**Union Public Service Commission (UPSC)** has already been released the notification for **National Defence Academy (NDA) Recruitment 2021**. Aspirants who are looking for an entry in Defence Forces like Army, Navy, and Air Force Departments. UPSC has conducted a National level exam for NDA across India. The exam will be held on 2 times every year for** NDA-1 and NDA-2**.

Candidates who interested to secure their career in Indian Defence Services should have to start their preparation now. The Admit cards for NDA-2 will be released soon. For more details, candidates can check the official website @ **upsc.gov.in**

## UPSC NDA 2021 Exam Pattern, Syllabus: Check the official website @ upsc.gov.in

Contents

In this article, we provided the complete Syllabus and Exam pattern for all desired candidates. You can go through below to find the details of the exam, selection procedure, **Exam Pattern, and Syllabus of NDA 2021.**

### UPSC NDA 2021 Exam Details:

NAD-II 2021 notification has closed in July. The exam will be conducted on April 21st, 2021. Here we have given the exam details clearly one check the table below.

Organizing body | Union Public Service Commission (UPSC) |

Exam Name | UPSC NDA/NA Recruitment 2021 |

Job Category | Indian Army, Navy, and Air Force |

Location | Across India |

Exam Mode | Offline mode (Written Test) |

Category | Syllabus |

Official Website | Upsc.gov.in |

### Educational Qualification UPSC NDA 2021

(a) Nationality: A candidate must be an unmarried male and must be

(I) a citizen of India, or (ii) a subject of Bhutan, or (iii) a subject of Nepal, or (iv) a Tibetan refugee who came over to India before the 1st January 1962 with the intention of permanently settling in India, or (v) a person of Indian origin who has migrated from Pakistan, Burma, Sri Lanka and East African Countries of Kenya, Uganda, the United Republic of Tanzania, Zambia, Malawi, Zaire, and Ethiopia or Vietnam with the intention of permanently settling in India. Provided that a candidate belonging to categories (ii), (iii), (IV), and (v) above shall be a person in whose favor a certificate of eligibility has been issued by the Government of India. A certificate of eligibility will not, however, be necessary in the case of candidates who are Gorkha subjects of Nepal.

(b) Age Limits, Sex and Marital Status: Only unmarried male candidates born not earlier than 02nd January 2000 and not later than 1st January 2003 are eligible. The date of birth accepted by the Commission is that entered in the Matriculation or Secondary School Leaving Certificate or in a certificate recognized by an Indian University as equivalent to Matriculation or in an extract from a Register of Matriculates maintained by a University which must be certified by the proper authority of the University or in the Secondary School Examination or an equivalent examination certificates. These certificates are required to be submitted only after the declaration of the result of the written part of the examination. No other document relating to age like horoscopes, affidavits, birth extracts from Municipal Corporation, service records, and the like will be accepted. The expression Matriculation/ Secondary School Examination Certificate in this part of the instruction includes the alternative certificates mentioned above.

**Latest Update: The UPSC NDA Syllabus PDF download link is given at the end of the post**### UPSC NDA Educational Qualifications:

(i) **For Army Wing of National Defence Academy: **12th Class pass of the 10+2 pattern of School Education or equivalent examination conducted by a State Education Board or a University.

(ii) **For Air Force and Naval Wings of National Defence Academy and for the 10+2 Cadet Entry Scheme at the Indian Naval Academy: **12th Class pass of the 10+2 pattern of School Education or equivalent with Physics and Mathematics conducted by a State Education Board or a University. Candidates who are appearing in the 12th Class under the 10+2 pattern of School Education or equivalent examination can also apply for this examination. Such candidates who qualify for the SSB interview but could not produce Matriculation/10+2 or equivalent certificate in original at the time of the SSB interview should forward duly self attested Photocopies to ‘Directorate General of Recruiting, Army HQ.

### Selection Procedure of UPSC NAD 2021:

The selection will be done in 2 stages:

- Offline Written Test
- Interview

### UPSC NDA Exam Pattern 2021

Papers |
Subject Name |
Time Duration |
Marks |

Paper-I | Mathematics | 150 Minutes | 300 Marks |

Paper-II | General Ability Test | 150 Minutes | 600 Marks |

Total | 900 Marks | ||

SSB Test/Interview | 900 Marks |

**PENALTY FOR WRONG ANSWERS:**

Candidates should note that there will be a penalty (Negative Marking) for wrong answers marked by a candidate in the Objective Type Question Papers.

