NDA Syllabus 2016 Exam Pattern and Structure, Paper Format Complete Details
NDA Syllabus 2016
Union Public Service Commission (UPSC) conducts NDA (National
Defence Academy) examination every year to recruit eligible and dedicated
aspirants for the Indian Navy, Air Foce & Army jobs. Lot of students appear
for this exam but only few get success of cracking the NDA exam.
Read Also: प्रतियोगिता परीक्षा के लिए तैयारी कहाँ से और कैसे Start करे  जानिये Tips & TriksRead Also: जल्दी अंग्रेजी बोलना कैसे सीखे  जानिये तरीके
Dear applicants if you are searching of NDA complete syllabus
and exam pattern then are you at right place, here we are providing NDA
Entrance Exam syllabus with Exam pattern and structure you can download and
prepare for upcoming test.
Details about NDA Syllabus 2016
NDA exam consist of two section that is Paper I (Mathematics)
& Paper II (General Ability)
Paper I: NDA
Mathematics Syllabus
Concept of set, operations on sets, Venn diagrams. De Morgan laws.
Cartesian product, relation and equivalence relation. Representation of real
numbers on a line. Complex numbers  basic properties, modulus, argument, and
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 equations of two variables by
graphs. Permutation and Combination. Binomial theorem and its
application. Logarithms and their applications.
2. 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.
3. 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.
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 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.
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 equation, solution of first 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 vector,
scalar product or dot product of twovectors. Vector product and cross
product of two vectors. Applicationswork 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.
PaperII: General Ability Test Syllabus
1. English : 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.
2. General Knowledge: Questions will come from current
events, affairs, general science
3. Geography: Origin of Earth, Atmosphere and composition,
Mechanical & Chemical Earthquakes and volcanoes, International Date Line,
Weathering, Condensation & Precipitation, Humidity etc
4. General Science: Elementary knowledge of human Body & its important organs,
Growth & Reproduction in Plants and Animals, Constituents of food
Balanced Diet, Common Epidemics their causes and prevention etc.
5. Physics: Specific Gravity, Density,
Weight, Principle of Archimedes, Velocity & Acceleration,
Use of XRays, Newton’s Laws of Motion, Modes of transference of Heat, Power
& Energy, Effects of Heat, Rectilinear propagation of
Light, Properties of a Magnet, conductors and Nonconductors
6. Chemistry: Physical & Chemical changes, Oxidation
& Reduction, Elements Mixtures & Compounds Symbols Formulae, Properties
of Air & Water, Safety Matches & GunPowder etc
NDA Exam Pattern
Paper

Paper

Marks

Time Duration

PaperI

Mathematics

300

2:30 Hours

PaperII

General Ability
Test

600

2:300

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