NDA Exam Pattern And Syllabus You Might Want to Know

NDA Exam Pattern And Syllabus:

The National Defence Academy examination is conducted by the Union Public Service Commission (UPSC). The NDA exam is a national level entrance exam conducted twice a year. The NDA exam pattern and syllabus is necessary for all those candidates interested in appearing for the exam.

NDA Exam Pattern And Syllabus
NDA Exam Pattern And Syllabus

Date of start of registration of application for NDA 1: 8th January 2020

Last date to submit application for NDA 1: 28th January 2020

Date of start of registration of application for NDA 2: 16th June 2020

Date of NDA exam: 6th September 2020

The NDA exam comprises of 2 phases. These include the following:

  • Written exam
  • SSB interview

NDA exam pattern:

  • The NDA exam is a pen and paper based offline examination.
  • The candidate is provided with an OMR sheet to mark the answers to the questions asked.
  • The exam consists of multiple choice objective questions.
  • The medium of the exam is English/ Hindi.
  • The exam consists of 2 papers, these include the following:
  • General Ability Test
  • Mathematics
  • The duration of the exam is 2 ½ hours/ 150 minutes each.
Papers Subject Maximum marks Duration
Paper 1 Mathematics 300 2 ½ hours
Paper 2 GAT 600 2 ½ hours
Total 900 5 hours
  • The total number of questions asked are as follows:
  • GAT: 150 questions
  • Mathematics: 120 questions
Sections Maximum marks
Part A – English 200
Part B – General Knowledge Physics 100
  Chemistry 60
General Science 40
History, Freedom Movement, etc. 80
Geography 80
Current Events 40
Total 600
  • The total weightage of the exam is as follows:
  • GAT: 600 marks
  • Mathematics: 300 marks
  • The marking scheme is as follows:
Sections Marks for correct answer Marks for incorrect answer
GAT 4 1.33
Mathematics 2.5 0.83

NDA exam syllabus:

