SSB Interview Do you have it in you?
The Syllabus for written exam of National Defence Academy & Naval Academy Examination comprises of two papers one is of Mathematics and other is of General Ability Test (GAT) both the papers are of Objective type i.e. you will have 4 option for every question and you have to mark your response from among those four options only. The marks assigned to Maths Paper are 300 Marks while those assigned to GAT is 600 Marks.
This years N.D.A. & N.A. EXAM. (I), 2013 will take place on 14.04.2013 (14th April 2013) (SUNDAY). The exam is conducted by (Union Public Service Commission) UPSC. The exam is conducted for 131 th course of National Defence Academy (NDA) and Naval Academy Course. The written exam is for short listing the candidates for the SSB Interviews which will take place after the result of written exam is declared. As the marks scored by the candidate in written are taken into account for preparing the final merit list, so it is important to not just only pass the exam but to score high marks.
Let us Discuss the Syllabus for the NDA Exam 2013 which will give you an outline as to what you have to study. Our suggestion is that first of all from the syllabus mark all the topics which you fell extremely easy to learn, and make sure you prepare those topics really well. You should not go for the entire syllabus but it is also important to leave few topics which you might feel are difficult to understand.
Mathematics (Code No. 01) – 120 Questions – 300 Marks – 2 Hr 30 Min – (-0.825) Wrong Answer
Question in Mathematics paper will be based on Algebra, Determinants and Matrices, Trigonometry, Analytical Geometry of two and three Dimensions, Differential calculus, Integral Calculus and Differential equations, Vector Algebra, Statistics and Probability.
General Ability Test (Code No. 02) – 150 Questions – 600 Marks – 2 Hr 30 Min – (-1.32) Wrong Answer
The General Ability Test is in two parts on is Part “A” – English and Part “B” – General Knowledge.
Part “A” – English – 200 Marks
Question Paper for English exam will be designed to test the candidate’s understanding of English and workman like use of words. The syllabus covers various aspects like: Grammar and usage, vocabulary, comprehension and cohesion in extended text to test the candidate’s proficiency in English.
Part “B” – General Knowledge – 400 Marks
Section A (Physics), Section B (Chemistry), Section C (General Science), Section D (History, Freedom Movement
etc.), Section E (Geography), Section F (Current Events).
Note – Out of the maximum marks assigned to part B of this paper, questions on Sections A , B , C , D , E and F will carry approximately 25%, 15%, 10%, 20%, 20% and 10% weight ages respectively.
Detailed Syllabus – Mathematics
Algebra
Concept of a 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 in-equations of two variables by graphs. Permutation and Combination. Binomial theorem and its application. Logarithms and their applications.
Matrices and Determinants
Types of matrices, operations on matrices Determinant of a matrix, basic properties of determinant. 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 formulae. 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. 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 of a plane and a line in various forms. Angle between two lines and angle between two planes. Equation of a sphere.
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 a function at a point, geometrical and physical interpretation of a derivative – applications. Derivatives of sum, product and quotient of functions, derivative of a function with respect of another function, derivative of a composite function. Second order derivatives. Increasing and decreasing functions. Application of derivatives in problems of maxima and minima.
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 equation, solution of first order and first degree differential equations of various types – examples. Application in problems of growth and decay.
Vector Algebra
Vectors in two and three dimensions, magnitude and direction of a vector. Unit and null vectors, addition of vectors, scalar multiplication of vector, scalar product or dot product of two-vectors. Vector product and 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, 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.
Detailed Syllabus – General Knowledge
Section “A” (Physics)
Physical Properties and States of Matter, Volume, Weight, Mass, Specific and Density Gravity, Principle of Archimedes, Pressure Barometer.
Motion of objects, Newton’s Laws of Motion, Velocity and Acceleration, Force and Momentum, Parallelogram of Forces, Gravitation, Power and Energy, elementary ideas of work, Stability and Equilibrium of bodies.
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, Pumps, Levers, Balloon, Siphon, Hydrometer, Thermos Flask, Pressure Cooker, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass, Lightening Conductors, Safety Fuses.
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.
Section “C” (General Science)
Difference between the living and non- living.
Basis of Life – Cells, Protoplasm 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.
Section “D” (History, Freedom Movement etc.)
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.
Section “E” (Geography)
Knowledge about Earth’s size and shape. Concept of Time, Lattitudes and Longitudes. 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.
Section “F” (Current Events)
In this section Candidates Knowledge of Important events that have happened in India and around the world in the recent years is tested.
Sound Knowledge of Important Personalities those connected with sports and cultural activities.
