1. Comprehensive coverage: NCERT textbooks cover a wide range of topics and themes related to Indian history, from ancient to modern times. They provide a comprehensive overview of Indian history, which is essential for UPSC exam preparation.
2. Clarity and simplicity: NCERT textbooks are written in clear and simple language, which makes it easier for students to understand complex historical events and concepts. This is especially helpful for those who are new to the subject of history.
3. Authenticity and reliability: NCERT textbooks are written by experts and are based on authentic historical sources. They are considered to be reliable and accurate sources of information, which is important for UPSC exam preparation.
4. Foundation building: NCERT history textbooks provide a solid foundation for further reading and research. They help students develop a deep understanding of historical events and their significance, which is essential for answering UPSC exam questions.
5. Focus on key concepts and themes: NCERT history textbooks focus on key concepts and themes that are important for understanding Indian history. This helps students identify important areas to focus on for UPSC exam preparation.

Overall, NCERT History MCQ for UPSC are an important resource for UPSC exam preparation. However, they should be used in conjunction with other books and materials, as well as current events and developments, to provide a well-rounded understanding of Indian history and its relevance to the present day.

NCERT History MCQ for UPSC

NCERT History MCQ for UPSC : Here are some examples of NCERT History MCQ for UPSC that may be useful for UPSC UPPSC, RPSC and Other Competitive preparation:

Who among the following was the first emperor of the Maurya dynasty?

• a. Bindusara
• b.Chandragupta Maurya
• c. Ashoka
• d. Samudragupta

Answer: b. Chandragupta Maurya

Which of the following rivers is not part of the Indus river system?

• a. Sutlej
• b. Jhelum
• c. Yamuna
• d. Chenab

Answer: c. Yamuna

The Vedic period is divided into how many parts?

• a. One
• b. Two
• c. Three
• d. Four

Answer: c. Three

Which of the following was not one of the major religions that originated in India?

• a. Hinduism
• b. Jainism
• c. Buddhism
• d. Christianity

Answer: d. Christianity

Who among the following was the first Indian ruler to issue coins with his own image?

• a. Chandragupta Maurya
• b. Ashoka
• c. Harsha
• d. Samudragupta

Answer: a. Chandragupta Maurya

Who among the following is considered the founder of Buddhism?

• a. Mahavira
• b. Gautama Buddha
• c. Adi Shankara
• d. Ramanuja

Answer: b. Gautama Buddha

Which of the following is not one of the Vedas?

• a. Rigveda
• b. Yajurveda
• c. Samaveda
• d. Atharvaveda

Answer: d. Atharvaveda

Who among the following was the author of the Arthashastra?

• a. Kautilya
• b. Ashoka
• c. Harsha
• d. Samudragupta

Answer: a. Kautilya

Who among the following was the last ruler of the Maurya dynasty?

• a. Bindusara
• b. Chandragupta Maurya
• c. Ashoka
• d. Brihadratha

Answer: d. Brihadratha

Which of the following is not one of the Four Noble Truths of Buddhism?

• a. All life is suffering.
• b. The cause of suffering is desire.
• c. The end of suffering is possible.
• d. The self is eternal and unchanging.

Answer: d. The self is eternal and unchanging.

Who among the following was the founder of the Gupta dynasty?

• a. Samudragupta
• b. Chandragupta II
• c. Skandagupta
• d. Kumaragupta I

Answer: b. Chandragupta II

Who among the following was the first ruler to issue gold coins in India?

• a. Samudragupta
• b. Chandragupta II
• c. Skandagupta
• d. Kumaragupta I

Answer: a. Samudragupta

The Harappan civilization was spread over which of the following present-day countries?

• a. India and Nepal
• b. India and Pakistan
• c. India and Bangladesh
• d. India and Sri Lanka

Answer: b. India and Pakistan

Which of the following is the oldest Veda?

