Everything About NDA Exam | Syllabus | Eligibility | Question Papers

First of all, we will know what is NDA? after that, we will include everything that you should know if you are planning to serve in Army. So we are covering everything that you should know.

The UPSC: Union Public Service Commission conducts the National Defense Academy Examination to select candidates for the NDA. The written test is followed by a comprehensive interview by SSBS, which includes general aptitude, psychological tests, physical and social skills, and medical tests along with team skills.

NDA Exam 2021

NDA 2021 notification has been issued. The application process has started online on 30 December 2020. It is a national-level entrance exam conducted every year. Through this entrance examination, qualified candidates are selected for the Indian Navy, Indian Military, and Air Force training. The NDA exam is conducted by the UPSC every year. After qualifying for this entrance examination, the candidates have to qualify for SSB Interview. Through this article, candidates can see the complete details of the NDA 2021 application to the SSB interview.

National Defence Academy and Naval Academy Examination (II), 2019

General Ability Test DOWNLOAD PDF

Mathematics DOWNLOAD PDF 

National Defence Academy and Naval Academy Examination (I), 2019

General Ability Test DOWNLOAD PDF

Mathematics DOWNLOAD PDF

General Ability Test DOWNLOAD PDF

Mathematics DOWNLOAD PDF

National Defence Academy and Naval Academy Examination (I), 2018

General Ability Test DOWNLOAD PDF

Mathematics DOWNLOAD PDF

National Defence Academy & Naval Academy Examination (II), 2017

General Ability Test DOWNLOAD PDF

Mathematics DOWNLOAD PDF

National Defence Academy & Naval Academy Examination (I), 2017

General Ability Test DOWNLOAD PDF

Mathematics DOWNLOAD PDF

National Defence Academy and Naval Academy Examination (II), 2016

Mathematics DOWNLOAD PDF

General Ability Test DOWNLOAD PDF

Mathematics Download Question Paper PDF

General Ability Test (GAT) Download Question Paper PDF

Major Kalshi Coaching Centre NDA 2020 Answer 

KeyMathematics Download Answer Key PDF 

General Ability Test (GAT)Download Answer Key PDF

Doon Indian Defence Academy NDA 2020 Answer 

KeyMathematics Download Answer Key PDF

General Ability Test (GAT) Download Answer Key PDF

Defense Guru Coaching NDA 2020 Answer 

KeyMathematics Set-A Download Answer Key PDF

Mathematics Set-B Download Answer Key PDF

Mathematics Set-C Download Answer Key PDF

Mathematics Set-D Download Answer Key PDF

No, we will cover very common questions.

What is NDA Exam Syllabus?

NDA exam syllabus is divided into two sections –

  • Math
  • General Aptitude

The General Ability section is divided into English and General Knowledge. The mathematics question paper will be of the 12th standard.

Questions in Mathematics: Trigonometry, differential calculus, vector algebra, integral mathematics, etc., will be asked.

Questions in English – Grammar, vocabulary, comprehension, broad text and consistency, etc., will be asked to test the candidate’s proficiency.

Question paper in General Knowledge – will cover many topics like Physics, Chemistry, Social Studies, General Science, Geography, Current Affairs, etc. The answers given by the candidates will show their intelligent understanding and knowledge of the subject.

What is Eligibility for NDA?

For Army Wing of National Defense Academy: Class XII pass or equivalent in schooling system 10 + 2 conducted by any State Education Board or University.

For the Naval and Air Force Wings of the National Defense Academy and the 10 + 2 Cadet Entry Scheme of the Indian Naval Academy: Class XII or the equivalent of School Education System 10 + 2 with Physics and Mathematics conducted by any State Education Board or University.

Candidates appearing in class XII or equivalent examination under the school education system 10 + 2 can also apply.

What is NDA Exam Syllabus?


Concept of a set, operation on set, Venn diagram. D. Morgan Law. Cartesian products, relations, equivalence relations. Representation of real numbers on a line. Complex numbers – Basic properties, modulus, logic, cubic roots of unity. Binary system of numbers. Converting a number into a binary system in the decimal system and vice versa. Arithmetic, Geometric and Harmonic Progress. Quadratic equations with real coefficients. Solve linear inequalities of two variables by graphing. Permutations and Combinations. Binomial Theorem and Its Applications. Logarithms and their applications.

