprehension, and Cohesion. 

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

English Topics For NDA Exam 2024

The NDA syllabus 2024 for English consists of various topics like grammar and its usage, comprehension and expression. Read the table below for the detailed understanding regarding the English topics for the exam.

Topics Subtopics
Grammar and Usage Parts of speech: Noun, Pronoun, Adjective, Verb, Adverb, Conjunction, Preposition, Interjection
Subject-verb agreement
Tenses: Present, Past, Future
Active and passive voice
Coherence and unity: Theme, Idea, Paragraph, Sentence Structure
Vocabulary: Synonyms, Antonyms, One-word substitution, Idioms and Phrases, Words often confused
Comprehension Comprehension of a given passage
Drawing of inferences
Use of vocabulary: Synonyms, Antonyms, One-word substitution, Idioms and Phrases, Words often confused
Expression Simple sentence structure
Punctuation: Comma, Full stop, Question Mark, Exclamation Mark, Apostrophe
Conjunctions: Coordinating, Subordinating
Adverbs and Prepositions
Direct and indirect speech
Comparison: Degrees of comparison
Articles: Definite and Indefinite Articles
Verbs: Auxiliary, Modal, Regular and Irregular verbs
Sentences correction: Spotting Errors, Sentence Improvement

NDA GAT Syllabus (Maximum Marks: 400)

This test will consist of 6 sections. Candidates will have to prepare the basics of all these sections for the UPSC NDA 2024 Exam. The sections are as follows:

NDA GAT Syllabus 2024
Physics
Chemistry
General Science
History
Geography
Current Affairs

The question paper on GAT will broadly cover the subjects: Physics, Chemistry, General Science, Social Studies, Geography and Current Events.

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

Section ‘A’ (Physics)

The questions in the physics section are asked from the topics like Mass, Weight, Volume, Pressure, Newton’s laws of Motion etc. Given below is the complete list of topics from which the questions are been asked in the NDA examination.

Topic Description
Physical Properties and States of Matter Study of properties and different states of matter
Modes of transference of Heat Various methods by which heat can be transferred
Mass Measure of the amount of matter in an object
Sound waves and their properties Characteristics and behavior of sound waves
Weight Measure of the gravitational force acting on an object
Simple musical instruments Overview of basic musical instruments and their functions
Volume Measure of the amount of space occupied by an object
Rectilinear propagation of Light Light traveling in straight lines without deviation
Density and Specific Gravity Measures of mass per unit volume and relative density
Reflection and refraction Phenomena where light changes direction upon interaction
Principle of Archimedes Study of buoyancy and the principle of flotation
Spherical mirrors and Lenses Characteristics and applications of mirrors and lenses
Pressure Barometer Device used for measuring atmospheric pressure
Human Eye Structure and function of the eye
Motion of objects Study of objects in motion
Natural and Artificial Magnets Properties and applications of natural and artificial magnets
Velocity and Acceleration Concepts related to speed and rate of change of speed
Properties of a Magnet Characteristics and behavior of magnets
Newton’s Laws of Motion Fundamental principles governing motion of objects
Earth as a Magnet Earth’s magnetic field and its properties
Force and Momentum Concepts related to force and the motion it produces
Static and Current Electricity Characteristics and behavior of static and current electricity
Parallelogram of Forces Mathematical approach to vector addition of forces
Conductors and Non-conductors Materials that allow or inhibit the flow of electricity
Stability and Equilibrium of bodies Conditions required for a body to remain in a state of rest
Ohm’s Law Relationship between voltage, current, and resistance
Gravitation Study of the force of attraction between objects
Simple Electrical Circuits Basic circuits and their components
Elementary ideas of work Understanding of work and its definition
Heating, Lighting, and Magnetic effects of Current Effects produced by electricity in various scenarios
Power and Energy Concepts related to power and energy
Measurement of Electrical Power Methods of measuring electrical power
Effects of Heat Study of the effects produced by heat
Primary and Secondary Cells Types of electrical cells and their characteristics
Measurement of Temperature and Heat Methods and devices used to measure temperature and heat
Use of X-Rays Applications and principles of X-rays
General Principles in the working of Simple Machines Basic principles governing the operation of simple machines

Section ‘B’ (Chemistry)

The Chemistry segment is the NDA examination consists questions from the topics like Elements, Mixtures and Compounds, Acids, Bases and Salts, Properties of matter etc. Consider the table given below in order to get the glimpse over the topics from which the questions are been asked.

