NDA Syllabus 2020 comprises of Mathematics & General Ability sections. National Defence Academy (NDA) Entrance Exam Is Conducted By Union Public Service Commission (UPSC) For Enrolling Candidates To The Indian Defense Forces That Includes Indian Army, Indian Navy, And Indian Air Force. The National Defence Academy (NDA) Exam Is Carried Out Twice In A Year.NDA (I) In The Month Of April And NDA (II) In The Month Of September.
UPSC conducts the National Defence Academy (NDA) Exams Which Includes Interviews Covering General Aptitude, Psychological Testing, TeamBuilding Skills Along With Physical And Social Skills And Medical Tests. It’s Not That Easy At All.
So This Article Is All About The Paper Pattern And The Syllabus For National Defence Academy (NDA) 2016. Hope This Might Help You
National Defence Academy (NDA) Exam Paper Pattern
Subject  Duration  Maximum Marks 
Mathematics (Paper1)  2 ½ Hours  300 Marks 
General Ability Test (Paper 2)  2 ½ Hours  300 Marks 
Total  –  900 Marks 
SSB (Services Selection Board) Interview. 900 Marks 
National Defence Academy (NDA) Syllabus
Subject – Mathematics (Paper 1)
Sections  Concepts(Topics) 
Algebra   Operations On Sets
 Venn Diagrams De Morgan Laws
 Cartesian Product Relation
 Equivalence Relation
 Representation Of Real Numbers On ALine
 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
 Concept Of A Set

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 Cramer’s Rule and By Matrix Method.

Analytics 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 ThreeDimensional Space, Distance between Two Points.
 Direction Cosines and Direction Ratios.
 The equation of a Plane and a Line in Various Forms.
 The angle between Two Lines and Angle between Two Planes.
 The equation of a Sphere.

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.

Differential Calculus   Concept Of A RealValued Function – Domain
 Range And Graph Of A Function
 Composite Functions
 Derivative Of Function At A Point
 Derivatives Of Sum
 Product And Quotient Of Functions
 Derivative Of A Function With Respect Of Another Function
 Derivative Of A Composite Function
 SecondOrder Derivatives
 Increasing And Decreasing Functions
 Application of Derivatives in Problems of Maxima and Minima.

Integral Calculus   Integration As Inverse Differentiation
 Integration By Parts And Substitution
 Standard Integrals Involving Expression Of Algebraic,
 Trigonometric,
 Evaluation of Definite Integrals – Determination of Areas of Plane Regions
 Bounded By Curves – Applications.

Differential Equations   Definition Of Order And Degree Of A Differential Equation
 Formation Of A Differential Equation
 General And Particular Solution Of A Differential Equation
 Solution Of First Order And First Degree Differential Equations Of Various Types
 Application In Problems Of Growth And Decay

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
 Union And Intersection Of Events
 Complementary
 Elementary And Composite Events
 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.

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

Subject – General Ability (Paper 2)
This Paper Is Divided into Two Parts. Part A (English Paper) And Part B (General Knowledge Paper)
Part A –English Paper
English Section   Grammar And Usage
 Vocabulary
 Comprehension And Cohesion In Extended Text
 Use Of Words

Part B GK
General Knowledge:  The question paper comprises of general knowledge and covers the subjects that include Physics, Chemistry, Social Studies, General Science, Geography and Current Events. 
Section A Physics   Physical Properties And States Of Matter
 Mass
 Weight
 Volume
 Density
 Specific Gravity
 Principle Of Archimedes
 Pressure Barometer.
 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.
 Natural And Artificial Magnets
 Properties Of A Magnet
 Earth as a Magnet.
 Static And Current Electricity
 Conductors And NonConductors
 Ohm’s 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 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.

Section B Chemistry   Physical and Chemical Changes.
 Elements Mixtures And Compounds Symbols Formulae
 Simple Chemical Equations Law Of Chemical Combination (Excluding Problems).
 Properties Of Air And Water.
 Preparation And Properties Of Hydrogen, Oxygen, Nitrogen, Carbon Dioxide, 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 NonLiving
 Basis Of Life – Cells, Protoplasm’s 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(Important) Scientists

Section D History Freedom Movement   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, CoOperatives AndCommunity 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
 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.

Section E Geography   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
 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 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.

Section current Affairs   Knowledge Of Important Events That Have happened In India In The Recent Years
 Current Important World Events
 Famous Personalities – Both Indian And International Including Those Connected With Cultural Activities And Sports.

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