All About NDA Exam Information

Mathematics and General Ability components are included in the NDA Syllabus. Union Public Service Commission (UPSC) conducts the National Defence Academy (NDA) exam to enrol candidates in the Indian Defense Forces, which comprise the Indian Army, Indian Navy, and Indian Air Force. The National Defence Academy (NDA) Exam is held twice a year, NDA (I) and NDA (II) (II).

National Defence Academy (NDA) Exams are conducted by UPSC and involve general aptitude interviews, psychological testing, team-building skills, physical and social skills, and medical tests. It’s not at all simple. Thus, complete details of NDA Syllabus 2021, such as NDA 1 Syllabus 2021, NDA 2 Syllabus 2021, NDA Syllabus 2021 Free PDF Download, and so on, can be found here.

Syllabus for NDA 2021:

The Syllabus of NDA 2021 is prescribed by the Union Public Service Commission (UPSC) along with the notification. The UPSC NDA Exam consists of two parts: Mathematics and General Ability Test (GAT). The UPSC NDA syllabus 2021 contains a list of topics from which questions will be asked during the test.

The degree of complexity of the moths questions is comparable to that of a class twelve student. The UPSC NDA Syllabus 2021 for the General Ability Test includes topics to measure candidates’ English language proficiency as well as their knowledge of disciplines such as physics, chemistry, general science, social studies, geography, and current events.

UPSC NDA Exam Syllabus 2021:

NDA Syllabus 2021 for Mathematics Paper I:


Concept Of A Set
Operations on Set
Venn Diagrams De Morgan Laws
Cartesian Product Relation
Equivalence Relation
Representation of Real Number on a Line
Complex Numbers – Basic Properties
Modulus Argument
Cube Roots of Unity
Binary System of Numbers
Conversion of a number in Decimal
System to binary system and vice-versa
Geometric & Harmonic Progression
Quadratic Equations with Real Coefficients
The solution of Linear Inequations of two variables by Graph
Permutation and combination
Binomial theorem and its application
Logarithms and their applications


Operations on Matrices Determinant of a Matrix
Basic Properties of Determinant
Adjoint & Inverse of a Square Matrix
Applications—Solutions of a System of Linear Equations in two or three unknowns by Cramer’s Rule and by Matrix Method.


Rectangular Cartesian Coordinate System
Diatance Formula
Equation of a line in various forms
The angle between two lines
Equations of a circle in standard and in general form
Ellipse & Hyperbola
Eccentricity ad Axis of a Conic
The point in a three Dimensional space, Distance between two points
Direction Cosines and Direction Ratios
The equation of plane and a Line in various forms
The angle between two lines & the angle between two planes
The equation of a sphere


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.


Concept Of A Real-Valued Function – Domain
Range And Graph Of A Function
Composite Functions
Derivative Of Function At A Point
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 Differentiation
Integration by parts and Substitution
Standard Integrals Involving Expression of Algebric
Hyperbolic and Exponential Function
Evaluation of definite Integrals—Determination of areas of plane regions bounded by curves.


Definition Of Order And Degree Of A Differential Equation
Formation Of A Differential Equation
General And Particular Solution Of A Differential Equation
Solution Of First Order And First Degree Differential Equations Of Various Types
Application In Problems Of Growth And Decay


Classification of data
Frequency distribution
Cumulative Frequency Distribution—examples
Graphical Representation – Histogram
Pie chart
Frequency Polygon – examples
Measures of Central Tendency – Mean Median & Mode
Variance & Standard Deviation Determination & Comparision
Correlation and Regression


Random Experiment
Outcomes And Associated Sample Space
Mutually Exclusive And Exhaustive Events
Impossible And Certain Events
Union And Intersection Of Events
Elementary And Composite Events
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.


Vectors In Two And Three Dimensions
Magnitude And Direction Of A Vector
Unit And Null Vectors Addition Of Vectors
Scalar Multiplication Of Vector

Syllabus for General Ability Paper II:

This section of the syllabus is divided into two parts, part A is for English paper and part B is for General Knowledge:


Grammar and Usage
Comprehension and Cohesion in Extended Text
Use of Words


The paper consists of general knowledge and covers subjects such as Chemistry, Physics, Social Studies, General Science, Geography & Current Affairs.

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