• a. Rigveda
• b. Yajurveda
• c. Samaveda
• d. Atharvaveda

Answer: a. Rigveda

UPSC Previous Year Question Paper Download 

Important NCERT History One Liner for UPSC

NCERT History MCQ for UPSC:Here are 100 one-liners on history from NCERT that may be useful for UPSC preparation:

1. The Indus Valley Civilization was one of the earliest urban civilizations in the world.
2. The Aryans were a nomadic pastoral community that migrated to India around 1500 BCE.
3. The Maurya dynasty was founded by Chandragupta Maurya in 321 BCE.
4. Ashoka was one of the greatest rulers of the Maurya dynasty.
5. The Gupta dynasty is known for its cultural achievements and the Golden Age of India.
6. The Delhi Sultanate was established by Muslim invaders in the 13th century.
7. The Vijayanagara Empire was founded in the 14th century in South India.
8. The Mughal Empire was established by Babur in 1526.
9. Akbar was one of the greatest rulers of the Mughal Empire.
10. The Maratha Empire was founded by Shivaji in the 17th century.
11. The British East India Company established its first trading post in India in Surat in 1608.
12. The Battle of Plassey in 1757 marked the beginning of British rule in India.
13. The Indian National Congress was founded in 1885.
14. Gandhi led the Indian freedom struggle through non-violent civil disobedience.
15. India gained independence from British rule in 1947.
16. The Constitution of India was adopted in 1950.
17. The Green Revolution in the 1960s led to a significant increase in agricultural productivity.
18. The Emergency was declared in India from 1975 to 1977.
19. Rajiv Gandhi was assassinated in 1991.
20. The liberalization of the Indian economy began in 1991.
21. India conducted its first nuclear test in 1974.
22. The Kargil War between India and Pakistan was fought in 1999.
23. The National Rural Employment Guarantee Act was passed in 2005.
24. The Right to Information Act was passed in 2005.
25. The Goods and Services Tax was implemented in 2017.
26. The Ayushman Bharat scheme was launched in 2018.
27. The Citizenship Amendment Act was passed in 2019.
28. The abrogation of Article 370 in Jammu and Kashmir took place in 2019.
29. The Citizenship Amendment Act sparked protests across the country in 2019-2020.
30. The COVID-19 pandemic had a significant impact on India in 2020.
31. The Farm Bills passed in 2020 led to widespread protests by farmers.
32. The Indian government banned several Chinese apps in 2020.
33. India-China tensions escalated in 2020.
34. The Indian economy contracted in 2020 due to the COVID-19 pandemic.
35. The National Education Policy was approved in 2020.
36. The Indian government launched the Atmanirbhar Bharat Abhiyan in 2020.
37. India conducted a successful test of the BrahMos missile in 2020.
38. The India-China border standoff continued in 2021.
39. India launched its COVID-19 vaccination drive in 2021.
40. The Indian government passed the controversial Farm Laws in 2021.
41. The Indian government approved a plan to build a new parliament building in 2021.
42. India launched a massive infrastructure development plan called the National Infrastructure Pipeline in 2021.
43. India approved a new drone policy in 2021.
44. India celebrated the 75th anniversary of its independence in 2021.
45. The Revolt of 1857 was a significant event in Indian history that marked the beginning of the Indian independence movement.
46. The Indian National Congress was formed in 1885 with the aim of achieving self-government for India.
47. The partition of Bengal in 1905 was a major political event that sparked protests and boycotts.
48. Mahatma Gandhi was the leader of the Indian independence movement and a champion of non-violent civil disobedience.
49. The Non-Cooperation Movement launched by Gandhi in 1920 was a significant step towards India’s independence.
50. The Salt March in 1930 was a major civil disobedience campaign against British salt taxes.
51. The Quit India Movement launched by Gandhi in 1942 was a powerful mass movement for India’s independence.
52. The Indian National Army (INA) was formed by Subhash Chandra Bose during World War II to fight for India’s independence.
53. The partition of India in 1947 led to the creation of India and Pakistan and was accompanied by large-scale violence and displacement.
54. The Indian Constitution was adopted in 1950 and is the supreme law of the land.
55. The Green Revolution was a significant period of agricultural development in India in the 1960s and 1970s.
56. The Emergency declared by Prime Minister Indira Gandhi in 1975 was a period of authoritarian rule and repression.
57. The assassination of Prime Minister Indira Gandhi in 1984 led to widespread riots and violence.
58. The liberalization of the Indian economy in 1991 marked a significant shift towards market-oriented policies.
59. The Kargil War in 1999 was a conflict between India and Pakistan over the disputed region of Kashmir.
60. The Right to Information Act passed in 2005 was a significant step towards transparency and accountability in government.

