NDA Syllabus 2023, Maths and GAT Syllabus PDF Download

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Safalta Expert Published by: Himani Mehra Updated Wed, 30 Aug 2023 10:13 PM IST

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Looking for details on UPSC NDA syllabus? Get detailed topics-wise syllabus here at Safalta.com.

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NDA Syllabus: The NDA/NA Exam is organized biannually by the Union Public Service Commission. Those with aspirations to take this exam should familiarize themselves with various details pertaining to it, including eligibility prerequisites, examination format, curriculum, compensation, and more. A solid understanding of the NDA syllabus is imperative for aspirants, as it outlines crucial subjects and key topics from which exam questions are drawn. Read this article to know complete NDA syllabus and related details. Check our NDA 2023 Video Course to boost your preparation for NDA II 2023 Exam.

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NDA Syllabus 2023: Overview

The boys and girls who are seeking to apply for NDA 2023 must begin their preparation for the written exam by following the detailed NDA Syllabus 2023 which has been discussed in this article. The table below provides important information about the NDA Exam such as the frequency of the exam, selection process, exam duration and so on.

Name of the Exam	National Defence Academy (NDA)
Conducting Body	Union Public Service Commission, UPSC.
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
Total No. of Questions	Mathematics: 120 GAT: 150
Negative Marking	Mathematics: -0.83 GAT: -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 Syllabus 2023

The written exam of NDA consists of two papers.

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There are a total of 270 questions- 120 for section A, which is mathematics, and 150 for section B, that is, the General Ability section. The boys and girls who are aspiring to appear for NDA (II) 2023 Exam must begin their preparation by understanding the NDA syllabus and preparing their plan accordingly. The detailed syllabus for each of these sections is as follows:

NDA Syllabus for Paper 1

Questions in Paper 1 are asked from Mathematics. The level of questions is that of 10+2. A total of 120 questions are asked. Each question carries 2.5 marks and 0.83 marks are deducted for every incorrect answer. The detailed syllabus for NDA paper II is as follows:

NDA Syllabus for Mathematics

Topic	NDA 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.
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. Trigonometrical ratios. Trigonometric identities Sum and difference formulae. Multiple and Sub-multiple angles. Inverse trigonometric functions. Applications-Height and distance, properties of triangles.
ANALYTICAL GEOMETRY OF TWO AND THREE DIMENSIONS	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
DIFFERENTIAL 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, the 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 equations, solution of 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, 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.
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.

The topic-wise question distribution in Maths

Topic	Questions
Calculus	20-25
Quadratic equation	20-15
Matrices & Determinants	30
Probability	10
Trigonometry	30
Complex number	10-15

NDA Syllabus for Paper II

General Knowledge (GK), English, Chemistry, Physics, Geography, General Science, and Current Events are some of the topics covered in the second paper, the General Ability Test. There are 150 questions in total, 50 of them are from the English language and 100 from general knowledge. Each question is worth four marks, and each incorrect response results in a deduction of 1.33 marks.

NDA Syllabus: English

Sentence Improvement
Reading Comprehension
Synonyms
Antonyms
One Word Substitution
Para-Jumble
Sentence-Jumble
Spot the Error
Cloze Test

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Check how to Prepare English For NDA

NDA Syllabus for General Knowledge

This section broadly covers questions from Physics, Chemistry, General Science, Social Studies, Geography and Current Events. The syllabus for each of these is as follows:

