|Exam Name||NDA & NA Exam|
|Full-Form||National Defence Academy & Naval Academy Exam|
|Occurrence||Twice a Year|
|Purpose||Recruitment for National Defence Academy|
|Exam Date||06 September 2020|
UPSC NDA Syllabus | Eligibility | Admit Card | Result | Salary | Exam Date | Full Notification | Apply Online Form | UPSC NDA Syllabus
UPSC NDA II 2020 Exam is open and inviting application for the posts of NDA II Exam 2020 (413 Vacancy )from 12th pass candidates interested in Sarkari result UPSC NDA II 2020 Exam application can apply online before 06 July 2020. The candidates may have completed their educational qualification can read the full notification given below before applying.
For the detailed description for filling UPSC NDA Syllabus through detailed description, official notification about UPSC NDA age limit, qualification, number of openings, location. We Will Updated the UPSC NDA Syllabus Sarkari Result, UPSC Exam Date, UPSC NDA Syllabus, UPSC NDA Admit Card, Answer Key, and other important details time to time at this page only. Visit eSarkaariResult.com For the latest Govt and Private Job Notifications Updates.
- The papers in all the subjects will consist of objective type questions
- The question papers (test booklets) of mathematics and Part “B” of the General Ability Test will be set bilingually in Hindi as well as English.
- Candidates should note that there will be Negative Marking of One-third marks for wrong answers marked by a candidate in the Objective Type Question Papers.
- 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.
UPSC NDA & NA (I) 2020 Written Test Syllabus
Let’s look at the detailed syllabus of Mathematics & General Ability Test (GAT) Sections of NDA & NA 2020 Written Exam:
|Paper I- Mathematics|
|Total Marks||300 Marks|
|Total No. of Questions||120|
|Marks awarded for Correct answer||2.5 marks|
|Marks deducted for wrong answer||-0.85|
|Exam Duration||2.5 Hours|
|Paper II- General Ability|
|Total Marks||600 marks|
|Total No. of Questions||150|
|No. of questions in English Section||50|
|No. Of questions in General knowledge Section||100|
|Maximum Marks for English||200 marks|
|Maximum Marks for G.K.||400 marks|
|Marks for Correct Answer||4 marks in both sections|
|Marks for Incorrect Answer||-1.33 marks in both sections|
|Exam Duration||2.5 Hours|
|UPSC NDA & NA (I) Written Test Syllabus|
|Paper-1: Mathematics (300 Marks)|
|1||Algebra||Concept of set, operations on sets, Venn diagrams, De Morgan laws, Cartesian product, relation, equivalence relation.|
2.) 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.
|2||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.|
|3||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.|
|4||Analytical Geometry Of Two and Three Dimensions||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.|
|5||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-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|
|6||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.|
2.) 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 the first order, and first-degree differential equations of various types—examples. Application in problems of growth and decay.
|7||Vector Algebra||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.|
|8||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.|
2.) 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.
|Paper-2: General Ability Test (600 Marks)|
|Part A(200 Marks)||ENGLISH||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(400 Marks)||GENERAL KNOWLEDGE (GK)||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.|
|Part B(100 Marks out of 400 Marks)||Section ‘A’ of GK (Physics)||Physical Properties and States of Matter, Mass, Weight, Volume, Density, and Specific Gravity, Principle of Archimedes, Pressure Barometer.|
2.) The 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.
3.) Natural and Artificial Magnets, Properties of a Magnet, Earth as a magnet.
4.) 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’sCompass; Lightening Conductors, Safety Fuses
|Part B(60 Marks out of 400 Marks)||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.|
2.) Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon dioxide, Oxidation, and Reduction. Acids, bases, and salts. Carbon – different forms. Fertilizers—Natural and Artificial. The 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.
|Part B(40 Marks out of 400 Marks)||Section ‘C’ (General Science)||Difference between the living and non-living. Basis of Life—Cells, Protoplasms, and Tissues. Growth and Reproduction in Plants andAnimals.|
2.) Elementary knowledge of the Human Body and its important organs.Common Epidemics, their causes, and prevention.
3.) Food—Source of Energy for man. Constituents of food, Balanced Diet. The Solar System—Meteors and Comets, Eclipses. Achievements of EminentScientists.
|Part B(80 Marks out of 400 Marks)||Section ‘D’ (History, Freedom Movement etc.)||A broad survey of Indian History, with emphasis on Culture and civilization. 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.|
2.) Forces shaping the modern world; Renaissance, Exploration, and Discovery; War of American Independence. French Revolution, Industrial Revolution, and the 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.
|Part B(80 Marks out of 400 Marks)||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.|
|Part B(40 Marks out of 400 Marks)||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% weightage respectively.
