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.
PAPER-I: MATHEMATICS (Maximum Marks- 300) 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
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