Matrices and determinants:

Types of Matrix, Operations on Matrix, Determinants of a Matrix, Basic Properties of Determinants. Application of a square matrix and vice versa, application – solution of a system of linear equations in two or three unknowns by Cramer’s rule and matrix method.


Angles and their measures in degrees and radians. Trigonometric ratio. Trigonometric identity even and differential formulas. Multiple and sub-multiple angles. Invert 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. The distance of a point from a line. Equation of a circle in standard and general form. Standard forms of parabola, ellipse, and hyperbola. Eccentric and the axis of a cone.

The point in a three-dimensional space, the distance between two points. Direction cosine and direction ratio. Equation of a plane and a line in various forms. The angle between two lines and the angle between two planes. Equation of a sphere.

Differential Calculations:

Concept of a real-valued function – domain, range, and function graph. Composite functions, one to one, onto and inverse functions. Boundary perception, standard boundaries – examples. Continuity of functions – Example, algebraic operations on continuous functions. 

Derivative, a function derivative at a point – geometric and physical interpretation of applications. Derivatives of sum, product, and quotient of functions, a derivative of one function, about another function, a derivative of a composite function. Second-Order Derivatives. Increasing and decreasing functions. Application of derivatives in maxima and minima problems.

Integral Calculus and Differential Equations:

Standard integrals involving integration, algebraic expressions, trigonometric, exponential, and hyperbolic functions are inverse of discrimination. Evaluation of fixed integrals – Determination of areas of plane fields imposed by curves – Application. Definition of order and degree of a differential equation, the formation of a differential equation by example. Examples are general and special solutions to a differential equation, solving first-order and first-degree differential equations of different types. Applications in growth and decay problems.

Vector Algebra:

Areas in two and three dimensions, magnitude, and direction of a vector. Unit and null vectors, in addition to vectors, scalar multiplication of a vector, scalar product, or dot product of two vectors. Vector product and cross product of two vectors. Application and work are done by forces and moments and geometric problems of a force.

Statistics and Probability:

Statistics: Classification of data, frequency distribution, cumulative frequency distribution – example graphical representation – histogram, pie chart, frequency polygon – example. Measures of central tendency – mean, mean, and mode. Variance and standard deviation – determination and comparison.

Correlation and Regression:

Probability: Random experiments, results, associated sample locations, events, mutually exclusive and whole events, impossible and few events. Union of events and contradiction. Complementary, Primary, and Composite Events. Definition of probability – classic and statistical – examples. Elementary Theory on Probability – Simple Problems. Conditional Probability, Bayes Theorem – Simple Problems. Random variable as a function on the sample space. binomial distribution,

NDA Syllabus 2021 Paper-II

  • General aptitude test
  • (Maximum marks – 600)

Part ‘A’ – English (maximum marks 200). 

The question paper in English will be designed for the candidate’s understanding of English and working like words. The course covers various aspects:

  • Grammar and usage.
  • Vocabulary to test a candidate’s proficiency in English.
  • Concordance.
  • Cohesiveness in a wide text.

Part ED B ‘- General Knowledge

The question paper on General Knowledge will broadly cover the topics: Physics, Chemistry, General Science, Social Studies, Geography, and Current Events. 

The syllabus below is designed to indicate the scope of these topics covered in this paper. The topics mentioned should not be considered in detail, and questions of similar nature not specifically mentioned in the syllabus can also be asked. Candidate answers are expected to show their knowledge and understanding of the subject.

Section ‘A’ (Physics)

Physical properties and states, mass, weight, volume, density, specific gravity, Archimedes’ principle, pressure geometer. Speed, speed and acceleration, Newton’s laws of motion, force and momentum, parallel quadrilaterals of forces, stability and equilibrium bodies, gravity, elementary ideas of work, power, and energy. Effects of heat, measurement of temperature and heat, change of state and latent heat, modes of heat transition. Sound waves and their properties, Simple musical instruments. Rectangular propagation of light, reflection, and refraction. Spherical mirrors and lenses, the 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, Ordinary Electrical Circuits, Current Heating, Light and Magnetic Effects, Measurement of Electric Power, Primary and Secondary Cells, Use of X-rays. General principles in the work of the following: simple pendulum, simple pulses, siphon, lever, balloon, pumps, hydrometer, pressure cooker, thermos flask, gramophone, telegraph, telephone, periscope, telescope, microscope, mariner compass; Lightning conductor, safety fuses.

