2nd PUC Sociology Question Bank with Answers Karnataka

2nd PUC Sociology Question Bank with Answers Karnataka

Expert Teachers at KSEEBSolutions.com has created Karnataka 2nd PUC Sociology Question Bank with Answers Solutions, Notes, Guide Pdf Free Download of 2nd PUC Sociology Textbook Questions and Answers, Model Question Papers with Answers, Study Material 2020-21 in English Medium and Kannada Medium are part of 2nd PUC Question Bank with Answers. Here KSEEBSolutions.com has given the Department of Pre University Education (PUE) Karnataka State Board NCERT Syllabus 2nd Year PUC Sociology Question Bank with Answers Pdf.

Students can also read 2nd PUC Sociology Model Question Papers with Answers hope will definitely help for your board exams.

Karnataka 2nd PUC Sociology Question Bank with Answers

2nd PUC Computer Science Question Bank with Answers

Karnataka 2nd PUC Sociology Question Bank with Answers in English

Karnataka 2nd PUC Sociology Question Bank with Answers in Kannada

Karnataka 2nd PUC Sociology Syllabus and Marking Scheme

2nd PUC Sociology Blue Print of Model Question Paper

2nd PUC Sociology Blue Print of Model Question Paper

CHAPTER 1 MAKING OF INDIAN SOCIETY AND DEMOGRAPHY (10/20 Hours, 13/26 Marks)

1.1 Emergence of Pluralistic Society; Racial Groups in India, Origin of Indian Civilization, The Process of Aryanization, Development of Religio-Philosophical Literature, Christianity and Islam in India, Arrival of the Europeans
1.2 Unity in Diversity; Nature of Diversity; Regional, Linguistic, Religious, Cultural and Ethnic : The Nature of Unity in India; Regional Unity, Linguistic Unity, Religious Unity and Cultural Unity.
1.3 National Integration – Meaning and Definitions Challenges to National Integration – Regionalism, Communalism, Linguism, Extremism and Terrorism. Measures to Strengthen National Integration Demographic Profile of India; Major Characteristics of
1.4 Demographic Profile of India; Demographic profile of Karnataka. Population Policy of India.

CHAPTER 2 SOCIAL INEQUALITY; EXCLUSION AND INCLUSION (15 Hours, 18 Marks)

2.1 Social Inequality and Exclusion – Meaning and Definition of Social Inequality, Exclusion and Inclusion.
2.2 Exclusion based on Caste: Meaning and Definition of Caste. Changes in Caste System – Caste in Pre-Independence Period, Caste in Post Independence India: Functional changes in the Caste System, The changes in the Role of Caste System
2.3 Concept of Dominant Caste (M. N. Srinivas).
2.4 The Backward Classes in India; Meaning of Scheduled Castes, Problems or Disabilities of Scheduled Castes – Economic, Social and Religious
2.5 Tribes – Changing Concept of Tribe, Demographic Aspects, Geographical Distribution of Indian Tribes – Scheduled Tribes – Problems of Indian Tribes – Three views on Tribal Welfare- Tribal Panchasheela.
2.6 Other Backward Classes (OBCs) – Problems of other Backward Classes (OBCs), Criteria of Backwardness; Kalelkar and Mandal Commissions; Karnataka State Backward Class Commissions – An Overview

CHAPTER 3 INCLUSIVE STRATEGIES (15 Hours, 18 Marks)

3.1 Affirmative Action related to SCs, STs and Women: Meaning of Affirmative Action and Protective Discrimination;
Constitutional Safeguards for the Upliftment of Scheduled Castes and Scheduled Tribes, Legislative Measures for the Upliftment of Scheduled Castes, Developmental Measures for the Upliftment of Scheduled Castes, The Role of Gandhi and B. R. Ambedkar, The Role of Non-Governmental Organizations in the Upliftment of SCs and STs, Sulabh Shouchalaya
3.2 Tribal Welfare Programmes; Economic Programmes, Educational Programmes, Research Programmes, Health, Housing and other Schemes.
3.3 Gender inequality; Concept of Sex and Gender, Gender discrimination, Towards Equality Report 1974. Women Empowerment; Meaning and Definition of Women’s Empowerment, Strategies for Empowerment of Women, The National Commission for Women, Self-Help Groups (SHG), Structure of the Self-Help Group, Micro Finance; Meaning, Features Types, Principles; Streeshakti, Shri Kshethra Dharmasthala Rural Development Project, Lijjat Papad and SEWA.

