NDA Full Form is - National Defense Academy. It was established on 1 December 1954. This examination is conducted by UPSC (Union Public Service Commission). This examination is conducted for recruitment in Army, Air Force, Navy. NDA exam is an entry level exam in which only children between the age ...
NDA Full Form is - National Defense Academy. It was established on 1 December 1954. This examination is conducted by UPSC (Union Public Service Commission). This examination is conducted for recruitment in Army, Air Force, Navy. NDA exam is an entry level exam in which only children between the age of 17.5 years to 19.5 years can participate. In this exam, questions are asked from two subjects which include Mathematics, General Ability Test (GAT).
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Language: en
Added: May 23, 2024
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NDA Syllabus & Exam Pattern 2024
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Mathematics Topics
Algebra
‘Concepts of sets Operations on sets Ven Diagram ‚De-morgan laws, Cartesian
Product Relation Equivalence relation Representation of real number on a line, Complex:
number. 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 progression Quadratic, equations with real coeiients Solution of
linear inequalities of two variable by graphs,Permutation and combination Binomial theorem and
its application Logarithms
Matrices and Determinants
‘Types of matrices, Operation on matices Determinants of a matrix Basic properties of
Determinants Adjoint and inverse of a square matrix Application solution ofa system of linear
equations in to or three unknown by cramars rule and by matrix method
Trigonometry
‘Angles and their measures in degree and in radians, Trigonometric ratio, rigonometric identities
Sum and difference formulas Multiple and sub-mutiple angle Inverse trigonometric
function.Applications- height and distance ‚Properties of tangles.
Analytical 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 tine, Equation of a cicle In standard
and in general form Standard forms of parabola Ellipse and hyperbola.Eccentcity and existing
‘of a conic, Point in a three dimensional space between two point Direction cosines and direction
ratio Equation ofa plano and a Ine in various form Angle betwoen two Ines and angle between
‘wo planes, Equation ofa sphere
Differential Calculus
Concepts of real valued function domain Range and graph of a function Composite function
‚One to one inverse function Notion of imi, Standard limits examples,Continuous
functions, Derivative of function at a point Geomagnetic and physical interpretation of a
derivative application Derivatives of sum Product and quotient of function Derivative of a
function with respect to another function Derivative of a composite function Second order
derivative Increasing and decreasing functions. Application of derivatives in problem of maxima
and minima
Integral Calculus and Differential Equations
Integration as inverse of differentiation Integration by substitution and by parts Standard
Integrals involving algebraic expression .Trigonometric Exponential and hyperbolic
functions Evaluation of defnite ntegrals-determination of areas of plane regions bounded by
‘curves: applications Definition of order and degree of a diferentil equations, Formation of a
differential equations by exomple General and particular solution ofa differential equation of
various types
Vector Algebra
Vector in two and three dimensions Magnitude and direction of a vector Unit and mul
vector Addition of vector Scalar multiplication of a vector Scalar product or dot product of wo
vector Vector product or cross product of two vector Applicaton - work done by a force and
moment ofa force and in geometrical problem Statistics and Probabiliy
statistics Topics
Classification of data Frequency distribution Cumulative frequency distribution Graphical
representation - histogram Pie chart Frequency polygon - examples Measures of central
tendency - mean.Median and made, Variance and standard deviation - determination and
comparison Correlation and regression
Probability Topics
Random experiment ‚Oulcomes and associated, Sample space Events Mutually exclusive and
‘exhaustive events Impossible and certain events Union and intersection of
‘events, Complementary Elementary and composite events Definition of Probabiliy- classical
‘and statistical examples Elementary theorems on probably - simple problem Random variable
as function on a simple space,Condtional probability Bayes thecrem- simple problem Binomial
distribution Example of random experiments giving rise to binomial distribution
Soctions-A (Physics)
Physical properties and states of matter
Mass
Weicht
Volume
Density and specie graviy
Principio of Archimedes.
Pressure barometer
Mention of objects
Velocity and acceleration
[Nowion’s laws of mation
Force and momentum
Paralllogram of forces
Stabilty and equilibrium of bodies
Gravitation
Elementary ideas of work
Power of anergy
Effects of neat
Measurement of temperature and heat
Measurement of temperature and heat
Change of seat and latent 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.
Rectiingar propagation of light
Reflection and refraction
‘Spherical mirrors and lenses
Human eyes.
[Natural and artfial magnets
Properties of a magnet
Earth as a magnet
Static and current electricity
‘Conductors and non conductor
Ohms law
Simple electrical creuts
Heating lighting and magnetic effects of current
Measurement of electrical power
Primary and secondary cells
Use of X-rays
Simple pendulum
‘Simple pulleys
Siphon
Lovers
Balloon
Pumps
hydrometer
Pressure cooker
‘Thermos flask
Gramophone
Telegraohs
Telephone
Periscope
Telescope
Microscope
Mariner's compass
Safety ses
Section-B(Chomistry)
Physical and chemical changes
Elements
Mixtures and compounds
Symbols
Formula and simple chemical equation
La of chemical combination{excluding problems)
Properties of air and water
Preparation and properties of hydrogen
Oxygen
Nitrogen and carbon dioxide
‘Oxidation and reduction
Acids
Bases and salts
Carson-diferent forms.
Fortiizere-natural and artifical
Material used in the preparation of substances
Elementary ideas about the structure of atom
‘Atomic equivalent and molecular weight
Valency
À broad survey of Incian history with emphasis on culture and civilization
Freedom movement in India
Elementary study of Indian Constitution and administration
Elementary knowledge of fe year plans of India
Panchayat ra
Co-operative and community development
Bhoodan
Sarvodya
National integration and welfare stato
Basic techniques of Mahatma Gandhi
Forces shaping the modern worle - Renaissance
Exploration and discovery "war of American independence”
France revaluation
Industrial revolution and Russian revolution
Impact of science and technology on society
Concopt of one world
United nation
Panchsheal
Democracy
‘Socialism and communism
Role of Indian the present world
Section-E(Geography)
“Tre earth ts shape and size
Lattudes and longitudes
Concept of time
International date tine
Movement of earth and their effect
Orgin of earth
Rocks and the' classification
‘Weathering-mechanical and chemical
Earthquakes and volcanoes
(Ocean currents and tides atmosphere and its composition
Temperature and atmosphere
Pressure
planetary winds
‘Cyclones and antisyclones
Humiity
Types of climate
Major natural
Regions ofthe world
Regional geography of India - climate
Natural vegetation
Mineral and power resources,
Location and distribution of agricuture and industrial activities
Important sea ports and main sea
Land and air routes of India
Main items of imports and exports of India