NDA Exam Syllabus & NDA Exam Pattern
"Wearing the uniform is a matter of pride, It’s not just a profession it’s an emotion, An emotion of serving your nation, An emotion of putting 100 +crores of citizens of this great nation before you, an emotion of protecting the life & pride of those billions even to the peril of your life."
If these lines gave you the Goosebumps, Yes this for you!!!
There are various entry scheme for getting into officer cadre of Indian defence services, NDA being the earliest and the most elite option. UPSC conducts NDA and NA examination on biannual basis for admission into the prestigious National Defence Academy and Naval Academy, which ultimately results into service entry to Indian Armed forces viz Indian Army, Indian Airforce and Indian Navy. NDA is a paper based examination covering topics from Mathematics, English and General Awareness. This exam is open for students of class 11th and class 12th.
May it be any exam a proper exam strategy is a must. Mycollegebag has curated the detail NDA syllabus and NDA exam patterns, that will help you prepare for this prestigious examination.
Download the NDA Exam syllabus, go through the NDA exam pattern and couple it with NDA question papers to give an extra edge to your preparation.
There are various entry scheme for getting into officer cadre of Indian defence services, NDA being the earliest and the most elite option. UPSC conducts NDA and NA examination on biannual basis for admission into the prestigious National Defence Academy and Naval Academy, which ultimately results into service entry to Indian Armed forces viz Indian Army, Indian Airforce and Indian Navy. NDA is a paper based examination covering topics from Mathematics, English and General Awareness. This exam is open for students of class 11th and class 12th.
May it be any exam a proper exam strategy is a must. Mycollegebag has curated the detail NDA syllabus and NDA exam patterns, that will help you prepare for this prestigious examination.
Download the NDA Exam syllabus, go through the NDA exam pattern and couple it with NDA question papers to give an extra edge to your preparation.
NDA Exam Pattern
There will be two papers, each of 2 hours 30 min duration , First paper being Mathematics and Second being General Ability Test, which further divides into English and General awareness. Mathematics portion carries 300 marks while General ability carries 600 marks
Sections 
Time 
Marks 
Mathematics 
2 Hours 30 Min 
300 Marks 
General Ability Test English General Awareness 
2 Hours 30 Min 
200 Marks 400 Marks 
Syllabus of NDA Entrance Exam
In this section you will find detailed topic wise upsc nda syllabus.
Paper 1 NDA Mathematics Syllabus
(i) Algebra : Concept of a set, operations on sets, Venn diagrams. De Morgan laws. Cartesian product, relation, equivalence relation. Representation of real number on a line Complex numbersbasic 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 inequiations of two variables by graphs. Permutation and Combination. Binomial theorem and its applications. Logarithms and their applications.
(ii) Matrices and Determinants : Types of matrices, operations on matrices. Determinant of a matrix basic properties of determinants. Adjoint and inverse of a square matrix ApplicationsSolution of a system of linear equations in two or three unknowns by Cramer's rule and by Matrix Method.
(iii) 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. ApplicationsHeight and distance, properties of triangles.
(iv) Analytical Geometry of Two the 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 Cosinesand 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.
(v) Differential Calculus : Concept of a real valued functiondomain, range and graph of a function. Composite functions, one to one, onto and inverse functions. Notion of limit, Standard limitsexamples. Continuity of functionsexamples, algebraic operations on continuous functions. Derivative of function at a point, geometrical and physical interpretation of a derivativeapplications. 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.
(vi) 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 integralsdetermination 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 typesexamples. Application in problems of growth and decay.
(vii) 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. Applicationswork done by a force and moment of a force and in geometrical problems.
(viii)Statistics and Probability :
Statistics : Classification of data, Frequency distribution, Cumulative frequency distribution examples. Graphical representationHistogram, Pie Chart, frequency polygonexamples. Measure 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 probabilityclassical and statisticalexample. Elementary theoremes on probabilitysimple problems. Conditional probability, Baye's theoremsimple problems. Random variable as function on a sample space. Binomial distribution, examples of random experiments giving rise to Binomial distribution.
(ii) Matrices and Determinants : Types of matrices, operations on matrices. Determinant of a matrix basic properties of determinants. Adjoint and inverse of a square matrix ApplicationsSolution of a system of linear equations in two or three unknowns by Cramer's rule and by Matrix Method.
(iii) 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. ApplicationsHeight and distance, properties of triangles.
(iv) Analytical Geometry of Two the 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 Cosinesand 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.
(v) Differential Calculus : Concept of a real valued functiondomain, range and graph of a function. Composite functions, one to one, onto and inverse functions. Notion of limit, Standard limitsexamples. Continuity of functionsexamples, algebraic operations on continuous functions. Derivative of function at a point, geometrical and physical interpretation of a derivativeapplications. 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.
(vi) 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 integralsdetermination 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 typesexamples. Application in problems of growth and decay.
(vii) 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. Applicationswork done by a force and moment of a force and in geometrical problems.
(viii)Statistics and Probability :
Statistics : Classification of data, Frequency distribution, Cumulative frequency distribution examples. Graphical representationHistogram, Pie Chart, frequency polygonexamples. Measure 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 probabilityclassical and statisticalexample. Elementary theoremes on probabilitysimple problems. Conditional probability, Baye's theoremsimple problems. Random variable as function on a sample space. Binomial distribution, examples of random experiments giving rise to Binomial distribution.
NDA Paper 2 General Ability Syllabus
This paper consists of two sections Part A & Part B
Part–'A' English
The question paper in English are designed to test the candidate's understanding of English and workman like use of words. The syllabus covers various aspects like.
Part–'B' General Knowledge
The question paper on General Knowledge will broadly cover the subjects. Physics, Chemistry, General Science, Social Studies, Geography and Current Events.
The question paper in English are designed to test the candidate's understanding of English and workman like use of words. The syllabus covers various aspects like.
Part–'B' General Knowledge
The question paper on General Knowledge will broadly cover the subjects. Physics, Chemistry, General Science, Social Studies, Geography and Current Events.
Detailed NDA Paper 2 Syllabus