CHAPTER 4 FAMILY IN INDIA (10 Hours, 13 Marks)

4.1 Meaning, Definitions and Characteristics of Joint Family
4.2 Types of Joint Family: Patriarchal: Illom, Matriarchal: Taravad-Narasinganavar family – An example of patriarchal joint family
4.3 Advantages and Disadvantages of Joint Family Structural and Functional changes – Causes for changes

CHAPTER 5 CHANGES AND DEVELOPMENT OF VILLAGES AND URBANIZATION IN INDIA (20 Hours, 26 Marks)

5.1 Meaning and Characteristics of Village Community, Characteristics of Village Community, Villages Studies and its importance
5.2 Problems of Indian Villages – Social, Economic and Agricultural Problems – Farmer Suicides in Karnataka, Causes of Agrarian Crisis, Understanding Farmer Suicides, The Committees to study the Agrarian Issues in Karnataka, Recent Policy initiatives
5.3 Rural Developmental Programmes; Meaning of Rural Development, Land Reforms, The Green Revolution, Panchayath Raj, Community Development Programme (CDP), Integrated Rural Development Programme (IRDP) and MGNAREGA.
5.4 Changes in Indian Villages: Continuous Migration of People towards the Cities, Farm to Non-farm and Special Economic Zone (SEZ).
5.5 Meaning and Definitions of Cities and Urbanization, Historical Background of Urbanization in India.
5.6 Problems of Indian Cities- Urban poverty, Slums, etc., Solutions to Urban Problems.

CHAPTER 6 MARKET AND COMMUNICATION SYSTEMS (15 Hours, 20 Marks)

6.1 The Market as a Social Institution: Meaning of Market and features of Market, Sociological Perspectives on Market and the Economy. Weekly Market as a Social Institution and Bastar Tribal Market – Chhattisgarh,
6.2 Traditional Business Communities – Caste Based Trade among theNakarattars of Tamil Nadu, Social Organisation of Markets – Pushkar Annual Fair.
6.3 Virtual Markets Emergence of Virtual Markets and online Shopping Sites in India.
6.4 Interlinking of Markets and Mcdonaldization.
6.5 Mass Media:
6.5.1 Meaning of Mass Media and Functions of Mass Media.
6.5.2 Types of Mass Media; Print Media and Electronic Media.
6.5.3 Recent Trends in Mass Media.
6.5.4 Role of Media in the Contemporary World.

CHAPTER 7 SOCIAL MOVEMENTS (15 Hours, 18 Marks)

7.1 Social Movements in India; Meaning, Definitions of Social Movement, Major Components of Social Movements, New Components of Social Movements, Types of Social Movements
7.2 Farmers’ Movement; Meaning and Types of Farmers’ Movement, Kathleen Gough, Factors facilitating Peasant Movement in India, Farmers’ Movements in Karnataka, Kagodu Movement/Kagodu Satyagraha, The Malaprabha Agitation, Navalgunda and Nargunda incidents, Anti-Price Rise Agitation, The Rise of Rudrappa’s Raitha Sangha, Entry of Prof. M. D. Nanjudaswamy, Major issues of KRRS Movement, Neera Movement, Post-1980 Issues and Developments and PDF and KPRS.
7.3 Backward Class and Dalit Movement; The Course of the Movement, Sri Sahu Maharaj and Satya Shodak Samaj, Justice Party and Non-Brahmin Movement in Madras, The Self¬Respect Movement or the Dravidian Phase, Non=Brahmin Movement in Karnataka, Non-Brahmin Movement in Kerala, SriNarayana Guru Dharma ParipalanaYogam (SNDP), Dalit Movement in the Post-Independence Period
7.4 Women’s Movement in India; Pre – Independence Phase, Post-Independence Phase, Changing context and Widening concerns

CHAPTER 8 SOCIAL CHANGES IN INDIA (10 Hours, 13 Marks)

8.1 Social changes in India; Introduction to Social Changes in India
8.2 Sanskritization; Meaning and Definition of Sanskritization, Major Factors of Sanskritization, Criticisms of Sanskritization,
8.3 Westernisation; Meaning and Definition of Westernization, The Impact of Westernization, Criticisms of Westernization
8.4 Modernisation; Meaning and Definition of Modernization; Causes for Modernization, Process of Modernization in India
8.5 Globalization; Meaning and Definition of Globalization; Factors Contributing to Globalization; Two Major Dimensions of Global Outlook; Homogenization and Hybridization of culture; Barbie Doll – Truly a Global Citizen.

We hope the given Karnataka 2nd PUC Class 12 Sociology Question Bank with Answers Solutions, Notes, Guide Pdf Free Download of 2nd PUC Sociology Textbook Questions and Answers, Model Question Papers with Answers, Study Material 2020-2021 in English Medium and Kannada Medium will help you. If you have any queries regarding Karnataka State Board NCERT Syllabus 2nd Year PUC Class 12 Sociology Question Bank with Answers Pdf, drop a comment below and we will get back to you at the earliest.

