NDA 2019 is to be held on 17 November 2019. UPSC has set the NDA 2019 syllabus. NDA exam is divided into two papers - Mathematics and General Aptitude. It aims at judging a candidate on his / her logical ability and general awareness.

• Mathematics paper contains 300 marks while General Ability test holds 600 marks. The written test will be of total 900 marks.
• For every incorrect response, 0.33 marks will be deducted as negative marking in the examination.
• After clearing the written test, candidates have to go through the SSB Interview. The interview process will have total 900 marks.

The question paper of Mathematics and PART B of General Ability test will be available in both English and Hindi languages. For other details, please check the link below - https://www.ndaexams.in

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The NDA Written Exam consists of two papers as given below:

1. Paper I: Mathematics
2. Paper II: GAT ( Part A: English & Part B: General Knowledge)

NDA Syllabus For Maths is given below :-

• a. The concept of set, operations on sets, Venn diagrams. De Morgan laws, Cartesian product, relation, equivalence relation. Representation of real numbers on a line.
• b. Complex numbersbasic properties, modulus, argument, cube roots of unity.
• c. The binary system of numbers. Conversion of a number in decimal system to a binary system and vice-versa.
• d. Arithmetic, Geometric and Harmonic Progressions
• e. Quadratic equations with real coefficients.
• The solution of linear inequations of two variables by graphs.
• Permutation and Combination
• Binomial theorem and its applications
• Logarithms and their applications.
• . Types of matrices, operations on matrices
• b. The determinant of a matrix, basic properties of determinants
• c. Adjoint and inverse of a square matrix,
• d. Applications Solution of a system of linear equations in two or three unknowns by Cramers rule and by Matrix Method.
• Angles and their measures in degrees and in radians.
• b. Trigonometrical ratios
• c. Trigonometric identities Sum and difference formulae. Multiple and Sub-multiple angles.
• d. Inverse trigonometric functions.
• e. Applications-Height and distance,
• f. Properties of triangles.
• Rectangular Cartesian Coordinate system
• b. Distance formula, An equation of a line in various forms, An angle between two lines, A distance of a point from a line
• c. An equation of a circle in standard and in general form
• d. Standard forms of parabola, ellipse, and hyperbola, Eccentricity and axis of a conic.
• e. Point in a three-dimensional space, the distance between two points
• f. Direction Cosines and direction ratios, Equation two points. Direction Cosines and direction ratios.
• g. The equation of a plane and a line in various forms. The angle between the two lines and the angle between the two planes. The equation of a sphere.
• The concept of a real-valued functiondomain, range, and the graph of a function. Composite functions, one to one, onto and inverse functions.
• a. Notion of limit, Standard limitsexamples.
• b. Continuity of functionsexamples, algebraic operations on continuous functions.
• c. Derivative of function at a point, geometrical and physical interpretation of a derivativeapplications.
• d. Derivatives of the sum, product, and quotient of functions,
• e. Derivative of a function with respect to another function,
• f. Derivative of a composite function. Second order derivatives
• g. Increasing and decreasing functions.
• h. Application of derivatives in problems of maxima and minima.
• Integration as inverse of differentiation,
• b. Integration by substitution and by parts,
• c. Standard integrals involving algebraic expressions, trigonometric, exponential and hyperbolic functions.
• d. Evaluation of definite integrals determination of areas of plane regions bounded by curvesapplications.
• e. Definition of order and degree of a differential equation,
• f. Formation of a differential equation by examples.
• g. General and particular solution of differential equations,
• h. Solution of first order and first degree differential equations of various typesexamples.
• i. Application in problems of growth and decay.
• Vectors in two and three dimensions,
• b. Magnitude and direction of a vector
• c. Unit and null vectors,
• Addition of vectors,
• Scalar multiplication of a vector,
• . Scalar product or dot product of two vectors
• . Vector product or cross product of two vectors.
• Applicationswork done by a force and moment of a force and in geometrical problems
• Classification of data, Frequency distribution, cumulative frequency distributionexamples. Graphical representationHistogram, Pie Chart, frequency polygonexamples. Measures of Central tendencyMean, median and mode. Variance and standard deviationdetermination 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 probabilityclassical and statistical examples. Elementary theorems on probabilitysimple problems. Conditional probability, Bayes theoremsimple problems. Random variable as function on a sample space. Binomial distribution, examples of random experiments giving rise to Binominal distribution.

So the syllabus of maths is actually syllabus of class 11 and 12 maths.

NDA Syllabus For Paper 2 (General Aptitude Test) is given below :-

NDA Written Exam Paper 2 has two sections the syllabus of which is tabulated below:-

1. NDA Syllabus For Part A English

The question paper in English will be designed to test the candidates understanding of English language and its application/usage. The syllabus covers various aspects like:

• Grammar and usage,
• Vocabulary,
• Comprehension and cohesion in extended text to test the candidates proficiency in English.

2. NDA Syllabus For Part B General Knowledge


The question paper on General Knowledge will broadly cover the subjects:

• Physics,
• Chemistry,
• General Science,
• Social Studies,
• Geography, and
• Current Events .

Thankyou

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