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NDA Exam Syllabus

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NDA Exam Pattern and Syllabus of 2018

  • It consists of two papers which are given in the table as below:
  • The first paper is Mathematics which is of 300 Marks. The duration of this paper is 2:30 hours
  • The second paper is of General Ability of 600 marks. The duration of this Exam also is 2:30 hours
  • After the Written Exam, those aspirants clear the exam give SSB interview which is of 900 marks total Marks -1800

NDA coaching in Chandigarh in sector 34 -A

NDA 2018 exam syllabus

Mathematics Syllabus:

The Mathematics paper covers the following chapters and topics:


  • Trigonometrical ratios
  • properties of triangles
  • Angles and their measures in degrees and in radians
  • Inverse trigonometric functions
  • Trigonometric identities Sum and difference formulae
  • Applications – Height and distance
  • Multiple and Sub-multiple angles.


  • Complex numbers – basic properties
  • modulus
  • Conversion of a number in decimal system to binary system and vice-versa
  • Arithmetic
  • the argument
  • cube roots of unity
  • Geometric and Harmonic Progressions
  • A solution of linear inequations of two variables by graphs
  • Representation of real numbers on a line
  • The binary system of numbers
  • Binomial theorem and its application
  • Quadratic equations with real coefficients
  • Permutation and Combination
  • Logarithms and their applications.

Differential Calculus:

  • Composite functions,
  • one to one
  • onto and inverse functions,
  • geometrical and physical interpretation of a derivative – applications
  • increasing and decreasing functions,
  •  Continuity of functions
  • algebraic operations on continuous functions
  • Application of derivatives in problems of maxima and minima
  • The concept of a real-valued function – domain, range, and the graph of a function
  • The notion of limit, Standard limits – examples, geometrical and physical interpretation of a derivative – applications, Derivative of a function at a point
  • Derivatives of sum
  • product and quotient of functions
  •  A derivative of a function with respect to another function
  •  A derivative of a composite function and Second order derivatives.

Vector Algebra: 

  • Vectors in two and three dimensions
  • scalar multiplication of the vector
  • scalar product or dot product of two vectors
  • Applications-work has done by a force and moment of a force, and in geometrical problems, magnitude and direction of a vector
  • Unit and null vectors, the addition of vectors
  • Vector product and cross product of two vectors.

Integral Calculus and Differential equations: 

  • Integration by substitution and by parts
  • trigonometric Definition of order and degree of a differential equation
  • formation of a differential equation by examples
  • exponential and hyperbolic functions
  • a solution of first order
  • first-degree differential equations of various types – examples, standard integrals involving algebraic expressions
  • Evaluation of definite integrals – determination of areas of plane regions bounded by curves – applications
  • General and particular solution of a differential equation, Integration as inverse of differentiation, Application in problems of growth and decay.

Matrices and Determinants: 

  • Types of Matrices
  • The determinant of a matrix
  • adjoint and the inverse of a square matrix
  • operations on matrices, Applications – Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method, basic properties of the determinant.

Analytical Geometry of two and three dimensions: 

  • Distance formula, Equation of a circle in standard and in general form
  • Ellipse and hyperbola
  • The angle between two lines
  • Rectangular Cartesian Coordinate system
  • The equation of a line in various forms
  • Standard forms of parabola
  • The distance of a point from a line
  • Eccentricity and axis of a conic.
  • Point in a three-dimensional space
  • the distance between two points
  • The equation of a plane and a line in various forms
  • The equation of a sphere
  • Direction Cosines and direction ratios
  • the angle between two lines and the angle between two planes.


  • Frequency distribution
  • Classification of data
  • cumulative frequency distribution – examples Graphical representation – Histogram,
  • Measures of Central tendency – mean, median and mode
  • Pie Chart
  • Frequency Polygon – examples, Variance and standard deviation
  • determination and comparison
  • Correlation and regression.


  • outcomes and associated sample space
  • Binomial distribution, Random experiment
  • examples of random experiments giving rise to Binominal distribution
  • events
  • mutually exclusive and exhaustive events
  • Bayes’ theorem – simple problems, impossible and certain events, Complementary,
  • elementary and composite events, Union and Intersection of events, Definition of probability – classical and statistical – examples, Conditional probability, Random variable as function on a sample space
  • Elementary theorems on probability – simple problems, Binomial distribution, examples of random experiments giving rise to Binominal distribution.

General Ability Syllabus

Part 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.

Part B

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

  • The motion of objects
  • Newton’s Laws of Motion
  • Force and Momentum
  • Parallelogram of Forces
  • Stability and Equilibrium of bodies
  • Gravitation, elementary ideas of work
  • Velocity and Acceleration
  • Power and Energy
  • Sound waves and their properties
  • Simple musical instruments
  • Natural and Artificial Magnets
  • Properties of a Magnet, Earth as a Magnet
  • Siphon
  • Levers
  • Balloon
  • Pumps
  • Hydrometer
  • Pressure Cooker
  • Thermos Flask
  • Gramophone
  • Telegraphs
  • Telephone
  • Periscope
  • Telescope
  • Microscope
  • Mariner’s Compass
  • Lightening Conductors
  • Safety Fuses
  • Simple Pendulum
  • Simple Pulleys
  • Physical Properties and States of Matter
  • Mass
  • Weight
  • Volume
  • Density and Specific Gravity
  • Principle of Archimedes
  • Pressure Barometer
  • Effects of 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
  • Measurement of temperature and heat
  • 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.

Section B – Chemistry

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

Section C – General Science

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

Section D – History

  • Freedom Movement in 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 knowledge of Five Year Plans of India
  • Elementary study of Indian Constitution and Administration
  • Panchayati Raj
  • 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
  • The concept of one World, United Nations
  • Panchsheel
  • Democracy
  • Socialism and Communism
  • Co-operatives and Community Development
  • Role of India in the present world.

Section E – Geography

  • Origin of Earth, Weathering – Mechanical and Chemical, Earthquakes, and volcanoes,
  • Atmosphere and its composition
  • Temperature and Atmospheric Pressure
  • Rocks and their classification
  • Planetary Winds
  • cyclones and Anti-cyclones
  • Humidity
  • Condensation and Precipitation
  • 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,
  • Types of Climate,
  • The Earth, its shape, and size
  • Latitudes 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.

Section F – Current Events

Current important world events, Knowledge of Important events that have happened in India in recent years, prominent personalities – both Indian and International including those connected with cultural activities and sports.

Contact Information for NDA Coaching

  • Name: Surbhi Academy
  • Address: SCO-54-55, 3rd and Top Floor, Sector 34-A,
  • Phone No: 9915109266, 9878375376

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