NDA Cut off 2020 Dates
The table below contains the dates related to the release of cut off marks.
|NDA Cut off 2020 Events||NDA 1 2020||NDA 2 2020|
|Written Exam||To be announced soon||06-Sept-2020|
|Release of NDA cut off marks||To be announced soon||May 2021|
How is NDA Cut off calculated?
NDA cut off is calculated based on the following factors:
- Number of test-takers
- Total vacancies
- Exam difficulty
NDA Cut off 2020 for written exam
The cut off for this stage is decided out of 900 marks. UPSC also decides sectional NDA cut off in written exam. The sectional cut off is calculated on the basis of the total marks of each section. The sectional NDA cut off is different for NDA 1 and 2 exam. In 2018, the sectional NDA 1 and 2 cut off was 25% in each subject. In 2016, the sectional NDA 2 cut off was 20% while it was 25% for NDA 1 in the same year.
NDA 1 2020 Expected Cut off
|Exam||NDA expected cut off|
|Final Cut off||704|
NDA 2 Expected Cut off 2019
|NDA 2 exam||Written Exam||Final Selection|
NDA 1 Cut off 2019 (Official)
|Academy||NDA 1 cut off 2019 for written exam (out of 900)||NDA 1 Final Cut off 2019 (out of 1800)|
|Army||342 (With at least 25% marks in each subject)||704|
Previous years’ NDA Cut off for the ten exam
NDA 2 cut off
|Year||NDA 2 cut off (Out of 900 marks)|
|2018||325 (With at least 25% marks in each subject)|
|2017||258 (With at least 25% marks in each subject)|
|2016||229 (With at least 20% marks in each subject)|
NDA 1 cut off
|Year||NDA 1 cut off (Out of 900 marks)|
|2018||338 (With at least 25% marks in each subject)|
|2017||342 (With at least 25% marks in each subject)|
|2016||288 (With at least 25% marks in each Subject)|
NDA Syllabus 2020 for GAT
The GAT syllabus of NDA is divided into two parts. Part A comprises questions from English while Part B carries questions from General Knowledge. The total questions in this section will be 150. The total marks for this section are 600. Each question carries 4 marks while 1.33 marks will be deducted for the g answer.
English: The question paper in English is designed to test the candidate’s understanding of English. The syllabus covers various aspects such as Grammar and usage, vocabulary, comprehension,and cohesion.
|Physical Properties and States of Matter||Modes of transference of Heat|
|Mass||Sound waves and their properties|
|Weight||Simple musical instruments|
|Volume||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 the following: 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.|
|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|
|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 Human Body and its important organs|
|The Solar System—Meteors and Comets, Eclipses. Achievements of Eminent Scientists|
|Forces shaping the modern world; Renaissance||A broad survey of Indian History, with emphasis on Culture and Civilisation|
|Exploration and Discovery; War of American Independence, French Revolution, Industrial Revolution and Russian Revolution||Freedom Movement in India|
|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|
|United Nations, Panchsheel, Democracy, Socialism and Communism||Panchayati Raj|
|Role of India in the present world||Co-operatives and Community Development|
|A broad survey of Indian History, with emphasis on Culture and Civilisation||Bhoodan, Sarvodaya, National Integration and Welfare State|
|Basic Teachings of Mahatma Gandhi||–|
|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|
|Knowledge of Important events that have happened in India in the recent years||Prominent personalities—both Indian and International including those connected with cultural activities and sports|
|Current important world events||–|
Topic-wise distribution of questions in GAT
|Topic||No. of Questions||No. of Marks|
|Ordering of Words in a Sentence||9||36|
|Topic||No. of Questions||No. of Marks|
|History & Freedom Movement||16||64|
|Mathematics||Mathematics for NDA and NA: National Defence Academy and Naval Academy by RS AggarwalQuantitative aptitude for competitive examinations by RS Aggarwal|
|GAT||History Of Modern India (History) by Bipan ChandraScience and Technology in India (Science and Technology) by Kalpana Rajaram : SpectrumObjective General English for Competitive Exams by S.P. BakshiManorama Yearbook 2019 by Mammen Mathew|