NDA Syllabus 2014
National Defence & Naval Academy
Examination conducting twice a year & organized by UPSC (Union Public
Service Commission). This examination is conducted to get admission in Army,
Navy & Air force 132nd & 94th Indian Naval
Academy Courses (INAC). Our expert team will provide you candidates latest
paper pattern and syllabus.
Paper Pattern:-
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Paper Name
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Time Duration
|
Max. Marks
|
|
Mathematics
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2:30 hours
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200
|
|
General Ability
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2:30 hours
|
600
|
|
Total
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900
|
|
|
SSB Interview
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900
|
|
Syllabus:-
Paper I
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Subject Name
|
Syllabus
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Algebra
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Concept of set, operations on sets,
Venn diagrams. De Morgan laws. Cartesian product, relation, equivalence
relation. Representation of real numbers on a line. Quadratic equations with real
coefficients. Solution of linear
inequations of two variables by graphs.
Permutation and Combination.
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. Binomial theorem and its application. Logarithms and their applications.
|
|
Trigonometry
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Multiple and Sub-multiple
angles. Inverse trigonometric
functions. Angles and their measures in degrees and in radians. Trigonometrical ratios. Trigonometric identities Sum and difference
formulae. Applications - Height and distance,
properties of triangles.
|
|
Matrices and Determinants
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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. Types of matrices,
operations on matrices Determinant of a matrix, basic properties of determinant.
|
|
Analytical Geometry of two and three
dimensions
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Distance of a point from a
line. Equation of a circle in standard
and in general form. Standard forms of
parabola, ellipse and hyperbola. Rectangular
Cartesian Coordinate system. Distance
formula. Equation of a line in various
forms. Angle between two lines. 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
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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 interpreatation 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.
Concept of a real valued function - domain, range and graph of a
function. Composite functions, one to
one, onto and inverse 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
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Applications-work done by a force
and moment of a force, and in geometrical problems. 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.
|
|
Statistics and Probability
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Statistics: Variance and standard deviation - determination
and comparison. Correlation and
regression. 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.
Probability: Definition of
probability - classical and statistical - examples. Elementary theorems on probability - simple
problems. Conditional probability,
Bayes' theorem - simple problems. 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. Random variable as function on
a sample space. Binomial distribution,
examples of random experiments giving rise to Binominal distribution.
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Paper II
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Subject Name
|
Part
|
Syllabus
|
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General Ability Test
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Part ‘A’
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This paper is generally test the
command in English language as it contains Grammar, vocabulary, comprehension
etc.
|
|
General knowledge
|
Part ‘B’
|
This paper covers the current
burning topics. Questions are from sports, politician, business, market
review, banking , history etc.
|
Candidates
are advice to prepare well for written test. Date sheet will soon release, so
do not waste time at all as time is valuable thing for individual person. There
are negative marking so try to avoid attempting puzzled questions. Please make
book mark sarkarinaukrinotification.com .
in your browser to get latest release dates of examination.
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