Mathematics 
S.No Chapter Syllabus
1 Algebra Concept of set, operations on sets, Venn diagrams, De Morgan laws, Cartesian product, relation, equivalence relation.
Representation of real numbers on a line. Complex numbers—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 progressions. Quadratic equations with real coefficients. Solution of linear equation of two variables by graphs. Permutation and Combination. Binomial theorem and its applications. Logarithms and their applications.
2 Matrices and Determinants Types of matrices, operations on matrices. Determinant of a matrix, basic properties of determinants. Adjoin 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.
3 Trigonometry Angles and their measures in degrees and in radians. Trigonometrical ratios. Trigonometric identities Sum and difference formulae. Multiple and Sub-multiple angles. Inverse trigonometric functions. Applications-Height and distance, properties of triangles.
4 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 line. Equation of a circle in standard and in general form. Standard forms of parabola, ellipse and hyperbola. Eccentricity and axis of a conic. Point in a three dimensional space, distance between two points. Direction Cosines and direction ratios. Equation two points. Direction Cosines and direction ratios. Equation of a plane and a line in various forms. Angle between two lines and angle between two planes. Equation of a sphere.
5 Differential Calculus Concept of a real valued function–domain, range and graph of a function. Composite functions, one to one, onto and inverse functions. Notion of limit, Standard limits—examples. Continuity of functions – examples, algebraic operations on continuous functions. Derivative of function at a point, geometrical and physical interpretation of a derivative-application. Derivatives of sum, product and quotient of functions, derivative of a function with respect to another function, derivative of a composite function. Second order derivatives. Increasing and decreasing functions. Application of derivatives in problems of maxima and minima
6 Integral Calculus and Differential Equations Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expressions, trigonometric, exponential and hyperbolic functions. Evaluation of definite integrals—determination of areas of plane regions bounded by curves—applications.
Definition of order and degree of a differential equation, formation of a differential equation by examples. General and particular solution of a differential equations, solution of first order and first degree differential equations of various types—examples. Application in problems of growth and decay.
7 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.
8 Statistics and Probability Statistics: Classification of data, Frequency distribution, cumulative frequency distribution – examples. Graphical representation – Histogram, Pie Chart, frequency polygon—examples. Measures of Central tendency—Mean, median and mode. Variance and standard deviation determination and comparison. Correlation and regression.
Probability: Random experiment, outcomes 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 probability—classical and statistical—examples. Elementary theorems on probability—simple problems. Conditional probability, Bayes’ theorem—simple problems. Random variable as function on a sample space. Binomial distribution, examples of random experiments giving rise to Binominal distribution.
General Ability Test
Parts Chapter Syllabus
Part A English Grammar and usage, vocabulary, comprehension and cohesion to test the candidate’s proficiency in English.
Part B General Knowledge (GK) Physics, Chemistry, General Science, Social Studies, Geography and Current Events.
Part B Section ‘A’ of GK (Physics) Physical Properties and States of Matter, Mass, Weight, Volume, Density and Specific Gravity, Principle of Archimedes, Pressure Barometer.
Motion of objects, Velocity and Acceleration, Newton’s Laws of Motion, Force and Momentum, Parallelogram of Forces, Stability and Equilibrium of bodies, Gravitation, elementary ideas of work, Power and Energy. Effects of 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. Rectilinear propagation of Light, Reflection and refraction. Spherical mirrors and Lenses, Human Eye.
Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet.
Static and Current Electricity, 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.
General Principles in the working of the following:  Simple Pendulum, Simple Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightening Conductors, Safety Fuses
Part B Section ‘B’ (Chemistry) Physical and Chemical changes. Elements, Mixtures and Compounds, Symbols, Formulae and simple Chemical Equations, Law 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. Carbon – different forms. Fertilizers—Natural and Artificial. Material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches and Gun-Powder. Elementary ideas about the structure of Atom, Atomic Equivalent and Molecular Weights, Valency.
Part B Section ‘C’ (General Science) Difference between the living and non-living. Basis of Life—Cells, Protoplasms and Tissues. Growth and Reproduction in Plants and Animals.
Elementary knowledge of Human Body and its important organs. Common Epidemics, their causes and prevention.
Food—Source of Energy for man. Constituents of food, Balanced Diet. The Solar System—Meteors and Comets, Eclipses. Achievements of Eminent Scientists.
Part B Section ‘D’ (History, Freedom Movement and others) A broad survey of Indian History, with emphasis on Culture and Civilization. Freedom Movement in India. Elementary study of Indian Constitution and Administration. Elementary knowledge of Five Year Plans of India. Panchayati Raj, Co-operatives and Community Development. Bhoodan, Sarvodaya, National Integration and Welfare State, Basic Teachings of Mahatma Gandhi.
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. Concept of one World, United Nations, Panchsheel, Democracy, Socialism and Communism. Role of India in the present world.
Part B Section ‘E’ (Geography) The Earth, its shape and size. Latitudes and Longitudes, Concept of time. International Date Line. Movements of Earth and their effects. Origin of Earth. Rocks and their classification; Weathering-Mechanical and Chemical, Earthquakes and Volcanoes. Ocean Currents and Tides Atmosphere and its composition; Temperature and Atmospheric Pressure, Planetary Winds, Cyclones and Anti-cyclones; Humidity; Condensation and Precipitation; Types of Climate, Major Natural regions of the World. Regional Geography of India—Climate, Natural vegetation. Mineral and Power resources; location and distribution of agricultural and Industrial activities. Important Sea ports and main sea, land and air routes of India. Main items of Imports and Exports of India.
Part B Section ‘F’ (Current Events) Knowledge of Important events that have happened in India in the recent years. Current important world events. Prominent personalities—both Indian and International including those connected with cultural activities and sports.
Note: Sections ‘A’, ‘B’, ‘C’, ‘D’, ‘E’ and ‘F’ will carry approximately 25%, 15%, 10%, 20%, 20% and 10% weightages respectively

For further details regarding NDA exam pattern and syllabus check the website at www.upsconline.nic.in .  

Also Read: https://www.theindianexpert.com/upsc-civil-services-exam-2020-syllabus/

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