UPSC (NDA & NA) Exam Syllabus Pattern

NDA Exam Syllabus Details – Every year Union public service commission government jobs are vacant for the (NDA) & Naval Academy (NA), and a large number of candidates apply for this NDA exam. And only those candidates who have appeared for the examination of the NDA come out successful the examination. The exam is held on the basis of UPSC ((NDA) & Naval Academy (NA)) Syllabus. Here, we have prepared the UPSC NDA Exam’s Syllabus to assist the interested candidates of NDA Exams. The syllabus has been taken from the official notification of UPSC NDA/NA.

UPSC NDA/NA Examination’s Syllabus Information is given below:

The following topics are primary in the NDA/NA Exam, on which the questions can be asked.

  1. PAPER-I: MATHEMATICS (Maximum Marks- 300)
  2. PAPER-II: GENERAL ABILITY TEST (Maximum Marks-600)
ALGEBRA
Concept of set argument
operations on sets cube roots of unity
Venn diagrams Binary system of numbers
De Morgan laws Conversion of a number in decimal system to binary system and vice-versa
Cartesian product Arithmetic
relation Geometric and Harmonic progressions
equivalence relation Quadratic equations with real coefficients
Representation of real numbers on a line   Solution of linear in equations of two variables by graphs
Maple numbers – basic properties Permutation and Combination
modulus Binomial theorem and its applications
Logarithms and their Applications

MATRICES AND DETERMINANTS

  • Types of matrices
  • operations on matrices
  • Determinant of a matrix
  • basic properties of determinants
  • 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

TRIGONOMETRY

  • Angles and their measures in degrees and in radians
  • Trigonometrically ratios
  • Trigonometric identities Sum and difference formula
  • Multiple and Sub-multiple angles
  • Inverse trigonometric functions
  • Applications – Height and distance
  • properties of triangles
ANALYTICAL GEOMETRY OF TWO AND THREE DIMENSIONS
Rectangular  Cartesian Coordinate system  ellipse and hyperbola 
Distance formula  Eccentricity and axis of a conic 
Equation of a line in various forms  Point in a three dimensional space 
Angle between two lines  distance between two points 
Distance of a point from a line  Direction Cosines and direction ratios 
Equation of a circle in standard and in general form  Equation of a plane and a line in various forms 
Standard forms of parabola  Angle between two lines and angle between two planes 
Equation of a sphere
DIFFERENTIAL CALCULUS
Concept of a real valued function – domain  Derivative of function at a point 
range and graph of a function  geometrical and physical interpretation of a derivative – applications 
Composite functions  Derivatives of sum 
one to one  product and quotient of functions 
onto and inverse functions  derivative of a function with respect to another function 
Notion of limit  derivative of a composite function 
Standard limits – examples Second order derivatives 
Continuity of functions – examples  Increasing and decreasing functions 
algebraic operations on continuous functions  Application of derivatives in problems of maxima and minima
INTEGRAL CALCULUS AND DIFFERENTIAL EQUATIONS 
Integration as inverse of differentiation  Definition of order and degree of a differential equation 
integration by substitution and by parts  formation of a differential equation by examples 
standard integrals involving algebraic expressions  General and particular solution of a differential equations 
trigonometric  solution of first order and first degree differential equations of various types – examples 
exponential and hyperbolic functions  Application in problems of growth and decay
Evaluation of definite integrals – determination of areas of plane regions bounded by curves – applications 

VECTOR ALGEBRA:

  • Vectors in two and three dimensions
  • magnitude and direction of a vector
  • Unit and null vectors
  • addition of vectors
  • scalar multiplication of a vector
  • scalar product or dot product of two vectors
  • Vector product or cross product of two vectors
  • Applications-work done by a force and moment of a force and in geometrical problems
STATISTICS AND PROBABILITY
Statistics: Classification of data  events 
Frequency distribution  mutually exclusive and exhaustive events 
And cumulative frequency distribution – examples  impossible and certain events 
Graphical representation – Histogram  Union and Intersection of events 
Pie Chart  Complementary 
frequency polygon – examples  elementary and composite events 
Measures of Central tendency – Mean  Definition of probability – classical and statistical – examples 
median and mode  Elementary theorems on probability – simple problems 
Variance and standard deviation – determination and comparison  Conditional probability 
Correlation and regression  Bayes’ theorem – simple problems 
Probability: Random experiment  Random variable as function on a sample space 
outcomes and associated sample space  Binomial distribution 
examples of random experiments giving rise to Binominal distribution

PAPER-II: GENERAL ABILITY TEST (Maximum Marks-600)

ENGLISH (Maximum Marks 200): Grammar and usage vocabulary comprehension and cohesion in extended text.

