NDA Exam Syllabus - Maths and General Ability Test PDF Download
The Union Public Service Commission had released the application for NDA 1 Examination 2023 on December 22, 2023. The aspiring candidates must be familiar with the latest NDA Syllabus before preparing for the examination. The examination dates for NDA 2023 have also been released by the Commission - April 10, 2023. However, the dates are subject to change due to the ongoing pandemic situation.
Since there are hardly a few days left for the main examination, candidates can kick start their preparation soon. They can refer to the NDA Exam Pattern and syllabus provided in this article.
NDA Exam Syllabus - Maths and General Ability Test Free PDF Download
The National Defense Academy Examination is conducted every year by the Union Public Service Commission. The exam is held to recruit several candidates in the National Defense Academy under several categories including the Indian Air Force, Indian Navy and Indian Army. Since the level of competition remains tough, a deep knowledge of the syllabus and marks distribution of the NDA Examination is very important.
We at Vedantu, have provided detailed information about the NDA Exam Pattern and syllabus. Through this article, we aim to help the candidates understand the NDA exam process and subject-wise marks distribution for better preparation. Aspirants can download the free PDFs of NDA Syllabus 2023 Mathematics and General Ability here.
NDA Exam Pattern 2023
UPSC has categorized the NDA selection process in two stages: written exam and SSB interview.
It is important for the candidates to pass the written exam to be eligible for the interview. The written exam for NDA is again conducted for 2 categories, i.e., Mathematics and General Ability. Refer to the table below for a better understanding of the exam pattern.
2023 NDA Exam Pattern
NDA Exam 2023
Union Public Service Commission
NDA Exam Papers
General Ability (Paper-II)
Total number of questions
2 hours 50 minutes
Type of Questions
Multiple Choice Questions (MCQs)
Medium of Examination
English & Hindi
NDA Exam 2023 Marking Scheme
The NDA examination mainly covers questions from 10+2 level. Hence, candidates must know the basic concepts of all the subjects. According to the NDA Marking Scheme 2023, there is a negative marking for every wrong attempt question. Therefore, candidates are advised to choose their answers wisely.
Marking pattern for Mathematics category: 0.83 marks are deducted for each wrong answer and 2.5 marks are added for each correct answer. There is no negative marking for unattempted answers.
NDA Exam Pattern General Ability
The NDA General Ability paper is conducted for 600 marks including 150 questions. 1.33 marks are deducted for each wrong answer and 4 marks are added for each correctly attempted answer. There is no negative marking for unattempted answers. The General Ability Test (GAT) comprises two parts: English (Part A) and General Awareness (Part B)
Given Below Are the 6 Subjects Included Under NDA General Awareness Paper:
The table below gives a subject-wise mark distribution of the NDA General Ability exam.
NDA General Ability Exam Subject-Wise Mark Distribution
General Ability Test (GAT)
GAT topic-wise questions distribution
Distribution of Questions in English
Total Number of Questions
Order of Words in a Sentence
Distribution of Questions in General Knowledge
Total Number of Questions
History and Freedom Movement
Distribution of Questions in Maths
Total Number of Questions
Matrices and Determinants
NDA Syllabus - General Ability
The syllabus for National Defense Academy Examination is prescribed by the Union Public Service Commission. It is released every year on their official website along with the exam notification.
Topics Included Adjective Degree Of Comparison Rules
List of Synonyms and Antonyms
List of One Word Substitutions
List of Homophones/Homonyms
Candidates are advised to be very thorough with their grammar and vocabulary to score well in this section. They can find the important questions for the NDA 2023 Exam on the official website of Vedantu. Solving these questions on a regular basis will help the aspirants to gain a clearer concept of each subject.
NDA Syllabus 2023 - General Awareness
Candidates often find it difficult to prepare for the General Awareness category due to its vast syllabus. Therefore, it is very important for them to segregate the entire syllabus before starting with the preparation. By doing so, they will be familiar with their weaknesses and focus more on those areas.
Given below are the syllabus for each subject included under the General Awareness section.
NDA Syllabus for Physics
Syllabus for Physics
Static and Current Electricity
Newton’s Laws of Motion
Earth as a Magnet
Force and Momentum
Spherical mirrors and Lenses
Reflection and refraction
Principle of Archimedes
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
Parallelogram of Forces
Conductors and Non-conductors
Stability and Equilibrium of bodies
Simple Electrical Circuits
Elementary ideas of work
Motion of objects
Natural and Artificial Magnets
Velocity and Acceleration
Properties of a Magnet
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.
