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NDA Study Material 2025: Download Subject-wise NDA Notes PDF

NDA 2025 written exam consists of 2 sections - Mathematics and General Ability Test (GAT). Both papers will have Objective MCQ-Type Questions. You need to refer to good study material to prepare in the most effective way. A total of 270 questions will be asked for 900 marks- 120 questions for Maths and 150 questions for GAT. There is a negative marking of 1/3 marks for the incorrect answer. While choosing the study material you should have thorough knowledge of the NDA exam pattern and syllabus.

NDA study notes for both GAT and Mathematics papers have been provided in PDF files which can be downloaded as per the requirements. The notes provided here will also be helpful during the NDA last-minute preparation as well. Candidates also can start practising the NDA previous years papers along with the study notes.

English Notes

NDA English Study Material 2025

English Language holds a major share in the GAT paper of the NDA 2025 exam. About 50 questions are asked from the English Language in the GAT Paper on different topics and sub-topics such as Error Spotting, Vocabulary, Idioms and Phrases, etc. The most important topics are Vocabulary, Grammar Usage, and Sentence Arrangement. Around 12-14 questions can be expected from these sections. Each question has a weightage of 4 marks.

NDA English Topic NDA English Study Notes PDFs
Error Spotting Tips, Cut Solved Questions, and Sample Questions for Error Spotting
One Word Substitution Categories, Terms, Solved Questions and MCQs on One Word Substitution
Synonyms & Antonyms List and Quiz on Synonyms & Antonyms
Idioms & Phrases List of Important Idioms & Phrases with MCQs
Sentence Correction Rules and Practice Questions on Sentence Corrections
Active and Passive Voice Definition, Types, and Practice Questions on Active & Passive Voice
Direct and Indirect Speech Definition, Rules, and Practice Questions on Direct & Indirect Speech
Sentence Rearrangement Types, Correct Approach, Sample Question with MCQs on Sentence Rearrangement
Reading comprehension Types, How to Tackle, Sample Comprehension with Practice Questions on Reading Comprehension
Para Jumbles Concept, Types, Approach with Practice Questions on Para Jumbles
Cloze Test Tips, Practice Questions with Sample MCQs on Cloze Test
Fill in the Blanks Important Topics, Solved Question and MCQs on Fill in the Blanks
Paragraph Completion Approaches, Tips & Tricks, Sample MCQs for Paragraph Completion
Sentence Connectors Concept, Solved Questions and Practice Questions on Sentence Connectors
Miscellaneous (Grammar)- Verb Concept, Rules, with Solved Examples on Verb
Miscellaneous (Grammar)- Adjectives Concepts, Rules, with Solved Questions of Adjectives
Miscellaneous (Grammar)- Adverbs Definition, Rules, with Examples on Adverbs
Miscellaneous (Grammar)- Articles Notions, Types, Rules with Solved Questions on Articles
Miscellaneous (Grammar)- Conjunctions Types, Rules, Concepts with Examples on Conjunctions
Miscellaneous (Grammar)- Noun Concept, Types, Important Point with Examples on Noun
Miscellaneous (Grammar)- Preposition Uses of Preposition, Rules, Solved Question with Practice Questions
Miscellaneous (Grammar)- Pronoun Types and Examples with Practice Questions on Pronoun
Mathematics Notes

NDA Maths Study Material 2025

In the NDA syllabus, Mathematics occupies a major share of the total weightage of the exam. There are 300 marks out of a total of 900 marks. A total of 120 questions in one paper are asked from the NDA Maths section only. Questions are generally based on the 10+2 standard Maths topics such as Algebraic Equations, Number Systems, Differentiation etc. As per the last few years of question paper analysis, this section had a higher level of difficulty than other sections. Topics such as Set Theory, Relations and Functions, Trigonometry, Geometry, Quadratic Equations and Inequality are crucial. There are around 11-13 questions that can be expected from these topics, whereas approx 8-9 questions are asked from Probability, Calculus, and Vector Algebra.

