



NATIONAL DEFENCE ACADEMY AND NAVAL ACADEMY EXAMINATION Syllabus Date of notification NDA & NA (II) Exam 2019 : 7th August 2019 Kindly Note : TestBag now has exclusive microsite for NDA. Please click on nda.testbag.com for one stop on everything about NDA NATIONAL DEFENCE ACADEMY AND NAVAL ACADEMY EXAMINATION
Paper I MATHEMATICS (Maximum marks  300) 1. Algebra 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 viceversa. 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 application. Logarithms and their applications. 2.Matrices and Determinants Types of matrices, operations on matrices Determinant of a matrix, basic properties of determinant. Adjoint and inverse of a square matrix, Applications  Solution of a system of linear equations in two or three unknowns by Cramers 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 Submultiple 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 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 a function at a point, geometrical and physical interpreatation of a derivative  applications. Derivatives of sum, product and quotient of functions, derivative of a function with respect of 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. 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 vector, scalar product or dot product of twovectors. Vector product and cross product of two vectors. Applicationswork 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. Probability Random experiment, outcomes and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events. Paper II GENERAL ABILITY TEST (Maximum marks  600) Part A  ENGLISH (Maximum marks  200)
The question paper in English will be designed to test the candidates 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 candidates proficiency in English.
Part B  GENERAL KNOWLEDGE (Maximum marks  400) 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. Candidates answers are expected to show their knowledge and intelligent understanding of the subject. Section A (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, Newtons 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. Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet. Static and Current Electricity, conductors and Nonconductors, Ohms Law, Simple Electrical Circuits, Heating, Lighting and Magnetic effects of Current, Measurement of Electrical Power, Primary and Secondary Cells, Use of XRays. 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, Mariners Compass; Lightening Conductors, Safety Fuses. 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 GunPowder. Elementary ideas about the Structure of Atom, Atomic, Equivalent and Molecular Weights, Valency. Section C (General Science) Difference between the living and non living. Basis of Life  Cells, Protoplasms and Tissues. Growth and Reproduction in Plants and Animals. 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 Eminent Scientists. Section D (History, Freedom Movement etc.) A broad survey of Indian History, with emphasis on Culture and Civilisation. Freedom Movement in Elementary study of Indian Constitution and Administration. Elementary knowledge of Five Year Plans of India. Panchayati Raj, Cooperatives 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 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 Anticyclones; Humidity; Condensation and Precipitation; Types of Climate. Major Natural regions of the World. Regional Geography of Section F (Current Events) Knowledge of Important events that have happened in Current important world events. Prominent personalities  both Indian and International including those connected with cultural activities and sports. Kindly 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.
Intelligence and personality test The SSB procedure consists of two stage Selection process  stage I and stage II. Only those candidates who clear the stage I are permitted to appear for stage II. The details are :
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Note : The information provided here is just indicative
information and is provided on “as is”
and “as available” basis . We make no
claims on accuracy and reliability of the information.
For correct/current information kindly contact concerned
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NATIONAL DEFENCE ACADEMY AND NAVAL ACADEMY EXAMINATION Syllabus Date of notification NDA & NA (II) Exam 2019 : 7th August 2019 Kindly Note : TestBag now has exclusive microsite for NDA. Please click on nda.testbag.com for one stop on everything about NDA NATIONAL DEFENCE ACADEMY AND NAVAL ACADEMY EXAMINATION
Paper I MATHEMATICS (Maximum marks  300) 1. Algebra 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 viceversa. 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 application. Logarithms and their applications. 2.Matrices and Determinants Types of matrices, operations on matrices Determinant of a matrix, basic properties of determinant. Adjoint and inverse of a square matrix, Applications  Solution of a system of linear equations in two or three unknowns by Cramers 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 Submultiple 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 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 a function at a point, geometrical and physical interpreatation of a derivative  applications. Derivatives of sum, product and quotient of functions, derivative of a function with respect of 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. 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 vector, scalar product or dot product of twovectors. Vector product and cross product of two vectors. Applicationswork 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. Probability Random experiment, outcomes and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events. Paper II GENERAL ABILITY TEST (Maximum marks  600) Part A  ENGLISH (Maximum marks  200)
The question paper in English will be designed to test the candidates 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 candidates proficiency in English.
Part B  GENERAL KNOWLEDGE (Maximum marks  400) 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. Candidates answers are expected to show their knowledge and intelligent understanding of the subject. Section A (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, Newtons 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. Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet. Static and Current Electricity, conductors and Nonconductors, Ohms Law, Simple Electrical Circuits, Heating, Lighting and Magnetic effects of Current, Measurement of Electrical Power, Primary and Secondary Cells, Use of XRays. 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, Mariners Compass; Lightening Conductors, Safety Fuses. 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 GunPowder. Elementary ideas about the Structure of Atom, Atomic, Equivalent and Molecular Weights, Valency. Section C (General Science) Difference between the living and non living. Basis of Life  Cells, Protoplasms and Tissues. Growth and Reproduction in Plants and Animals. 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 Eminent Scientists. Section D (History, Freedom Movement etc.) A broad survey of Indian History, with emphasis on Culture and Civilisation. Freedom Movement in Elementary study of Indian Constitution and Administration. Elementary knowledge of Five Year Plans of India. Panchayati Raj, Cooperatives 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 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 Anticyclones; Humidity; Condensation and Precipitation; Types of Climate. Major Natural regions of the World. Regional Geography of Section F (Current Events) Knowledge of Important events that have happened in Current important world events. Prominent personalities  both Indian and International including those connected with cultural activities and sports. Kindly 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.
Intelligence and personality test The SSB procedure consists of two stage Selection process  stage I and stage II. Only those candidates who clear the stage I are permitted to appear for stage II. The details are :
Tags: NDA Exam Pattern, NDA Mock Test, NDA Exam Syllabus, NDA Exam Analysis, NDA Eligibility, NDA Exam Dates, NDA Schedule and Exam Centres, NDA Cut Off’s, NDA Notifications, NDA Subjects, NDA Topics, NDA Question Types, NDA application form , NDA admit card , NDA Syllabus , National Defence Academy Exam Pattern, National Defence Academy Mock Test, National Defence Academy Exam Syllabus, National Defence Academy Exam Analysis, National Defence Academy Eligibility, National Defence Academy Exam Dates, National Defence Academy Schedule And Exam Centres, National Defence Academy Cut Off’s, National Defence Academy Notifications, National Defence Academy Subjects, National Defence Academy Topics, National Defence Academy Question Types, National Defence Academy Application Form , National Defence Academy Admit Card , National Defence Academy Syllabus , nda question papers, nda previous exam papers, nda sample paper, nda old papers , nda results, nda online test series, online test series for nda exam, online test series for national defence academy and naval academy, nda exam mock test subscribe now online ,nda exam mock test syllabus, nda exam mock test, nda sample paper maths, nda question papers with answers, nda question paper with solution, nda question, nda practice paper, nda general ability paper, nda general ability test question paper with answers , nda general ability test study material , nda practice papers with solutions , nda general ability test online , nda general ability test syllabus, nda result Kindly
Note : The information provided here is just indicative
information and is provided on “as is”
and “as available” basis . We make no
claims on accuracy and reliability of the information.
For correct/current information kindly contact concerned
college/institution/authorities


