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.
Subject

Period

Marks

Mathematics

2.30
Hours

300

General
Ability Test

2.30
Hours

600

Total
Marks

900


SSB
Test/Interview

900

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 viceversa.
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
Submultiple 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
Nonconductors, Ohm’s Law, Simple Electrical Circuits, Heating, Lighting and
Magnetic effects of Current, Measurement of Electrical Power, Primary and
Secondary Cells, Use of XRays.
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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