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UPSC NDA 2 Syllabus 2015 | NDA II Exam Pattern

UPSC NDA 2 Syllabus 2015| NDA II Exam Pattern of  Exam 2015 | NA II By UPSC Study Material 2015 | Union Public Service Commission NDA 2 Exam Pattern 2015 | UPSC National Defence Academy II & NA 2 Study Material 2015 | Visit Official Web Portal For More Information For NDA & NA 2 Syllabus 2015.

NDA II Exam Pattern :-

The papers in both the subjects will consist of objective type questions only.

2.30 Hours
General Ability Test
2.30 Hours
Total Marks
SSB Test/Interview

NDA II Mathematics Syllabus :-

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 quotations 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 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, Trigonometrical 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.

Differential Calculus:- Concept of a real valued function – domain, range and graph of a function, Composite functions, Derivative of function at a point, 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, General and particular solution of a differential equation.

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, 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, 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.

Paper – II

General Ability Test for National Defence Academy & Naval Academy Exam II 2015

Paper – II General Ability Test ( Code No. 02 ) ( Maximum Marks – 600 )

Part ‘A’ – English ( Maximum Marks 200 )

The question paper in English 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 ( Maximum Marks – 400 )

The question paper on General Knowledge will broadly cover the subjects : Physics, Chemistry, General Science, Social Studies, Geography and Current Events.

The National Defence Academy II 2015 syllabus given below is designed to indicate the scope of these subjects included in NDA II General Knowledge paper. The topics mentioned are not to be regarded as exhaustive and questions on topics of similar nature not specifically mentioned in the NDA II 2015 syllabus may also be asked. Candidate’s answers are expected to show their knowledge and intelligent understanding of the subject.

Section ‘A’ ( 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.

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