<p>The post NCERT History MCQ for UPSC, UPPSC, RPSC and Other Competitive Exams first appeared on EXAMSAGA.</p>

UPSC IAS Mains 2018 Exam Question Paper

General Subjects:

• UPSC IAS Mains Essay 2018 Paper

General Studies:

• UPSC IAS Mains 2018 GS Paper 1 Exam Question Paper
• UPSC IAS Mains 2018 GS Paper 2 Exam Question Paper
• UPSC IAS Mains 2018 GS Paper 3 Exam Question Paper
• UPSC IAS Mains 2018 GS Paper 4 Exam Question Paper

Compulsory Subjects:

• English
• Assamese
• Bengali
• Bodo
• Dogri
• Gujarati
• Hindi
• Kannada
• Malayalam
• Marathi
• Nepali
• Oriya
• Punjabi
• Sindhi (Devnagari)
• Sanskrit
• Tamil
• Telugu
• Urdu

Optional Subjects:

• Agriculture
• Animal Husbandry & Veterinary Science
• Anthropology
• Botany
• Chemistry
• Civil Engineering
• Commerce and Accountancy
• Economics
• Electrical Engineering
• Geography
• Geology
• History
• Law
• Management
• Mathematics
• Mechanical Engineering
• Medical Science
• Philosophy
• Physics
• Political Science & International Relations
• Psychology
• Public Administration
• Sociology
• Statistics
• Zoology

Literature Optional Subjects

• Assamese
• Bengali
• English
• Gujarati
• Hindi
• Kannada
• Maithili
• Malayalam
• Manipuri
• Marathi
• Odia
• Punjabi
• Sanskrit
• Sindhi (Devanagari)
• Tamil
• Telugu
• Urdu

<p>The post UPSC IAS Mains 2018 Exam Question Paper first appeared on EXAMSAGA.</p>

Download UPSC Prelim 2018 Exam Question Paper in English

• Exam Name: UPSC IAS Civil Services Prelims 2018
• Subject: General Studies (GS) Paper -1 & CSAT
• Year: 2018
• Medium: English
• Exam Date: 03-06-2018
• Test Booklet Series: A

Download UPSC Prelim 2018 Exam Question Paper in Hindi

Exam Name: UPSC IAS Civil Services Prelims 2018
Subject: General Studies (GS) Paper -1 & CSAT
Year: 2018
Medium: Hindi
Exam Date: 03-06-2018
Test Booklet Series: A

<p>The post UPSC IAS Civil Services (Prelim) 2018 Exam Paper Held on 3rd June 2018 first appeared on EXAMSAGA.</p>

Download UPSC Prelim 2020 Exam Question Paper in English

• Exam Name: UPSC IAS Civil Services Prelims 2020
• Subject: General Studies (GS) Paper -1 & CSAT
• Year: 2020
• Medium: English
• Exam Date: 04-10-2020
• Test Booklet Series: B

Download UPSC Prelim 2020 Exam Question Paper in Hindi

Exam Name: UPSC IAS Civil Services Prelims 2020
Subject: General Studies (GS) Paper -1 & CSAT
Year: 2020
Medium: Hindi
Exam Date: 04-10-2021
Test Booklet Series: B

<p>The post UPSC IAS, Civil Services (Prelim) 2020 Exam Question Paper held on 4th October 2020 first appeared on EXAMSAGA.</p>

Download UPSC Prelim 2021 Exam Question Paper in English

• Exam Name: UPSC IAS Civil Services Prelims 2021
• Subject: General Studies (GS) Paper -1 & CSAT
• Year: 2021
• Medium: English
• Exam Date: 10-10-2021
• Test Booklet Series: B

