(i) For Army Wing of National Defence Academy: 12 th Class pass of the 10+2 pattern of School Education or equivalent examination conducted by a State Education Board or a University
(ii) For Air Force and Naval Wings of National Defence Academy and for the 10+2 Cadet Entry Scheme at the Indian Naval Academy: 12 th Class pass of the 10+2 pattern of School Education or equivalent with Physics and Mathematics conducted by a State Education Board or a University
Candidates who are appearing in the 12 th Class under the 10+2 pattern of School Education or equivalent examination can also apply for this examination.
a) Mathematics (01)  –  2 ½ Hours (300 Marks) 
b) General Ability Test (02)  –  2 ½ Hours (600 Marks) 
Total  =  900 Marks 
Following are the approx marks allotted to various subsections of the General Ability Test in the NDA question paper:
Sections of General Ability Test  Weightage 
English 
200 Marks 
Physics 
100 Marks 
Chemistry 
60 Marks 
General Science 
40 Marks 
History 
80 Marks 
Geography 
80 Marks 
Current Affairs 
40 Marks 
ALGEBRA  Set concept, sets operations, Venn diagrams. Laws of De Morgan, Cartesian product, relationship, the relationship of equivalence. Real number representation on a line. Complex numbers— basic properties, module, argument, unity cube roots. Binary number system. Conversion to binary system of a number in decimal system and vice versa. Progressions in arithmetic, geometry and harmony. Realcoefficient quadratic equations The solution of linear in equations of two variables by graphs. Permutation and Combination. Binomial theorem and its applications. Logarithms and their applications. 
MATRICES & DETERMINANTS  Matrix types, matrix operations. The determinant of a matrix, determinants ' properties. ApplicationSolution of a system of linear equations in two or three unknowns by the Cranmer's Rule and by the Matrix method 
TRIGONOMETRY  Angles and their degree and measurements. Trigonometric ratios. Sum of trigonometric identities and formulas. Multiple angles and submultiples. Trigonometric functions & its inverse. ApplicationsHeight and Distance, Triangle Properties. 
DIFFERENTIAL CALCULUS  Concept of a valued function–a function's domain, range, and graph. Composite functions, one by one, on and vice versa. Limit notion, default limits — examples. Continuity of functions— examples, continuous functional algebraic operations. Function derivative at a point, geometric and physical interpretation of an application derivative. Summary derivatives, product and function quotient derivatives, function derivatives for another function, 20 composite function derivatives. Derivatives of the second order. Increasing and diminishing functions. Application of derivatives in maxima and minima problems. 
INTEGRAL CALCULUS & DIFFERENTIAL EQUATIONS  Differentiation and integration, standard integrals with algebraic expressions, trigonometric, exponential and hyperbolic functions.Definite integrals — determination of areas of curved plane regions — applications.General and particular solution of differential equations, solution of the first order and firstdegree differential equations of various types—examples. Application in problems of growth and decay. 
VECTOR ALGEBRA  Twoand threedimensional vectors, vector magnitude and direction. Unit and null vectors, vector adding, scalarvector multiplication, scalar product or dot product. vector product or cross product. Applications — work done through force and moment of force and in geometric problems. 
STATISTICS & PROBABILITY  Statistics: data classification, distribution of frequencies, the cumulative distribution of frequencies — examples. Examples of graphic representation— histogram, pie chart, polygon frequency. Central tendency measurements — mean, median, and mode. Variance and deviation of standard — determination and comparison. Correlation and regression Sample space, events, exhaustive events & mutually exclusive, impossible and certain events associated with random experiments, results and associated. Union and events intersection. Complementary, composite and elementary events. Probability definition— classical and statistical— examples. Elementary probability theorems — simple issues. The conditional likelihood, the theorem of Bayes — simple problems. Random variable on a sample space as a function. Binomial distribution, examples of random experiments, the binomial distribution. 
ENGLISH 

PHYSICS  Matter and its properties(mass, weight etc)and specific gravity, Archimedes principle, Motion, Velocity and Acceleration, Newton's Laws of Motion, Force and Momentum, Force Parallelogram, Stability and Body Equilibrium, Gravity, Elementary Work Ideas, Power and Energy. Heat effects, temperature and heat measurement, state change and latent heat, heat transfer modes. Rectilinear light, reflection and refraction propagation. Spherical mirrors and human eye lenses. Natural and artificial magnets, a magnet's properties, earth as a magnet. Electricity, Ohm's Law, conductors and nonconductors, Simple Electrical Circuits, Current Heating, Lighting and Magnetic Effects, Electrical Power Measurement, Primary and Secondary Cells, XRay Use.Simple Pendulum, Simple Pulleys, Telegraph, Telephone, Periscope, Telescope, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone,, Microscope, Mariner's Compass. 
CHEMISTRY  Changes in physical and chemical conditions. Chemical Combination Law. Air and water properties.Hydrogen, oxygen, nitrogen and carbon dioxide preparation and properties, oxidation and reduction. Acids, bases, salts, etc. Carbon— various forms. Fertilizers— Artificial and Natural. The material used in the preparation of substances such as Soap, Glass, Ink, Paper, Cement, Paints, GunPowder and Safety Matches. Basic ideas on Atom, Atomic Equivalent and Molecular Weights structure, Valence. 
GENERAL SCIENCE  Living and nonliving difference. Life basis — cells, protoplasms, tissues. Plant and animal growth and reproduction. Human Body's basic knowledge and its important organs. Common epidemics, causes and prevention of them. Food — man's energy source. Food constituents, balanced diet. The Meteors and Comets Solar System, Eclipses. Eminent Scientists ' achievements. 
HISTORY  A comprehensive survey of Indian History, focusing on culture and civilization. Freedom movement. Indian Constitution and Administration elementary study. The basic knowledge of India's Five Year Plans. Panchayati Raj, Community Development Cooperatives. Bhoodan, Sarvodaya, Mahatma Gandhi's Basic Teachings, National Integration and Welfare State. Modern world forces; Renaissance, Exploration and Discovery; American Independence War. French Revolution, Russian Revolution and the Industrial Revolution. Impact on society of science and technology. One World Concept, UN, Panchsheel, Democracy, Socialism, and Communism. India's role in today's world. 
GEOGRAPHY  The shape and size of the Earth. Lattitudes, Longitudes, Time Concept. DateLine International. Earth's movements and effects. Earth's origin. Rocks and their classification; mechanical and chemical weathering, earthquakes and volcanoes. Ocean Currents and Tides Atmosphere and their composition; Temperature and Atmospheric Pressure, Planetary Winds, Cyclones and Anticyclones; Humidity; Condensation 23 and Precipitation; Climate Types, World's Major Natural Regions. India's regional geography— climate, natural vegetation. Resources for minerals and power; location and distribution of agricultural and industrial activities. Important seaports and major seaports, land and air routes 
CURRENT EVENTS  Knowledge of major events that have occurre in India over the& past few years. Current major events in the world. Important personalities around the world including thoserelated to cultural and sports activities. 
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