NDA Mathematics Topic NDA Mathematics Study Notes PDF
Algebric Equations Linear, Quadratic and Cubic Equations
Angle Between Two Planes How to Calculate, Calculation of Angle Between Two plane in the Cartesian Plane
Application Of Derivatives Rate of Change of a Quantity, Increasing and Decreasing Functions, Tangent and Normal to a Curve
Area Under Curve How to Determine the Area Under the Curve?
Arithmetic Progression Meaning, Concepts, Exercise
Bayes’ Theorem Meaning, Concepts, Bayes Theorem Proof, Bayes Theorem Formula
Binomial Distribution Binomial Probability Distribution, Formula, Mean & Variance
Binomial Theorems Meaning, Concepts, Binomial Theorem if n is negative or fractional
Cartesian Product Cartesian Product of Sets, Ordered Pairs & Relatinal Algebra
Conditional Probability Marginal, Joint Probability Formula
Continuity and Differentiability Differentiability Formula
Continuity and Discontinuity Discontinuity Definition, Types of Discontinuity
Conic Section Focus, Eccentricity and Directrix of Conic
De Morgan Law Complement of Sets Properties, De Morgan’s Laws Statement and Proof
Definite Integrals Definite Integral as Limit of Sum, Properties of Definite Integrals Proofs
Differential Equations Classification of Differential Equations, Differential Equations – Based on Homogeneity
Differentiation What is Differentiation?, Differentiation Formulas & Derivative of Function as Limits
Direction Cosines and Direction Ratios Direction Cosines
Distance Between Two Points Distance Between Point and Line Derivation, Distance Between Two Parallel Lines
Distance Between Two Points What are the Coordinates of a point?, Distance Between Two Points – Using Pythagoras Theorem
Equation in a Circle Equation of a Circle When the Centre is not an Origin, Equation of a Circle in General Form
The equation in a Line General Equation of a Line, Slope-intercept Form & Intercept Form
Equation in a Plane Equation of a Plane in the Normal and Cartesian Form
Equation of Sphere Meaning, Concepts, Volume of a Sphere Equation, Surface Area of a Sphere Equation
Events in Probability Events in Probability, Occurrence of an Event & Types of Events in Probability
Indefinite Integrals Indefinite Integrals Definition, Indefinite Properties & Indefinite Integral Formulas
Integration Integration – Inverse Process of Differentiation, Integrals in Maths & Integration Formulas
Introduction to Coordinate Geometry Types of Coordinates in Analytical Geometry & Equation of a Line in Cartesian Plane
Inverse Trigonometric Functions Concepts, Inverse Trigonometric Functions Graphs/Table
Limits and Continuity Meaning, Concepts, Types of Discontinuity
Limits and Derivatives Concepts, Derivatives of a Function, Solved Examples
Logarithms Concepts, Types, Rules & Properties
Matrices and Determinants Meaning, Types, Algebra Of Matrix
Maxima and Minima Meaning, Concepts, Various Possibilities of Derivatives of a Function
Methods of Integration Integration by Substitution, Integration By Parts, Integration Using Trigonometric Identities
Multiplication Rule of Probability Multiplication Rule of Probability Statement and proof
Number System Types, Integers, Fraction, Decimal, Divisibility Test
Permutation and Combination Meaning, Concepts, Permutation vs Combination
Probability and Statistics - Introduction Meaning, Terms Used, Formulas
Probability Distribution Concepts, Types, Formulas, Probability Distribution Function
Sets and Venn Diagrams Meaning, Concepts, Diagram, Symbols
Simplification Addition, Subtraction, Multiplication, Square & Square Roots
Tangents and Normals Tangents and Normals Equations, Solved Examples
Total Probability Theorem Law of Total Probability, Theorem Statement, Theorem Proof
Vector Algebra Operations Addition, Subtraction, Multiplication & Vector Algebra Formulas
Vectors Meaning, Types, Magnitude of a Vector, Direction of a vector, Components of a Vector

You can download the study notes and materials for the NDA Exam 2025 free of cost here by clicking on the links provided in the tables. These notes will help you to easily understand and remember the topics.

Chemistry Notes

NDA Chemistry Study Material 2025

The questions in the NDA Chemistry section can be asked from the Chemistry Subject up to the level of Class 12th. The majority of the NDA questions are asked from the basics of Chemistry such as IUPAC Nomenclature of Chemicals, Various Chemical Reactions and their Products, Analytical Chemistry, and Organic Chemistry.

NDA Chemistry Topics NDA Chemistry Study Material PDFs
Physical and Chemical Changes Definition, Example, Uses of Physical & Chemical Changes
Air and Water (Properties) Chemical Composition, Properties of Air & Water
Chemical Equations and Laws of Chemical Combination Chemical Equations and Laws of Chemical Combination
Elements, Compounds, and Mixtures Elements, Compounds, and Mixtures
Acids, Bases, and Salts Acids, Bases, and Salts
Properties of Oxygen, Hydrogen, etc. with Oxidation and Reduction Properties of Oxygen, Hydrogen, etc. with Oxidation and Reduction
Carbon and its Forms Carbon and its Forms
Atom and its Structure (details) Atom and its Structure (details)
Fertilizers Classification, Types of Fertilizers
Use of Materials for the Preparation of Different Chemicals Coming Soon
Physics Notes

NDA Physics Study Material 2025

Physics, being one of the important science subjects, forms a major part of the science section in the NDA syllabus. The numerical questions in the NDA Physics part can be tricky ones. Concept and logic-based questions are mainly asked in the numerical part. Therefore it is essential to go through the basic concepts and applicable formulas in Physics to score healthy marks in the exam. It is advisable to prefer NCERT Physics Textbooks up to 12th standards for the basic concepts.

