NDA Syllabus 2018: National Defense Academy (NDA) Examination is organized by UPSC (Union Public Service Commission) to trains the trainee to get selected for Indian Armed Forces as officers. Candidates may approach the academy by cracking National Level Entrance Exam. This exam is held twice a year. Candidates who are searching for the detailed NDA Syllabus 2018, your search is over here. In this Article, you will get Updated NDA Syllabus 2018.

National Defence Academy (NDA) is the Joint Services Academy of the Indian Armed Forces. It is a military training institute where the cadets of the Army, Navy and Air Force train together before their pre-commissioning training. It is located near Pune at Khadakwasla, Maharashtra.The National Defence Academy was commissioned in 1954 while it was inaugurated on 16th January 1955.

The Exam of NDA 2018 will be held in two stages-

- Written Examination.
- Staff Selection Board (SSB) interviews.

The exam comprises of Mathematics and General Ability. The Examination will be held offline. The Questions will be Objective in nature. There will be negative marking for each incorrect answer.

**NDA Syllabus 2018 Details**

**NDA Syllabus 2018 for Mathematics**

**Algebra: Complex numbers** – basic properties, modulus, Conversion of a number in decimal system to binary system and vice-versa, Arithmetic, argument, cube roots of unity, Geometric and Harmonic progressions, Solution of linear inequations of two variables by graphs, Representation of real numbers on a line, Binary system of numbers, Binomial theorem and its application, Quadratic equations with real coefficients, Permutation and Combination, Logarithms and their applications.

**Trigonometry** – Trigonometric identities Sum and difference formulae, Applications – Height and distance, Multiple and Sub-multiple angles, Trigonometrical ratios, properties of triangles, Angles and their measures in degrees and in radians, Inverse trigonometric functions.

**Differential Calculus** – Concept of a real-valued function – domain, range and graph of a function, Notion of limit, Standard limits – examples, geometrical and physical interpretation of a derivative – applications, Derivative of a function at a point, Derivatives of sum, product and quotient of functions, derivative of a function with respect of another function, derivative of a composite function and Second order derivatives. Composite functions, one to one, onto and inverse functions, geometrical and physical interpretation of a derivative – applications, increasing and decreasing functions, Continuity of functions – examples, algebraic operations on continuous functions, Application of derivatives in problems of maxima and minima.

**Vector Algebra** – Vectors in two and three dimensions, scalar multiplication of vector, scalar product or dot product of two-vectors, Applications-work done by a force and moment of a force, and in geometrical problems, magnitude and direction of a vector, Unit and null vectors, addition of vectors, Vector product and cross product of two vectors.

**Integral Calculus and Differential equations** – Integration by substitution and by parts, trigonometric, Definition of order and degree of a differential equation, formation of a differential equation by examples, exponential and hyperbolic functions, solution of first order and first degree differential equations of various types – examples, standard integrals involving algebraic expressions, Evaluation of definite integrals – determination of areas of plane regions bounded by curves – applications, General and particular solution of a differential equation, Integration as inverse of differentiation, Application in problems of growth and decay.

**Matrices and Determinants** – Types of Matrices, Determinant of a matrix, adjoin and the inverse of a square matrix, operations on matrices, Applications – Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method, basic properties of the determinant.

**Analytical Geometry of two and three dimensions** – Distance formula, Equation of a circle in standard and in general form, Ellipse and hyperbola, Angle between two lines, Rectangular Cartesian Coordinate system, Equation of a line in various forms, Standard forms of parabola, Distance of a point from a line, Eccentricity and axis of a conic.

Point in a three-dimensional space, the distance between two points, Equation of a plane and a line in various forms, Equation of a sphere, Direction Cosines and direction ratios, the angle between two lines and the angle between two planes.

**Statistics – **Frequency distribution, Classification of data, cumulative frequency distribution – examples Graphical representation – Histogram, Measures of Central tendency – mean, median and mode, Pie Chart, Frequency Polygon – examples, Variance and standard deviation – determination and comparison, Correlation and regression.

**Probability –** outcomes and associated sample space, Binomial distribution, Random experiment, examples of random experiments giving rise to Binominal distribution, events, mutually exclusive and exhaustive events, Bayes’ theorem – simple problems, impossible and certain events, Complementary, elementary and composite events, Union and Intersection of events, Definition of probability – classical and statistical – examples, Conditional probability, Random variable as function on a sample space, Elementary theorems on probability – simple problems, Binomial distribution, examples of random experiments giving rise to Binominal distribution.

**NDA Syllabus 2018 for General Ability**

**PART A**

**English –**

- Vocabulary,
- Grammar and usage,
- Comprehension and cohesion

**PART B**

**Section A – Physics**

Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightening Conductors, Safety Fuses, Simple Pendulum, Simple Pulleys, Physical Properties and States of Matter, Mass, Weight, Volume, Density and Specific Gravity, Principle of Archimedes, Pressure Barometer, Effects of Heat, change of State and Latent Heat, Modes of transference of Heat, Rectilinear propagation of Light, Reflection and refraction. Spherical mirrors and Lenses. Human Eye, Static and Current Electricity, Measurement of temperature and heat, 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, Motion of objects, Newton’s Laws of Motion, Force and Momentum, Parallelogram of Forces, Stability and Equilibrium of bodies, Gravitation, elementary ideas of work, Velocity and Acceleration, Power and Energy, Sound waves and their properties, Simple musical instruments, Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet.

**Section B – Chemistry**

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

**Section C – General Science**

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

**Section D – Geography**

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

**Section E – History**

Elementary knowledge of Five Year Plans of India, Elementary study of Indian Constitution and Administration, Panchayati Raj, 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, Co-operatives and Community Development, Role of India in the present world, Freedom Movement in India, Bhoodan, Sarvodaya, National Integration and Welfare State, Basic Teachings of Mahatma Gandhi, A broad survey of Indian History, with emphasis on Culture and Civilisation.

**Section F – Current Events**

Current important world events, Knowledge of Important events that have happened in India in the recent years, prominent personalities – both Indian and International including those connected with cultural activities and sports.

**NDA Syllabus 2018:General Knowledge-**The question paper comprises of general knowledge and covers the subjects that include Physics, Chemistry, Social Studies, General Science, Geography and Current Events.

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