NDA Syllabus for Chemistry
Chemistry Topics for NDA Exam 2023
Physical and Chemical Changes
Acids, bases and salts
Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon Dioxide, Oxidation and Reduction
Elementary ideas about the structure of Atom
Symbols, Formulae and simple Chemical Equations
Atomic Equivalent and Molecular Weights
Mixtures and Compounds
Law of Chemical Combination (excluding problems)
Properties of Air and Water
Material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches and Gunpowder
Fertilizers — Natural and Artificial
NDA Syllabus for History
Syllabus for History
Forces shaping the modern world;
Exploration and Discovery;
A broad survey of Indian History, with emphasis on Culture and Civilisation
Freedom Movement in India
French Revolution, Industrial Revolution and Russian Revolution
War of American Independence,
Impact of Science and Technology on Society
Elementary study of Indian Constitution and Administration
Concept of one World
Elementary knowledge of Five Year Plans of India
Panchayati Raj, Democracy, Socialism and Communism
Role of India in the present world
Co-operatives and Community Development
National Integration and Welfare State
Basic Teachings of Mahatma Gandhi
NDA Syllabus for Geography
Syllabus for Geography
Topics Included Under Geography
The Earth, its shape and size
Ocean Currents and Tides Atmosphere and its composition
Latitudes and Longitudes
Temperature and Atmospheric Pressure, Planetary Winds, Cyclones and Anticyclones; Humidity; Condensation and Precipitation
Concept of time
Types of Climate
International Date Line
Major Natural Regions of the World
Movements of Earth and their effects
Regional Geography of India
Climate, Natural vegetation. Mineral and Power resources;
Location and distribution of agricultural and Industrial activities
Origin of Earth. Rocks and their classification
Important Sea ports and main sea, land and air routes of India
Weathering—Mechanical and Chemical, Earthquakes and Volcanoes
Main items of Imports and Exports of India.
Syllabus for General Science
The general science syllabus for NDA General Awareness section includes the following topics:
Common Epidemics, their causes and prevention
Difference between the living and nonliving
Food—Source of Energy for man
Basis of Life—Cells, Protoplasms and Tissues
Constituents of food
Growth and Reproduction in Plants and Animals
Elementary knowledge of Human Body and its important organs
The Solar System—Meteors and Comets, Eclipses. Achievements of Eminent Scientists.
The questions in the General Science section mostly cover the Class 9 to Class 12 levels. It mainly tests the basic concepts of the candidates regarding the subject. Therefore, regular revision of the NCERT textbooks will help them score higher marks.
Syllabus for Current Events
For the current events category, students must be aware of the latest happenings in the world. These may include sports, economics, politics, national and international events. Reading the daily newspapers, listening to current affairs and news channels will help you know the latest updates of the world.
NDA Syllabus 2023 Mathematics
The NDA Mathematics paper mainly includes questions from 10+2 level and tests the basic concepts of the candidates. Therefore, it is very important for the candidates to prepare each topic thoroughly.
Although the subject Mathematics is considered tough by many aspirants, a proper analysis of the syllabus will help them understand the exam pattern.
The table below gives a detailed list of topics included in the NDA Mathematics syllabus.
NDA Syllabus for Mathematics
Topics-wise syllabussub-topics include:
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.
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
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.
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.
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.
Analytical Geometry of Two and Three Dimension
Rectangular Cartesian Coordinate system.
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, distance between two points.
Direction Cosines and direction ratios. Equation of 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.
Binomial distribution, examples of random experiments giving rise to Binomial distribution.
NDA SSB Interview
After clearing the NDA Written Examination, candidates are eligible to sit for the SSB Interview. This is the final selection test to get selected into the National Defense Academy and hence, it includes two stages- Stage 1 and Stage 2.
Stage 1 is a screening test which examines the verbal and non-verbal skills of the candidates. This stage also includes the Picture Perception and Discussion Test (PPDT).
While Stage 2 includes the Psychological test and Group Testing Officers Test.
The Psychological tests comprises of the following tests:
Word Association Test (WAT)
Thematic Apperception Test (TAT)
Self Description Test (SDT)
Situation Reaction Test (SRT)
The total number of tests included in Stage 2 is 10. These are as follows:
Group Obstacle Race/ Snake Race
Conference and Personal Interview.
After clearing both the stages, candidates are selected for a round of personal interview. Based on the interview performance, he/she will be selected for the eligible post in the Defense Academy.
NDA Booklist for Mathematics and General Ability
Books are always considered to be helpful in understanding any subject more precisely. But many times, candidates face difficulty in selection of correct reference material. Therefore, we have provided below a list of books for Mathematics and General Ability which can be handy for kickstarting their preparation.
NDA Booklist for Mathematics
Name of The Books
Pathfinder NDA & NA
Mathematics for NDA and NA
Solved Subject-wise Papers for NDA and ND
10 Practice Sets for NDA Exam
NDA Booklist for General Ability
Booklist for General Ability
Name of The Books
Objective General English for Competitive Exams.
Success Series General Knowledge.
Sachchida Nand Jha
History Of Modern India.
Science and Technology in India.
Apart from the above given list, candidates must also follow the NCERT Class 9-12 Textbooks of all the subjects. Most of the questions asked in the NDA Written Exam are upto 10+12 level.
For General Awareness, it is important for the aspirants to read the daily newspaper regularly to stay updated with the latest national and international events.
Important Preparation Tips for NDA Exam 2023
The Union Public Service Commission will soon release the NDA exam dates for the year 2023. Since there are are hardly a few days left for the exam aspirants must kick start their preparation by keeping the following tips in mind:
Prepare a daily time table and distribute the syllabus according to the level of difficulty. Doing so will help the candidates to prepare every topic equally.