English

Physics

Chemistry

General Science

Social Science
<
>
 Grammar and usage : Syntax, Time and Tense, Article, Noun, Pronoun, Adjective, Verb, Adverb, Conjunction, Preposition, Common Error.
 Comprehension, Close Test, Sentence arrangement, Sentence improvement, Sentence fillers.
 Vocabulary : Synonyms, Antonyms, Paronyms, Phrasal verb, Prepositional verb, Idioms and Phrases
Section–'A' (Physics)
1. Mass, Weight, Volume, Density and Specific Gravity, Principle of Archimeders, Pressure Barometer. 2. Motion of Object, Velocity and Acceleration.
3. Newton's Laws of Motion, Forces and Momentum, Parallelogram of Force, Stability and Equilibrium of Bodies.
4. Elementary Ideas of Work, Power and Energy.
5. Gravitation.
6. Physical Properties and States of Matter.
7. Effects of Heat, Measurement of Temperature and Heat.
8. Change of State and Latent Heat, Modes of Transference of Heat.
9. Sound Waves and their Properties, Simple Musical Instruments.
10. Rectilinear Propagation of Light– (i) Refraction (ii) Reflection
11. Spherical Mirrors and Lenses, Human Eye.
12. Natural and Artificial Magnet. Properties of a Magnet, Earth as a magnet.
13. Static and Current Electricity. Conductors and Non Conductors.
14. Ohm's Law, Electrical Circuits. Primary and Secondary Cells.
15. Heating, Lighting and Magnetic Effects of Current, Measurement of Electrical Power.
16. Use of Xrays.
17. General Principles in the working of the following.
18. 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, Fuse.
1. Mass, Weight, Volume, Density and Specific Gravity, Principle of Archimeders, Pressure Barometer. 2. Motion of Object, Velocity and Acceleration.
3. Newton's Laws of Motion, Forces and Momentum, Parallelogram of Force, Stability and Equilibrium of Bodies.
4. Elementary Ideas of Work, Power and Energy.
5. Gravitation.
6. Physical Properties and States of Matter.
7. Effects of Heat, Measurement of Temperature and Heat.
8. Change of State and Latent Heat, Modes of Transference of Heat.
9. Sound Waves and their Properties, Simple Musical Instruments.
10. Rectilinear Propagation of Light– (i) Refraction (ii) Reflection
11. Spherical Mirrors and Lenses, Human Eye.
12. Natural and Artificial Magnet. Properties of a Magnet, Earth as a magnet.
13. Static and Current Electricity. Conductors and Non Conductors.
14. Ohm's Law, Electrical Circuits. Primary and Secondary Cells.
15. Heating, Lighting and Magnetic Effects of Current, Measurement of Electrical Power.
16. Use of Xrays.
17. General Principles in the working of the following.
18. 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, Fuse.
Section–'B' (Chemistry)
1. Physical and Chemical Changes, Elements, Mixtures and Compounds.
2. Symbols, Formulae and Simple Chemical Equations, Law of Chemical Combinations (excluding problems)
3. Elementary ideas about the structure of Atom.
4 Oxidation and Reduction.
5. Acids, Bases and Salts.
6. Valency, Atomic, Equivalent and Molecular Weights.
7. Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbondioxide; Properties of
Air and Water.
8. CarbonDifferent Forms.
9. Fertilizers–Natural and Artificial.
10. Materials used in the preparations of substances like Soap, Glass, Ink, Paper, Cement, Paints,
Safety Matches and GunPowder.
1. Physical and Chemical Changes, Elements, Mixtures and Compounds.
2. Symbols, Formulae and Simple Chemical Equations, Law of Chemical Combinations (excluding problems)
3. Elementary ideas about the structure of Atom.
4 Oxidation and Reduction.
5. Acids, Bases and Salts.
6. Valency, Atomic, Equivalent and Molecular Weights.
7. Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbondioxide; Properties of
Air and Water.
8. CarbonDifferent Forms.
9. Fertilizers–Natural and Artificial.
10. Materials used in the preparations of substances like Soap, Glass, Ink, Paper, Cement, Paints,
Safety Matches and GunPowder.
Section–'C' (General Science)
 Difference between the living and nonliving.
 Basis of Life – Cell, Protoplasms and Tissues.
 Growth and Reproduction in plants and Animals.
 Elementary knowledge of Human Body and its Important Organs.
 Common Epidermics, their Causes and Prevention.
 FoodSources of Energy for Man, Constituent of Food, Balance 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 India.
 Elementary study of Indian constitution and Administration.
 Elementary knowledge of Five Year Plans of India.
 Panchayat 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 India in the present world.
 The Earth, its shape and size. Latitudes and Longitudes, Concept of time. International Date
 Line. Movements of Earth and their effects. Origin of earth Rocks and their classification; WeatheringMechanical 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 IndiaClimate, 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.
 Knowledge of Important events that have happened in India in the recent years.
 Current important world events.
 Prominent personalitiesboth Indian and International including those connected with cultural
 activities and sports
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