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. This Article is About National Defence Academy (NDA) Exam Syllabus :

 

Nda Exam Syllabus – Written

 

Paper I (Maths):  

1.	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	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.
3	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 Three-Dimensional 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.
4	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.
5	Differential Calculus	Concept Of A Real-Valued 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. Second Order Derivatives. Increasing And Decreasing Functions. Application of Derivatives in Problems of Maxima and Minima.
6	Integral Calculus	Integration As Inverse Differentiation. Integration By Parts And Substitution. Standard Integrals Involving Expression Of Algebraic. Hyperbolic And  Exponential Function. Trigonometric. Evaluation of Definite Integrals – Determination of Areas of Plane Regions Bounded By Curves – Applications.
7	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
8	Statistics	Classification Of Data . Frequency Distribution. Cumulative Frequency Distribution. 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.
9	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.
10	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.

  Paper II (General Ability): This Paper Is Divided into Two Parts. Part A (English) And Part B (General Knowledge) Part A – English  

Part A

English

Grammar And Usage Vocabulary Comprehension And Cohesion In Extended Text Use Of Words

  Part B – General Knowledge  

1	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 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 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.
2	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 Fertilisers – 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
3	General Science	Difference Between The Living And Non-Living 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
4	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 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
5	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 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
6	Current Events	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