NDA Sample Paper PDF Download free For Practice

**Download NDA Sample Paper PDF free For Practice**

Table of Contents

National Defence Academy (NDA) and Naval Academy (NA) which recruitment talented candidates every year for the Defence jobs in India. UPSC conducts an entrance exam twice a year and based on the performance in test candidates are shortlisted for the SSB interview. Well in this post we are providing you NDA NA Sample papers with solutions. Sample papers not only give idea about the exam but also build a confidence to face the examination. Every year most of the private organization release sample papers based on the NDA exam pattern.

UPSC NDA NA practice papers with answers PDF can be downloaded from the links given below; you might find them interesting and try to solve them. NDA Practice papers increases the response rate of any candidate in examination this is because you have already solved the question and you get in habit that is why

We suggest before solving the NDA sample papers do cover the course and topics related to NDA exam. This is because if you solve them before preparing most of them questions you face will not be solved and then you see answer and this will make you dependable on the answers.

As you all know till now that NDA exam is divided in two phases in first is mathematics which is entirely based on maths you studied before 11th class. So there is no need to worry about practice every day and it is more than enough. We have provided you the entire resource by which you can get more hold on NDA exam preparation

**Check More NDA Study Material Available Free Here**

- NDA preparation books 2023 (Latest) PDF Download Free
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- NDA Study Material | NDA Economics Notes pdf Download free
- NDA Study Material | NDA English Notes pdf Download free
- NDA Study Material | NDA Geography Notes pdf Download free
- NDA Study Material | NDA History Notes pdf Download free
- NDA Study Material | NDA Indian Polity Notes pdf Download free
- NDA Study Material | NDA Maths Notes pdf Download free
- NDA Study Material | NDA Physics notes pdf Download free
- NDA Study Material | NDA Static General Knowledge Notes pdf Download free
- NDA Study Material | NDA Physics notes pdf Download free
- NDA Study Material | NDA Static General Knowledge Notes pdf Download free
- NDA Study Material pdf Download free 2023
- NDA Syllabus 2023 | Topicwise Syllabus Pdf Download free – Hindi and English
- Pdf Arihant publication math book for NDA aspirants free download
- UPSC NDA 2022 Exam GAT Mock Test for Written Exam: Practice General Ability Test (GAT) GK & Current Affairs Mock Test with Answers

## NDA Syllabus 2023

Before start NDA preparation, it is very important to introduce yourself with the overall syllabus from where the questions will be raised.

The NDA Exam pattern comprises of Mathematics subject and General Ability. Below we have mentioned the detailed UPSC NDA Syllabus 2023.

**NDA mathematics syllabus** :-

**The topic-wise question distribution in Maths** :-

Topic | Questions |
---|---|

Calculus | 20-25 |

Quadratic equation | 20-15 |

Matrices & Determinants | 30 |

Probability | 10 |

Trigonometry | 30 |

Complex number | 10-15 |

The NDA Maths syllabus 2023 paper covers the following chapters and topics:-

**Trigonometry: **Trigonometrical ratios,properties of triangles, Angles and their measures in degrees and in radians, Inverse trigonometric functions, Trigonometric identities Sum and difference formulae, Applications – Height and distance, Multiple and Sub-multiple angles.

**Algebra:** Complex numbers – basic properties, modulus, Conversion of a number in decimal system to binary system and vice-versa, Arithmetic, argument, cube roots of unity, Geometric and Harmonic progressions, Solution of linear inequations of two variables by graphs, Representation of real numbers on a line, Binary system of numbers, Binomial theorem and its application, Quadratic equations with real coefficients, Permutation and Combination, Logarithms and their applications.

**Differential Calculus:** Composite functions, one to one, onto and inverse functions, geometrical and physical interpretation of a derivative – applications, increasing and decreasing functions, Continuity of functions – examples, algebraic operations on continuous functions, Application of derivatives in problems of maxima and minima, Concept of a real valued function – domain, range and graph of a function, Notion of limit, Standard limits – examples, geometrical and physical interpretation of a derivative – applications, Derivative of a 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 and Second order derivatives.