GENERAL KNOWLEDGE (Maximum Marks-400)

  • Physics
  • Chemistry
  • General Science
  • Social Studies
  • Geography and Current Events
Physics
Mass  Sound waves and their properties 
Weight  Simple musical instruments 
Volume  Rectilinear propagation of Light 
Density and Specific Gravity  Reflection and refraction 
Principle of Archimedes  Spherical mirrors and Lenses 
Pressure Barometer  Human Eye 
Motion of objects  Natural and Artificial Magnets 
Velocity and Acceleration  Properties of a Magnet 
Newton’s Laws of Motion  Earth as a Magnet 
Force and Momentum  Static and Current Electricity 
Parallelogram of Forces  conductors and Non-conductors 
Stability and Equilibrium of bodies  Ohm’s Law 
Gravitation  Simple Electrical Circuits 
elementary ideas of work  Heating 
Power and Energy  Lighting and Magnetic effects of Current 
Effects of Heat  Measurement of Electrical Power 
Measurement of temperature and heat  Primary and Secondary Cells 
change of State and Latent Heat  Use of X-Rays 
Modes of transference of Heat 
General Principles in the working of the following
Simple Pendulum  Gramophone 
Simple Pulleys  Telegraphs 
Siphon  Telephone 
Levers Balloon  Periscope 
Pumps  Telescope 
Hydrometer  Microscope 
Pressure  Mariner’s Compass; 
Cooker  Lightening Conductors 
Thermos Flask  Safety Fuses
Chemistry
Physical and Chemical changes  Carbon – different forms 
Elements Mixtures and Compounds  Fertilizers – Natural and Artificial Material used in the preparation of substances like soap 
Symbols Formulae and simple Chemical Equations  Glass 
Law of Chemical Combination (excluding problems)  Ink 
Properties of Air and Water  Paper 
Preparation and Properties of Hydrogen  Cement 
Oxygen  Paints 
Nitrogen and Carbon dioxide  Safety Matches 
Oxidation and Reduction  and Gun-Powder 
Acids  Elementary ideas about the Structure of Atom Atomic 
bases and salts  Equivalent and Molecular Weights 
Valency
General Science History Freedom Movement etc 
Difference between the living and non- living  A broad survey of Indian History with emphasis on Culture and Civilizations 
Basis of Life – Cells  Freedom Movement in India 
Protoplasm’s and Tissues  Elementary study of Indian Constitution and Administration 
Growth and Reproduction in Plants and Animals  Elementary knowledge of Five Year Plans of India 
Elementary knowledge of Human Body and its important organs  Panchayati Raj Co-operatives and Community Development 
Common Epidemics their causes and prevention  Bhoodan 
Food – Source of Energy for man  Sarvodaya 
Constituents of food  National Integration and Welfare State 
Balanced Diet  Basic Teachings of Mahatma Gandhi 
The Solar System – Meteors and Comets  Forces shaping the modern world; Renaissance 
Eclipses  Exploration and Discovery; 
Achievements of Eminent Scientists War of American Independence 
Geography French Revolution 
The Earth its shape and size  Industrial Revolution and Russian Revolution 
Latitudes and Longitudes  Impact of Science and Technology on Society 
Concept of time  Concept of one World 
International Date Line  United Nations 
Movements of Earth and their effects  Panchsheel 
Origin of Earth  Democracy 
Rocks and their classification; Weathering – Mechanical and Chemical  Socialism and Communism 
Earthquakes and volcanoes  Role of India in the present world
Ocean Currents and Tides Atmosphere and its composition; Temperature and Atmospheric Pressure 
Planetary Winds  Current Events
cyclones and Anti-cyclones; Humidity; Condensation and Precipitation; Types of Climate  Important events in India in the recent years. 
Major Natural regions of the World  Current important world events
Regional Geography of India – Climate  both Indian and International 
Natural vegetation  cultural activities and sports
Mineral and Power resources; location and distribution of agricultural and industrial activities  Books and writers
Important Sea ports and main sea  Science Current Inventions
land and air routes of India  Lunched 
Main items of Imports and Exports of India Current Affairs

Check Also: [su_posts template=”templates/list-loop.php” posts_per_page=”5″ taxonomy=”post_tag” tax_term=”184″ tax_operator=”AND” order=”desc” orderby=”rand”]

Leave a Reply 0

Your email address will not be published. Required fields are marked *