Subject : Syllabus

Topic : NDA

Tag : 2017

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The National Defence Academy (NDA) and Naval Academy (NA) Exam is conducted by Union Public Service Commission UPSC.

This is a golden opportunity for candidates planning to make a bright career in the Indian Defence Forces.

The exam gets conducted twice a year in different centres across India.

This is a golden opportunity for candidates planning to make a bright career in the Indian Defence Forces.

The exam gets conducted twice a year in different centres across India.

The NDA exam is held twice a year, usually in the month of:

a) March-April

b) August-Sept

Candidates planning to appear in NDA Exam 2017, can start preparing for next year exam with Exxamm.com. The tentative exam schedule for the NDA Exam 2017 is given on the right.

a) March-April

b) August-Sept

Candidates planning to appear in NDA Exam 2017, can start preparing for next year exam with Exxamm.com. The tentative exam schedule for the NDA Exam 2017 is given on the right.

The time duration for NDA 2017 written exam was 5 hours, of which 2 hours and 30 minutes for each of the two papers. The written exam was of total 900 marks, where Maths paper was of 300 marks and General Ability for 600 marks.

Papers consisted of objective type questions and the question papers (Maths & General Ability) were set in both English and Hindi.

The exam was conducted in pen and paper mode.

One-Third mark was deducted for each wrong answer. In case a candidate marked more than one response for any question, it is treated as a wrong answer and negative marking was applied.

The paper will be of both language Hindi & English.

Papers consisted of objective type questions and the question papers (Maths & General Ability) were set in both English and Hindi.

The exam was conducted in pen and paper mode.

One-Third mark was deducted for each wrong answer. In case a candidate marked more than one response for any question, it is treated as a wrong answer and negative marking was applied.

The paper will be of both language Hindi & English.

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The Mathematics paper for NDA Exam 2017 during the month of April was quiet long and consisted of questions from class XI and XII syllabus.

The paper was moderate to difficult and it was more than enough if students had attempted at least 65% answers correctly in this section.

`1.text( Algebra :)`

Concept of a 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 application. Logarithms and their applications.

`2. text(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. text(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. text(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. text(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 – 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. text(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. Definition of order and degree of a differential equation, formation of a differential equation by examples. General and particular solution of a differential equation, solution of first order and first degree differential equations of various types – examples. Application in problems of growth and decay.

`text (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 two-vectors. Vector product and cross product of two vectors. Applications-work done by a force and moment of a force, and in geometrical problems.

8. Statistics and Probability

`text(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.

`text(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

The paper was moderate to difficult and it was more than enough if students had attempted at least 65% answers correctly in this section.

`1.text( Algebra :)`

Concept of a 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 application. Logarithms and their applications.

`2. text(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. text(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. text(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. text(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 – 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. text(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. Definition of order and degree of a differential equation, formation of a differential equation by examples. General and particular solution of a differential equation, solution of first order and first degree differential equations of various types – examples. Application in problems of growth and decay.

`text (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 two-vectors. Vector product and cross product of two vectors. Applications-work done by a force and moment of a force, and in geometrical problems.

8. Statistics and Probability

`text(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.

`text(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

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`P a r t A`

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

` P a r t B `

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

`text(Section A – Physics)`

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, Sound waves and their properties, Simple musical instruments, Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet, Simple Pendulum, Simple Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightening Conductors, Safety Fuses, Physical Properties and States of Matter, Mass, Weight, Volume, Density and Specific Gravity, Principle of Archimedes, Pressure Barometer, Effects of Heat, Measurement of temperature and 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, 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.

`text(Section B – Chemistry)`

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

`text(Section C – General Science)`

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

`text(Section D – History)`

Freedom Movement in India, Elementary knowledge of Five Year Plans of 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 study of Indian Constitution and Administration, Panchayati Raj, Co-operatives and Community Development, 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.

`text(Section E – Geography)`

Origin of Earth, Rocks and their classification; Weathering – Mechanical and Chemical, Earthquakes and volcanoes, 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, Important Sea ports and main sea, land and air routes of India. Main items of Imports and Exports of India, The Earth, its shape and size. Lattitudes 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.

`text(Section F – Current Events)`

Current important world events, 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.

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 consists of the topic not discussed here.

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

` P a r t B `

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

`text(Section A – Physics)`

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, Sound waves and their properties, Simple musical instruments, Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet, Simple Pendulum, Simple Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightening Conductors, Safety Fuses, Physical Properties and States of Matter, Mass, Weight, Volume, Density and Specific Gravity, Principle of Archimedes, Pressure Barometer, Effects of Heat, Measurement of temperature and 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, 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.

