# NDA Exam Syllabus

## 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 2018 exam syllabus

### Mathematics Syllabus:

The Mathematics paper covers the following chapters and topics:

Trigonometry:

• 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.

Algebra:

• 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.

Statistics:

• 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.

Probability:

• 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
• 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

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

## Quick Enquiry

(For Bank PO/SSC/UGC.NET, CLAT, NDA & CDS classes) 