2nd PUC Geography Question Bank with Answers Karnataka

2nd PUC Geography Question Bank with Answers Karnataka

Expert Teachers at KSEEBSolutions.com has created Karnataka 2nd PUC Geography Question Bank with Answers Solutions, Notes, Guide Pdf Free Download of 2nd PUC Geography Textbook Questions and Answers, Model Question Papers with Answers, Study Material 2020-21 in English Medium and Kannada Medium are part of 2nd PUC Question Bank with Answers. Here KSEEBSolutions.com has given the Department of Pre University Education (PUE) Karnataka State Board NCERT Syllabus 2nd Year PUC Geography Question Bank with Answers Pdf.

Students can also read 2nd PUC Geography Model Question Papers with Answers hope will definitely help for your board exams.

Karnataka 2nd PUC Geography Question Bank with Answers

2nd PUC Geography Question Bank with Answers

Karnataka 2nd PUC Geography Question Bank with Answers in English

2nd PUC Geography Question Bank Part A: Fundamentals of Human Geography

2nd PUC Geography Question Bank Part B: Human and Economic Geography of India

Karnataka 2nd PUC Geography Question Bank with Answers in Kannada

2nd PUC Geography Question Bank Part A: Fundamentals of Human Geography

2nd PUC Geography Question Bank Part B: Human and Economic Geography of India

Karnataka 2nd PUC Geography Syllabus and Marking Scheme

Karnataka 2nd PUC Geography Blue Print of Model Question Paper

2nd PUC Geography Blue Print of Model Question Paper

PART – A : FUNDAMENTALS OF HUMAN GEOGRAPHY

CHAPTER 1 HUMAN GEOGRAPHY (5 hrs.)
1.1 Meaning, Field and Scope of Human Geography

CHAPTER 2 WORLD POPULATION (9 hrs.)
2.1 Growth of population, Density, Distribution and Demographic Cycle.
2.2 Composition-Age Structure, Sex-Ratio, Rural Urban, Literacy and Occupation
2.3 Human Development – Meaning, Indicators.

CHAPTER 3 ECONOMIC ACTIVITIES (5 hrs.)
3.1 Primary Activities – Food gathering, Hunting, Animal Rearing, Fishing, Lumbering, Mining and Agriculture.
3.2 Secondary, Tertiary and Quaternary Activities.

CHAPTER 4 TRANSPORT AND COMMUNICATION (6 hrs.)
4.1 Transport – Modes of Transport – Land Transport – Roads and Railways, Water Transport – Sea Routes and Shipping Canals, Air Transport, Pipelines.
4.2 Communication – Types – Newspapers, Radio, Television, Satellite and Internet.

CHAPTER 5 HUMAN SETTLEMENTS (3 hrs.)
5.1 Rural Settlements – Location and Types, Urban Settlements, Urban Concept, Urbanization, Urban Issues and Problems.

PART – B : HUMAN AND ECONOMIC GEOGRAPHY OF INDIA

CHAPTER 6 POPULATION OF INDIA (12 hrs.)
6.1 Growth, Density and Distribution
6.2 Composition – Sex-Ratio, Literacy, Age Structure, Rural and Urban Population
6.3 Migration – Types, Causes and Consequences
6.4 Human Development

CHAPTER 7 LAND AND WATER RESOURCES (10 hrs.)
7.1 Land Use Pattern and Land Capability
7.2 Irrigation – Water Wealth of India and Sources of Irrigation
7.3 Major Multipurpose River Valley Projects – DVC Project, Bhakra-Nangal Project, Hirakud Project, Upper Krishna Project.
7.4 Water Conservation and Management, Watershed Management and Rainwater Harvesting.

CHAPTER 8 AGRICULTURE (12 hrs.)
8.1 Importance and Types
8.2 New Dimensions of Agriculture – Gree Revolution, Organic Farming, Tissue Culture and Horticulture
8.3 Major Crops – Food Crops – Rice and Wheat, Commercial Crops – Sugarcane and Cotton. Plantation Crops – Tea and Coffee.

CHAPTER 9 : MINERAL AND POWER RESOURCES (14 hrs.)
9.1 Major Minerals – Iron Ore, Manganese, Bauxite and Gold.
9.2 Power Resources – Conventional Power Resources – Coal,Petroleum, Natural Gas, – Electricity – Hydro-electricity,Thermal and Atomic Power.
9.3 Non-Conventional Power Resources – Solar, Wind, Tidal, Bio-gas and Geo-Thermal.
9.4 Conservation and Management.