Download UPSC Prelim 2021 Exam Question Paper in Hindi

Exam Name: UPSC IAS Civil Services Prelims 2021
Subject: General Studies (GS) Paper -1 & CSAT
Year: 2021
Medium: Hindi
Exam Date: 10-10-2021
Test Booklet Series: B

<p>The post UPSC IAS, Civil Services (Prelims) 2021 Exam Question Paper held on 10th October 2021 first appeared on EXAMSAGA.</p>

Download UPSC Prelim 2022 Exam Question Paper in English

• Exam Name: UPSC IAS Civil Services Prelims 2022
• Subject: General Studies (GS) Paper -1 & CSAT
• Year: 2022
• Medium: English
• Exam Date: 05-06-2022
• Test Booklet Series: A

Download UPSC Prelim 2022 Exam Question Paper in Hindi

• Exam Name: UPSC IAS Civil Services Prelims 2022
• Subject: General Studies (GS) Paper -1 & CSAT
• Year: 2022
• Medium: Hindi
• Exam Date: 05-06-2022
• Test Booklet Series: A

<p>The post UPSC IAS Civil Services (Prelims) 2022 Exam Question Paper “held on 5th June 2022”  first appeared on EXAMSAGA.</p>

The Union Public Service Commission (UPSC) is the agency which conducts the Civil Services Exams in India. The Civil Services Exam is the most difficult exam in India and a serious contender for the most difficult exam in the world. The exams are conducted in three stages – the preliminary exam, the main exam and the interview. The final result is announced in three months and the success rate is only 1.5-2%. The exams are conducted in three languages – English, Hindi and the regional language of the candidate.

UPSC previous year question paper provides you a good solution of the preparation of UPSC exam. These previous year’s question papers are prepared by the expert team of Peppertype.ai based on the previous years question papers. The questions are framed in a way to provide you a real-life like environment while you are practicing for the exam.

UPSC Previous Year Question Paper Download

The Union Public Service Commission (UPSC) is a constitutional body that is responsible for recruiting civil servants in India. The UPSC conducts a highly competitive examination called the Civil Services Examination (CSE) every year to select officers for the Indian Administrative Service (IAS), Indian Police Service (IPS), and other Central government services.

The CSE is considered one of the toughest examinations in the world, with a success rate of less than 1%. Aspirants who clear the examination are appointed as officers in the various Central government departments and ministries.

The UPSC releases the previous year’s question paper for the CSE on its official website. The question paper is a valuable resource for aspirants preparing for the examination as it gives them an insight into the type of questions that are asked in the examination.

The UPSC Previous Year Question Paper is a useful tool for aspirants preparing for the Civil Services Examination. It gives them an insight into the type of questions that are asked in the examination. The question paper is available on the UPSC website.

UPSC Exam Pattern

The Union Public Service Commission conducts a Civil Services Examination in India. The Indian civil services examination is held annually in three phases:

1. the preliminary examination
2. main examination
3.  and interview.

The Civil Services Examination is conducted in three phases: preliminary examination, main examination, and interview. The UPSC conducts a written examination in nine phases (1 to 9), which is held all over India in fixed test centres.

The first three phases of the examination are conducted in three successive months-the the first phase in the month of October, the second phase in November and the third phase in December. The first three phases contain two papers each.

The fourth phase consists of one paper which is held in the month of January. The fifth phase consists of one paper which is held in the month of February and the sixth phase consists of one paper which is held in the month of March. The seventh phase consists of one paper in the month of April, the eighth phase consists of one paper in the month of May and the ninth phase consists of one paper in the month of June.

UPSC Prelims Exam Pattern

UPSC Mains Exam Pattern

UPSC Question Paper Download Prelims 2022

The Union Public Service Commission (UPSC) is expected to release the Question Paper for the Prelims 2022 examination soon. Candidates who are preparing for the exam can download the Question Paper from the official website of the Commission. The Question Paper will be available in both English and Hindi language. Candidates can use the Question Paper to get an idea about the exam pattern and the type of questions that will be asked in the examination.

