## NDA Question Paper 2018 2017 2016 2015 2014 Previous Year

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# What is NDA?

What is the NDA EXAM? This is the most common question raised by teenagers mind. Many of the students who are studying in 9th, 10th, 11th and 12th are still not aware of this. You can download NDA question papers here.

The National Defense Academy Examination is meant to be organized by the Union Public Service Commission (UPSC) for recruitment into the Indian Army, Indian Navy, and Indian Air Force and for Indian naval academy Course.

This is a national level exam conducted twice a year: NDA I and NDA II to help candidates make a career in Defence services. National Defence Academy & Naval Academy Examination has a two-step process where candidates first need to take the exam and then qualify the SSB interview conducted by the Service Selection Board.

## Eligibility criteria for UPSC conducted NDA Exam:

• ### Age Limit for NDA Exam

Only unmarried male candidates born not earlier than July 2, 2000, and not later than July 1, 2003, are eligible.

• ### Educational Qualification for NDA Exam

1. #### For Army Wing of National Defence Academy:

The candidates must have the Class 12 pass of the 10+2 pattern of School Education or equivalent examination conducted by a State Education Board or a University.

1. #### For Air Force and Naval Wings of National Defence Academy

The candidates must have the Class 12 pass of the 10+2 pattern of School Education or equivalent with Physics and Mathematics conducted by a State Education Board or a University.

Note:

• Candidates who are appearing in the 12th Class under the 10+2 pattern of School Education or equivalent examination can also apply for this examination.
• Candidates appearing in the 11th class exam are not eligible for this examination

### Syllabus for NDA Exam

SUBJECTS TOPICS
Mathematics
 Trigonometry: Trigonometrical ratios, properties of triangles, Angles and their measures in degrees and in radians, Inverse trigonometric functions, Trigonometric identities Sum and difference formulae, Applications – Height and distance, Multiple and Sub-multiple angles. 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. Differential Calculus 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, 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. 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. 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. 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 a parabola, Distance of a point from a line, Eccentricity and axis of a conic. Point in a three-dimensional space, a distance between two points, Equation of a plane and a line in various forms, Equation of a sphere, Direction Cosines and direction ratios, an angle between two lines and the angle between two planes. Matrices and Determinants Types of Matrices, Determinant of a matrix, adjoint, and 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 a determinant.
English The English syllabus covers topics like vocabulary, Grammar, and usage, comprehension, and cohesion in extended text to test the candidate’s proficiency in English.
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.
Physics

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, 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.

Chemistry 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, 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.
General Science

Basis of Life – Cells, Protoplasms and Tissues, Constituents of food, Balanced Diet, Achievements of Eminent Scientists, 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.

History

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, 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.

Geography

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, Types of Climate, 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.

Current Events

Current important world events, Knowledge of Important events that have happened in India in recent years, prominent personalities – both Indian and International including those connected with cultural activities and sports. It is not compulsory that the topics mentioned above will surely come in the examination. The question paper does not remain consistent, it changes every year. It may happen that the question paper will consist of the topic not discussed here.

## NDA EXAM PATTERN 2018

#### Mathematics

PAPER I- MATHEMATICS
Total Marks 300 Marks
Total No. of Questions 120
Marks awarded for Correct answer 2.5 marks
Marks deducted for the wrong answer -0.85
Exam Duration 2.5 Hours

#### General Ability

PAPER II- GENERAL ABILITY
Total Marks 600 marks
Total No. of Questions 150
No. of questions in English Section 50
No. Of questions in General knowledge Section 100
Maximum Marks for English 200 marks
Maximum Marks for G.K. 400 marks
Marks for Correct Answer 4 marks in both sections
Marks for Incorrect Answer -1.33 marks in both sections
Exam Duration 2.5 Hours