CHAPTER 10: MANUFACTURING INDUSTRIES (12 hrs.)
10.1 Locational Factors
10.2 Industrial Regions of India
10.3 Major Industries – Iron and Steel, Cotton Textile, Sugar, Cement, Aluminium, Petro-Chemical, Automobile and Knowledge-based Industry.
10.4 Effects of Liberalization, Privatization and Globalization (LPG) on Industries.

CHAPTER 11: TRANSPORT, COMMUNICATION AND TRADE (10 hrs.)
11.1 Land – Roadways, Railways and Pipelines, Waterways – Inland, Ocean and Major Ports, Airways.
11.2 Communication – Mass Communication, Newspapers, Radio, Television and Satellites.
11.3 Trade – Types, Imports and Exports, Direction and Composition.

CHAPTER 12: GEOGRAPHICAL PERSPECTIVES ON ENVIRONMENTAL ISSUES – PLANNING AND SUSTAINABLE DEVELOPMENT (7 hrs.)
12.1 Environmental Pollution, Types – Water, Air, Noise, Urban Waste, Disposal, Land Degradation, Deforestation and Urban Slums.
12.2 Planning in India – Concepts and Types.
12.3 Sustainable Development.

PART – C : PRACTICAL GEOGRAPHY

CHAPTER 13: REPRESENTATION OF GEOGRAPHICAL DATA (14 hrs.)
13.1 Sources of Data
13.2 Geographical Representation of Data – Line Graph – Single and Double. Bar Graph (Vertical) Single and Double
13.3 Pie-Diagrams
13.4 Spatial Information Technologies – GIS, GPS and Remote Sensing.

We hope the given Karnataka 2nd PUC Class 12 Geography Question Bank with Answers Solutions, Notes, Guide Pdf Free Download of 2nd PUC Geography Textbook Questions and Answers, Model Question Papers with Answers, Study Material 2020-2021 in English Medium and Kannada Medium will help you. If you have any queries regarding Karnataka State Board NCERT Syllabus 2nd Year PUC Class 12 Geography Question Bank with Answers Pdf, drop a comment below and we will get back to you at the earliest.

2nd PUC Accountancy Question Bank with Answers Karnataka

2nd PUC Accountancy Question Bank with Answers Karnataka

Expert Teachers at KSEEBSolutions.com has created Karnataka 2nd PUC Accountancy Question Bank with Answers Solutions, Notes, Guide Pdf Free Download of 2nd PUC Accountancy Textbook Questions and Answers, Model Question Papers with Answers, Study Material 2020-21 in English Medium and Kannada Medium are part of 2nd PUC Question Bank with Answers. Here KSEEBSolutions.com has given the Department of Pre University Education (PUE) Karnataka State Board NCERT Syllabus 2nd Year PUC Accountancy Question Bank with Answers Pdf.

Students can also read 2nd PUC Accountancy Model Question Papers with Answers hope will definitely help for your board exams.

2nd PUC Accountancy Question Bank with Answers

Karnataka 2nd PUC Accountancy Question Bank with Answers

2nd PUC Accountancy Question Bank Part 1 Partnership Accounts

2nd PUC Accountancy Question Bank Part 2 Company Accounts and Analysis of Financial Statements

Karnataka 2nd PUC Accountancy Syllabus and Marking Scheme

Karnataka 2nd PUC Accountancy Blue Print of Model Question Paper

Chapter wise Hours Allotted, Weightage of Marks and Typology of Questions: 2019-20

2nd PUC Accountancy Blue Print of Model Question Paper 1

2nd PUC Accountancy Course Structure : 2019-20

2nd PUC Accountancy Blue Print of Model Question Paper 2

2nd PUC Accountancy Textbook wise and Section wise No. of Questions Allotment of Marks

2nd PUC Accountancy Blue Print of Model Question Paper 3

2nd PUC Accountancy Textbook wise Split-Up of Questions and Marks Allotment

2nd PUC Accountancy Blue Print of Model Question Paper 4

2nd PUC Accountancy Suggested Question Paper Design / Weightage to KUAS Instructional Objectives : 2019-20