Topic Description
Preparation and Properties of Hydrogen, Oxygen, Nitrogen, and Carbon Dioxide Methods of producing and characteristics of these gases
Oxidation and Reduction Chemical processes involving the gain or loss of electrons
Acids, Bases, and Salts Types of chemical compounds and their reactions
Carbon—different forms Various allotropes of carbon
Physical and Chemical Changes Differentiating between changes in state and chemical reactions
Fertilizers—Natural and Artificial Types and uses of natural and synthetic fertilizers
Elements Basic substances that cannot be broken down further by chemical means
Materials used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and Gunpowder Raw materials and processes for manufacturing various substances
Mixtures and Compounds Differentiating between homogeneous and heterogeneous mixtures
Elementary ideas about the structure of Atom Basic concepts about the atomic structure
Symbols, Formulae, and simple Chemical Equations Representations and basic balancing of chemical reactions
Atomic Equivalent and Molecular Weights Measures of atomic and molecular masses
Law of Chemical Combination (excluding problems) Principles governing the combination of elements
Valency Number of bonds an atom can form with other atoms
Properties of Air and Water Characteristics and behaviors of air and water

Section ‘C’ (General Science)

The General science is the category that consists of the general topics like Growth and Reproduction, basis of life, questions on food and balanced diet etc. All the topics from the General science section in the NDA syllabus are given below:

General Science Syllabus For NDA
  • Difference between the living and non-living.
  • Basis of Life—Cells, Protoplasm’s 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, Freedom Movement etc.)

The Questions in this sections are majorly asked from History like Various movements, Indian constitution, Various plans in india, various revolutions etc. Given below is the list of the complete topics:

History, Freedom Movement etc. Syllabus For NDA
  • 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 question in this section are made from the topics like Origin of earth, latitude and longitudes, rocks, wind, cyclones etc. Check the list of topics given below to get the better understanding about this section.

Geography Syllabus For NDA
  • 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 recent years. Current important world events. Prominent personalities—both Indian and International including those connected with cultural activities and sports.

NOTE: Out of the 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.

Section/Subject
Percentage of Marks
Section A: Physics
25%
Section B: Chemistry
15%
Section C: General Science
10%
Section D: History/Freedom Movements
20%
Section E: Geography
20%
Section F: Current Events
10%

Paper 3: Intelligence and Personality Test

The SSB process comprises two stages: stage I and stage II. Candidates who successfully pass stage I can progress to stage II. Here’s an overview:

Stage Assessment
I Officer Intelligence Rating (OIR)
Picture Perception & Description Test (PP&DT)
II Interview
Group Testing Officer Tasks
Psychology Tests
Conference

NDA SSB Syllabus 2024

NDA SSB Interview consists of two stages:

Stage Description
Screening Test It involves verbal and non-verbal tests along with Picture Perception and Description Test (PPDT).
Psychological Test It consists of Thematic Apperception Test (TAT), Word Association Test (WAT), Situation Reaction Test (SRT), and Self Description Test (SD).
Group Testing Officers Test It includes Group Discussion (GD), Group Planning Exercise (GPE), Progressive Group Task (PGT), Half Group Task (HGT), Individual Obstacles Task (IOT), Command Task, Snake race or Group Obstacle Race, Individual Lecture, and Final Group Task (FGT).
Personal Interview and Conference The final part of Stage 2 involving individual interviews and a conference.

