UPSC (NDA & NA) Exam Syllabus Pattern
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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 |