Previous Year Paper: National Defence Academy & Naval Academy Exam (I) | UPSC Guide

To prepare for this written test we have displayed you the UPSC NDA previous year question paper below..

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NDA is basically National Defence Academy which conducts Army Recruitment exam at school level students which are in Studying in classes from 10th to 12th. This Academy is providing pride to our nation from such an long time. We provide you some latest version Sample papers or Guess papers for the students who are just going to appear in NDA exam for joining Indian Army.

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UPSC NDA recruitment includes written examination and interview. NDA NA Maths Exam Solved Papers Download link is provided on this page so that the candidates are aware of the level of the paper

Maths Syllabus for NDA Exam	Topics
NDA Algebra syllabus topics	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 in equations of two variables by graphs Permutation and Combination Binomial theorem and its application Logarithms and their applications.
NDA Trigonometry Syllabus topics	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.
NDA Matrices and Determinants Syllabus topics	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.
NDA Analytical Geometry Syllabus	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
NDA Differential Calculus Syllabus topics	Concept of a real valued function – domain range and graph of a function Composite functions Derivative of function at a point Derivatives of sum Product and quotient of functions Derivative of a function with respect to another function Derivative of a composite function Second order derivatives Increasing and decreasing functions Application of derivatives in problems of maxima and minima.
Integral Calculus and Differential Equations topics	Integration as inverse of differentiation Integration by substitution and by parts Standard integrals involving algebraic expressions Trigonometric Exponential and hyperbolic functions General and particular solution of a differential equation
NDA Vector Algebra Syllabus topics	Vectors in two and three dimensions Magnitude and direction of a vector Unit and null vectors addition of vectors Scalar multiplication of vector
NDA Statistics and Probability Syllabus topics	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 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 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.

. These NDA Sample papers or guess papers can surely help every students to fulfill there desire of being selected in Indian Army & Navy..

Revise and redo till you are able to solve the problem (s) all by yourself..

Try all this paper and practice well. Well in this post we are providing you NDA NA Sample papers with solutions.

Download Mathematics – UPSC NDA II previous year solved question papers 2012.

The NDA NA Exam preparation has to be done in a proper way so that it can be cleared.. 70,000/- ......60,000/-........50,000/-....or even more ???

. English Skill                               :- 200 marks General skills and strength :- 400 marks  Click here to download these NDA Exam Sample Papers :-  NDA Exam General Ability Sample Papers :-  Click Here.

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