UPSC NDA 2 Syllabus 2020

Candidates who are applying for the vacancies of UPSC NDA 2 Recruitment 2020 must check the following article in order to know a detailed syllabus which shall help candidates a lot during their preparation. To help candidates, we have provided subject-wise UPSC NDA 2 Syllabus 2020 and important topics for each section in this post.

  • As per the UPSC NDA 2 2020 Notification, there are two stages in the recruitment that includes a written test and SSB Interview.
  • The UPSC NDA 2 Exam 2020 is conducted for a total of 900 marks out of which 300 marks are for Mathematics and 600 marks are for General Ability.
  • In this post, candidates can find detailed information about the subject-wise syllabus and important topics to be studied for the NDA 2 Exam.
  • According to experts, solving UPSC NDA 2 Previous Papers will help candidates in knowing the difficulty level of the paper, which type of questions can be asked in the exam, and improve speed.

UPSC NDA 2 Syllabus 2020

The UPSC NDA 2 Exam comprises two papers: Paper 1  – Mathematics and Paper 2 – General Ability. The motive of these papers is to evaluate a student on his logical ability and general awareness. Go through the UPSC NDA Exam Pattern 2020 to know about marking scheme and pattern of the exam. The NDA 2 Exam is going to be conducted on 06 September 2020.

  • Before starting with preparation, candidates must be aware of the NDA 2 Syllabus of UPSC. This will help candidates to know all the important topics in exam point of view.
  • The way to proceed with the UPSC NDA 2 syllabus is to note down the topics and prepare a study plan to cover all the topics accordingly.
  • To score more marks in Paper 1, candidates have to focus on topics like algebra, differential calculus, matrices and determinants, vector algebra, etc.
  • Candidates can also download the UPSC NDA 2 Syllabus in Hindi from the official website.
  • Knowing UPSC NDA 2 Army Syllabus 2020 will help candidates in concentrating well in their areas of study and focus on the important topics for the examination.

UPSC NDA 2 Mathematics Syllabus 2020 

This year, the maths syllabus is same as the UPSC NDA 2 Syllabus 2019. As per the NDA Exam Pattern, Mathematics section consists of a total of 120 questions. Take up UPSC NDA 2 Mock Tests regularly to test your preparation. This will help in analyzing questions easily in the final exam.

  • For each correct answer, 2.5 marks will be awarded and for each wrong answer, o.83 marks will be deducted in the exam.
  • To ease your preparation, we have provided subject-wise important topics and its weightage for UPSC NDA 2 Syllabus 2020.
  • Go through the table below and start your preparation accordingly.

The candidates can check the fully elaborated UPSC NDA 2 Syllabus for Mathematics in the table below:

Sections UPSC NDA Maths Syllabus Weightage of Questions
  • The concept of set, operations on sets, Venn diagrams. De Morgan laws, Cartesian product, relation, equivalence relation. Representation of real numbers on a line.
  • Complex numbers—basic properties, modulus, argument, cube roots of unity.
  • The binary system of numbers. Conversion of a number in the decimal system to a binary system and vice-versa.
  • Arithmetic, Geometric and Harmonic Progressions
  • 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
  • The 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.
  • 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.
  • Rectangular Cartesian Coordinate system
  • Distance formula, An equation of a line in various forms, An angle between two lines, A distance of a point from a line
  • An equation of a circle in standard and in general form
  • Standard forms of parabola, ellipse, and hyperbola, Eccentricity and axis of a conic.
  • The point in a three-dimensional space, the distance between two points
  • 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.
DIFFERENTIAL CALCULUS The concept of a real-valued function–domain, range, and the graph of a function. Composite functions, one to one, onto and inverse functions.

  • Notion of limit, Standard limits—examples.
  • Continuity of functions—examples, algebraic operations on continuous functions.
  • Derivative of function at a point, geometrical and physical interpretation of a derivative—applications.
  • The derivatives of the sum, product, and quotient of functions,
  • The derivative of a function with respect to another function,
  • A derivative of a composite function. Second-order derivatives
  • Increasing and decreasing functions.
  • Application of derivatives in problems of maxima and minima.
10 – 15
  • 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,
  • The solution of the first order and first-degree differential equations of various types—examples.
  • Application in problems of growth and decay.
  • Vectors in two and three dimensions,
  • Magnitude and direction of a vector
  • 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.
  • Applications—work done by a force and moment of a force and in geometrical problems
  • a. Statistics: 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.
  • b. 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 Binominal distribution.

nda syllabus

UPSC NDA 2 General Ability Test Syllabus 2020

The General Ability Test for NDA comprises of two sections: English Test & General Knowledge. The NDA 2 paper II is designed to test the candidate’s basic knowledge and English proficiency.

  • A total of 150 questions will be asked in NDA 2 Paper -2 exam and the exam is conducted for 600 marks.
  • Each question carries 4 marks while 1.33 marks will be deducted for each wrong answer.
  • Here, we have provided section-wise important topics for both English and GK. Check the topics and prepare well for the UPSC NDA 2 exam.

UPSC NDA 2 Syllabus 2020: English

In this section, questions are designed to test the candidates’ command over the English language. The UPSC NDA 2 Syllabus for English covers topics like Grammar and usage, Vocabulary, Comprehension and cohesion, Cloze Test, Spotting Errors, Sentence Improvement/Correction, Para Jumbles, Fill in the Blanks, Para/Sentence Completion, Synonyms-Antonyms, Idioms and Proverbs. Let us have a look at the table below to know the number of questions asked from each topic in the exam.

