NDA Syllabus 2020 PDF Download | NDA Maths and GS Exam Syllabus & Exam Pattern

NDA Syllabus 2020 PDF Download. NDA is one of the most popular exam for the 10+2 candidates looking for the career in Indian Armed Forces as an officer. We are here to provide you the latest syllabus for NDA written exam which held twice in a year.

NDA Syllabus 2020

UPSC NDA 2020 (1) Syllabus & Exam Pattern: UPSC NDA & NA 1 2020 Exam has been postponed. The syllabus of NDA 2020 has been divided into two parts namely Mathematics and General Ability Test. The General Ability Test will contain questions from various topics such as General Knowledge (GK), English, Chemistry, Physics, Geography, General Science and Current Events.

NDA Exam Pattern :

SubjectPaperTotal No of QuestionsDuration of ExamMaximum Marks
Mathematics11202 ½ Hours300
General Ability Test21502 ½ Hours600
Total270900

After qualifying the NDA 2020 entrance test, all candidates have to appear for NDA Interview. Details are as below:

Second RoundDurationMaximum Marks
SSB Interview4-5 days900
SubjectsNumber of QuestionsMarksMarking schemeNegative Marking
Mathematics120300+2.5-0.83
English50200+4-1.33
General Knowledge:100+4-1.33
Physics100
Chemistry60
General Science40
History, Freedom Movement, etc.80
Geography80
Current Events40
Grand Total270900
Important Dates for UPSC NDA I 2020 Exam
Dates for submission of online applications8th Jan to 28th Jan 2020
Last date for Online Payment28th January 2020 (6:00 PM)
Last date for Offline Payment (Pay by Cash)27th January 2020 (23:59 Hrs)
Facility to withdraw application form           4th Feb to 11th Feb 2020 
UPSC NDA & NA (I) 2020 SSB Written Exam19th Apr 2020 (SUNDAY) – Postponed
145th Course for the NDA and 107th Course for the Naval AcademyCommencing from 2nd January 2021

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 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 discretion to fix qualifying marks in any or all the subjects at the examination.
  7. The candidates are not permitted to use calculator or Mathematical or logarithmic table for answering objective type papers.
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.
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.
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.
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.
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.
Motion of objects, Velocity and Acceleration, Newton’s Laws ofMotion, 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 aMagnet.
Static and Current Electricity, conductors and Non-conductors,Ohm’s Law, Simple Electrical Circuits, Heating, Lighting and Magneticeffects of Current, Measurement of Electrical Power, Primary andSecondary 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’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.
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.
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.
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 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 andCivilisation. 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.
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.
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% weightages respectively

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