**UPSC NDA 2021 Marking Scheme**

- In the Mathematics section, there will be a total of 120 questions of 300 marks.
- All questions will carry 2.5 marks each, which will only be allotted for choosing the correct answer. 0.83 Marks will be deducted for each incorrect answer.
- General ability test will comprise 600 marks; 200 marks are allotted to English and 400 marks in total are allotted to General Knowledge.
- In this section, there will be a total of 150 questions, 50 from English and 100 from General Knowledge.
- Candidates will be awarded 4 marks for each correct answer in this section.
- A deduction of 1.33 Marks will be there for each wrong answer. There will be no mark for unanswered questions.

Subject Name |
Expected Questions |
Maximum Marks |
Scheme of Marking |
Negative Marking |

Mathematics | 120 | 300 | 2.5 | -0.83 |

English | 50 | 200 | 4 | -1.33 |

General Knowledge: | 100 | — | 4 | -1.33 |

Physics | — | 100 | — | — |

Chemistry | — | 60 | — | — |

General Science | — | 40 | — | — |

History, Freedom Movement, etc. | — | 80 | — | — |

Geography | — | 80 | — | — |

Current Events | — | 40 | — | — |

Grand Total | 270 | 900 | — |

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## UPSC NDA Syllabus 2021

### Mathematics:

The Mathematics paper covers the following chapters and topics:

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

**Algebra:** Complex numbers – basic properties, modulus, Conversion of a number in decimal system to binary system and vice-versa, Arithmetic, argument, cube roots of unity, Geometric and Harmonic progressions, Solution of linear inequations of two variables by graphs, Representation of real numbers on a line, Binary system of numbers, Binomial theorem and its application, Quadratic equations with real coefficients, Permutation and Combination, Logarithms and their applications.

**Differential Calculus:** Composite functions, one to one, onto and inverse functions, geometrical and physical interpretation of a derivative – applications, increasing and decreasing functions, Continuity of functions – examples, algebraic operations on continuous functions, Application of derivatives in problems of maxima and minima, Concept of a real-valued function – domain, range, and graph of a function, Notion of limit, Standard limits – examples, geometrical and physical interpretation of a derivative – applications, Derivative of a function at a point, Derivatives of sum, product and quotient of functions, the derivative of a function with respect of another function, a derivative of a composite function and Second order derivatives.

**Vector Algebra: **Vectors in two and three dimensions, scalar multiplication of vector, scalar product or dot product of two-vectors, Applications-work did by a force and moment of a force, and in geometrical problems, magnitude and direction of a vector, Unit and null vectors, addition of vectors, Vector product and cross product of two vectors.

**Integral Calculus and Differential equations: **Integration by substitution and by parts, trigonometric, Definition of order and degree of a differential equation, formation of a differential equation by examples, exponential and hyperbolic functions, solution of first order and first-degree differential equations of various types – examples, standard integrals involving algebraic expressions, Evaluation of definite integrals – determination of areas of plane regions bounded by curves – applications, General and particular solution of a differential equation, Integration as inverse of differentiation, Application in problems of growth and decay.

**Matrices and Determinants: **Types of Matrices, Determinant of a matrix, adjoint, and inverse of a square matrix, operations on matrices, Applications – Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method, basic properties of the determinant.

**Analytical Geometry of two and three dimensions: **Distance formula, Equation of a circle in standard and in general form, Ellipse and hyperbola, Angle between two lines, Rectangular Cartesian Coordinate system, Equation of a line in various forms, Standard forms of parabola, Distance of a point from a line, Eccentricity, and axis of a conic.

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

**Statistics: **Frequency distribution, Classification of data, cumulative frequency distribution – examples Graphical representation – Histogram, Measures of Central tendency – mean, median and mode, Pie Chart, Frequency Polygon – examples, Variance and standard deviation – determination and comparison, Correlation and regression.