Make a habit of solving the previous year question papers on a daily basis. It is very important to know the type of questions asked as well as the difficulty level of the question paper.
Candidates are also advised to visit the official UPSC website for any updates regarding the change of syllabus and exam dates.
Try to note down important formulas and tricks to solve the numerical problems easily and quickly. Also do not enter the examination hall with a stressful mind, this will often lead to creating silly mistakes.
Try to focus on your weak areas and start practicing questions based on those topics regularly. This will help you to get a clear understanding of all the topics.
Try to download the admit card at least five days before the exam to avoid any last minute tension.
Selection in NDA does not only depend on the written exam but also depends on the personality and health of the candidates. Aspirants are advised to take care of themselves by eating healthy food, practicing yoga and exercising daily.
After completing the course, aspirants must revise all the concepts before the examination day so that they can remember all the important formulas and can solve questions easily in the examination.
All the candidates are instructed not to learn or practice any new topic before the day of the examination. By doing this, they might get confused and mess up with all that they have learnt for the exam.
A candidate has to do lots of practice with full dedication to score qualifying marks in the NDA examination. They should avoid all the environmental distractions. Also, it is advised to avoid using their mobile phones and social media platforms till the examination.
Following these above mentioned tips regularly will definitely help you in passing the exam with flying colors.
1. Who is the conducting body of NDA Examination 2023?
Union Public Service Commission conducts the NDA Examination every year to select eligible candidates to the National Defence Academy. The notification for NDA 2023 examination had been released by the Commission on their official website.
2. How can I appear for the NDA SSB Interview?
To be eligible for the NDA SSB interview, one must have to sit for the NDA Written Examination that is conducted by UPSC every year. This interview is the final stage of the selection process and includes screening tests of the verbal and non-verbal skills, psychological skills and physical fitness of the candidate.
Candidates need to secure a minimum of 25% marks in all the subjects of the written examination to be eligible for the SSB interview.
3. Are the NDA Previous Years’ Question Papers available online?
Yes, the previous years’ question papers for the NDA exam are available online at various E-learning sites. Also, candidates can easily download free PDFs of solved NDA question papers by visiting the official website of Vedantu.
4. What are the subjects included in the NDA Written Examination?
The written examination for NDA is categorized into two parts i.e., Mathematics exam and General Ability exam. The General Ability exam consists of English and General Awareness topics along with Physics, Chemistry, General Science, History, Current events and Geography.
5. Is there any negative marking in NDA Examination 2023?
Yes, as per the latest NDA exam pattern, there is a negative marking for every wrong answer. For the Mathematics category, a negative marking of 0.83 marks will be deducted for each wrong attempt. While, for the General Ability section, 1.33 marks will be deducted for each wrong answer.
6. What are the topics covered in the OIR Test of SSB in NDA?
The questions that come in the OIR Test of SSB in NDA are generally based on the topic of Logical and Reasoning Skills. These are Maths-based questions that are picked from the verbal and non-verbal syllabus. Some of the topics are the problem of cube and dice, visualizing patterns, jumbled words, coding-decoding, figure matrix, odd one out, logical venn diagram, reconstruction test, paper cutting, problem on rank, one word substitution, etc. Students can refer to various reference books to build their concepts.
7. Which concepts are covered in the NDA History syllabus?
The NDA History syllabus includes the following topics:
A broad survey of Indian history (civilisation and culture)
Forces shaping the modern world
The freedom movement in India
Discovery and exploration, French revolution, Russian revolution and American independence
Impact of technology and science on society
Elementary study of Indian administration and constitution
Community development and co-operatives
Role of India in the modern world
Basic teachings of Mahatma Gandhi
Sarvodaya, bhoodan, welfare state and national integration
Socialism and communism, United Nations and panchsheel
8. What is the English NDA syllabus?
The knowledge and understanding of candidates in English is examined through the NDA English question paper. Students should consider various English grammar books to practice questions and learn basic rules. As English is a scoring and language subject, therefore students should not ignore it. The detailed syllabus of NDA English is given below:
Usage and grammar
Completion of para and sentence
Proverbs and idioms
Sentence improvement and correction
Cohesion and comprehension
Spotting of errors
Fill in the blanks
Antonyms and synonyms
9. What is the curriculum for NDA Biology?
The syllabus for NDA Biology is mentioned below:
Common Epidemics and their causes and prevention
Achievements of Eminent Scientists
Elementary Knowledge of the Human Body and important organs
The Solar System (Meteors, eclipses and comets)
Reproduction and growth in Animals and Plants
Difference between the non-living and living food
Basis of Life (Protoplasms, tissues and cells)
Source of energy for a man – food
These topics have to be studied by students from the NCERT book and other reference books for better understanding.
10. What is the syllabus for NDA Geography?
The concepts covered in the curriculum of the NDA Geography are listed below:
Types of climate
Longitudes and latitudes
Concept of time
The shape and size of the earth
Main items of exports and imports of India
Main sea, air and land routes and important seaports of India
Mechanical and chemical weathering, volcanoes and earthquakes
Rocks and their classification and origin of the earth