2nd PUC Accountancy Blue Print of Model Question Paper 5

List of Practical Oriented Questions (POQs) for 10 Marks under Section – E

  1. Classify the following items in to capital and revenue (Any 5 items).
  2. Prepare Receipts and Payments Account of a Not – For – Profit Organization with 5 imaginary figures.
  3. How do you treat the followings in the absence of Partnership Deed?
    a) Profit Sharing Ratio
    b) Interest on Capital
    c) Interest on Drawing
    d) Interest on advances from partners
    e) Remuneration to partners for firm’s work
  4. Write two Partners’ Current Accounts under Fixed Capital System with 5 imaginary figures.
  5. Write two Partners’ Capital Accounts under Fluctuating Capital System with 5 imaginary figures.
  6. Write Profit and Loss Appropriation Account of a firm with 5 imaginary figures.
  7. Prepare Executors Loan Account with imaginary figures showing the repayment in two annual equal installments along with interest.
  8. Give the disclosure requirements pertaining to Share Capital in Notes to Accounts of Balance Sheet of a Company with imaginary figures.
  9. Write the pro-forma of a Balance Sheet of a Company with main heads only.
  10. Prepare a Statement of Profit and Loss of a Company in vertical form with imaginary figures of 5 main heads only.
  11. Name the major heads under which the following items will be presented in the Balance Sheet of a Company (Any 5 items only).
  12. Prepare Comparative Statement of Profit and Loss with 5 imaginary figures.
  13. Prepare Common Size Statement of Profit and Loss with 5 imaginary figures.
  14. Write the pro-forma of Cash Flows from Operating Activation under Direct Method
  15. Classify the following cash flow activities into operating, investing and financing as per AS – 3 (Atleast two items each from any two activity and one item from remaining activity. Total 5 items only).

Important Notes

  1. Out of 3 POQs to be asked, choose first POQ from Sl.No. 1 to 5, Second POQ from Sl.No. 6 to 10 and third and last POQ from Sl.No. 11 to 15.
  2. Out of three questions, two questions of 5 marks each are to be answered.

We hope the given Karnataka 2nd PUC Class 12 Accountancy Question Bank with Answers Solutions, Notes, Guide Pdf Free Download of 2nd PUC Accountancy Textbook Questions and Answers, Model Question Papers with Answers, Study Material 2020-2021 in English Medium and Kannada Medium will help you. If you have any queries regarding Karnataka State Board NCERT Syllabus 2nd Year PUC Class 12 Accountancy Question Bank with Answers Pdf, drop a comment below and we will get back to you at the earliest.

2nd PUC Political Science Question Bank with Answers Karnataka

2nd PUC Political Science Question Bank with Answers Karnataka

Expert Teachers at KSEEBSolutions.com has created Karnataka 2nd PUC Political Science Question Bank with Answers Solutions, Notes, Guide Pdf Free Download of 2nd PUC Political Science Textbook Questions and Answers, Model Question Papers with Answers, Study Material 2020-21 in English Medium and Kannada Medium are part of 2nd PUC Question Bank with Answers. Here KSEEBSolutions.com has given the Department of Pre University Education (PUE) Karnataka State Board NCERT Syllabus 2nd Year PUC Political Science Question Bank with Answers Pdf.

Students can also read 2nd PUC Political Science Model Question Papers with Answers hope will definitely help for your board exams.

Karnataka 2nd PUC Political Science Question Bank with Answers

2nd PUC Political Science Question Bank with Answers

Karnataka 2nd PUC Political Science Question Bank with Answers in English

Karnataka 2nd PUC Political Science Question Bank with Answers in Kannada

Karnataka 2nd PUC Political Science Blue Print of Model Question Paper

2nd PUC Political Science Blue Print of Model Question Paper 1

We hope the given Karnataka 2nd PUC Class 12 Political Science Question Bank with Answers Solutions, Notes, Guide Pdf Free Download of 2nd PUC Political Science Textbook Questions and Answers, Model Question Papers with Answers, Study Material 2020-2021 in English Medium and Kannada Medium will help you. If you have any queries regarding Karnataka State Board NCERT Syllabus 2nd Year PUC Class 12 Political Science Question Bank with Answers Pdf, drop a comment below and we will get back to you at the earliest.

2nd PUC Statistics Question Bank with Answers Karnataka

2nd PUC Statistics Question Bank with Answers Karnataka

Expert Teachers at KSEEBSolutions.com has created Karnataka 2nd PUC Statistics Question Bank with Answers Solutions, Notes, Guide Pdf Free Download of 2nd PUC Statistics Textbook Questions and Answers, Model Question Papers with Answers, Study Material 2020-21 in English Medium and Kannada Medium are part of 2nd PUC Question Bank with Answers. Here KSEEBSolutions.com has given the Department of Pre University Education (PUE) Karnataka State Board NCERT Syllabus 2nd Year PUC Statistics Question Bank with Answers Pdf.

Students can also read 2nd PUC Statistics Model Question Papers with Answers hope will definitely help for your board exams.