**Vector Algebra: **Vectors in two and three dimensions, scalar multiplication of vector, scalar product or dot product of two-vectors, Applications-work done by a force and moment of a force, and in geometrical problems, magnitude and direction of a vector, Unit and null vectors, addition of vectors, Vector product and cross product of two vectors.

**Integral Calculus and Differential equations: **Integration by substitution and by parts, trigonometric, Definition of order and degree of a differential equation, formation of a differential equation by examples, exponential and hyperbolic functions, solution of first order and first degree differential equations of various types – examples, standard integrals involving algebraic expressions, Evaluation of definite integrals – determination of areas of plane regions bounded by curves – applications, General and particular solution of a differential equation, Integration as inverse of differentiation, Application in problems of growth and decay.

**Matrices and Determinants: **Types of Matrices, Determinant of a matrix, adjoin and inverse of a square matrix, operations on matrices, Applications – Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method, basic properties of determinant.

**Analytical Geometry of two and three dimensions: **Distance formula, Equation of a circle in standard and in general form, Ellipse and hyperbola, Angle between two lines, Rectangular Cartesian Coordinate system, Equation of a line in various forms, Standard forms of parabola, Distance of a point from a line, Eccentricity and axis of a conic.

Point in a three-dimensional space, distance between two points, Equation of a plane and a line in various forms, Equation of a sphere, Direction Cosines and direction ratios, angle between two lines and angle between two planes.

**Statistics: **Frequency distribution, Classification of data, cumulative frequency distribution – examples Graphical representation – Histogram, Measures of Central tendency – mean, median and mode, Pie Chart, Frequency Polygon – examples, Variance and standard deviation – determination and comparison, Correlation and regression.

**Probability:** Outcomes and associated sample space, Binomial distribution, Random experiment, examples of random experiments giving rise to Binominal distribution, events, mutually exclusive and exhaustive events, Bayes’ theorem – simple problems, impossible and certain events, Complementary, elementary and composite events, Union and Intersection of events, Definition of probability – classical and statistical – examples, Conditional probability, Random variable as function on a sample space, Elementary theorems on probability – simple problems, Binomial distribution, examples of random experiments giving rise to Binominal distribution.

**NDA General Ability Syllabus 2023 :-**

The general ability section comprises of **two parts** which are mentioned below:

**Part – A**

**English:** The English syllabus covers the topics like vocabulary, Grammar and usage, comprehension and cohesion in extended text to test the candidate’s proficiency in English.

**Part – B**

**General Knowledge:** The question paper comprises of general knowledge and covers the subjects that include Physics, Chemistry, Social Studies, General Science, Geography and Current Events.

The question paper in English will be designed to test the candidate’s understanding of English. The syllabus covers various aspects like as given below:

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 |

#### General Knowledge

Check the topic-wise number of questions and marks distribution in the table below.

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 |

**Section A – Physics**

Motion of objects, Newton’s Laws of Motion, Force and Momentum, Parallelogram of Forces, Stability and Equilibrium of bodies, Gravitation, elementary ideas of work, Velocity and Acceleration, Power and Energy, Sound waves and their properties, Simple musical instruments, Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightening Conductors, Safety Fuses, Simple Pendulum.

Simple Pulleys, Physical Properties and States of Matter, Mass, Weight, Volume, Density and Specific Gravity, Principle of Archimedes, Pressure Barometer, Effects of Heat, change of State and Latent Heat, Modes of transference of Heat, Rectilinear propagation of Light, Reflection and refraction. Spherical mirrors and Lenses. Human Eye, Static and Current Electricity, Measurement of temperature and heat, conductors and Non-conductors, Ohm’s Law, Simple Electrical Circuits, Heating, Lighting and Magnetic effects of Current, Measurement of Electrical Power, Primary and Secondary Cells, Use of X-Rays.

