**NDA Exam Syllabus 2016, NDA Exam Patter 2016, UPSC NDA Syllabus:** The aspirants who are applying for **UPSC NDA NA Exam (I / II)** need to know the detail **NDA Syllabus** to understand the need of NDA exam and start the preparation.

The UPSC NDA Exam II 2016 online application form filling started on 18th June and ends on 15th July. NDA NA II Exam 2016 will be conducted by the Union Public Service Commission on 18thSeptember 2016, for admission to the Army, Navy and Air Force wings of the NDA for the 138th Course, and for the 100th Indian Naval Academy Course (INAC) commencing from 2nd July 2017.

If you are an aspirant and want to crack this exam in one go read **How to Crack NDA Exam in First Attempt!!** .

To prepare and to crack NDA Exam, one must prepare themselves according to the syllabus given by UPSC for NDA II 2016 Exam. Along with NDA Syllabus the applicants need to understand the exam pattern and its content.**NDA Pattern & NDA Syllabus **

To know the Exam pattern is very essential for any candidate to crack this exam in first attempt. The Written Exam consists of two objective type papers. The total exam duration is of 2.5 hours in which candidate has to complete his/her paper. The first paper is of mathematics (300 Marks). The second one is of General Ability Test (600 Marks).

Complete **NDA Syllabus** for both the sections is modified below:

**Algebra: **

Binomial theorem and its application | Binomial theorem and its application | Logarithms and their applications | Logarithms and their applications | Concept of 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 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

**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 Binominal distribution.**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.

**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

**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 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**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**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 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**NDA Syllabus for General Ability Test: **

**English language:** Grammar and usage | Vocabulary | Comprehension& cohesion in extended text to exam the aspirants proficiency in English.

General Knowledge: General Knowledge question paper covers almost every subject matter for eg: General Science, Geography, Current Events, Chemistry, Physics and Social Studies.

**Current Affairs:** National & International events, sports events, cultural activities, politics, important world events.

**General Science:-**Achievements of Eminent Scientists, Elementary knowledge of human Body & its important organs, Basis of Life Cells Proto plasms & Tissues | The Solar System: Meteors & Comets Eclipses, Growth & Reproduction in Plants and Animals, Difference between the living & non-living, Common Epidemics their causes &prevention | Food — Source of Energy for man | Constituents of food Balanced Diet, Common Epidemics their causes and prevention.

Geography:- International Date Line, Origin of Earth, Weathering, Earth shape and size | Latitudes & Longitudes Concept of time | Ocean Currents & Tides | Atmosphere and composition | Movements of Earth and effects | Temperature & Atmospheric Pressure Planetary | Winds cyclones & Anti-cyclones | Types of Climate, Main items of Imports & Exports of India | Mechanical & Chemical Earthquakes and volcanoes | Rocks and classification | Humidity | Regional Geography of India | Major Natural regions of the World | Location & distribution of agricultural and industrial activities | Climate Natural vegetation | Mineral & Power resources | Condensation & Precipitation | Important Sea ports & main sea land | air routes of India.

**Physics:-** Mass | Volume | Physical Properties & States of Flatter | Specific Gravity | Density | Weight | Principle of Archimedes | Velocity & Acceleration | Pressure Barometer| Newton's Laws of Motion | Stability & Equilibrium of bodies | Force & Momentum | Motion of objectselementary ideas of work | Parallelogram of Forces | Measurement of temperature & heat | Reflection &refraction | Use of X-Rays | Gravitation | change of State & Latent Heat | Sound waves and their properties | Spherical mirrors & Lenses | Natural & Artificial Magnets | Simple musical instruments | Modes of transference of Heat | Power & Energy | Effects of Heat| Rectilinear propagation of Light | Properties of a Magnet | Lighting & Magnetic effects of Current | Ohm's Law Simple Electrical Circuits | Primary and Secondary Cells | Static and Current Electricity | conductors and Non-conductors | Measurement of Electrical Power | Earth as a Magnet | Heating | Human Eye

**Chemistry:-** Elements Mixtures & Compounds Symbols Formulae | Properties of Air & Water | Physical & Chemical changes | Acids bases and salts | Chemical Equations Law of Chemical Combination | Preparation and Properties of Hydrogen Oxygen, Nitrogen, Carbondi-oxide, Oxidation & Reduction | Fertilizers — Natural & Artificial, Elementary ideas about the Structure of Atom Atomic & Molecular Weights Valency | Material used in the preparation of substances like soap Glass, Ink Paper ,Cement | Paints, Safety Matches & Gun-Powder, Carbon in different forms.

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