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NDA Syllabus
UPSC conducts the National Defence Academy (NDA) Exam every year. The higher officials of the Union Public Service Commission are planning to conduct the exam on the scheduled date.
All the applicants can learn about the NDA Syllabus 2023 for Maths & GAT through this article. Therefore, aspirants who are interested can download the NDA Syllabus 2023 PDF from the direct link provided at the end of this page.
Furthermore, the NDA Syllabus for Maths and GAT enclosed here will assist you in preparing well for the exam.
Now, familiarize yourself with the NDA Syllabus 2023 for Maths and NDA GAT Syllabus by moving to the next sections.
NDA Syllabus 2023- Overview
Check the important points of the NDA 2023 Syllabus and Exam Pattern in the table below.
| NDA Syllabus 2023- Overview | |
| Name of the Exam | National Defence Academy (NDA) |
| Conducting Body | Union Public Service Commission, UPSC |
| Frequency Of Exam | Twice in a Year (April & September 2023) |
| Selection Process | Written Test consisting of Objective Type QuestionsIntelligence & Personality Test (SSB) |
| Mode of exam | Offline |
| Papers in NDA Exam | MathematicsGeneral Ability Test |
| Marks Segregation | Mathematics: 300 MarksGAT: 600 Marks |
| Total No. of Questions | Mathematics: 120GAT: 150 |
| Negative Marking | Mathematics: -0.83GAT: -1.33 marks |
| 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 Exam Pattern 2023
Before getting into the NDA Syllabus let us have a look at the NDA Exam Pattern. The mathematics paper has 120 questions for 300 marks and 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 |
NDA Exam Pattern for SSB Interview
After clearing the written exam of NDA, candidates have to appear for the SSB Interview rounds. The pattern of the NDA Interview is as mentioned below:
| NDA – SSB Interview Pattern | ||
| 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 | GDGPEPGTHGTIoTCommand TaskSnake race/Group Obstacle RaceIndividual lectureFGT | |
| Personal Interview & conference | – | |
NDA Mathematics Syllabus 2023
| Topic | Topic-wise Syllabus |
| 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 inequations of two variables by graphs. Permutation and Combination. Binomial theorem and its applications. Logarithms and their applications. |
| Differential Calculus | 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 equations, solution of first order and first degree differential equations of various types—examples. Application in problems of growth and decay. |
| 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 | 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. |
| Trigonometry | Angles and their measures in degrees and in radians. Trigonometrical ratios. Trigonometric identities Sum and difference formulae. Multiple and Sub-multiple angles. Inverse trigonometric functions. Applications-Height and distance, properties of triangles. |
| Vector Algebra | 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, 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 angle between two planes. Equation of a sphere. |
| Analytical Geometry Of Two and Three Dimension | 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 Binominal distribution. |
| 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 Binominal distribution. |
NDA General Ability Test Syllabus 2023
| Name of the Paper | Total Marks |
| English | 200 marks |
| General Knowledge | 400 marks |
NDA English Syllabus 2023
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.
NDA General Knowledge Syllabus 2023
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. Candidates’ answers are expected to show their knowledge and intelligent understanding of the subject.
| Language | English |
| No. of Pages | 119 |
| PDF Size | 2.9 MB |
| Category | Syllabus |
| Source/Credits | www.upsc.gov.in |
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