## NDA Exam 2010 | NDA Exam Preparation | NDA Exam Syllabus

**NDA Exam Notification | NDA Eligibility NDA Exam Preparation | NDA Exam Study Material**

Notification for **NDA (National Defence Academy) & NA (Naval Academy) exam (I) -2010** has recently been announced.

**NDA Exam passout is eligible to get admission to two defence institutes:**

1.0 NDA: In the Army/Air Force/ Navy wings.

2.0 NA: In the executive branch of Navy.

**Selected candidates of NDA Exam would start the course from 30th December, 2010.**

NDA is held twice a year. (Union Public Service Commission) holds this NDA Exam. This NDA Exam is also called NDA Exam I which will take place in mid-April and NDA Exam II will be held in mid-August.

**NDA Exam – The important dates/schedule of NDA exam â€“I 2010.**

Important dates/schedule of NDA-I exam-2010:

Date of notification of NDA-I exam-2010: 17th October (Saturday), 2009.

Last date of receiving completed application: 16th November (Monday), 2009.

(For candidates from remote areas and abroad: 23rd November (Monday), 2009.

Date of NDA-I exam-2010 (written): 18th April (Sunday), 2010.

**NDA Exam Eligibility:**

Age eligibility for NDA exam:

Your DOB should not be earlier than 2nd Jan, 1992 and later than 1st July,1994.

Only MALE, UNMARRIED candidates can appear for NDA exam.

You need to pass Class-XII or equivalent examination.

Also, for applying to the Air Force/Navy wings of NDA and for applying to Naval Academy, you must have studied Physics & Maths in your Class-XII. For applying to the Army wings of NDA, however, Physics & Maths in Class-XII is not a must.

If you are currently studying in Class-XII, you can also appear in the exam, provided you can provide the proof passing the exam at a later date, as specified by UPSC.

On top of above age and academic eligibility, you also need to have the minimum physical standard as required by UPSC.

**NDA Exam – Syllabus for NDA Examination**

NDA Examination is a national level entrance examination to select around 350 bright young boys for the National Defence Academy (NDA) at Khadakwasla, Pune.

NDA Exam Syllabus : Â UPSC (who conducts the exam) has not specified the syllabus of any particular board (such as CBSE etc.) syllabus as the syllabus for NDA exam â€“ If you are studying in Class-XII of any 10+2 pattern board school, than your Class-XI & XII syllabus is good enough to do well in the exam.

NDA Exam – there two papers in NDA written test and both are objective type (multiple choice) question paper:

Paper-1. Mathematics : 300 Marks. Duration-21/2 hours.

Paper-2. General Ability Test : 600 Marks. Duration-21/2 hours.

Besides above total 900 marks, you need to compete for another 900 marks in SSB interview, after you qualify in the written test.

**Syllabus of NDA Examination Paper-1. Mathematics (300 Marks.)**

1). Algebra :

Concept of a 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, 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 inequations of two variables by graphs. Permutation and Combination. Binomial theorem and its application. Logarithms and their applications.

2). Matrices and Determinants:

Types of matrices, operations on matrices Determinant of a matrix, basic properties of determinant. 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.

3).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.

4).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 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.

5).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 a function at a point, geometrical and physical interpreatation 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.

6).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.

7).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.

8).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.

**NDA Exam – Syllabus of NDA Examination Paper-2. General Ability Test : 600 Marks:**

There are two parts in this paper :

Part â€˜Aâ€™ – ENGLISH (200 Marks) & Part â€˜Bâ€™ â€“ General Ability (400 Marks).

**NDA Exam – Syllabus of ENGLISH paper:**

The question paper in English will be designed to test the candidateâ€™s understanding of English and workman like use of words. The syllabus covers various aspects like: Grammar and usage, vocabulary, comprehension and cohesion in extended text to test the candidateâ€™s proficiency in English.

**NDA Exam – Syllabus of General Ability paper:**

The question paper on General Ability broadly covers the subjects : Physics, Chemistry, General Science, Social Studies, Geography and Current Events.

The syllabus given below is designed to indicate the scope of these subjects included in this paper. The topics mentioned are not to be regarded as exhaustive and questions on topics of similar nature not specifically mentioned in the syllabus may also be asked. Candidateâ€™s answers are expected to show their knowledge and intelligent understanding of the subject.

**Syllabus of GK paper Section â€˜Aâ€™ (Physics): Aprox. 100 marks.**

Physical Properties and States of Matter, Mass, Weight, Volume, Density and Specific Gravity, Principle of Archimedes, Pressure Barometer.

Motion of objects, Velocity and Acceleration, Newtonâ€™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, Ohmâ€™s Law, Simple Electrical Circuits, Heating, Lighting and Magnetic effects of Current, Measurement of Electrical Power, Primary and Secondary Cells, Use of X-Rays.

General Principles in the working of the following :

Simple Pendulum, Simple Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Marinerâ€™s Compass; Lightening Conductors, Safety Fuses.

**NDA Exam – Syllabus of GK paper Section â€˜Bâ€™ (Chemistry): Aprox. 60 marks.**

Physical and Chemical changes. Elements, Mixtures and Compounds, Symbols, Formulae and simple Chemical Equations, Law of Chemical Combination (excluding problems). Properties of Air and Water.

Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbondioxide, 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.

**NDA Exam – Syllabus of GK paper Section â€˜Câ€™ (General Science): Aprox. 40 marks**.

Difference between the living and non- living.

Basis of Life – Cells, Protoplasms 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 food, Balanced Diet.

The Solar System – Meteors and Comets, Eclipses.

Achievements of Eminent Scientists.

**NDA EXam – Syllabus of GK paper Section â€˜Dâ€™ (History, Freedom Movement etc.) Aprox. 80 marks.**

A 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.

Bhoodan, Sarvodaya, 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.

**NDA Exam – Syllabus of GK paper Section â€˜Eâ€™ (Geography) Aprox. 80 marks.**

The Earth, its shape and size. Lattitudes and Longitudes, Concept of time. International Date Line. Movements 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 World.

Regional Geography of India – Climate, Natural vegetation. Mineral and Power resources; location and distribution of agricultural and industrial activities.

Important Sea ports and main sea, land and air routes of India. Main items of Imports and Exports of India.

Syllabus of GK paper Section â€˜Fâ€™ (Current Events): Aprox. 40 marks.

Knowledge of Important events that have happened in India in the recent years.

Current important world events.

Prominent personalities – both Indian and International including those connected with cultural activities and sports.

**NDA Exam – SSB Interview (Intelligence and personality test):**

After qualifying in above written test, you have to appear in the SSB Interview for 900 marks with details as given below:

In SSB interview, the candidates will be put to Intelligence Tests both verbal and non-verbal, designed to assess their basic intelligence. They will also be put to Group Tests such as group discussions, group planning, outdoor group tasks, and asked to give brief lectures on specified subjects. All these tests are intended to judge the mental caliber of a candidate. In broad terms, this is really an assessment of not only his intellectual qualities but also his social traits and interests in current affairs.

**NDA Exam – NDA Entrance Exam 2010**

**NDA Website : ****nda.nic.in**

**UPSC Website ****upsc.gov.in**

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