NDA 2024 Exam Analysis (OUT): NDA 1 Review for Maths & GAT

The difficulty level of NDA Maths paper is usually moderate while GAT was easy. The English Language paper of NDA is usually easy where questions are asked on grammar, vocabulary, and comprehension. The General Awareness section of NDA is moderate. Candidates need to keep themselves updated with the latest events in India and the world. To ace the exam, candidates need to understand the exam pattern and syllabus, practice mock test, solve previous years' question papers, etc. With hard work and dedication, candidates can crack the exam easily. The total marks allotted to the written exam of NDA are 900. Candidates need to secure 25 per cent in each subject to qualify the exam. Candidates qualifying the written exam of NDA are called for SSB Interview. 

NDA marking scheme is prescribed by UPSC. The marking scheme highlights the marks awarded for correct answers and marks deducted for wrong answers. In Maths 2.5 marks are awarded for correct answers and 0.83 marks are deducted for wrong answers. In GAT four marks are awarded for correct answers and 1.33 marks are deducted for the wrong answers. The score of the written exam is calculated out of 900 marks. The examination authority calculates the scores of candidates based on the marking scheme. The structure of NDA marking scheme is given below.

NDA question papers are released by UPSC within two to three days after the question papers are released. NDA 2 question paper is available now. NDA question papers are made available on the official website of UPSC in PDF. Candidates can download NDA question papers for different subjects-Maths and GAT. Practising the question papers, candidates can know the type of questions asked in the exam.

To download NDA question papers for free, candidates need to follow the steps given below:

• Visit our website-Shiksha.com
• Create your profile with us by entering certain details
• Once your profile is created, you will be able to download the question papers for free
• Download the question papers and save it

Also Read: NDA previous year question paper

Questions in NDA exam are asked from the below-mentioned topics:

Mathematics: Algebra, Calculus,  Matrices and Determinants,  Integral Calculus and Differential Equations, Trigonometry,  Vector Algebra, Analytical Geometry Of Two and Three Dimension and Statistics and  Probability. 

GAT: The GAT syllabus of NDA is divided into two parts. Part A comprises questions from English, while Part B carries questions from General Knowledge. Questions in English part are asked from Grammar and Usage, Vocabulary,  Comprehension, and Cohesion. Questions in General Knowledge are asked from Physics, Chemistry, Social Studies, General Science, Geography, and Current Events.

The number of candidates who apply and appear for NDA exam is given below:

NDA exam is conducted for admission to the Army, Navy and Air Force wings of National Defence Academy and Indian Naval Academy Course. CDS exam is conducted to select eligible candidates for Indian Military Academy (IMA), Indian Naval Academy (INA), Air Force Academy (AFA) and Officers Training Academy (OTA). NDA and CDS syllabus are different. The level of NDA syllabus is of Class 10, 11 and 12 levels. Whereas, the standard of CDS syllabus is of graduation level. NDA syllabus is divided into Maths and GAT. CDS syllabus is divided into Elementary Maths, English and General Awareness. The total marks allotted to the NDA written exam are 900. The total marks allotted to the written exam of CDS are 300 for IMA, INA and AFA and 200 for OTA. 

NDA syllabus is prescribed by UPSC. The syllabus is mentioned on the notification. NDA syllabus is divided into Maths and GAT. The standard of NDA syllabus is of Class 10, 11 and 12 levels. The total marks allotted to the written exam are 900. NDA Maths syllabus comprises topics such as Algebra, Calculus, Matrices and Determinants, Integral Calculus and Differential Equations, Trigonometry, Vector Algebra, Analytical Geometry Of Two and Three Dimension and Statistics and  Probability. NDA GAT syllabus comprises topics such as Grammar and Usage, Vocabulary, Comprehension, and Cohesion, Physics, Chemistry, Social Studies, General Science, Geography, and Current Events.

NDA Maths syllabus covers the topics from higher secondary Mathematics on Trigonometry Algebra Differential Calculus, 2D and 3D Geometry, Matrix and Determinants etc. A total of 120 questions are asked in the Maths section and carry 300 marks. Candidates must clear their basics from Class 10, 11 and 12 Maths books. NDA syllabus for Maths is given below:

Algebra: Sets, Venn diagrams, De Morgan laws, Cartesian product, relation, equivalence relation. Real numbers, Complex numbers, Modulus, Cube roots, Conversion of a number in Binary system to Decimals and vice-versa. Arithmetic, Geometric and Harmonic progressions. Quadratic equations, Linear inequations, Permutation and Combination, Binomial theorem and Logarithms.

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, Continuity of functions, algebraic operations on continuous functions. Derivative of function at a point, geometrical and physical interpretation of a derivative-application. 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

Matrices and Determinants: 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.

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 differential equations, solution of first order and first-degree differential equations of various types—examples. Application in problems of growth and decay.

Trigonometry: Angles and their measures in degrees and in radians. Trigonometric ratios. Trigonometric identities Sum and difference formulae. Multiple and Sub-multiple angles. Inverse trigonometric functions. Applications-Height and distance, properties of triangles.

Vector Algebra: Vectors in two and three dimensions, magnitude, and direction of a vector. Unit and null vectors, the addition of vectors, scalar multiplication of a vector, scalar product, or dot product of two vectors. Vector product or cross product of two vectors. Applications—work done by a force and moment of a force and in geometrical problems.

Analytical Geometry Of Two and Three Dimension: Rectangular Cartesian Coordinate system, Distance formula, Equation of a line in various forms. The angle between two lines. Distance of a point from a line. Equation of a circle in standard and in a general form. Standard forms of parabola, ellipse, and hyperbola. Eccentricity and axis of a conic. Point in a three-dimensional space, the distance between two points. Direction Cosines and direction ratios. Equation 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.

Statistics and Probability: 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 Binomial distribution.