Topic No. of Questions No. of Marks
Spotting Errors 5 20
Comprehension 6 24
Selecting Words 10 40
Ordering of Words in a Sentence 9 36
Sentence Improvement 10 40
Antonyms 5 20
Synonyms 5 20
Total 50 200

UPSC NDA 2 Syllabus 2020: General Knowledge

The General Knowledge section will cover topics like current affairs, questions from Physics, Chemistry, General Science, Social Studies, Geography and Current Events. Go through the topic-wise important topics from the post below.

Physics Syllabus 2020

Here, we have provided the important topics asked in the Physics section of the General Ability Test.

Physical Properties and States of Matter Modes of transference of Heat
Mass Sound waves and their properties
Weight Simple musical instruments
Volume Rectilinear propagation of Light
Density and Specific Gravity Reflection and refraction
Principle of Archimedes Spherical mirrors and Lenses
Pressure Barometer Human Eye
Motion of objects Natural and Artificial Magnets
Velocity and Acceleration Properties of a Magnet
Newton’s Laws of Motion Earth as a Magnet
Force and Momentum Static and Current Electricity
Parallelogram of Forces Conductors and Non-conductors
Stability and Equilibrium of bodies Ohm’s Law
Gravitation Simple Electrical Circuits
Elementary ideas of work Heating, Lighting and Magnetic effects of Current
Power and Energy Measurement of Electrical Power
Effects of Heat Primary and Secondary Cells
Measurement of Temperature and Heat Use of X-Rays
General Principles in the working of the following: Simple Pendulum, Simple Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightning Conductors, Safety Fuses.

Chemistry Syllabus

The basic knowledge of Chemistry and various chemicals are tested in the chemistry section. Go through the table below to know the NDA Syllabus UPSC for chemistry.

Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon Dioxide, Oxidation and Reduction. Acids, bases and salts. Carbon— different forms Physical and Chemical Changes
Fertilizers—Natural and Artificial Elements
The material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches and Gunpowder Mixtures and Compounds
Elementary ideas about the structure of Atom Symbols, Formulae and simple Chemical Equation
Atomic Equivalent and Molecular Weights Law of Chemical Combination (excluding problems)
Valency Properties of Air and Water

General Science

The table below mentions the important topics that need to be prepared under the General science section.

Common Epidemics, their causes and prevention Difference between the living and non-living
Food—Source of Energy for man Basis of Life—Cells, Protoplasms and Tissues
Constituents of food Growth and Reproduction in Plants and Animals
Balanced Diet Elementary knowledge of Human Body and its important organs
The Solar System—Meteors and Comets, Eclipses. Achievements of Eminent Scientists  –


The table below includes the important topics asked from the history section in the General Ability Test.

Forces shaping the modern world; Renaissance A broad survey of Indian History, with emphasis on Culture and Civilisation
Exploration and Discovery; War of American Independence, French Revolution, Industrial Revolution and Russian Revolution Freedom Movement in India
Impact of Science and Technology on Society Elementary study of Indian Constitution and Administration
Concept of one World Elementary knowledge of Five Year Plans of India
United Nations, Panchsheel, Democracy, Socialism and Communism Panchayati Raj
Role of India in the present world Co-operatives and Community Development
A broad survey of Indian History, with emphasis on Culture and Civilisation Bhoodan, Sarvodaya, National Integration and Welfare State
Basic Teachings of Mahatma Gandhi


To score good marks in this section, candidates are advised to prepare the topics mentioned in the table below.

The Earth, its shape and size Ocean Currents and Tides Atmosphere and its composition
Latitudes and Longitudes Temperature and Atmospheric Pressure, Planetary Winds, Cyclones and Anticyclones; Humidity; Condensation and Precipitation
Concept of time Types of Climate
International Date Line Major Natural Regions of the World
Movements of Earth and their effects Regional Geography of India—Climate, Natural vegetation. Mineral and Power resources; location and distribution of agricultural and Industrial activities
Origin of Earth. Rocks and their classification Important Sea ports and main sea, land and air routes of India
Weathering—Mechanical and Chemical, Earthquakes and Volcanoes Main items of Imports and Exports of India

Current Affairs

Check the table below that mentions the important topics that need to be prepared under the current affairs section in the GAT.

Knowledge of Important events that have happened in India in recent years Prominent personalities—both Indian and International including those connected with cultural activities and sports
Current important world events

UPSC NDA 2 Syllabus: Topic-wise Distribution of GK Questions in General Ability Test

Candidates can check the table below to know the number of questions asked from each section in the General Ability Test.

Topic No. of Questions No. of Marks
Physics 23 92
Chemistry 16 64
General Science 11 44
History & Freedom Movement 16 64
Geography 17 68
Current Events 17 68
Total 100 400

UPSC NDA 2 Syllabus: Best Books

Preparing from the right UPSC NDA 2 Books would definitely help candidates to perform well in the exam. We have provided some of the important books referred by our experts. Refer the books tabulated below and prepare well for the NDA 2 exam.

Best Mathematics Books for UPSC NDA 2

Candidates can check the best books for the preparation of mathematics from the table below.

Book Name  Author/ Publisher
Mathematics for NDA and NA: National Defence Academy and Naval Academy R S Aggarwal
Quantitative aptitude for competitive examinations R S Aggarwal
Study Package MATHEMATICS NDA & NA Entrance Exam Arihant
NDA Mathematics (Hindi) RPH Editorial Board

Best GAT Books for UPSC NDA 2

Refer the following books and better prepare for the General Ability Test.

Book Name  Author/ Publisher
History Of Modern India (History) Bipan Chandra
Science and Technology in India (Science and Technology) Kalpana Rajaram: Spectrum
Oxford School Atlas (Geography) Oxford
Social Problems In India (Indian Society – GS1) Ram Ahuja
Objective General English for Competitive Exams S.P. Bakshi
Manorama Yearbook 2020 Mammen Mathew

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