NDA and NA Exam (I)-2017

NDA

$$$NDA and NA Exam (I)-2017 $$$

###Important Dates ###

Date of Notification: 18th January 2017

Online Applications (Part I & II) can be filled from 18th January 2017 to 10th February 2017

##Last Date for Receipt of Applications: 10th February 2017

##Availability of e-Admit Cards: 3 Weeks before the commencement of Exam

##The Online Applications can be filled upto 10th February 2017 till 06.00 PM

Date of NDA 2017 (I) Examination: 23rd April 2017 (Sunday)

##Written Exam Results will be declared in July-Aug 2017 (tentative)

##INAC commencing from: 02nd January 2018

##SSB Interview for the candidates qualified in Written Exam will be held during September 2017 to October 201

The Union Public Service Commission will conduct an Exam on 23rd April 2017 (Sunday), for admission to the Army, Navy and Air Force wings of the NDA for the 139th Course, and for the 101st Indian Naval Academy Course (INAC) commencing from 02nd January 2018

The candidates Joining Indian Naval Academy would undergo 4 years B. Tech Course and would be given an opportunity to join Executive and Technical Branches of the Navy subject to availability of vacancies

National Defence Academy: 355 (208 for Army, 55 for Navy and 72 for Air Force)

Naval Academy: 55 (10+2 Cadet Entry Scheme)

Total Vacancies: 390

Vacancies are provisional and may be changed depending on the availability of training capacity of National Defence Academy and Indian Naval Academy.

Application Fee

Candidates (excepting SC/ST candidates/Sons of JCOs/NCOs/ORs specified in Note 2 below who are exempted from payment of fee) are required to pay a fee of Rs. 100/- (Rupees one hundred only) either by depositing the money in any Branch of SBI by cash, or by using net banking facility of State Bank of India/State Bank of Bikaner & Jaipur/State Bank of Hyderabad/State Bank of Mysore/State Bank of Patiala/State Bank of Travancore or by using Visa/MasterCard Credit/Debit Card

Applicants who opt for “Pay by Cash” mode, should print the system generated Pay-in-slip during Part-II Registration and deposit the fee at the counter of SBI Branch on the next working day only

“Pay by Cash“ mode option will be deactivated at 23.59 hours of 09th February 2017 i.e. one day before the closing date; however, applicants who have generated their Pay-in- slip before it is de-activated may pay at the counter of SBI Branch during banking hours on the closing date

Fee once paid shall not be refunded under any circumstances nor can the fee be held in reserve for any other examination or selection

NOTE-1 : The applicants are advised to submit only single application; however if due to any unavoidable situation, if he submits another/multiple applications, then he must ensure that application with the higher RID is complete in all respects like applicants’ details, examination centre, photograph, signature, fee etc. The applicants who are submitting multiple applications should note that only the applications with higher RID. (Registration ID) shall be entertained by the Commission and fee paid against one RID shall not be adjusted against any other RID.

Note-II: All candidates whether already in Government Service including candidates serving in the Armed Forces, Sailors (including boys and artificers apprentices) of the Indian Navy, Cadets of Rashtriya Indian Military College (previously known as Sainik School, Dehradun), Students of Military Schools (formerly known as King George’s Schools) and Sainik Schools run by Sainik Schools Society, Government owned industrial undertakings or other similar organizations or in private employment should apply online direct to the Commission.

The eligible candidates shall be issued an e-Admit Card three weeks before the commencement of the exam

The e-Admit Card will be made available on the UPSC website www.upsc.gov.in for being downloaded by candidates. No Admit Card will be sent by post. All the applicants are required to provide valid & active Email ID while filling up online application form as the Commission may use electronic mode for contacting them.

In case of any guidance/information/clarification regarding their applications, candidature etc. candidates can contact over Telephone No.: 011-23385271/011-23381125/011-23098543 on working days between 10.00 hrs. & 17.00 hrs

Paper-I    Mathematics
(Maximum Marks – 300)

##1Algebra : ##
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 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 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.

Paper-II 

General Ability Test
(Maximum Marks-600) 

Part ‘A’ – ENGLISH (Maximum Marks 200). The question paper in English will be designed to test the candidate’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 candidate’s proficiency in English.

Part ‘B’ – GENERAL KNOWLEDGE

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