UPSC NDA NA I Syllabus 2020 PDF Download – Exam Date @

Harika | Jul 15, 2020

UPSC NDA NA I Syllabus 2020 – Overview

Name of the Board
Union Public Service Commission
Job Role
National Defence Academy and Naval Academy
Mode of Application
Number Of Vacant posts
418 Posts
Selection Process
Written Test & Interview
Job Category
Central Govt Jobs
Official Site
Name of the category
Exam Syllabus
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UPSC NDA NA I Syllabus 2020

UPSC is going to conduct the National Defence Academy and Naval Academy Written Test on 19th April 2020. Candidates who have applied for the UPSC NDA Post can start the preparation for the written test by the syllabus provided below. Knowing important topics before starting preparation is very important. It is the initial step to start preparing for the exam. This helps you to score better marks and understand the question paper easily. You can also take a UPSC NDA Mock Test online to test your skills.

National Defence Academy Selection Procedure

Eligible aspirants will be selected based on the merit in written test and interview by the UPSC NDA NA I selection committee officials

NDA 2020 Written Test Exam Pattern

The UPSC NDA NA Written Examination Pattern is given below

  • There will be Part A (Mathematics) and Part B (General Ability Test)
  • Part A
  • Subject – Mathematics
  • Duration of Time – 2 Hrs 30 Min
  • Total Marks – 300
  • Part B
  • Subject – General Ability Test
  • Duration of Time – 2 Hrs 30 Min
  • Total Marks – 600

UPSC NDA NA Syllabus 2020

Mathematics – Algebra

  • Concept of sets
  • Operations on sets
  • Venn diagrams
  • De Morgan laws
  • Cartesian product
  • Representation of real numbers on a line
  • Complex numbers
  • Basic properties
  • Modulus and Argument
  • 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
  • The solution of linear inequations
  • Permutation and Combination
  • Binomial theorem and its applications
  • Logarithms and their applications

Matrices and Determinants

  • Types of matrices
  • Operations on matrices
  • The determinant of a Matrix
  • Basic properties of Determinants
  • Adjoint and inverse of a square matrix
  • Applications-Solution of a system of linear equations
  • Cramer’s rule and by Matrix Method


  • Angles and their Measures
  • Trigonometrical ratios
  • Trigonometric identities
  • Multiple and Sub-multiple angles
  • Inverse Trigonometric Functions
  • Applications-Height and distance
  • Properties of triangles

Differential Calculus

  • Concept of a Real-Valued Function
  • Domain, Range and Graph of a function
  • Composite functions
  • One to one, onto and inverse functions
  • Standard limits—examples
  • Continuity of functions—examples
  • Algebraic operations on continuous functions
  • A derivative of a function at a point
  • The geometrical and physical interpretation of a derivative—applications.
  • Derivation of sum, product and quotient of functions
  • A derivative of a function
  • The derivative of a composite function
  • Second-order derivations
  • Increasing and decreasing functions
  • Application of derivations in problems of maxima and minima

Statistics and Probability

  • 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 and outcomes
  • 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
  • Binomial distribution
  • Examples of random experiments

General Ability Test

  • Grammar and usage
  • Vocabulary
  • Comprehension and Cohesion

Frequently Asked Questions

Q. Where can I get detailed UPSC NDA NA I Syllabus?


Q. What is the selection process forUPSC NDA NA I Jobs?

Ans. Written Test & Personality Test.

About Author



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