NDA Syllabus PDF Download Exam Paper Pattern in Hindi & English

NDA Syllabus

Hello candidates welcome again on our website. We always try to upload every information as soon as we get from organizations. National Defence
Academy (NDA) entrance every year conduct entrance examination.

National Defence Academy (NDA) is a government organization. Its examination is conducted by UPSC. NDA is very popular organization in India. Everyone wish to get select in National Defence Academy (NDA) because of its huge reputation across India.

Its entrance examination is very tough. There will be two examination in entrance test. Because of large competition large number of candidates fails to clear the predefined cut off level. Candidates those who really wish to become the part of National Defence Academy (NDA) need to work very hard and give their best in the examination. Only talented and hardworking candidates clear its examination.

Its examination conducts most probably in the month of April. Candidates are advised to work very hard and always start preparation with fresh and stress free mind. Then only you can easily understand the concepts.

Knowing the complete syllabus of National Defence Academy (NDA) should be first priority of the students. After getting complete information of syllabus and examination pattern candidates can make the proper schedule of study and study according to that in such a manner you can finish the complete syllabus in sufficient time.

NDA Preparation Material
Here in this web page we are going to inform you the complete syllabus for both the examination of National Defence Academy (NDA) and question paper pattern.

Syllabus of National Defence Academy (NDA) examination and question paper pattern:

There will be two examination NDA 1 and NDA 2. Each examination is of 900 marks. Paper 1 is completely written test while paper 2 contains written test and as well as interview. You can select the language of question paper as well. Question paper will be available in both languages Hindi and English. There will be negative marking as well if you give wrong answer of a question in National Defence Academy (NDA) examination. Time duration for each paper is two and half hours. Now the detailed syllabus for both the papers are given below:



  • Algebra
  • Matrices and Determination
  • Trigonometry
  • Analytical Geometry
  • Differential Calculus
  • Integral Calculus and Differential Equations
  • Vector Algebra
  • Statistics and Probability

Statistics and Probability:
  • Concept of 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 and 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.
  • 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
  • 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
Matrices and Determinants:
Vector Algebra:
  • 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.
  • 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
Differential Calculus:
Integral Calculus and Differential Equations:
  • 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 function at a point, geometrical and physical interpretation 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
  • 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
Analytical Geometry of two and three dimensions:
  • 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
  • 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
Read Also ->> Way to Prepare For Mathematics Examination


General Ability Test:

  • English
  • General Knowledge

Better preparation can be accomplished only when you know the complete syllabus. Our website team provide you the complete syllabus examination pattern for National Defence Academy (NDA). Now work hard and clear National Defence Academy (NDA) examination. Good Luck to the candidates for National Defence Academy (NDA) examination.


Dear candidates if you have any queries regarding National Defence Academy (NDA) examination syllabus and question paper pattern you can comment in the comment box.

For more info of syllabus please visit - www.nda.nic.in

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