**Section B – Chemistry**

Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon-Di-oxide, Oxidation and Reduction, Material used in the preparation of substances like soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and Gun-Powder, Carbon – different forms, Physical and Chemical changes. Symbols, Formulas and simple Chemical Equations, Law of Chemical Combination (excluding problems). Properties of Air and Water, Acids, bases and salts, Elements, Mixtures and Compounds, Fertilizers – Natural and Artificial, Elementary ideas about the Structure of Atom, Atomic, Equivalent and Molecular Weights, Valency.

**Section C – General Science**

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

**Section D – History**

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

**Section E – Geography**

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

**Section F – Current Events**

Current important world events, Knowledge of Important events that have happened in India in the recent years, prominent personalities – both Indian and International including those connected with cultural activities and sports.

It is not compulsory that the topics mentioned above will surely come in the examination. The question paper does not remain consistent, it changes every year. It may happen that the question paper will consists of the topic not discussed here.

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**Download NDA Sample Paper PDF free For Practice**

S. No. | Sample Papers | Download Links |

01. | Sample Question Paper 01 | DOWNLOAD PDF |

02. | Sample Question Paper 02 | DOWNLOAD PDF |

03. | Sample Question Paper 03 | DOWNLOAD PDF |

04. | Sample Question Paper 04 | DOWNLOAD PDF |

05. | Sample Question Paper 05 | DOWNLOAD PDF |

06. | Sample Question Paper 06 | DOWNLOAD PDF |

07. | Sample Question Paper 07 | DOWNLOAD PDF |

08. | Sample Question Paper 08 | DOWNLOAD PDF |

NOTE : – If you need anything else more like ebooks, video lectures, syllabus etc regarding your Preperation / Examination then do 📌 mention in the Comment Section below. |

## NDA 2023 Preparation Tips

**Schedule your Study Plan Smartly**

- For better preparation, it is necessary to have a smart study plan. Here, smart study plan means to manage your time and NDA 2023 syllabus efficiently. Your preparation schedule must be well-organized so that you are able to score good marks.

**Your Basics Should Be Clear**

- Firstly, do the analysis of your complete syllabus and mark the topics that require more concentration. Start preparing the topics from basics. If your basics are clear then only you are able to solve the high level questions. Clear you basics first then go through the exam pattern and syllabus.

**Focus on General Knowledge and English Subject**

- Proficiency in English is required for clearing the NDA examination. Your English is not only tested in written test but if there is fluency in your English, then it may leave the good impression on selectors also at the time of interview.
- As General Knowledge is the part of syllabus so prepare it well. You can strong your GK portion by reading newspapers, magazines, journals, refer books of prominent writers that focus on current affairs, etc.

**Study Material**

- Preparation from right books is very necessary. Market is full of large number of book stocks but every book is worth, not possible. After the complete analysis, we have prepared some NDA books that help you for scoring good marks.

**Solve Previous Year Question Papers**

- It is very important to do the preparation in right direction. By solving previous year questions, your speed will be enhanced as well as you will get the idea about the NDA exam pattern of the examination and difficulty level of the questions asked in the examination.

**Health Maintenance and Personality**

- Selection through NDA is based not only on the written test but your personality and health also plays a major role in it. It is advised to all the aspirants to keep you fit and healthy through the intake of sufficient food and water. Besides this, also prefer yoga or some another exercise or meditation to relief stress.

**Revision**

- Revision is a key to success. Candidates are advised to make short notes & revise them on regular basis. This will help candidates to remember it longer. On the other hand, keep atleast last one week before examination.
- Do not study unnecessary topics at the last time . This will make you forgot even what you have studied earlier. In the last week before examination, revise all the topics & subjects you have studied properly. This will make help you to score in the examination

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