Syllabus of NDA Exam 2015

Find the Syllabus of NDA Examination 2015 in this post which gives you the Syllabus for both Paper-I and Paper-II

This blog post is part of a series of articles on NDA examination prep material titled: NDA Exam 2015 Prep material: Sample Papers & Books. If you have not gone through the previous posts, may be you would find it useful to go through them.

This blog post tells you about the syllabus of NDA Examination, so that you can find what to study for the exam. UPSC (who conducts the exam) has not specified the syllabus of any particular board (such as CBSE etc.) syllabus as the syllabus for NDA exam – If you are studying in Class-XII of any 10+2 pattern board school, than your Class-XI & XII syllabus is good enough to do well in the exam.

Before we go on to find the details of the syllabus of NDA Examination, it may do well for you to know that there are two papers in NDA written test and both are objective type (multiple choice) question paper:
Paper-1. Mathematics : 300 Marks. Duration-21/2 hours.
Paper-2. General Ability Test : 600 Marks. Duration-21/2 hours.
Besides above total 900 marks, you need to compete for another 900 marks in SSB interview, after you qualify in the written test.

Syllabus of NDA Examination Paper-1. Mathematics (300 Marks.)
1). 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 inequations 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. Adjoint and inverse of a square matrix, Applications - Solution of a system of linear equations ln two or three unknowns by Cramers rule and by Matrix Method.

3).Trigonometry:
Angles and their measures in degrees and in radians. Trigonometrical ratios. Trigonometic 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 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 ofa derivative - applications. 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 hrs! 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 Binomial distribution.

Syllabus of NDA Examination Paper-2. General Ability Test : 600 Marks:
There are two parts in this paper :
Part ‘A’ - ENGLISH (200 Marks) & Part ‘B’ – General Ability (400 Marks).

Syllabus of ENGLISH paper:
The question paper in English will be de-signed 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.


Syllabus of General Ability paper:
The question paper on General Knowledge will broadly cover the subjects : Physics, Chemistry, General Science, Social Studies, Geography and Current Events.
The syllabus given below is designed to indicate the scope of these subjects included in this paper. The topics mentioned are not to be regarded as exhaustive and questions on topics of similar nature not specifically mentioned in the syllabus may also be asked. Candidates answers are expected to show their knowledge and intelligent understanding of the subject.

Syllabus of GK paper Section ‘A’ (Physics): Aprox. 100 marks.
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. Mariners Compass; Lightening Conductors, Safety Fuses.

Syllabus of GK paper Section ‘B’ (Chemistry): Aprox. 60 marks.
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.

Syllabus of GK paper Section ‘C’ (General Science): Aprox. 40 marks.
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.

Syllabus of GK paper Section ‘D’ (History, Freedom Movement etc.) Aprox. 80 marks.
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 Rai. Co-operatives and Community Development.
Bhoodan, Sarvodaya, National Integration and Welfare State, Basic Teachings of Mahatma Gandhi.
Forces shaping the modem 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,

Syllabus of GK paper Section ‘E’ (Geography) Aprox. 80 marks.
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.

Syllabus of GK paper Section ‘F’ (Current Events): Aprox. 40 marks.
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.

SSB Interview (Intelligence and personality test):
After qualifying in above written test, you have to appear in the SSB Interview for 900 marks with details as given below:
In SSB interview, the candidates will be put to Intelligence Tests both verbal and non-verbal, designed to assess their basic intelligence. They will also be put to Group Tests such as group discussions, group planning, outdoor group tasks, and asked to give brief lectures on specified subjects. All these tests are intended to judge the mental caliber of a candidate. In broad terms, this is really an assessment of not only his intellectual qualities but also his social traits and interests in current affairs.

For any modifications in above syllabus, you need to consult the application information brochure while applying for the NDA exam.

My next post deals with Exam pattern/question pattern of NDA examination. So keep visiting this blog for more information on NDA exam

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Career Quips: Syllabus of NDA Exam 2015
Syllabus of NDA Exam 2015
Find the Syllabus of NDA Examination 2015 in this post which gives you the Syllabus for both Paper-I and Paper-II
Career Quips
http://careerquips.blogspot.com/2008/08/syllabus-of-nda-examination.html
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