NDA OIR Syllabus 2024

The NDA Syllabus 2024 for the OIR Test is given below:

Verbal Test Non-Verbal Test
Completion of Series Figures
Analogies Shorter and Taller Problems
Blood Relation Locating Hidden Figure
Logical Venn Diagram Figure Matrix
Odd one out Paper Cutting
Jumbled Words Problem on Dice
Classification of Data Problem on Ranks
Coding-Decoding Problem on Cubes
One-word Substitution Interchanging 2 signs
Identification of Letters Visualizing Patterns
Spatial Ability Reconstruction of Test

NDA Syllabus in Hindi

NDA (National Defence Academy) का सिलेबस दो भागों में बाँटा गया है – गणित और सामान्य योग्यता परीक्षण। गणित में भौतिकी, रसायन विज्ञान, और गणित के विभिन्न विषयों पर ध्यान केंद्रित है, जबकि सामान्य योग्यता परीक्षण में अंग्रेजी, सामाजिक अध्ययन, भूगोल, और सामान्य ज्ञान के परीक्षण होते हैं। इसके अलावा, भौतिकी, रसायन विज्ञान, सामान्य विज्ञान, सामाजिक अध्ययन, भूगोल, सामान्य ज्ञान, और अन्य विषयों पर आधारित आगामी परीक्षाओं के लिए तैयारी करने वाले उम्मीदवारों के लिए एनडीए सिलेबस बहुत उपयुक्त है।

What is NDA Qualification?

The basic educational requirements needed to be eligible for applying to the Army, Air Force, or Navy wings of the National Defence Academy (NDA) is given below.

  • For Army: Aspirants must be currently studying in or have passed Class 12 or equivalent from a recognized board.
  • For Air Force & Navy: Candidates must be currently studying in or have passed Class 12 or equivalent with Mathematics and Physics as subjects.

NDA Last Minute Preparation Tips

Cracking the NDA exam in 1 month is challenging but achievable with focused preparation. Start by understanding the exam pattern and syllabus thoroughly.

  • Dedicate daily time for study, covering all subjects—Mathematics, General Ability Test (GAT), and English.
  • Solve previous year papers and take mock tests regularly to improve speed and accuracy.
  • Focus on weak areas and revise regularly.
  • Stay disciplined, motivated and consistent in your efforts to increase your chances of success in the NDA exam within a month.

How to Prepare for NDA Syllabus 2024?

Preparing for the NDA exam efficiently requires effective strategies. Here are some tips to help you:

  • Stay updated with the latest news from national and international sources by regularly reading newspapers and current affairs magazines.
  • Focus on mastering the basic concepts of mathematics, including memorizing formulas and theorems, and revise them daily.
  • Enhance your English vocabulary and grammar skills by reading books, newspapers, and magazines.
  • Thoroughly understand the fundamental concepts of physics before advancing to more complex topics, with a focus on important topics like Ohm’s Law and Motion.
  • Utilize flashcards or sticky notes to memorize essential formulas and reactions in chemistry, concentrating on topics such as Atomic Structure and Chemical Bonding.
  • Refer to NCERT books and other study materials for history and geography, using maps, diagrams, and charts to recall dates, patterns, and concepts.

All the Best!

NDA Syllabus 2024, Detailed Syllabus For Mathematics, English and GAT_3.1

FAQs

Who is eligible for NDA exam?

Only unmarried male and female aspirants aged between 16.5 and 19.5 are eligible to apply for NDA.

Is Maths tough in NDA?

The overall difficulty level of the NDA section is considered to be moderate.

How to apply for the NDA Exam?

Candidates who are interested in the NDA Exam can apply online by visiting the official website- upsconline.nic.in

What is the pattern of the NDA exam?

National Defence Academy (NDA) examination is divided into two parts, written examination of 900 marks and the interview of 900 marks.

Are questions repeated in NDA?

Yes, some NDA English Questions are repeated in the exam. Only questions are changed but concepts remain the same.

When will the NDA exam 1 2024 be conducted?

The NDA 1 exam 2024 will be conducted on 21st April, 2024.

When will the NDA 2 2024 exam take place?

The NDA 2 2024 exam will be conducted on 1st September, 2024.

What are the subjects required for NDA?

Candidates need to have a background in Physics, Chemistry, and Mathematics to be eligible for the NDA exam.

Can I join NDA without Maths?

You can join the Indian Army even if you did not study Mathematics in Class 12. However, there are limitations. If you didn't study Mathematics in Class 12, you can only apply for the Army wing of the NDA. You won't be eligible to apply for the Navy or Air Force wings of the NDA without Mathematics.