UPSC NDA NA Exam Pattern Syllabus Download Past Papers – Check How to Apply


The National Defence Academy (NDA) is the Joint Services academy of the Indian Armed Forces, where cadets of the three services, the Army, the Navy and the Air Force train together before they go on to pre-commissioning training in their respective service academies. The NDA is located at Khadakwasla near Pune, Maharashtra. It is the first tri-service academy in the world.  Applicants to the NDA are selected via a written exam conducted by the UPSC, followed by extensive interviews covering general aptitude, psychological testing, team skills as well as physical and social skills, along with medical tests. Incoming classes are accepted twice a year for semesters starting in July and January. About 320,000 applicants sit for each written exam.   The NDA offers only a full-time, residential undergraduate programme. Cadets are awarded a Baccalaureate degree (a Bachelor of Arts or a Bachelor of Science or a “Bachelor of Technology” ) after 3 years of study. Cadets have a choice of two streams of study. The Science stream offers studies in Physics, Chemistry, Mathematics and Computer Science. The Humanities (Liberal Arts) stream offers studies in History, Economics, Political Science, Geography and Languages.

This year 2016 Union Public Service Commission had invited applicants to apply for National Defence Academy & Naval Academy Examination (I), 2016.  The approximate number of vacancies of NDA is 320 and for Naval Academy is 55, taking the total to 375. Interested and eligible candidates need to apply online through the official website. Last date to apply online for this exam is today, January 29, 2016.  Below we have provided the complete details of  NDA & NA Exam 2016.

DETAILS OF UPSC NDA NA Exam 2016

Name of Organization  :  Union Public Service Commission

Official Site  :   www.upsc.gov.in

Name of Exam  :  National Defense Academy & Naval Academy Examination

Posts to be filled on the Result of these Examinations  are as follows :

National Defence Academy : 320 (208 for Army, 42 for Navy 300 and 70 for Air Force)

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

Total : 375

Age  :- Only unmarried male candidates born not earlier than 02nd July, 1997 and not later than 1st July, 2000 are eligible.  Candidates should note that only the date of birth as recorded in the Matriculation/Higher Secondary Examination Certificate available or an equivalent certificate on the date of submission of applications will be accepted by the Commission and no subsequent request for its change will be considered or granted.

Educational Qualifications :-

(i) For 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.

(ii) For Air Force and Naval Wings of National Defence Academy and for the 10+2 Cadet Entry Scheme at the Indian Naval 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. 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.

Important Dates to Remember  :

Last Date to Apply  :  29/01/2016  till 11.59 PM

Date of Examination  :  An Examination will conducted by the Union Public Service Commission on 17th April, 2016

Exam Centres: Agartala, Ahmedabad, Aizawl, Allahabad, Bangalore, Bareilly, Bhopal, Chandigarh, Chennai, Cuttack, Dehradun, Delhi, Dharwad, Dispur, Gangtok, Hyderabad, Imphal, Itanagar, Jaipur, Jammu, Jorhat, Kochi, Kohima, Kolkata, Lucknow, Madurai, Mumbai, Nagpur, Panaji (Goa), Patna, Port Blair, Raipur, Ranchi, Sambalpur, Shillong, Shimla, Srinagar, Thiruvananthapuram, Tirupati, Udaipur, Vishakhapatnam.

Scheme of NDA Entrance Examination

1. The subjects of the written examination, the time allowed and the maximum marks allotted to each subject will be as follows :–

Subject Code Duration

Maximum Marks

Mathematics 01 2-½ Hours

300

General Ability Test 02 2-½ Hours

600

  Total    900

2. The papers in all the subjects will consist of objective type questions only. The question papers (Test Booklets) OF MATHEMATICS AND PART “b” OF GENERAL ABILITY TESTS WILL BE SET BILINGUALLY IN HINDI AS WELL AS  English.

3. In the question papers, wherever necessary, questions involving the metric system of Weights and Measures only will be set.

4. Candidates must write the papers in their own hand. In no circumstances will they be allowed the help of a scribe to write answers for them.

5. The Commission have discretion to fix qualifying marks in any or all the subjects at the examination.

6. The candidates are not permitted to use calculator or Mathematical or logirithmic table for answering objective type papers (Test Booklets). They should not therefore, bring the same inside the Examination Hall.

Penalty for wrong answers: Candidates should note that there will be penalty (negative marking) for wrong answers marked by a candidate in the objective type question papers.

NDA & NA Entrance Examination Syllabus

Paper-I    Mathematics
(Maximum Marks – 300)

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 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

HOW TO APPLY

Interested and eligible Candidates can apply for UPSC NDA & NA Examination 2016 from the official site www.upsc.gov.in .   Below we have provided the pdf of past year question papers .  Candidates can download them and start their preparation for exam.

Click Here For NDA & NA Past Qestion Papers General Ability Test

Click Here For NDA & NA Past Question Papers Mathematics

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