**Probability:** outcomes and associated sample space, Binomial distribution, Random experiment, examples of random experiments giving rise to Binominal distribution, events, mutually exclusive and exhaustive events, Bayes’ theorem – simple problems, impossible and certain events, Complementary, elementary and composite events, Union and Intersection of events, Definition of probability – classical and statistical – examples, Conditional probability, 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.

### General Ability:

The general ability section comprises of two parts which are mentioned below:

**Part-A** **English:**

The English syllabus covers topics like vocabulary, Grammar, and usage, comprehension, and cohesion in extended text to test the candidate’s proficiency in English.

**Part-****B** **General Knowledge:**

The question paper comprises of general knowledge and covers the subjects that include Physics, Chemistry, Social Studies, General Science, Geography, and Current Events.

** ****Physics:**

The motion of objects, Newton’s Laws of Motion, Force and Momentum, Parallelogram of Forces, Stability and Equilibrium of bodies, Gravitation, elementary ideas of work, Velocity and Acceleration, Power and Energy, Sound waves and their properties, Simple musical instruments, Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightening Conductors, Safety Fuses, Simple Pendulum.

Simple Pulleys, Physical Properties and States of Matter, Mass, Weight, Volume, Density, and Specific Gravity, Principle of Archimedes, Pressure Barometer, Effects of Heat, change of State and Latent Heat, Modes of transference of Heat, Rectilinear propagation of Light, Reflection and refraction. Spherical mirrors and Lenses. Human Eye, Static and Current Electricity, Measurement of temperature and heat, 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.

**Chemistry:**

Preparation and Properties of Hydrogen, Oxygen, Nitrogen, and Carbon-Di-oxide, Oxidation and Reduction, Material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and Gun-Powder, Carbon – different forms, Physical and Chemical changes. Symbols, Formulas and simple Chemical Equations, Law of Chemical Combination (excluding problems). Properties of Air and Water, Acids, bases and salts, Elements, Mixtures and Compounds, Fertilizers – Natural and Artificial, Elementary ideas about the Structure of Atom, Atomic, Equivalent and Molecular Weights, Valency.

**General Science:**

Basis of Life – Cells, Protoplasms and Tissues, Constituents of food, Balanced Diet, Achievements of Eminent Scientists, Difference between the living and non-living, Elementary knowledge of the human body and its important organs, Food – Source of Energy for man, Growth and Reproduction in Plants and Animals, Common Epidemics, their causes and prevention, The Solar System – Meteors and Comets, Eclipses.

**History:**

Freedom Movement in India, Bhoodan, Sarvodaya, National Integration and Welfare State, Basic Teachings of Mahatma Gandhi, A broad survey of Indian History, with emphasis on Culture and Civilisation, Elementary knowledge of Five Year Plans of India, Elementary study of Indian Constitution and Administration, Panchayati Raj, 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, Co-operatives and Community Development, Role of India in the present world.

**Geography:**

Origin of Earth, Weathering – Mechanical and Chemical, Earthquakes, and volcanoes, Atmosphere and its composition, Temperature and Atmospheric Pressure, Rocks and their classification, Planetary Winds, cyclones and Anti-cyclones, Humidity, Condensation and Precipitation, Major Natural regions of the World, Important Sea ports and main sea, land, and air routes of India. Main items of Imports and Exports of India, Types of Climate, The Earth, its shape and size, Latitudes and Longitudes, Concept of time, International Date Line, Movements of Earth and their effects, Ocean Currents and Tides, Regional Geography of India – Climate, Natural vegetation. Mineral and Power resources, location, and distribution of agricultural and industrial activities.

** ****Current Events:**

Current important world events, Knowledge of Important events that have happened in India in recent years, prominent personalities – both Indian and International including those connected with cultural activities and sports.

It is not compulsory that the topics mentioned above will surely come in the examination. The question paper does not remain consistent, it changes every year. It may happen that the question paper will consist of the topic not discussed here.

#### Best Books for NDA 2021 Preparation:

- Mathematics for NDA and NA: National Defence Academy and Naval Academy by

**RS Aggarwal**

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**R S Aggarwal** - NDA and NA National Defence Academy and Naval Academy Entrance Examination: 10 Practice Sets (English) by
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### Important Links Related to UPSC NDA/NA Syllabus 2021

**NDA 2021 Syllabus and Exam Pattern PDF download**