2nd PUC Statistics Question Bank with Answers

Karnataka 2nd PUC Statistics Question Bank with Answers

Features of 2nd PUC Statistics Question Bank with Answers

  • For the first time Pre-University Department has been released the Question Bank for the Second Year PUC Statistics.
  • Second Year PUC Statistics Text Book contains 8 units
  • The questions in the Question Bank are framed for all the units on the basis of the text book.
  • Following is the pattern of the Question Bank.
  • Section A – each question carries one mark.
  • Section B – each question carries two marks.
  • Section C – each question carries five marks.
  • Section D – each question carries ten marks.
  • Section E – each question carries five marks (Practical – oriented questions).
  • Tests, Mid-term and Annual Examination Question Papers should be based on this Question Bank.

Karnataka 2nd PUC Statistics Syllabus and Marking Scheme

Karnataka 2nd PUC Statistics Blue Print of Model Question Paper

2nd PUC Statistics Blue Print of Model Question Paper 1

2nd PUC Statistics Blue Print of Model Question Paper

Note:-
* Sec-D: Four 10 Marks question are set as, one each from Units I to III and one from Unit V and VII
* Sec-E: Four 5 marks questions are set as, one question selected either from Unit V, two questions from Unit VI and one question from Unit VII.

Unit I VITAL STATISTICS

Meaning of demography and Vital statistics.
Methods of collection of Vital Statistics-census method and registration method, uses.
Fertility rates: CBR, ASFR, GFR and TFR – definition, merits, demerits and related problems.
Growth rate: GRR and NRR – definition, merits, demerits and computation.
Mortality rates: CDR, ASDR, SDR, IMR, NMR and MMR-definition, merits, demerits and related problems.
Life table: Meaning, uses, components of a life table, 1 and 2 marks problems.

Unit II INDEX NUMBERS

Meaning, characteristics, uses and limitations. Construction of an index number-steps-simple and weighted (AM, GM and aggregative). Price, Quantity and Value index numbers. Price and quantity index numbers-Laspeyre’s, Paasche’s, Marshall-Edge worth’s, Dorbish- Bowley’s and Fisher’s. Kelly’s price index number. Bias in an index number.
Consistency tests: TRT and FRT- description, verification, Unit and Circular Tests (statements and explanation only). Fisher’s index number is ideal-reasons.
Consumer price index numbers: Meaning and uses, construction: Aggregative expenditure method and family budget method, problems.

Unit III TIME SERIES ANALYSIS

Meaning, example, uses. Components of a time series with examples.
Measurement of trend- Graphical, Semi average, moving averages method (with period 3, 4 or 5 years) and method of least squares-related problems. Graphs of actual (Historigram) and trend values.
Fitting a linear trend, second degree (quadratic), exponential trend-obtaining trend values, estimating future values, drawing the actual and the trend values. Short term fluctuations.

Unit IV INTERPOLATION AND EXTRAPOLATION

Binomial expansion method Newton’s method of interpolation and extrapolation, conditions, formula and problems (with two missing values – one within and one outside the range).

Unit V THEORETICAL DISTRIBUTIONS

(a) Discrete probability distributions:
Bernoulli distribution – p.m.f., examples, mean and variance, features, problems.
Binomial Distribution, Poisson distribution – p.m.f., examples, mean and variance, features. For a given mean and variance, finding the parameters. Problems, Fitting, recurrence relation between successive probabilities and frequencies, obtaining expected frequencies.
Hyper-geometric distribution – p.m.f, features and problems.

(b) Continuous probability distributions:
Normal distribution – p.d.f., examples, properties, definition of SNV, standard normal distribution. Probabilities and expected numbers. Finding the probabilities within one, two and three s (sigma) limits.
Chi-square, Student’s t- distributions- p.d.f., features and their applications.

Unit VI STATISTICAL INFERENCE

1. Part: Population, sample, parameter, statistic, sample space, parameter space, sampling distribution. Definition of standard error, standard errors for mean, difference of mean, proportion and difference, uses.
Theory of Estimation: meaning of point estimation and interval estimation, confidence interval, confidence limits and confidence coefficient.
Testing of Hypothesis: Hypothesis: statistical hypothesis, null and alternative hypotheses, null distribution and test statistic.
Type I and II errors, size of a test, level of significance and power of a test.
Critical region and critical value, one and two-tailed tests with examples.

2. Part: Large sample tests: Testing for population mean and equality of two means, proportion and equality of two proportions with one and two tailed tests.

3. Part: Small sample tests:
(i) t- tests for population mean, equality of means and paired t – test.
(ii) Chi square test for testing of population variance, independence of attributes and goodness of fit.

Unit VII STATISTICAL QUALITY CONTROL

Meaning and its uses. Causes of variation – chance and assignable, explanation with examples, meaning of process control and product control with examples.

Control charts and control limits (with 3 s limits). Construction of and R-charts when sample means and ranges of 10 or less, samples of sizes 4 or 5 are given.

np or d-defectives chart and C-charts-defects and conclusions.
Meaning of acceptance sampling and uses. Description of single and double sampling plans, with relative merits and demerits.

