UPSC NDA II Syllabus 2020

Exam NameNDA & NA Exam
Full-FormNational Defence Academy & Naval Academy Exam
Year2020
OccurrenceTwice a Year
PurposeRecruitment for National Defence Academy
Exam LevelNational-Level
Exam ModeOffline
Official Websitewww.upsc.gov.in
Exam Date06 September 2020
UPSC NDA II Online Form Recruitment 2020, UPSC Exam Date UPSC NDA Result 2020, UPSC NDA Syllabus 2020, upsc nda, upsc nda syllabus, upsc syllabus, upsc online, union public service commission online Form 2020, UPSC NDA Syllabus

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.

NOTE

  1. The papers in all the subjects will consist of objective type questions
  2. 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.
  3. 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.
  4. In the question papers, wherever necessary, questions involving the metric system of Weights and Measures only will be set.
  5. 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.
  6. The Commission has the discretion to fix qualifying marks in any or all the subjects at the examination.
  7. 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 Marks300 Marks
Total No. of Questions120
Marks awarded for Correct answer2.5 marks
Marks deducted for wrong answer-0.85
Exam Duration2.5 Hours

General Ability

Paper II- General Ability
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 
Marks for Correct Answer4 marks in both sections
Marks for Incorrect Answer-1.33 marks in both sections
Exam Duration2.5 Hours
UPSC NDA & NA (I) Written Test Syllabus
Paper-1: Mathematics (300 Marks)
S.NoChapterSyllabus
1AlgebraConcept 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.
2Matrices and DeterminantsTypes 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.
3TrigonometryAngles 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.
4Analytical Geometry Of Two and Three DimensionsRectangular 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.
5Differential CalculusConcept 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
6Integral Calculus and Differential EquationsIntegration 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.
7Vector AlgebraVectors 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.
8Statistics and ProbabilityStatistics: 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)
PartsChapterSyllabus
Part A(200 Marks)ENGLISHThe 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 EventsNDA 1 2020 NDA 2 2020 
Written ExamTo be announced soon06-Sept-2020 
Release of NDA cut off marksTo be announced soonMay 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 
Written Exam 342
Final Cut off704

NDA 2 Expected Cut off 2019 

NDA 2 exam Written Exam Final Selection 
330-348

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
Navy 
Air Force 
Naval Academy

Previous years’ NDA Cut off for the ten exam

NDA 2 cut off

YearNDA 2 cut off (Out of 900 marks)
2018325 (With at least 25% marks in each subject)
2017258 (With at least 25% marks in each subject)
2016229 (With at least 20% marks in each subject)

NDA 1 cut off

YearNDA 1 cut off (Out of 900 marks)
2018338 (With at least 25% marks in each subject)
2017342 (With at least 25% marks in each subject)
2016288 (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.

Physics
Physical Properties and States of MatterModes of transference of Heat
MassSound waves and their properties
WeightSimple musical instruments
VolumeRectilinear propagation of Light
Density and Specific GravityReflection and refraction
Principle of ArchimedesSpherical mirrors and Lenses
Pressure BarometerHuman Eye
Motion of objectsNatural and Artificial Magnets
Velocity and AccelerationProperties of a Magnet
Newton’s Laws of MotionEarth as a Magnet
Force and MomentumStatic and Current Electricity
Parallelogram of ForcesConductors and Non-conductors
Stability and Equilibrium of bodiesOhm’s Law
GravitationSimple Electrical Circuits
Elementary ideas of workHeating, Lighting and Magnetic effects of Current
Power and EnergyMeasurement of Electrical Power
Effects of HeatPrimary and Secondary Cells
Measurement of Temperature and HeatUse 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.
Chemistry
Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon Dioxide, Oxidation and Reduction. Acids, bases and salts. Carbon— different formsPhysical and Chemical Changes
Fertilizers—Natural and ArtificialElements
Material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches and GunpowderMixtures and Compounds
Elementary ideas about the structure of AtomSymbols, Formulae and simple Chemical Equation
Atomic Equivalent and Molecular WeightsLaw of Chemical Combination (excluding problems)
ValencyProperties of Air and Water
General Science
Common Epidemics, their causes and preventionDifference between the living and non-living
Food—Source of Energy for manBasis of Life—Cells, Protoplasms and Tissues
Constituents of foodGrowth and Reproduction in Plants and Animals
Balanced DietElementary knowledge of Human Body and its important organs
The Solar System—Meteors and Comets, Eclipses. Achievements of Eminent Scientists 
History
Forces shaping the modern world; RenaissanceA broad survey of Indian History, with emphasis on Culture and Civilisation
Exploration and Discovery; War of American Independence, French Revolution, Industrial Revolution and Russian RevolutionFreedom Movement in India
Impact of Science and Technology on SocietyElementary study of Indian Constitution and Administration
Concept of one WorldElementary knowledge of Five Year Plans of India
United Nations, Panchsheel, Democracy, Socialism and CommunismPanchayati Raj
Role of India in the present worldCo-operatives and Community Development
A broad survey of Indian History, with emphasis on Culture and CivilisationBhoodan, Sarvodaya, National Integration and Welfare State
Basic Teachings of Mahatma Gandhi
Geography
The Earth, its shape and sizeOcean Currents and Tides Atmosphere and its composition
Latitudes and LongitudesTemperature and Atmospheric Pressure, Planetary Winds, Cyclones and Anticyclones; Humidity; Condensation and Precipitation
Concept of timeTypes of Climate
International Date LineMajor Natural regions of the World
Movements of Earth and their effectsRegional Geography of India—Climate, Natural vegetation. Mineral and Power resources; location and distribution of agricultural and Industrial activities
Origin of Earth. Rocks and their classificationImportant Sea ports and main sea, land and air routes of India
Weathering—Mechanical and Chemical, Earthquakes and VolcanoesMain items of Imports and Exports of India
Current Affairs
Knowledge of Important events that have happened in India in the recent yearsProminent personalities—both Indian and International including those connected with cultural activities and sports
Current important world events

Topic-wise distribution of questions in GAT

English

TopicNo. of QuestionsNo. of Marks
Spotting Errors520
Comprehension624
Selecting Words1040
Ordering of Words in a Sentence936
Sentence Improvement1040
Antonyms520
Synonyms520
Total50200

General Knowledge

TopicNo. of QuestionsNo. of Marks
Physics2392
Chemistry1664
General Science1144
History & Freedom Movement1664
Geography1768
Current Events1768
Total100400
Subjects Books 
Mathematics Mathematics for NDA and NA: National Defence Academy and Naval Academy by RS AggarwalQuantitative aptitude for competitive examinations by RS Aggarwal
GATHistory 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

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