`text(Section B – Chemistry)`

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

`text(Section C – General Science)`

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

`text(Section D – History)`

Freedom Movement in India, Elementary knowledge of Five Year Plans of 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 study of Indian Constitution and Administration, Panchayati Raj, Co-operatives and Community Development, 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.

`text(Section E – Geography)`

Origin of Earth, Rocks and their classification; Weathering – Mechanical and Chemical, Earthquakes and volcanoes, 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, Important Sea ports and main sea, land and air routes of India. Main items of Imports and Exports of India, The Earth, its shape and size. Lattitudes 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.

`text(Section F – Current Events)`

Current important world events, 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.

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 consists of the topic not discussed here.

NDA 2017 eligibility criteria is prescribed by the UPSC is same as in 2016. No change is marked for year 2017. The eligibility criteria is defined in four categories like Nationality, Marital Status, Age limit, Educational Qualification and Physical Standard. Candidates should strictly meet the eligibility criteria for appearing this exam. The detailed criteria is as following:

`text (Nationality :)`

Candidate must be a citizen of India/ a subject of Bhutan/ a subject of Nepal/ a Tibetan refugee who came over to India before 1st January, 1962 with the intention of permanently settling in India.

`text(Marital Status)`

Only unmarried male candidates are eligible to apply.

`text(NDA 2017 Age Limit: :)`]

1. For `text(NDA I,)` candidates born not before `2^(nd) J u l y, 1998` and not later than `1^(st) J u l y , 2001` are eligible to apply.

2.For `text(NDA II),` students not born before `2^(n d) J a n u a r y , 1999` and not later than `1 ^(st) J a n u a r y, 2002` are eligible to apply.

`text(Educational Qualifications: )`

`text(For Air Force and Naval Wings of National Defence Academy and for the 10+2 Cadet Entry Scheme at the Indian Naval Academy:)` Candidates must have passed `12^(t h)` or equivalent examination with Physics and Mathematics subjects from any State Education Board or a University.

`text(For Army Wing of National Defence Academy:)` candidates must have passed class `12^(t h)` or equivalent exam organized by any State Education Board or a University.

`12^(t h)` or equivalent exam appearing candidates are also eligible to apply.

`text (Nationality :)`

Candidate must be a citizen of India/ a subject of Bhutan/ a subject of Nepal/ a Tibetan refugee who came over to India before 1st January, 1962 with the intention of permanently settling in India.

`text(Marital Status)`

Only unmarried male candidates are eligible to apply.

`text(NDA 2017 Age Limit: :)`]

1. For `text(NDA I,)` candidates born not before `2^(nd) J u l y, 1998` and not later than `1^(st) J u l y , 2001` are eligible to apply.

2.For `text(NDA II),` students not born before `2^(n d) J a n u a r y , 1999` and not later than `1 ^(st) J a n u a r y, 2002` are eligible to apply.

`text(Educational Qualifications: )`

`text(For Air Force and Naval Wings of National Defence Academy and for the 10+2 Cadet Entry Scheme at the Indian Naval Academy:)` Candidates must have passed `12^(t h)` or equivalent examination with Physics and Mathematics subjects from any State Education Board or a University.

`text(For Army Wing of National Defence Academy:)` candidates must have passed class `12^(t h)` or equivalent exam organized by any State Education Board or a University.

`12^(t h)` or equivalent exam appearing candidates are also eligible to apply.

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Aspirants should be in good physical and mental health as per the guidelines given on the right.

The minor ailments/defects that candidates can rectify after recommended at the SSB are wax (ears), piles, under-weight and Tonsillitis, etc.

For more information regarding the physical standards, please refer to the PDF of the official document to the right.

The minor ailments/defects that candidates can rectify after recommended at the SSB are wax (ears), piles, under-weight and Tonsillitis, etc.

For more information regarding the physical standards, please refer to the PDF of the official document to the right.

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Stages of NDA 2 Cutoff 2016

1. Mathematics

Candidates have to score 30% marks in Mathematics which is 90 marks out of 300 to qualify.

2. General Ability Test (GAT)

Candidates have to score 30% marks in GAT which is 180 marks out 600 to qualify.

1. Mathematics

Candidates have to score 30% marks in Mathematics which is 90 marks out of 300 to qualify.

2. General Ability Test (GAT)

Candidates have to score 30% marks in GAT which is 180 marks out 600 to qualify.