Unit VIII OPERATIONS RESEARCH Meaning of O.R. and its Scope.

(a) Linear Programming Problem: Definition of LPP, Statement of its general form, Formulation of LPP with two variables and graphical solution-Feasible, Optimal, Multiple, Unbounded solutions.

(b) Transportation Problem- Statement of T. P., Feasible, basic feasible solution, degenerate solution, non-degenerate solution and optimal solution. Balanced and unbalanced T.P. Finding initial basic feasible solution by North-West Corner Rule and Method of matrix minima (low-est cost entry method). Determine the initial total transportation cost.

(c) Game problems: Meaning, characteristics of game, 2-person Zero-sum game, Pure and Mixed strategies, methods of solving a rectangular game with saddle point-Maximin-Minimax principle and Dominance principle.

(d) Replacement problems: Need for replacement, replacement of items that deteriorate with time [discrete case only] without considering change in the money value.

(e) Inventory problems: Meaning of Inventory and its need, Inventory costs, Lead time, Stock replenishment, Time horizon, E.O.Q model with and without shortages [without derivations], case of deterministic uniform demand, instantaneous production and no lead time.
Practicals: Each practical is of two hours duration.

We hope the given Karnataka 2nd PUC Class 12 Statistics Question Bank with Answers Solutions, Notes, Guide Pdf Free Download of 2nd PUC Statistics Textbook Questions and Answers, Model Question Papers with Answers, Study Material 2020-2021 in English Medium and Kannada Medium will help you. If you have any queries regarding Karnataka State Board NCERT Syllabus 2nd Year PUC Class 12 Statistics Question Bank with Answers Pdf, drop a comment below and we will get back to you at the earliest.

KSEEB SSLC Class 10 Maths Solutions Chapter 1 Arithmetic Progressions Ex 1.1

KSEEB SSLC Class 10 Maths Solutions Chapter 1 Arithmetic Progressions Ex 1.1 are part of KSEEB SSLC Class 10 Maths Solutions. Here we have given Karnataka SSLC Class 10 Maths Solutions Chapter 1 Arithmetic Progressions Exercise 1.1.

Karnataka SSLC Class 10 Maths Solutions Chapter 1 Arithmetic Progressions Exercise 1.1

KSEEB Solutions For Class 10 Maths Question 1.
In which of the following situations, does the list of numbers involved make an arithmetic progression, and why?
i) The taxi fare after each km when the fare is Rs. 15 for the first km and Rs. 8 for each additional km.
ii) The amount of air present in a cylinder when a vacuum pump removes of the air remaining in the cylinder at a time.
iii) The cost of digging a well after every metre of digging, when it costs Rs. 150 for the first metre and rises by Rs. 50 for each subsequent metre.
iv) The amount of money in the account every year, when Rs. 10000 is deposited at compound interest at 8% per annum.
Solution:
i) Rent for            Rent for            Rent for
1st km                  2nd km             3rd km
Rs. 15                     Rs. 8                 Rs. 8
d = a2 – a1 = 8 – 15 = -7
d = a3 – a2 = 8 – 8 = 0
Here ’d’ is not constant.
Hence it does not form an AP.

ii) Let the amount of air present in a cylinder be ‘x’.

  1. \(\frac{1}{4} \text { of } 1=\frac{1}{4}\) Amount of air goes out
    \(1-\frac{1}{4}=\frac{3}{4}\) Air remaining
  2. \(\frac{1}{4} \text { of } \frac{3}{4}=\frac{3}{16}\) Amount of air goes out
    \(\frac{3}{4}-\frac{3}{16}=\frac{9}{16}\) Air remaining
  3. \(\frac{1}{4} \text { of } \frac{9}{16}=\frac{9}{64}\) Amount of air goes out
    \(\frac{9}{16}-\frac{9}{64}=\frac{27}{64}\) Air remaining

Set \(\frac{3}{4}, \frac{9}{16}, \frac{27}{64}, \ldots .\)
\(\mathrm{d}=\mathrm{a}_{2}-\mathrm{a}_{1}=\frac{9}{16}-\frac{3}{4} \quad \mathrm{d}=\frac{-3}{16}\)
\(\mathrm{d}=\mathrm{a}_{3}-\mathrm{a}_{2}=\frac{27}{64}-\frac{9}{16} \quad \mathrm{d}=\frac{-9}{64}\)
Here the value of ‘d’ is not constant.
∴ The given list of numbers does not form an A.P.