UPSC Question Paper Download Prelims 2021

UPSC Question Paper Download Prelims 2021 : The Union Public Service Commission (UPSC) has released the Preliminary Examination Question Paper for the year 2021. Candidates who are appearing for the examination can download the Question Paper from the official website of UPSC. The question paper is available in PDF format. The candidates should visit the official website of UPSC Prelims and click on the link to download the Question Paper. The UPSC conducts the Preliminary examination for candidates who want to appear in the Civil Services Examination.

How to download UPSC Previous Year Question Paper

The first step is to go to the official website of the UPSC. Once you are on the website, look for the link that says ‘Previous Year Question Papers. Click on that link and you will be redirected to a page where all the previous year’s question papers are available for download.

Pick the year for which you want the question paper. Once you click on the year, a PDF file will open which contains all the questions that were asked in that particular year. You can either download the PDF file or take a printout of it for future reference.

We had also provided the links of various previous years’ question papers for UPSC from 2013 to 2019, you can click the below links to download the paper !!!!

UPSC IAS 2013-2019 Previous Year Question Paper Download

Is UPSC Previous Year Question Paper difficult to solve?

There is no one-size-fits-all answer to this question, as the difficulty of the UPSC Previous Year Question Paper depends on a variety of factors, including the student’s level of preparedness and the specific content of the paper. However, in general, the UPSC Previous Year Question Paper is considered to be a relatively difficult exam, and students are advised to give themselves ample time to prepare for it.

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We hope you enjoyed reading our article about the UPSC Previous Year Paper. The most important thing is to be prepared for the exam. We always stress the importance of being prepared and the need to know how to study for the exam. We hope you were able to get some useful information from our article and wish you the best of luck with the exam!

Also Read;

Indian History Gk Important Questions & Answer

Indian Geography Objective Question

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Additionally, we will share some useful tips and strategies to help you crack the exam with ease. By following these guidelines and preparing thoroughly, you can improve your chances of success and achieve your dream of joining the Army, Navy, or Air Force wings of the NDA.

UPSC NDA Previous Year Question Paper

The UPSC NDA (National Defence Academy) exam is a highly coveted competitive exam in India, conducted twice a year by the Union Public Service Commission (UPSC). This exam aims to select eligible candidates for admission to the Army, Navy, and Air Force wings of the NDA. The UPSC NDA exam has a rigorous selection process, and candidates must prepare thoroughly to clear this exam.

Union Public Service Commission UPSC conducts recruitment for the post of National Defence Academy NDA and Naval Academy NA twice a year. Those candidates who want to serve the country in NDA/NA must apply for this exam UPSC NDA/NA 2023. You can easily qualify for this exam if you have proper guidance. With proper practice of UPSC NDA Previous Year Question Papers and Some sample papers, you can boost your preparation and get confident to crack the examination.

To prepare for the UPSC NDA exam, one of the best ways is to practice the previous year’s question papers. Practising previous year’s question papers helps candidates to understand the exam pattern, types of questions asked, and difficulty level. It also helps in identifying areas of weakness and working on them to improve performance.

 

UPSC NDA Previous Year Question Paper Overview

Here’s a table with an overview of the UPSC NDA exam:

UPSC NDA Exam Pattern 

Scheme Of UPSC NDA written Examination

• The papers in all the subjects will consist of objective-type questions only. the question papers (test booklets) of mathematics and part “b” of the general ability test will be set bilingually in Hindi as well as English.
• In the question papers, wherever necessary, questions involving the metric system of Weights and Measures only will be set.
• Candidates must write the papers in their own hands. In no circumstances will they be allowed the help of a scribe to write answers for them
• The Commission has the discretion to fix qualifying marks in any or all the subjects at the examination.
• The candidates are not permitted to use a calculator or Mathematical or logarithmic table for answering objective-type papers (Test Booklets). They should not, therefore, bring the same inside the Examination Hall.

Details of the SSB Interview for UPSC NDA Selection Process

The SSB Interview is a five-day long process that aims to assess the candidate’s suitability for a career in the Armed Forces. The tests involved in the interview assess the candidate’s intelligence, personality, and compatibility with the requirements of the Armed Forces. The SSB Interview also assesses the candidate’s physical fitness through medical tests. Candidates who clear the SSB Interview are recommended for a medical examination, and on clearing the medical examination, they are selected for training at the National Defence Academy.

