The Union Public Service Commission (UPSC) conducts the National Defence Academy (NDA) exam 2 times a year. It is conducted to select candidates to join the Indian Army, Navy and Air Force wings of the National Defence Academy (NDA) and Indian Naval Academy Course (INAC). UPSC releases the NDA Syllabus through its official notification. Candidates should check the UPSC NDA Syllabus and exam pattern to understand the subject-wise topics that must be studied to crack the NDA exam. The selection of eligible male and female candidates for the NDA exam will be done based on the written test followed by the SSB Interview.
NDA Syllabus and Exam Pattern 2024
The upcoming NDA 2 exam is to be conducted in offline mode on 1st September 2024. NDA written examination comprises two papers 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, including topics, patterns and marking scheme.
Check the important points of the NDA 2024 Syllabus and Exam Pattern in the table below.
NDA Syllabus 2024- Key Points | |
Name of the Exam | National Defence Academy (NDA) |
Conducting Body | Union Public Service Commission, UPSC |
Frequency Of Exam | Twice in a Year (April & September 2024) |
Selection Process |
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Mode of exam | Offline |
Papers in NDA Exam |
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Marks Segregation |
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Total No. of Questions |
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Negative Marking |
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Exam Duration | 2.5 Hours For Each Paper (5 hours total) |
Language of Question Paper | English & Hindi English Language paper has to be attempted in English. |
NDA 2 Questions Paper 2024 - Click to Check
NDA 2 Answer Key 2024 - Click to Check
NDA Exam Pattern 2024
Before getting into the NDA Syllabus let us have a look at the NDA Exam Pattern and marking scheme. The mathematics paper has 120 questions for 300 marks and the General Ability Test (GAT) will have English and GK Papers of 200 & 400 marks respectively.
NDA Mathematics Exam Pattern
Paper I- Mathematics | |
Total Marks | 300 Marks |
Total No. of Questions | 120 |
Marks awarded for Correct answer | 2.5 marks |
Marks deducted for the wrong answer | -0.83 |
Exam Duration | 2.5 Hours |
General Ability Test Exam Pattern
Paper-II- General Ability Test | |
Total Marks | 600 marks |
Total No. of Questions | 150 |
No. of questions in English Section | 50 |
No. Of questions in the General Knowledge Section | 100 |
Maximum Marks for English | 200 marks |
Maximum Marks for G.K. | 400 marks |
Marks for Correct Answer | 4 marks in both sections |
Marks for Incorrect Answer | -1.33 marks in both sections |
Exam Duration | 2.5 Hours |
UPSC NDA Syllabus 2024
After getting to know the NDA Exam Pattern it is important for the candidates to know the Syllabus of the NDA Exam. The NDA maths covers questions from Algebra, Calculus, Matrices and Determinants, Integral Calculus and Differential Equations, Trigonometry, Vector Algebra, Analytical Geometry Of Two and Three Dimension, Statistics and Probability and the GAT syllabus comprises topics from English, Physics, Chemistry, Social Studies, General Science, Geography, and Current Affairs.. The subject-wise Syllabus is discussed below.
NDA Mathematics Syllabus
The chapters covered for the NDA Maths Syllabus are given in the table below.
Mathematics | |
Topic | Topic-wise Syllabus |
Algebra | Concept of set, operations on sets, Venn diagrams. De Morgan laws, Cartesian product, relation, equivalence relation. Real numbers, Complex numbers, Modulus, Cube roots, Conversion of a number in a Binary system to Decimals, and vice-versa. Arithmetic, Geometric and Harmonic progressions. Quadratic equations, Linear inequations, Permutation and Combination, Binomial theorem, and Logarithms. |
Calculus | Concept of a real-valued function, domain, range, and graph of a function. Composite functions, one-to-one, onto, and inverse functions. The notion of limit, Standard limits, Continuity of functions, algebraic operations on continuous functions. Derivative of function at a point, geometrical and physical interpretation of a derivative-application. Derivatives of sum, product, and quotient of functions, a derivative of a function concerning another function, the derivative of a composite function. Second-order derivatives. Increasing and decreasing functions. Application of derivatives in problems of maxima and minima |
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. |
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 the first order, and first-degree differential equations of various types—examples. Application in problems of growth and decay. |
Trigonometry | Angles and their measures in degrees and radians. Trigonometric ratios. Trigonometric identities Sum and difference formulae. Multiple and Sub-multiple angles. Inverse trigonometric functions. Applications-Height and distance, properties of triangles. |
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. |
Analytical Geometry Of Two and Three Dimension | Rectangular Cartesian Coordinate system. Distance formula. Equation of a line in various forms. The angle between two lines. Distance of a point from a line. Equation of a circle in standard and a general form. Standard forms of parabola, ellipse, and hyperbola. Eccentricity and axis of a conic. Point in a three-dimensional space, the 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. The angle between two lines and the angle between two planes. Equation of a sphere. |
Statistics and Probability | 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. |
The topic-wise question distribution in Maths
Topic | Questions |
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Calculus | 20-25 |
Quadratic equation | 20-15 |
Matrices & Determinants | 30 |
Probability | 10 |
Trigonometry | 30 |
Complex number | 10-15 |
NDA GAT Syllabus 2024
The NDA GAT (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.
NDA English Syllabus
The question paper in English will be designed to test the candidate’s understanding of English. It covers various aspects like : Grammar and usage, vocabulary, comprehension and cohesion in extended text to test the candidate’s proficiency in English. The syllabus covers various topics as given below:
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
The question paper on General Knowledge will broadly cover the subjects: Physics, Chemistry, General Science, Social Studies, Geography and Current Affairs. Check the topic-wise number of questions, mark distribution, and subject-wise syllabus topics.
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 Physics Syllabus
NDA Syllabus For Physics | |
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NDA Chemistry Syllabus
NDA Syllabus For Chemistry |
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NDA General Science Syllabus
NDA Syllabus For General Science | |
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NDA Syllabus for History, Freedom Movement
NDA Syllabus For History | |
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NDA Syllabus for Geography
NDA Syllabus For Geography | |
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Current Events
NDA Syllabus For Current Affairs |
Knowledge of Important events that have happened in India in recent years. Prominent personalities of both Indian and International level Cultural activities and sports activities Current important world events. |
Read NDA Previous Year Question Paper PDFs
NDA SSB Interview
After clearing the written exam of NDA, candidates have to appear for the SSB Interview rounds. The pattern of the NDA Interviews is as mentioned below:
NDA – SSB Interview Pattern | ||
Stage 1 | Screening Test |
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Stage 2 | Psychological Test |
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Group Testing Officers Test |
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Personal Interview & Conference | – |
The various tests of IO, GTO, and Psychological are designed to bring out the presence/absence of Officer Like Qualities and their trainability in a candidate. Accordingly, candidates are Recommended or Not Recommended at the SSB.