Section ‘B’ (Chemistry)

Physical and chemical changes. Elements, Mixtures and Compounds, Symbols, Formulas and Simple Chemical Equations, Law of Chemical Combinations (Excluding Problems). Properties of air and water. Preparation and properties of hydrogen, oxygen, nitrogen, carbon dioxide, oxidation, and reduction. Acids, bases, and salts. Carbon – various forms. Fertilizer – Natural and Artificial. Materials used to prepare substances such as soap, glass, ink, paper, cement, paint, safety mail, and gunpowder. Elementary ideas about the structure of atoms, atomic equivalents and molecular weights, validity.

Section C (General Science)

Differentiate between living and lifeless. Basis of Life- cells, protoplasm, and tissue. Growth and reproduction in plants and animals. Prior knowledge of the human body and its vital organs. Common Epidemics, their causes, and prevention. Food – A source of energy for humans. Food components, balanced diet. Solar System – Meteor and Comet, Eclipse. Achievements of eminent scientists.

Section’ D’ (History, freedom movement, etc.)

A comprehensive survey of Indian history with an emphasis on culture and civilization. Independence movement in India. Preliminary Study of Indian Constitution and Administration. Early knowledge of Five Year Plans of India. Panchayati Raj, Cooperation and Community Development. Bhoodan, Sarvodaya, National Integration and Welfare State, Basic Education of Mahatma Gandhi. Forces are 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. India’s role in the current world.

Section ‘E’ (Geography)

Earth, its size and shape. Latitude and longitude, the concept of time. International Date Line. Earth’s Movements and Their Impact. Origin of Earth Rocks and their classification; Weathering-mechanical and chemical, earthquakes and volcanoes. Ocean currents and tidal atmospheres and their composition; Temperature and atmospheric pressure, planetary winds, cyclones, and anticipates; Humidity; Condensation and precipitation; Types of climate, major natural regions of the world. Regional geography-climate, natural vegetation of India. Mineral and Power Resources; Location and distribution of agricultural and industrial activities. Important seaports and main sea, land, and airways of India. Major items of import and export of India.

Section ‘F’ (Current Events)

Knowledge of important events in India in recent years. Current Important World Events. Key personalities – including those associated with cultural activities and sports, both Indian and international.

Note: Out of the maximum marks specified for Part ‘B’ of this paper, questions on Sections’ A,’ ‘B,’ ‘C,’ ‘D,’ ‘E’ and ‘F’ are about 25%, up to 15% Will take. , 10%, 20%, 20% and 10% weight respectively.

Intelligence and personality test

The SSB process consists of a two-stage selection process – Phase I and Phase II. Only those candidates who clear Phase I are allowed to appear for Phase II. Details are:

(A) Stage I consists of Officer Intelligence Rating (OIR) tests, Picture perception * Description tests (PP and DT). Candidates will be shortlisted based on a combination of performance in the OIR Test and PP&DT.

(b) Compilation of stage II interviews, group test officer work, psychology tests, and conferences. These tests are conducted over 4 days. Details of these tests are given on the website joinindianarmy.nic.in. Three different evaluators assess a candidate’s personality. Interview Officer (IO), Group Testing Officer (GTO), and Psychologist. There is no separate weightage for each test.

Masks are allotted by the evaluators keeping in view the candidate’s performance in all the examinations. In addition, points are also allocated for the conference based on the candidate’s initial performance in the board’s three techniques and decisions. 

All these have equal weight. The various IO, GTO, and Psych tests are designed to exclude the presence/absence of officer-like qualifications and their training ability in a candidate. Accordingly, candidates are not recommended or recommended in SSB.

How Many Numbers vacancies are in UPSC NDA?

The approximate number of vacancies to be filled on the results of this examination will be as follows:

National Defense Academy: Updates will be soon (Updates for Army will be soon, Updates for Navy will be soon, and Updates for Air Force will be soon)

Naval Academy (10 + 2 Cadet Entry Scheme): Update will be soon

Total Vacancies: Updates Will Be Soon

The vacancies are provisional and subject to change depending on the availability of training capacity of the National Defense Academy and the Indian Naval Academy.

