NDA Syllabus 2020 Download in PDF @upsc

Subject Duration Maximum Marks
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
  • Both The National Defence Academy (NDA) 1 And National Defence Academy (NDA) 2 Exam Consist Of Two Papers. The first One Is Mathematics And The Second One Is General Ability Test.
  • Mathematics: The Mathematics Paper Carries Out 300 Marks And Consists Of Mcqs Based On The Syllabus Of Class 10th, 11th And 12th. The Duration Of This Exam Will Be 2.5 Hours. There Is Also A Negative Marking For The Wrong Responses Given By Candidates.
  • General Ability: In This Part There Are Two Sections. The first Section Is Of English With 200 Marks And The Second Section Consists Of General Knowledge With 400 Marks.
  • The Paper Will Be Of Multiple Choice Question With Four Options In Which Candidates Have To Choose The Correct One.
  • There Will Be 120 Questions Of 300 Marks In Paper I And 150 Questions Of 600 Marks In Paper II.
  • Marks For SSB Interview Is 900 Marks

National Defence Academy (NDA) Syllabus

Subject – Mathematics (Paper 1)

  Sections Concepts(Topics)
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 – 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

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

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


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.

•     Fertilizers – 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 ·         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, 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 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.