The syllabus of NDA for 2016 has been released by Union Public Service Commission (UPSC). NDA exam is conducted for those candidates who want to join the Army, Navy and Air Force Wing of NDA. The examination is conducted twice every year. To be able to crack this exam the candidate must prepare properly according to the latest syllabus and prescribed format of question paper as mentioned below:

SUBJECT | DURATION | MAXIMUM MARKS |

Mathematics | 2 hours, 30 minutes | 300 |

General Ability | 2 hours 30 minutes | 600 |

Total | 900 | |

SSB Interview | 900 |

The question paper will be objective type. Mathematics and General Ability question paper will be set in both Hindi / English.

The Syllabus for NDA 2016 is as follows:

PAPER I (Mathematics)

**Algebra**

- Concept of the set
- Operations onsets
- 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 vice versa
- Arithmetic
- Geometric and Harmonic Progressions
- Quadratic equations with Real coefficients
- Solution of Linear equations of two variables by graphs
- Permutation and Combination
- Binomial theorem and its application
- Logarithms and their application

**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

**TRIGNOMETRY**

- Angles and their measures in degrees and in radians
- Trignometrical ratios
- Trignometrical 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 a 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 a 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
- Applications 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 Binomial distribution

PAPER II (General Ability Test)

Part A- English

- Grammar and usage
- Vocabulary
- Comprehension and cohesion in extended text to test the candidate’s proficiency in English

**PART B- GENERAL KNOWLEDGE**

- Physics
- Chemistry
- General Science
- Social Studies
- Geography
- Current Affairs

**Section A : Physics**

- Physical Properties
- Mass
- Weight
- Volume
- Density
- Specific Gravity
- Principles of Archimedes
- Pressure of 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 Non-conductors
- Ohm’s Law Simple Electrical Circuits
- Heating
- Lighting and Magnetic effects of Current
- Measurement of Electrical Power
- Primary and Secondary Cells
- Use of X-rays

**Section B: Chemistry**

- Physical and Chemical changes
- Elements Mixtures and Compounds Symbols Formulae
- Simple Chemical Equations Law of Chemical Combination (excluding problems)
- Properties of Air and Water
- Preparation of Properties of Hydrogen Oxygen Nitrogen and Carbon dioxide Oxidation and Reduction
- Acids bases and salts
- Carbon-different forms
- Fertilizers-Natural and Artificial
- Material used in the preparation of substances like soap Glass Ink Paper, Cement, Paints, Safety Matches and Gun Powder
- Elementary ideas about the structure of Atom, Atomic Equivalent and Molecular Weights Valency

**Section C: General Science**

- Difference between the living and non-living
- Basis of Life-Cells Protoplasm’s and Tissues
- Growth and Reproduction in Plants and Animals
- Elementary Knowledge of human body and its important organs
- Common Epidemics their causes and prevention
- Food-Source of Energy for man, Constituents of Balanced diet
- The Solar System- Meteors and Comets Eclipses
- Achievements of Eminent Scientists

**Section D: History of Freedom Movement etc.**

- Broad survey of Indian History with emphasis on Culture and Civilisation
- Freedom Movement in India
- Elementary study of Indian Constitution and Administration
- Elementary knowledge of Five Year Plans of India
- Panchayati Raj Co-operatives and Community Development
- BhoodanSarvodaya National integration and Welfare State Basic Teachings of Mahatma Gandhi
- Forces shaping the modern world
- Renaissance Exploration and Discovery
- War of American Independence
- French Revolution, Industrial Revolution and Russian Revolution
- Impact of science and technology on society
- Concept of one World United Nations Panchsheel Democracy
- Socialism and Communism
- Role of India in the present world

**Section E: Geography**

- Earth its shape and size
- Latitudes and Longitudes: Concept of Time
- International Date Line
- Movement of Earth and their Effects
- Origin of Earth
- Rocks and their Classification
- Weathering
- Mechanical and Chemical earthquakes and volcanoes
- Ocean Currents and Tides
- Atmosphere and its Composition
- Temperature and Atmospheric Pressure: Planetary winds, Cyclones and anti- Cyclones
- Humidity
- Condensation and Precipitation
- Types of Climate
- Major natural regions of the Earth
- Regional geography of India
- Climate Natural Vegetation
- Mineral and Power Resources
- Location and Distribution of Industrial and Agricultural activities
- Important Sea Ports and Main Sea land and Air routes of India
- Main items of imports and exports of India

**Section F: Current Events**

- Knowledge of Important events that have happened in India in recent years.
- Current important World events
- Prominent Personalities-both Indian and International including those connected with cultural activities and sports

For any further details please refer to the official website.