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UPSC NDA Past Papers Download Exam Dates Syllabus Pattern – Download Admit Card

UPSC NDA Past Papers Download Exam Dates Syllabus Pattern – Download Admit CardUnion Public Service Commission (UPSC) is one of the many constitutional body in India.  UPSC was formed on 1st October, 1926.  It is India’s central agency authorised to conduct the Civil Services Examination, Indian Forest Service examination, Engineering Services Examination, Combined Defence Services Examination, National Defence Academy Examination, Naval Academy Examination, Combined Medical Services Examination, Special Class Railway Apprentice, Indian Economic Service/Indian Statistical Service Examination, Combined Geoscientist and Geologist Examination, and Central Armed Police Forces(Assistant Commandant) Examination.  Every year the UPSC releases Notification and invited application from the deserving and dynamic Candidates for various posts.  In the month of January 2016 UPSC has published an EXAMINATION NOTICE NO.02/2016.NDA-I and invited online application from the eligible candidates for National defence Academy and Naval Academy Examination (I), 2016 to fill 375 vacancies.  The candidates have to apply till 29/01/2016.  Many Candidates have applied for the examination.  The NDA & NA Examination (I) was conducted on 17/04/2016 at various examination centres across the country.  The examination have been successfully completed.

As the NDA & NA Examination (I) has been finished UPSC is going to conduct the NDA & NA Examination (II), 2016.  The Notification will be released on 18/06/2016 and the last date to apply for the examination is 15/07/2016.  Candidates can fill their online application form by visiting the official site of UPSC which is . The NDA & NA Examination (II) will be conducted on 18/09/2016 (Sunday).  In this post we will discuss about the exam pattern, syllabus and previous year papers.

UPSC NDA Past Papers Download Exam Dates Syllabus Pattern

Name of Organization  :  Union Public Servicce Commission

Official Site  :

Name of Exam  :  UPSC NDA & NA Examination (II)

Important Dates  :

Date of Notification  :  18/06/2016

Last date to apply    :   15/07/2016

Date of Exam            :    18/09/2016 (Sunday)

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


   General Ability Test      02       2-½ Hours


  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.

Syllabus of NDA & NA Examination (II) :-

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.

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.


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.


Download NDA & NA Examination (II) past papers – Maths

Download NDA & NA Examination (II) past papers – General Ability Test

Note  :  For more previous papers visit the official website UPSC and click on previous year question paper.

Issue of Admit Cards  :-

The eligible candidates shall be issued an e-Admit Card three weeks before the commencement of the examination. The e-Admit Card will be made available in the UPSC website for being downloaded by candidates. No Admit Card will be sent by post. For downloading the e-Admit Card the candidate must have his vital parameters like RID & Date of Birth or Roll No. (if received) & date of birth or name, father’s name & Date of Birth available with him.
Keep visiting our site for latest news.  We will soon update about the release of NDA & NA Examination (II) as soon it will be revealed officially.  Share your comments with us.

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