Where to get NDA Admit Card 2021?

The admit cards of NDA Exam 2021 will be made available on the UPSC website [upsc.gov.in], which will not be sent by post through any admit card. To download the e-admit card, the candidate must have RID and date of birth or roll number (if received) and important parameters like date of birth or name, father’s name, and date of birth.

Where is NDA Exam Center?

The exam will be conducted in the following centers – Agartala, Ahmedabad, Aizawl, Allahabad, Bengaluru, Bareilly, Bhopal, Chandigarh, Chennai, Cuttack, Dehradun, Delhi, Dharwad, Dispur, Gangtok, Hyderabad, Imphal, Itanagar, Jaipur, Jammu. Jorhat, Kochi, Kohima, Kolkata, Lucknow, Madurai, Mumbai, Nagpur, Panaji (Goa), Patna, Port Blair, Raipur, Ranchi, Sambalpur, Shillong, Shimla, Srinagar, Thiruvananthapuram, Tirupati, Udaipur, and Visakhapatnam.

Applicants should note that there will be a ceiling on the number of candidates allotted to each center except Chennai, Dispur, Kolkata, and Nagpur.

Where to get NDA Application Form?

The candidates have to apply online using the website upsconline.nic.in. Brief instructions for filling the online application form are given in Appendix II. Detailed instructions are available on the above website www.upsc.gov.in or upsconline.nic.in. Online applications can be filled up to 06.00 pm on 04 February 2021. Online applications can be withdrawn from 08 February 2021 to 14 February 2021 at 6:00 pm. Detailed instructions regarding the withdrawal of application are available in Appendix II.

(B). The eligible candidates will be issued an e-admit card three weeks before the commencement of the examination. The e-admit card will be made available on the UPSC website (upsc.gov.in) for download by the candidates.

No Admit Card will be sent by post. While filling the online application form, all applicants must provide a valid and active email ID as the Commission can use electronic mode to contact them. Last date for application: Online applications can be filled to 04 February 2021 until 6.00 pm.

You have to apply online at https://www.upsc.gov.in

What is NDA Application Form Fee?

For the candidates (except those of SC / ST candidates / JCOs / NCOs / Sons as specified in Note 2 below, who are exempted from payment of fees), Rs. A fee of Rs. 100 / – (Rupees one hundred only) either by depositing money in any branch of SBI by cash, or State Bank of India / State Bank of Bikaner & Jaipur / State Bank of Hyderabad / State Bank of Mysore / State Bank of Mysore By using State Bank of Patiala / State Bank of Travancore or Visa / MasterCard Credit / Debit Card using the net banking.

Applicants who opt for the “Pay by Cash” mode should print out the pay-in-slip generated system during Part-II registration and deposit the fee at the counter of the SBI Branch on the next working day.

The “Pay by Cash” mode option will be discontinued at 23.59 hours on 03 February 2021, i.e., one day before the closing date; however, applicants who have generated their pay-in-slip before de-activating can make payment at the counter of the SBI Branch during banking time on the closing date.

Applicants who cannot make payment by cash during banking dates at the SBI branch, i.e., till the last date, for this reason. Even if having a valid pay-in-slip, there will be no other offline option, but online debit / Card to select Credit or Internet Banking Last date of payment, i.e., 6 pm till 04 February 2021.

What is NDA 2021 Exam Pattern?

The exam pattern for both the papers is given below: 


The maths paper tests the skills of the students’ marks and calculations. Question papers are in both Hindi and English. Specific details related to this area are in the table below 

  • Total marks 300
  • Total number of questions 120
  • Mark 2.5 for the correct answer
  • Reduction of marks for wrong answer 0.85
  • Exam duration 2.5 hours

General ability

  • Total Score 600
  • Total number of questions 150
  • Number of English subject questions 50
  • Number of General Knowledge questions 100
  • The maximum marks for English is 200
  • Maximum marks for general knowledge 400
  • 4 marks in both the sections for the correct answer
  • Marks deducted in both sections for wrong answer 1.33
  • Exam duration 2.5 hours