NDA Syllabus 2023 : Subject-wise Topics & Syllabus
NDA Syllabus 2023
Union Public Service Commission (UPSC) prescribes NDA syllabus for the written exam along with the official notification on its website. UPSC conducts the National Defence Academy exam twice a year to recruit suitable male and female candidates for the defence forces of the country. NDA syllabus is divided into two papers-Maths and General Ability Test (GAT). Total of 120 questions are asked from the Maths section and 150 questions are there in the GAT paper.
NDA syllabus is divided into two papers-Maths and General Ability Test (GAT). NDA GAT syllabus aims to test 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. In NDA syllabus, GAT paper holds the maximum weightage. Total marks allotted to GAT paper are 600. The Maths paper carries 300 marks. UPSC conducts the SSB interview for candidates who obtain the cut off 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.
NDA Syllabus 2023 Highlights
| parameters | details |
| Name of the Exam | National Defence Academy Exam or NDA exam |
| Exam Conducting Body | Union Public Service Commission, UPSC |
| Frequency of NDA Exam | Two times a year (NDA 1 & NDA 2) |
| Selection Process | Written Test Intelligence & Personality Test (SSB) |
| 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 |
NDA Syllabus for Paper 1
NDA syllabus for Paper 1 comprises topics and sub-topics from Maths. This paper carries 120 questions of Class 10, 11 and 12 standards. Candidates get 2.5 marks for each correct answer and there is also a negative marking of 0.83 marks for each incorrect answers.
NDA Maths Syllabus 2023
The standard of NDA question paper for the Mathematics section is of Class 11 and 12 levels. Candidates can clear their concepts of Maths by referring to the NCERT books of Class 11 and 12. This section tests the candidate’s calculative skills. Let us know the topic-wise NDA Mathematics syllabus.
| TOPICS | SUB TOPICS |
| Algebra | Sets, Venn diagrams, De Morgan laws, Cartesian product, relation, equivalence relation. Real numbers, Complex numbers, Modulus, Cube roots, Conversion of a number in 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. 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, 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 |
| 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 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 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. |
| 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 in 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. Angle between two lines and 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. |
NDA Syllabus 2023 for Paper 2
NDA syllabus for Paper 2 comprises General Ability Test (GAT) which includes the topics and sub-topics from General Knowledge (GK), English, Chemistry, Physics, Geography, General Science, and Current Events. A total of 150 questions are asked in this paper, out of which 50 questions are from English and the remaining 100 questions are from General Knowledge. The total marks allotted to this section are 600. The basic overview of NDA syllabus for Paper 2 is given below.
| Parameters | Details |
| Total marks allotted 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 |
NDA English Syllabus
The question paper in English is designed to test the candidate’s understanding of English. The syllabus covers topics such as Grammar and Usage, Vocabulary, Comprehension and Cohesion.
NDA Syllabus for GAT
The question paper of GAT covers the subjects that include Physics, Chemistry, Social Studies, General Science, Geography and Current Events. NDA syllabus for GAT is given below.
NDA Exam Pattern 2023
| Subject | Marks | Number of questions | Duration of test |
| Mathematics | 300 | 120 | 2 ½ hours |
| GAT | 600 | 150 | 2 ½ hours |
| Total | 900 | 270 | 5 hours |
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