• Nationality: Candidate must be

1. A Citizen of India, or
2. A Subject of Bhutan, or
3. A Subject of Nepal, or
4. A Tibetan refugee who came over to India before the 1st January, 1962 with the intention of permanently settling in India.

Provided that a candidate belonging to above categories (except Indian citizens) shall be a person in whose favour a certificate of eligibility has been issued by the Government of India.

• Age Limit,Sex and Marital status for NDA Exam:

Only unmarried male candidates born not earlier than 02nd July, 1998 and not later than 01st January,2001are eligible.

• Educational Qualification:

 

1. Army wing of National Defence Academy:12th Class pass of the 10+2 pattern of School Education or equivalent examination conducted by a State Education Board or a University.
2.  Air Force and Naval Wings of National Defence Academy :12th 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.

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.

• Physical Conditions:

Candidates must be physically fit according to the prescribed physical standards.

 

Selection Procedure Consist of two stages: 

UPSC NDA (I) Exam paper consists of two sections – Mathematics and General Ability Test. Both test papers consist of Multiple Choice Questions.

 

 

Paper 1: Mathematics

Marking scheme of Mathematics:

§  For every correct answer, 2.5 marks are rewarded.

§  For every incorrect answer, 0.83 marks are deducted.

 

Paper 2: English & General Ability

Paper 2 will be divided into 2 sections:

Marking scheme for Paper 2:

§  For every correct answer, 4 marks are rewarded.

§  For every incorrect answer, 1.33 marks are deducted.

  

Those candidates who qualify Stage II will be required to submit the Original Certificates along with one photocopy each of :

(i) Original Matriculation pass certificate or equivalent in support of date of birth;

(ii) Original 10+2 pass certificate or equivalent in support of educational qualification.

 

Intelligence and Personality Test

In addition to the 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.

 

To practice online for NDA NA II, you can follow itest

 

1. All the papers  will consist of objective type questions only.
2. The question papers (Test Booklets) OF MATHEMATICS AND GENERAL ABILITY TESTS WILL BE SET  IN Hindi AS WELL AS  English.
3.  Candidates must write the papers in their own hand.
4.  Use of  calculator or Mathematical or logirithmic table in the exam is not allowed.

 

 

UPSC NDA Mathematics Syllabus

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 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.

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 circle 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 function at a point, geometrical and physical interpretation 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.

UPSC NDA General Ability Test Syllabus

Part A – English

The question paper in English will be designed to test the candidate’s understanding of English. The syllabus covers various aspects like: Grammar and usage, vocabulary, comprehension and cohesion in extended text to test the candidate’s proficiency in English.

Part B – General Knowledge

The question paper on General Knowledge 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 as exhaustive and questions on topics of similar nature not specifically mentioned in the syllabus may also be asked. Your answers are expected to show your knowledge and intelligent understanding of the subject.

Section A: Physics

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

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, Mariner’s Compass; Lightening Conductors, Safety Fuses.

Section B: Chemistry

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.

Section C: General Science

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.

Section D: History, Freedom Movement, etc.

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.

Section E: Geography

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. 

Section F: Current Events

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.

 

Note:

Out of maximum marks assigned to part ‘B’ of this paper, questions on Sections A, B, C, D, E and F will carry approximately 25%, 15%, 10%, 20%, 20% and 10% weightage respectively.

Important Dates

Exam Date :

23-Apr-2017 TO 05-Dec-1992

Form Notice Date :

18-Jan-2017 TO 05-Dec-1992

Admission Form Date :

18-Jan-2017 TO 10-Feb-2017

Form Submission Date :

05-Dec-1992 TO 05-Dec-1992

Result Date :

05-Dec-1992 TO 05-Dec-1992

Counselling Date :

05-Dec-1992 TO 05-Dec-1992

Admission Date :

05-Dec-1992 TO 05-Dec-1992