NDA Syllabus 2022 [ Maths & GAT ]: Check New Exam Pattern for NDA Exam


NDA Syllabus 2022: Union Public Service Commission invites online application form for selection to various posts in National Defense Academy and Naval Academy for youth who want to join Defense Services. If you have also applied for these posts, then now you should start your preparation. To make your preparation successful, in today’s article, we have brought for you UPSC NDA Syllabus 2022 and UPSC NDA Exam Pattern 2022, so what are the delays, let’s start.

NDA Syllabus 2022 : Highlights

  • Article Name :- UPSC NDA Syllabus 2021
  • Stage :- First
  • Type of Exam :- Selection Exam
  • Vacant Post :- 400 Posts
  • Selection Process :- Preliminary Exam + SSB Interview + Medical Test
  • Negative Marking :- Yes [Mathematics: -0.83, GAT: -1.33 marks]
  • Exam Mode :- Online
  • Job Location :- All over India
  • Application Process : Online
  • Official Website : http://upsc.gov.in/

UPSC NDA Selection Process

In UPSC NDA, a candidate has to go through the following three stages to reach the final stage:-

1- Preliminary Examination: It is a screening test in which shortlisted candidates are called for the next stage.

2- SSB Interview: This is considered to be the toughest stage of the exam. During this, the physical, mental and other abilities of the person are tested.

3- Medical Test: Candidates who qualify SSB Interview are called for Medical Test.

The candidates who perform well in the above three stages and are able to make their place in the final merit list. They are selected in various defense posts of the country.

UPSC NDA Exam Pattern 2022

NDA Syllabus 2022
NDA Syllabus 2022

Understanding the exam pattern is an important aspect to make the exam successful, its exam pattern is as follows.

  • All the questions asked in this exam are multiple choice.
  • The question paper is made available in both Hindi and English languages.
  • The written examination is of 900 marks and the interview is also of equal marks.
  • A total of 300 marks for Mathematics in the exam while 600 marks for General Aptitude.
  • Its total time duration is 2 hours 30 minutes.

You can easily understand its contents through the table given below.

Paper I- Mathematics
Total Marks300 Marks
Total No. of Questions120
Marks awarded for Correct answer2.5 marks
Negative Marking -0.83
Duration2.5 Hours (150 Minutes)
Paper-II- General Ability Test
Total Marks600 marks
Total No. of Questions150
No. of questions in English Section50
No. of questions in General knowledge Section100
Maximum Marks for English200 marks
Maximum Marks for G.K.400 marks
Negative Marking-1.33 marks
Duration2.5 Hours (150 Minutes)

UPSC NDA Syllabus 2022

There are mainly two sections in the written exam for NDA. The first section is of Mathematics while the second is of General Aptitude Test which is abbreviated as GST. To understand the subject matter of both these sections, it is very important to understand its entire exam syllabus. Without understanding the syllabus it becomes very difficult to crack the exam.

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NDA Syllabus for Mathematics – Topic Wise


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.


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.


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.


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, 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.


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.


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.


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 : 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.

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Part ‘A’—ENGLISH (Maximum Marks—200)

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.

Part ‘B’—GENERAL KNOWLEDGE (Maximum Marks—400)

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. Candidate’s answers are expected to show their knowledge and intelligent understanding of the subject.

Section ‘A’ (Physics)

Physical Properties and States of Matter, Mass, Weight, Volume, Density and Specific Gravity, Principle of Archimedes, Pressure Barometer.

Motion of objects, Velocity and Acceleration, Newton’s Laws of Motion, Force and Momentum, Parallelogram of Forces, Stability and Equilibrium of bodies, Gravitation, elementary ideas of work, Power and Energy. Effects of Heat, Measurement of Temperature and Heat, change of State and Latent Heat, Modes of transference of Heat. Sound waves and their properties, Simple musical instruments. Rectilinear propagation of Light, Reflection and refraction. Spherical mirrors and Lenses, Human Eye.

Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet.

Static and Current Electricity, conductors and Non- conductors, Ohm’s Law, Simple Electrical Circuits, Heating, Lighting and Magnetic effects of Current, Measurement of Electrical Power, Primary and Secondary Cells, Use of X-Rays. General Principles in the working of the following:
Simple Pendulum, Simple Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightening Conductors, Safety Fuses.

Section ‘B’ (Chemistry)

Physical and Chemical changes. Elements, Mixtures and Compounds, Symbols, Formulae and simple Chemical Equations, Law of Chemical Combination (excluding problems). Properties of Air and Water.
Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbondioxide, Oxidation and Reduction. Acids, bases and salts. Carbon—different forms. Fertilizers—Natural and Artificial. 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 Atom, Atomic Equivalent and Molecular Weights, Valency.

Section ‘C’ (General Science)

Difference between the living and non-living. Basis of Life—Cells, Protoplasms and Tissues. Growth and Reproduction in Plants and Animals.

Elementary knowledge of Human Body and its important organs. Common Epidemics, their causes and prevention.

Food—Source of Energy for man. Constituents of food, Balanced Diet. The Solar System—Meteors and Comets, Eclipses. Achievements of Eminent Scientists.

Section ‘D’ (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.

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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.

Section ‘E’ (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.

Section ‘F’ (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.

NOTE : Out of maximum marks assigned to part ‘B’ of this paper, questions on Sections ‘A’, ‘B’, ‘C’, ‘D’, ‘E’ and ‘F’ will carry approximately 25%, 15%, 10%, 20%, 20% and 10% weightages respectively.

NDA: Intelligence and Personality Test 2022

The SSB procedure consists of two stage Selection process – stage I and stage II. Only those candidates who clear the stage I are permitted to appear for stage II. The details are :

(a) Stage I comprises of Officer Intelligence Rating (OIR) tests are Picture Perception * Description Test (PP&DT). The candidates will be shortlisted based on combination of performance in OIR Test and PP&DT.

(b) Stage II Comprises of Interview, Group Testing Officer Tasks, Psychology Tests and the Conference. These tests are conducted over 4 days. The details of these tests are given on the website joinindianarmy.nic.in.

  • The personality of a candidate is assessed by three different assessors viz. The Interviewing Officer (IO), Group Testing Officer (GTO) and the Psychologist. There are no separate weightage for each test. The mks are allotted by assessors only after taking into consideration the performance of the candidate holistically in all the test. In addition, marks for Conference are also allotted based on the initial performance of the Candidate in the three techniques and decision of the Board. All these have equal weightage.
  • The various tests of IO, GTO and Psych are designed to bring out the presence/absence of Officer Like Qualities and their trainability in a candidate. Accordingly candidates are Recommended or Not Recommended at the SSB.

UPSC NDA Syllabus 2022 PDF Download

If you want to download NDA Syllabus in Hindi PDF then you can download from official website or below link.

Frequently Asked Questions

Q: What is the level of NDA Syllabus?

Candidates appearing for NDA exam have to study 10th, 11th and 12th level subjects. Each subjects topic wise syllabus are given above. So please read that.

Q: Is there a provision of negative marking in this exam?

Yes, there is a provision of negative marking in this exam. There are 0.83 negative Marking In paper- I i.e. Mathematics while for paper II i.e GAT will be 1.33.

Q: What is the eligibility for NDA exam?

Candidates age must be between 16 to 19 years and have passed class 12 or equivalent examination.

Q: Recently For how many posts UPSC has released notification for NDA 2022?
This notification has been released for a total of 400 posts.

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