Physics	Physical Properties and States of Matter Modes of transference of Heat Mass, Weight, Volume, Sound waves and their properties Simple musical instruments Rectilinear propagation of Light Density and Specific Gravity Reflection and refraction Principle of Archimedes Spherical mirrors and Lenses Pressure Barometer Human Eye Motion of objects Natural and Artificial Magnets Velocity and Acceleration Properties of a Magnet Newton’s Laws of Motion Earth as a Magnet Force and Momentum Static and Current Electricity Parallelogram of Forces Conductors and Non-conductors Stability and Equilibrium of bodies Ohm’s Law Gravitation Simple Electrical Circuits Elementary ideas of work Heating, Lighting, and Magnetic effects of Current Power and Energy Measurement of Electrical Power Effects of Heat Primary and Secondary Cells Measurement of Temperature and Heat Use of X-Rays General Principles in the working of Simple Pendulum, Simple Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightning Conductors, Safety Fuses. Physical Properties and States of Matter Modes of transference of Heat Mass, Weight, Volume, Sound waves and their properties Simple musical instruments Rectilinear propagation of Light Density and Specific Gravity Reflection and refraction Principle of Archimedes Spherical mirrors and Lenses Pressure Barometer Human Eye Motion of objects Natural and Artificial Magnets Velocity and Acceleration Properties of a Magnet Newton’s Laws of Motion Earth as a Magnet Force and Momentum Static and Current Electricity Parallelogram of Forces Conductors and Non-conductors Stability and Equilibrium of bodies Ohm’s Law Gravitation Simple Electrical Circuits Elementary ideas of work Heating, Lighting, and Magnetic effects of Current Power and Energy Measurement of Electrical Power Effects of Heat Primary and Secondary Cells Measurement of Temperature and Heat Use of X-Rays General Principles in the working of Simple Pendulum, Simple Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightning Conductors, Safety Fuses.
Chemistry	Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon Dioxide, Oxidation and Reduction. Acids, bases and salts. Carbon— different forms Physical and Chemical Changes Fertilizers—Natural and Artificial Elements Material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and Gunpowder Mixtures and Compounds Elementary ideas about the structure of Atom Symbols, Formulae, and simple Chemical Equation Atomic Equivalent and Molecular Weights Law of Chemical Combination (excluding problems) Valency Properties of Air and Water
General Science	Common Epidemics, their causes, and prevention Difference between the living and non-living Food—Source of Energy for man Basis of Life—Cells, Protoplasms, and Tissues Constituents of food Growth and Reproduction in Plants and Animals Balanced Diet Elementary knowledge of the Human Body and its important organs The Solar System—Meteors and Comets, Eclipses. Achievements of Eminent Scientists
History, Freedom Movement etc.	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.
Geography	The Earth, its shape and size. Lattitudes 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.
Current Events	Knowledge of Important events that have happened in India in the recent years. Current important world events. Prominent personalities—both Indian and International including those connected with cultural activities and sports.

To know all about NDA Exam, read the below-linked articles:

NDA Eligibility Criteria	CDS Syllabus	NDA Salary
NDA Study Material	Best Books for NDA	NDA Cut Off

NDA Exam Pattern 2023

After the NDA Syllabus, candidates must be aware of the NDA Exam pattern. There are two sections in NDA Written Exam- Mathematics and General Ability Test. The exam is conducted in offline mode. The detailed exam pattern for NDA is as follows:

Subject	Paper	Total No. Of Questions	Exam Duration	Maximum Marks
Mathematics	1	120	2.5 Hours	300
General Ability Test	2	150	2.5 Hours	600
Total		270	5 Hours	900

Mathematics Paper:

Each right answer will fetch 4 marks, while for the wrong answer 1.33 marks shall be deducted.
The total time duration for this section is 2.5 hours.

Paper I- Mathematics
Total Marks	300 Marks
Total No. of Questions	120

The General Ability Test (GAT) comprises of the following subjects:

General English
General Knowledge
There are 50 questions in the English section.
While the GK section has 100 questions.
Each right answer will fetch 4 marks, while for the wrong answer 1.33 marks shall be deducted.
The time duration for the GAT Section is 2.5 hours.

The distribution of marks for these subjects is as follows:

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 General knowledge Section	100

Also, read the following NDA related blogs:

Which is better NDA or IAS?	How to join NDA after 12th?	Life at NDA
Daily Routine of an NDA Cadet	Are Girls Allowed in NDA?	OLQs for SSB

NDA Exam Pattern: SSB Interview

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	GD GPE PGT HGT IoT Command Task Snake race/Group Obstacle Race Individual lecture FGT
	Personal Interview & conference	–

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General Guidelines for the NDA Exam

The papers in all the subjects will consist of objective type questions only.
The question papers (Test booklets) of Mathematics and Part “B” of General Ability Test will be set bilingually in Hindi as well as English.
In the question papers, wherever necessary, questions involving the metric system of weights and measures only will be set.
Candidates must write the papers in their own hand. In no circumstances will they be allowed the help of a scribe to write answers for them.
The commission has the discretion to fix qualifying marks in any or all the subjects at the examination.
The candidates are not permitted to use a calculator or mathematical or logarithmic table for answering objective type papers (test booklets).

Also Read:

How to Prepare for SSB Interview

SSB Interview Procedure

Makring Scheme of SSB Interview

What are the subjects from which questions are asked in NDA Exam?

The subjects from which questions are asked in NDA Exam are Mathematics, English, Science and Geneal Knowledge.

What is the duration of the NDA Exam?

The duration of the NDA Exam is 5 hours- 2.5 hours for Paper 1 and 2.5 hours for Paper 2.

Is there a negative marking in NDA Exam?

Yes, there is negative marking in NDA Exam- 0.83 marks are deducted for incorrect answers in Paper 1 and 1.33 marks are deducted for each incorrect answer in Paper 2.