UPSC NDA Previous Year Question Paper With Solution Pdf Download

The UPSC releases the NDA previous year question paper with solution pdf on its official website, and candidates can download them easily for free. Here’s how to download the UPSC NDA previous year question paper with solution pdf:

1. Go to the official website of the UPSC (www.upsc.gov.in).
2. Click on the ‘Examinations’ tab and select the ‘Previous Question Papers’ option.
3. Select the ‘NDA & NA’ option from the drop-down menu.
4. Click on the link for the year you want to download the question paper for.
5. The UPSC NDA previous year question paper with solution pdf will appear on the screen.
6. Download and save the pdf for future reference.

UPSC NDA Solved Paper of Last Ten Years Pdf Download in Hindi and English are given below with complete solution.

UPSC NDA Question Paper 2021 PDF Download With Solution

UPSC NDA Question Paper 2020 PDF Download With Solution

UPSC NDA Question Paper 2019 PDF Download With Solution

UPSC NDA Question Paper 2018 PDF Download With Solution

UPSC NDA Question Paper 2017 PDF Download With Solution

UPSC NDA Question Paper 2016 PDF Download With Solution

UPSC NDA Question Paper 2015 PDF Download With Solution

UPSC NDA Question Paper 2014 PDF Download With Solution

UPSC NDA Sample Papers 2022 Pdf 

UPSC NDA Previous Year Question Paper Book PDF

1. NDA / NA Solved Paper Chapterwise & Sectionwise Paperback  Hindi Edition — by Arihant Experts 

2. NDA/ NA 16 years English & General Knowledge Topic-wise Solved Papers (2006 – 2021) 2nd Edition Paperback – by Disha Experts  (Author)

3.10 Practice Sets NDA/NA Defence Academy & Naval Academy Paperback –by Arihant Experts 

Tips to crack the UPSC NDA exam

• Understand the exam pattern and syllabus: Before beginning the preparation for UPSC NDA exam, candidates must thoroughly understand the UPSC NDA exam pattern and syllabus. This will help them plan their preparation accordingly and focus on the relevant topics. It is also recommended that candidates should download the UPSC NDA previous year question paper with solution PDF to get a better understanding of the exam.
• Prepare a study plan: A well-structured study plan is crucial for effective preparation. Candidates should divide their preparation time equally among all the subjects and allocate sufficient time for revision and practice. The UPSC NDA previous year question paper with solution PDF can also be used to identify the important topics and make a study plan accordingly.
• Practice previous year’s question papers: As mentioned earlier, practicing previous year’s question papers is an excellent way to understand the exam pattern, types of questions asked, and difficulty level. It also helps in identifying the weak areas and working on them to improve performance. Candidates should make it a habit to practice previous year’s question papers regularly, including the UPSC NDA previous year question paper with solution PDF.
• Stay updated with current affairs: The UPSC NDA exam includes a section on current affairs. Candidates must stay updated with the latest news and events happening in the country and around the world. This can be done by reading newspapers, magazines, and other relevant sources.
• Revise regularly: Regular revision is essential to retain what has been learned and improve memory retention. Candidates should revise the topics they have covered regularly and take regular mock tests to evaluate their performance. The UPSC NDA previous year question paper with solution PDF can also be used for revision purposes.
• Stay calm and focused during the exam: Finally, on the day of the exam, candidates must stay calm and focused. Avoid last-minute stress and anxiety and maintain a positive mindset. Candidates should also carry a printout of the UPSC NDA previous year question paper with solution PDF to the exam hall for reference purposes. By following these tips and strategies, candidates can crack the UPSC NDA exam and achieve their goal of joining the prestigious National Defence Academy.

Benefits Of Solving UPSC NDA Previous Year Question Paper

NDA SSB interview questions answer PDF

UPSC NDA Syllabus 

PAPER-I MATHEMATICS

1. ALGEBRA 

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 19  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. Solution of linear inequations of two variables by graphs. Permutation and Combination. Binomial theorem and its applications. Logarithms and their applications. 

