NDA Syllabus 2023: The Union Public Service Commission (UPSC) has prescribed the syllabus for National Defence Academy (NDA) exam in its official notification. The official announcement to hire 395 applicants into the defence forces has been made on December 21, 2022. The syllabus includes two papers: Mathematics and General Ability Test (GAT). Candidates willing to attempt the written test must first thoroughly understand the latest syllabus and exam format.

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This will help candidates to know the important exam topics. The NDA 1 2023 exam will be conducted on April 16, 2023, while the NDA 2 exam will be held on September 3, 2023. The selection will be done through a written exam followed by an SSB test/interview. Read this article to know the detailed syllabus.

Detailed NDA Syllabus 2023

The UPSC has mentioned the latest syllabus in the NDA Notification 2023. The written exam consists of two papers as given below:

• Paper 1: Mathematics
• Paper 2: General Ability Test (Part A: English and Part B: General Knowledge)

The GAT paper is worth 600 marks in the syllabus, while the Mathematics section carries 300 marks. Before getting into further details, let us have an overview of the UPSC NDA 2023 exam from the below table:

Particulars	Details
Name of the Exam	National Defence Academy (NDA)
Frequency of Exam	Twice a Year (April & September)
Selection Process	– Written Test Consisting of Objective Type Questions – Intelligence & Personality Test (SSB)
Mode of Exam	Offline
Papers in NDA Exam	– Mathematics – General Ability Test
Marks Segregation	– Mathematics: 300 Marks – GAT: 600 Marks
Total No. of Questions	– Mathematics: 120 – GAT: 150
Total Exam Duration	5 hours
Language of Question Paper	English & Hindi English Language paper has to be attempted in English.

NDA Mathematics Exam Pattern

The NDA syllabus for Paper 1 includes Mathematics topics and subtopics. This section evaluates a candidate’s ability to solve mathematical problems using formulas, theorems, and so on. This paper contains 120 questions from Classes 10, 11, and 12. Candidates can check the exam pattern for Paper 1 from the below table:

NDA Mathematics Exam Pattern
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

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NDA Syllabus for Paper 1: Mathematics

Candidates must understand the fundamental concepts of Mathematics to complete the NDA Maths Syllabus 2023. They can check out the detailed Mathematics syllabus below.

NDA Mathematics Algebra

Check the Algebra syllabus below:

Algebra Syllabus
Concept of Sets	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	–

Matrices And Determinants

The syllabus for the Matrices And Determinants is given in the table below:

Matrices And Determinants Syllabus
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 Cramer’s by Matrix Method.

Trigonometry

Candidates can check the NDA Mathematics Trigonometry syllabus below:

Trigonometry Syllabus
Angles and their measures in degrees and in radians	Trigonometrical ratios
Trigonometric identities – Sum and difference formulae	Inverse trigonometric functions
Multiple and Sub-multiple angles	Applications-Height and distance, properties of triangles.

Analytical Geometry of Two and Three Dimensions

The syllabus for Analytical Geometry of Two and Three Dimensions is given below:

Analytical Geometry of Two and Three Dimensions Syllabus
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 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	–

Differential Calculus

The syllabus for Differential Calculus has been provided in the table below:

Differential Calculus Syllabus
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 Calculus

The syllabus for Integral Calculus and Differential Calculus is provided below:

Integral Calculus and Differential Calculus Syllabus
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 solutions of differential equations	Solution of first-order and first-degree differential equations of various types—examples
Application in problems of growth and decay	–

Vector Algebra

Check the Vector Algebra syllabus for NDA Paper 1 in the table below:

Vector Algebra Syllabus
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 or cross product of two vectors	Applications—work done by a force and moment of a force and in geometrical problems.

Statistics

Candidates can find the syllabus for Statistics below:

Statistics Syllabus
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

Check the syllabus for NDA Mathematics Probability syllabus below:

Probability Syllabus
Random experiment, outcomes and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events	Conditional probability
Union and Intersection of events. Complementary, elementary and composite events	Bayes’s simple problems
Definition of probability—classical and statistical—examples	Random variable as function on a sample space
Elementary theorems on probability—simple problems	Binomial distribution, examples of random experiments giving rise to Binominal distribution.

NDA General Ability Test Exam Pattern

The General Ability Test (GAT) is the next paper in the written exam. It aims to test an aspirant’s basic knowledge of General Knowledge (GK), History, Geography, General Science, and Current Events. Check out the detailed exam pattern for Paper 2 from the below table:

NDA General Ability Test Pattern
Total Marks	600
Total No. of Questions	150
No. of Questions in English Section	50
No. of Questions in General knowledge Section	100
Maximum Marks for English	200
Maximum Marks for G.K.	400
Marks for Correct Answer	4
Marks for Incorrect Answer	-1.33
Exam Duration	2.5 Hours

NDA Syllabus for Paper 2: General Ability Test

Candidates must have a basic understanding of English, Environmental Studies, and Science and Technology subjects that are addressed in the NDA GAT Syllabus. Check out the topics included in the GAT 2023 syllabus from the table mentioned below:

Subjects	Topics
English Language	Comprehension Fill in the blanks Complete the sentences Idioms and phrases Synonyms and antonyms Active and passive voice Finding errors
History	Indian History: Culture and civilisation Bhoodan, Sarvodaya, National Integration and Welfare State, Basic Teachings of Mahatma Gandhi India freedom struggle Panchayati Raj, Co-operatives, and Community Development 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 Forces shaping the modern world; Renaissance, Exploration, and Discovery
Geography	Landforms of India Movements of Earth and their effects Layers of earth Type of soils Climate and Atmosphere Rivers Cyclones and Anticyclones Solar system and universe Rocks and their classification
Physics	Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet Spherical mirrors and Lenses, Human Eye Density and Specific Gravity, Principle of Archimedes, Pressure Barometer Rectilinear propagation of Light, Reflection and refraction Static and Current Electricity, conductors and Non-conductors, Physical Properties and States of Matter, Mass, Weight, Volume, Heat, Measurement of Temperature and Heat, change of State and Latent Heat, Modes of transference of Heat Ohm’s Law, Electrical Circuits, Heating, Lighting and Magnetic effects of Current, Measurement of Electrical Power, Primary and Secondary Cells, and Use of X-Rays. Equilibrium of objects Laws of Motion Gravitation Work, power, and energy
Chemistry	Mixtures and Compounds, Symbols, Formulae and simple Chemical Equations, Law of Chemical Combination Properties of Air and Water Fertilizers— Natural and Artificial The material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches and Gun-Powder Elementary ideas about the structure of Atoms, Atomic Equivalent and Molecular Weights, Valency Preparation and Properties of Hydrogen
General Science	Biotic and Abiotic components Growth and Reproduction in Plants and Animals Achievements of Eminent Scientists Common Epidemics, their causes and prevention Basis of Life—Cells, Proto-plasma, and Tissues
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.

NDA Interview and Personality Test

The SSB procedure is divided into two stages. Only those who pass the written exam are eligible to participate in the SSB round. The following are details of the SSB exam:

• Stage 1 comprises Officer Intelligence Rating (OIR) tests, Picture Perception, and Description Tests (PP&DT). The candidates will be shortlisted based on their overall performance in OIR Test and PP&DT.
• Stage 2 comprises an Interview, Group Testing Officer Tasks, Psychology Tests, and the Conference. These tests are conducted for 4 days.

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FAQs on UPSC NDA Syllabus 2023

Here, we have enlisted some of the frequently asked questions related to the UPSC NDA syllabus 2023.

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