Thursday, 7 January 2016

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.
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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 vice-versa. 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 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 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 two-vectors.  Vector product and 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.  

Paper-II: 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 X-Rays, 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 Non-conductors

6. Chemistry: Physical & Chemical changes, Oxidation & Reduction, Elements Mixtures & Compounds Symbols Formulae, Properties of Air & Water, Safety Matches & Gun-Powder etc

NDA Exam Pattern

Time Duration
2:30 Hours
General Ability Test

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