NDA Physics Topics NDA Physics Study Materials PDFs
Physical Properties and States of Matter Physical Properties and States of Matter
Modes of Transference of Heat, Heating, Lighting and Magnetic Effects of Current Coming Soon
Mass, Weight, Volume, Sound Waves and their Properties Mass, Weight, Volume, Sound waves and their properties
Simple Musical Instruments Production of Sound, Sound Waves, Types of Instruments
Rectilinear propagation of Light Rectilinear propagation of Light
Density and Specific Gravity Difference between Density and Specific Gravity
Reflection and Refraction Coming Soon
Principle of Archimedes Coming Soon
Pressure Barometer Coming Soon
Human Eye Human Eye
Motion of objects, Newton’s Laws of Motion Motion of objects, Newton’s Laws of Motion
Velocity and Acceleration Velocity and Acceleration
Natural and Artificial Magnets, Newton’s Laws of Motion and Gravitation Poles, Magnetic Field, Properties & Types of Magnet
Force and Momentum Force and Momentum
Static and Current Electricity, Power and Energy Static and Current Electricity, Power and Energy
Conductors and Non-conductors Meaning, Applications of Conductors, Examples of Insulators, Difference between Conductors & Insulators
Simple Electrical Circuits Kirchoff’s Law, Electric Cell, Solved Examples
Elementary Ideas of work Elementary ideas of work, power and energy
Stability and Equilibrium of bodies and Ohm’s Law Stability and Equilibrium of bodies and Ohm’s Law
Primary and Secondary Cells Meaning of Primary and Secondary Cells, Difference between Primary and Secondary Cells
Use of X-Rays Electromagnetic Spectrum: X-rays, Property, Type, Uses of X-rays
General Principles in the working of Simple Pendulum, Simple Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscopes, Mariner’s Compass; Lightning Conductors, Safety Fuses Simple Pulley, Types of Pulleys
Geography Notes

NDA Geography Study Material 2025

Geography is one of the most important sub-sections of the General Awareness part of the UPSC NDA Exam. Questions can be asked on the topics and facts related to national as well as World Geography. It may include sub-topics such as Environmental Geography, Biogeography, Important Rivers etc.

NDA Geography Topics NDA Geography Study Material PDFs
Earth and its Origin and Movement (latitudes and longitudes) Earth and its Origin and Movement
Rocks and its Classification Rocks and Its classification
Types of Climate Types of Climate
Agricultural and Industries Agricultural and Industries
Imports and Exports of India International Trade of India, Top Export & Import Commodities and Services
Tides and Oceanic Currents Meaning, Impact, Types, Characteristics of Tides
The atmosphere and Atmospheric Pressure The atmosphere and Atmospheric Pressure
Regional Geography of India Regional Geography of India
Transportation and Trading routes of India Transportation and Trading routes of India

NDA History Study Material 2025

In NDA Exam, questions can be asked about the historical topics under the General Awareness section. Questions related to modern history as well as Ancient History. The majority of the questions are asked from Indian History, however, questions can be asked from important worldwide historical events such as World War, Civil War, etc.

NDA History Topics NDA History Study Notes PDFs
Indian History: Culture and Civilisation Indian History: Culture and Civilisation
Constitution and Administration of India Constitution and Administration of India
Nationalism in India Khilafat and Non-Cooperation, Satyagraha, The Rawlatt Act, Jallianwala Bagh Massacre, Civil Disobedience Movement
Government of India at various levels Coming Soon
Five Year plans of India Five Year plans of India
Renaissance and Discovery Introduction, Renaissance in Italy, Revival of Classical Literature, Renaissance Literature, Art & Sculpture
French, Russian, and Industrial Revolution Causes, Stages, Significance of French Revolution, Russian & Industrial Revolution
United Nations and the Concept of one world History & Components of United Nations
Democracy in India Introduction, Philosophical basis & Idea of Democracy
Teachings of Mahatma Gandhi Coming Soon

NDA Indian Polity Study Material 2025

The candidates aspiring for the NDA Exam 2025 must have basic knowledge about the Indian Polity as some questions are asked from the topics such as the Constitution of India, Preamble of India, Fundamental Rights, Political Hierarchy, etc.

