NDA Syllabus 2023: Topics & Syllabus

NDA Syllabus 2023 : Subject-wise Topics & Syllabus

NDA Syllabus 2023

Union Public Service Commission (UPSC) prescribes NDA syllabus for the written exam along with the official notification on its website. UPSC conducts the National Defence Academy exam twice a year to recruit suitable male and female candidates for the defence forces of the country. NDA syllabus is divided into two papers-Maths and General Ability Test (GAT). Total of 120 questions are asked from the Maths section and 150 questions are there in the GAT paper.

NDA syllabus is divided into two papers-Maths and General Ability Test (GAT). NDA GAT syllabus aims to test a candidate’s basic knowledge of History, GK, Current Affairs of National and International Events, English, Science, and Geography. NDA Maths syllabus assesses a candidate’s ability to solve Mathematical problems by applying formulas, theorems, etc. The level of NDA syllabus is of Class 10, 11, and 12 standards. In NDA syllabus, GAT paper holds the maximum weightage. Total marks allotted to GAT paper are 600. The Maths paper carries 300 marks. UPSC conducts the SSB interview for candidates who obtain the cut off marks in the written exam. With the help of the NDA syllabus, candidates can know the important topics for the exam and plan their studies accordingly.

NDA Syllabus 2023 Highlights

Name of the ExamNational Defence Academy Exam or NDA exam
Exam Conducting BodyUnion Public Service Commission, UPSC
Frequency of NDA ExamTwo times a year (NDA 1 & NDA 2)
Selection ProcessWritten Test 
Intelligence & Personality Test (SSB)
Mode of examOffline (Pen and Paper mode)
Total Papers in NDA ExamMathematics
General Ability Test (GAT)
Total Marks for NDA ExamTotal: 900 Marks
Mathematics: 300 Marks
GAT: 600 Marks
Total No. of QuestionsMathematics: 120
GAT: 150
Negative MarkingMathematics: -0.83
GAT: -1.33 marks
Exam DurationMathematics: 2 Hours 30 Minutes
GAT: 2 Hours 30 Minutes

NDA Syllabus for Paper 1

NDA syllabus for Paper 1 comprises topics and sub-topics from Maths. This paper carries 120 questions of Class 10, 11 and 12 standards. Candidates get 2.5 marks for each correct answer and there is also a negative marking of 0.83 marks for each incorrect answers. 

NDA Maths Syllabus 2023

The standard of NDA question paper for the Mathematics section is of Class 11 and 12 levels. Candidates can clear their concepts of Maths by referring to the NCERT books of Class 11 and 12. This section tests the candidate’s calculative skills. Let us know the topic-wise NDA Mathematics syllabus.

AlgebraSetsVenn 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.
CalculusConcept 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 DeterminantsTypes 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 EquationsIntegration 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.
TrigonometryAngles 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 AlgebraVectors 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 DimensionRectangular 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 ProbabilityProbability: 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.

NDA Syllabus 2023 for Paper 2

NDA syllabus for Paper 2 comprises General Ability Test (GAT) which includes the topics and sub-topics from General Knowledge (GK), English, Chemistry, Physics, Geography, General Science, and Current Events. A total of 150 questions are asked in this paper, out of which 50 questions are from English and the remaining 100 questions are from General Knowledge. The total marks allotted to this section are 600. The basic overview of NDA syllabus for Paper 2 is given below.

Total marks allotted for GAT paper600 marks
No. of questions150
Total questions in English50
Total Questions in GK 100
Total Marks for English 200
Total Marks for GK400
Marks for Correct Answer4 marks in each section
Marks for Incorrect Answer-1.33 marks in each section
Total Duration of GAT Paper2 Hours 30 Minutes

NDA English Syllabus 

The question paper in English is designed to test the candidate’s understanding of English. The syllabus covers topics such as Grammar and Usage, Vocabulary, Comprehension and Cohesion.

NDA Syllabus for GAT

The question paper of GAT covers the subjects that include Physics, Chemistry, Social Studies, General Science, Geography and Current Events. NDA syllabus for GAT is given below.

NDA Exam Pattern 2023

SubjectMarksNumber of questionsDuration of test
Mathematics3001202 ½ hours
GAT6001502 ½ hours
Total9002705 hours

Also check – https://examregion.com/

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