2/1/2019 National Defence Academy NDA Exam Pattern & Syllabus
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National Defence Academy NDA Exam Pattern & Syllabus
Mansi Agarwal June 28, 2017 Syllabus Comments
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National Defence Academy NDA Exam Pattern & Syllabus
Union Public Service Commission is going to conduct the National Defense Academy and naval Academy examination with the purpose to
recruit most eligible candidates in Army, Navy and Air Force. Those who have ambition to enhance their career in defense sector have to
qualify the exam.
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Thousands of applicants appears in this UPSC NDA I Exam & UPSC NDA 2 Exam and got selected on the basis of their skills. Aspirants,
who want to grab the respective job opportunity this time must be, prepare themselves in a way, so that they can easily qualify the NDA
Examination. This may be possible if one practice according to the NDA Syllabus 2017–2018.
If candidates give their full concentration on each and every topic, they get the confidence to attend the exam in the proper and correct way
and they can qualify the National Defence Academy and Naval Academy Examination with good cut off marks.
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NDA Exam Details 2017
The Written Exam consists of two objective type papers
The first paper is of Mathematics (300 Marks)
The second one is of General Ability (600 Marks)
This exam is conducted by UPSC.
Exam will be organized in the duration of 2.5 hours.
Candidates, who will qualify NDA NA Exam, will be called
For SSB Test/ Interview, which will contain 900 marks.
NDA Pattern for Exam
Paper Number of Questions Time Marks
Paper I: Mathematics 120 2.5 Hours 300
Paper II: English & General Ability 150 2.5 Hours 600
Total 270 5 Hours 900
Syllabus for NDA 2017
The Mathematics Section of NDA Syllabus consists the following topics:
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2/1/2019 National Defence Academy NDA Exam Pattern & Syllabus
Algebra: Statistics and Probability:
· Concept of set, operations on sets, Venn diagrams
· De Morgan laws
Statistics:
· Classification of data, Frequency distribution, cumulative frequency
distribution – examples
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With ads you can count on · 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:
· Cartesian product, relation, equivalence relation
· Random experiment, outcomes and associated sample space, events,
· Representation of real numbers on a line mutually exclusive and exhaustive events, impossible and certain events
· Complex numbers – basic properties, modulus, argument · Union and Intersection of events. Complementary, elementary and
and cube roots of unity composite events
· Binary system of numbers · Definition of probability – classical and statistical – examples
· Conversion of a number in decimal system to binary system · Elementary theorems on probability – simple problems
and vice-versa
· Conditional probability, Bayes’ theorem – simple problems
· Arithmetic, Geometric and Harmonic progressions
· Random variable as function on a sample space
· Quadratic equations with real coefficients
· Binomial distribution, examples of random experiments giving rise to
· Solution of linear in equations of two variables by graphs Binominal distribution
· Permutation and Combination
· Binomial theorem and its application
· Logarithms and their applications.
Matrices and Determinants: Vector Algebra:
· Types of matrices, operations on matrices · Vectors in two and three dimensions, magnitude and direction of a vector
· Determinant of a matrix, basic properties of determinants · Unit and null vectors, addition of vectors, scalar multiplication of vector,
scalar product or dot product of two-vectors
· Adjoint and inverse of a square matrix
· Vector product and cross product of two vectors
· Applications – Solution of a system of linear equations in
two or three unknowns by Cramer’s rule and by Matrix · Applications-work done by a force and moment of a force, and in geometrical
Method. problems
Differential Calculus: Integral Calculus and Differential Equations:
· Concept of a real valued function – domain, range and · Integration as inverse of differentiation, integration by substitution and by
graph of a function parts, standard integrals involving algebraic expressions, trigonometric,
exponential and hyperbolic functions
· Composite functions, one to one, onto and inverse
functions · Evaluation of definite integrals – determination of areas of plane regions
bounded by curves – applications
· Notion of limit, Standard limits – examples
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2/1/2019 National Defence Academy NDA Exam Pattern & Syllabus
· Continuity of functions – examples, algebraic operations on · Definition of order and degree of a differential equation, formation of a
continuous functions differential equation by examples
· Derivative of function at a point, geometrical and physical · General and particular solution of a differential equation, solution of first
interpretation of a derivative – applications order and first degree differential equations of various types – examples
· Derivatives of sum, product and quotient of functions, · Application in problems of growth and decay
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
Trigonometry: Analytical Geometry of two and three dimensions:
· Rectangular Cartesian Coordinate system
· Distance formula
· Equation of a line in various forms
· Angle between two lines
· Angles and their measures in degrees and in radians
· Distance of a point from a line
· Trigonometrical ratios
· Equation of a circle in standard and in general form
· Trigonometric identities Sum and difference formulae
· Standard forms of parabola, ellipse and hyperbola
· Multiple and Sub-multiple angles
· Eccentricity and axis of a conic
· Inverse trigonometric functions. Applications – Height and
· Point in a three dimensional space, distance between two points
distance, properties of triangles
· 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
UPSC NDA NA Exam Pattern for Paper 1
Paper Subject Total Marks
Algebra
Matrices and Determination
Trigonometry
Analytical Geometry
Mathematics 300
Differential Calculus
Integral Calculus and Differential Equations
Vector Algebra
Statistics and Probability
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2/1/2019 National Defence Academy NDA Exam Pattern & Syllabus
After the candidate qualifies the written test he/she will be called for the next level of testing i.e. interview test , on the basis of that interview
test the mind of the candidate is judged.
Interview Test :
The Union Public Service Commission will declare a qualified list of candidates (based on the written exam).
The selected candidates will appear before a Services Selection Board for Intelligence and Personality Test.
Candidates for the Army/Navy wings of the NDA and Executive branch of Naval Academy will be assessed on officers potentiality
Candidates for the Air Force wing, along with officer potentiality assessment, will also undergo a Pilot Aptitude Test.
After this Qualified candidates will then be placed in the final order of merit on the basis of total marks secured by them in the Written
examination, and the Services Selection Board Tests in three separate lists:
Army and the Navy,
Air Force
Executive course at the Naval Academy.
The names of candidates who qualify for all the Services of NDA and the Naval Academy will appear in all the three Merit Lists.
The final selection for admission will be made in order of merit depending on the number of vacancies in each wing.
Thus in order to seek career in NDA 2017 ONE SHOULD DO HARD LABOUR, if you are positive and your determination level is high then
you can crack it easily. Everything depends upon you how you take it and how you leave it.
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