2. MATRICES AND DETERMINANTS : Types of matrices, operations on matrices. 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

 3. TRIGONOMETRY : 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. 

4.ANALYTICAL GEOMETRY OF TWO AND THREE DIMENSIONS: Rectangular Cartesian Coordinate system. Distance formula. Equation of a line in various forms. Angle between two lines. Distance of a point from a line. Equation of a circle in standard and in general form. Standard forms of parabola, ellipse and hyperbola. Eccentricity and axis of a conic. Point in a three dimensional space, distance between two points. Direction Cosines and direction ratios. Equation two points. Direction Cosines and direction ratios. Equation of a plane and a line in various forms. Angle between two lines and angle between two planes. Equation of a sphere. 

5. DIFFERENTIAL CALCULUS : Concept of a real valued function–domain, range and 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. Derivatives of sum, product and quotient of functions, derivative of a function with respect to another function, derivative of a composite function. Second order derivatives. Increasing and decreasing functions. Application of derivatives in problems of maxima and minima. 

6.INTEGRAL CALCULUS AND DIFFERENTIAL EQUATIONS : 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 a differential equations, solution of first order and first degree differential equations of various types—examples. Application in problems of growth and decay. 

7. VECTOR ALGEBRA : 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. 

8. STATISTICS AND PROBABILITY : 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. 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.

 PAPER-II GENERAL ABILITY TEST 

 Part ‘A’—ENGLISH (Maximum Marks—200) 

The question paper in English will be designed to test the candidate’s understanding of English and workman like use of words. The syllabus covers various aspects like : Grammar and usage, vocabulary, comprehension and cohesion in extended text to test the candidate’s proficiency in English. 

Part ‘B’—GENERAL KNOWLEDGE (Maximum Marks—400) 

 The question paper on General Knowledge will broadly cover the subjects : Physics, Chemistry, General Science, Social Studies, Geography and Current Events. – The syllabus given below is designed to indicate the scope of these subjects included in this paper. The topics mentioned are not to be regarded as exhaustive and questions on topics of similar nature not specifically mentioned in the syllabus may also be asked. Candidate’s answers are expected to show their knowledge and intelligent understanding of the subject. 

Section ‘A’ (Physics) Physical Properties and States of Matter, Mass, Weight, Volume, Density and Specific Gravity, Principle of Archimedes, Pressure Barometer. Motion of objects, Velocity and Acceleration, Newton’s Laws of Motion, Force and Momentum, Parallelogram of Forces, Stability and Equilibrium of bodies, Gravitation, elementary ideas of work, Power and Energy. Effects of Heat, Measurement of Temperature and Heat, change of State and Latent Heat, Modes of transference of Heat. Sound waves and their properties, Simple musical instruments. Rectilinear propagation of Light, Reflection and refraction. Spherical mirrors and Lenses, Human Eye. Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet. Static and Current Electricity, conductors and Nonconductors, 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. 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; Lightening Conductors, Safety Fuses. 

Section ‘B’ (Chemistry) Physical and Chemical changes. Elements, Mixtures and Compounds, Symbols, Formulae and simple Chemical Equations, Law of Chemical Combination (excluding problems). Properties of Air and Water. Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbondioxide, Oxidation and Reduction. Acids, bases and salts. Carbon—different forms. Fertilizers—Natural and Artificial. Material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches and GunPowder. Elementary ideas about the structure of Atom, Atomic Equivalent and Molecular Weights, Valency. 22  

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

Section ‘D’ (History, Freedom Movement etc.) A broad survey of Indian History, with emphasis on Culture and Civilisation. Freedom Movement in India. Elementary study of Indian Constitution and Administration. Elementary knowledge of Five Year Plans of India. Panchayati Raj, Co-operatives and Community Development. Bhoodan, Sarvodaya, National Integration and Welfare State, Basic Teachings of Mahatma Gandhi. 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. Role of India in the present world. 

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

Section ‘F’ (Current Events) Knowledge of Important events that have happened in India in the recent years. Current important world events. Prominent personalities—both Indian and International including those connected with cultural activities and sports. 

last year NDA question paper with solution pdf

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