NDA Polity Topic NDA Polity Study Notes PDFs
Important Articles of the Constitution Important Articles of the Constitution
Features of Constitution Features of Constitution
Making of Indian Constitution Making of Indian Constitution
The Indian Constitution - Preamble The Indian Constitution - Preamble
Indian Constitution- Union and its Territories Indian Constitution- Union and its Territories
Fundamental Rights & Duties Fundamental Rights & Duties
Directive Principles & State Policies (DPSP) Directive Principles & State Policies (DPSP)
Indian Constitution: President of India Indian Constitution: President of India
Indian Constitution: Vice President of India Indian Constitution: Vice President of India
Indian Constitution: Parliament Indian Constitution: Parliament
Judiciary System of India Judiciary System of India
Constitutional Bodies Constitutional Bodies
Non-Constitutional Bodies Non-Constitutional Bodies
Important Notes on Lok Sabha Important Notes on Lok Sabha
Indian Constitution: Chief Minister & Council of Ministers Details about Chief Ministers; Organization & Composition of State Legislature
Indian Constitution: Governor Indian Constitution: Governor

NDA Economics Study Material 2025

As per the last years’ NDA Exam Papers, questions are often asked from the topics of economics such as World and Indian Economics, Economic Reforms and Various Policies, Information about Various Economic Organizations etc.

NDA Economy Topics NDA Economy Study Notes PDFs
Five Year Plans of India Five Year plans of India
Union Budget of India Union Budget, Revenue Receipts, Budget Terms & Definitions
Highlights of Union Budget - 2020-21 Coming Soon
Economic Survey: Important Points Key Highlights of Economic Survey 2020-21
Static GK Notes

NDA Static GK Study Material 2025

Static General Knowledge (GK) is a broad section covering various sub-topics such as Monuments, Sanctuaries and National Parks, Culture and Heritage of India, etc. We have provided here a list of study notes for the static GK part that will help you during the exam.

NDA Static GK Topics NDA Static GK Study Notes PDF
Static GK: Firsts in India Static GK: Firsts in India
Static GK: Largest, Smallest, Tallest, Highest in India Static GK: Largest, Smallest, Tallest, Highest in India
International Organisations Notes International Organisations Notes
List of Important Days & Dates List of Important Days & Dates
List of Important Days & Dates List of Important Days & Dates
List of Stadiums in India Coming Soon

Best Books for NDA 2025 Preparation

Books Authors/ Publishers
Objective General English SP Bakshi
High School English Grammar and Composition Wren and Martin
Word Power Made Easy Norman and Lewis
Objective GK Sanjiv Kumar
Indian Polity Laxmikant
NCERT Books (Class 11-12) NCERT
Manorama Yearbook Manorama
Quantitative Aptitude for Competitive Examinations RS Aggarwal
NDA Entrance Exam ES Ramasamy
Mathematics for NDA/ NA RS Aggarwal

NDA Preparation Tips 2025

  • Mathematics- For this section, having a clear basic is very important along with proper time management.
  • English- Grammar rules are necessary. You should inculcate a daily habit of reading newspapers and magazines to improve your vocabulary.
  • General Knowledge and Current Affairs- You must follow the latest updates and be aware of events in sports, arts, literature, etc.
  • Physics- The syllabus for this section is huge so extra focus is required for maximum weightage such as Force, Mass, Momentum,and Ohm’s Law. You must also make notes of formulae and definitions.
  • Chemistry- Revise Chemical Reactions on a regular basis and solve previous year questions to practice important topics.
  • Biology- You can revise your high school syllabus and make notes on the same to cover this section efficiently.

After appearing in the NDA written test, candidates who meet the NDA Cutoff, will be called for the SSB Interview round. The round comprises of two separate tests – the Psychological Aptitude Test and Intelligence Test. After the Medical Test, the authorities release the list of selected candidates.

NDA FAQs

NDA Study Material 2025 FAQs

Ques. Can I download the UPSC NDA Exam Notes free of cost?

Ans. Yes, the study notes and materials provided here are free of cost and anyone can download them. You can also download previous year question papers and answer keys.

Ques. What are the minimum qualifying marks in the NDA Exam?

Ans. Candidates have to score a minimum of 25% marks in each of the subjects of the NDA Exam to qualify. However, the candidates are shortlisted for further rounds of examinations based on Merit List and candidates have to clear the minimum cutoff marks.

Ques. What kind of questions are asked in the UPSC NDA Exam?

Ans. The Preliminary exam paper of NDA Exam consists of objective-type questions (Multiple Choice Questions). The candidates have to select the correct answer to the question out of the options provided.

Ques. What is the NDA Exam 2025 expected Cutoff?

Ans. UPSC NDA Exam Cutoff marks depend on various factors such as the number of candidates, level of exam, and total available seats. However, one can anticipate a healthy minimum qualifying marks ranging between 340 to 360 marks out of 900 marks for the UPSC NDA Exam as per previous years’ cutoff marks.

Ques. Can I prepare for JEE and NDA simultaneously?

Ans. Yes, you can prepare for the JEE and NDA Exam simultaneously. Both of their syllabi are somewhat identical. However, you need to prepare additionally for the topics such as English and General Awareness for the NDA exam.

*The article might have information for the previous academic years, please refer the official website of the exam.
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