(iii) Cost of Digging for the
KSEEB SSLC Class 10 Maths Solutions Chapter 1 Arithmetic Progressions Ex 1.1 1
d = a2 – a1 = 200 – 150 = 50
d = a3 – a2 = 250 – 200 = 50
Here value of ‘d’ is constant.
This forms an AP.

iv) Amount of money deposited in the
d = a2 – a1 = 11,664 – 10.800 = Rs. 864
d = a3 – a2 = 12,597,12 – 11.664 = Rs. 933.12
Here value of ‘d’ is not constant.
∴ The given list of numbers does not form an AP.

KSEEB Solutions For Class 10 Maths Arithmetic Progression Question 2.
Write first four terms of the AP, when the first term ‘a’ and the common difference’d’ are given as follows:
i) a = 10, d = 10
ii) a = -2, d = 0
iii) a = 4, d = -3
iv) a = -1, d = \(\frac{1}{2}\)
v) a = -1.25, d = 0.25
Solution:
i) a = 10, d = 10
First four terms are,
a, a + d, a + 2d, a + 3d
10, 10 + 10, 10 + 20, 10 + 30
10. 20, 30, 40.

ii) a = -2, d = 0
First four terms are,
a, a + d, a + 2d, a + 3d
-2. -2 + 0, -2 + 0, -2 + 0
-2. -2. -2, -2

iii) a = 4, d = -3
First four terms are,
a, a + d, a + 2d, a + 3d
4, 4 – 3, 4 – 2 × 3, 4 – 3 ×3
4, 1, -2, -5

iv) a = -1, d = \(\frac{1}{2}\)
First four terms are,
a, a + d, a + 2d, a + 3d
\(-1,-1+\frac{1}{2},-1+2 \times \frac{1}{2},-1+3 \times \frac{1}{2}\)
\(-1,-\frac{1}{2}, 0, \frac{1}{2}\)

v) a = -1.25, d = 0.25
First four terms are,
a, a + d, a + 2d, a + 3d
-1.25, -1.25 + 0.25, -1.25 + 2 × 0.25, -1.25 + 3 ×0.25
-1.25, -1, -0.75, -0.50

Arithmetic Progression Exercise 1.1 KSEEB Solutions Question 3.
For the following APs, write the first term and the common difference :
(i) 3, 1,-1,-3, ………..
(ii) -5, -1, , 7, …………
(iii) \(\frac{1}{2}, \frac{1}{2}, \frac{1}{2}, \frac{1}{2}, \ldots \ldots\)
(iv) 0.6, 1.7, 2.8, 3.9, ………..
Solution:
(i) 3, 1,-1,-3
First term, a = 3,
Common difference, d = a2 – a1 = 1 – 3
d = -2.

(ii) -5, -1, 3, 7, ……….
First term, a = -5,
Common difference, d = a2 – a1 = -1 – (-5)
d = -1 + 5
d = 4.

(iii) \(\frac{1}{2}, \frac{1}{2}, \frac{1}{2}, \frac{1}{2}, \ldots \ldots\)
First term, \(\mathrm{a}=\frac{1}{2}\)
Common difference, d = a2 – a1
\(=\frac{1}{2}-\frac{1}{2}\)
d= 0

iv) 0.6, 1.7, 2.8, 3.9
First term, a = 0.6,
Common difference, d = a2 – a1 = 1.7 – 0.6
d= 1.1

Arithmetic Progression Class 10 Exercise 1.1 Solutions Question 4.
Which of the following are APs? If they form an AP, find the common difference ’d’ and write three more terms.
i) 2, 4, 8, 16, …….
ii) \(2, \frac{5}{2}, 3, \frac{7}{2}, \ldots \ldots\)
iii) -1.2, -3.2, -5.2, -7.2
iv) -10, -6, -2, 2, …….
v) \(3,3+\sqrt{2}, 3+2 \sqrt{2}, 3+3 \sqrt{2} \ldots \ldots\)
vi) 0.2, 0.22, 0.222, 0.2222, ………
vii) 0, -4, -8, -12, ………
viii) \(-\frac{1}{2},-\frac{1}{2},-\frac{1}{2},-\frac{1}{2}, \ldots \ldots\)
ix) 1, 3, 9, 27, ……..
x) a, 2a, 3a, 4a, ………..
xi) a, a2, a3, a4, ………..
xii) \(\sqrt{2}, \sqrt{8}, \sqrt{18}, \sqrt{32} \ldots\)
xiii) \(\sqrt{3}, \sqrt{6}, \sqrt{9}, \sqrt{12}\)
xiv) 11, 32, 52, 72,
xv) 11, 52, 72, 73, ……….
Solution:
i) 2, 4, 8, 16…………
d = a2 – a1= 4 – 2 = 2
d = a2 – a1 = 8 – 4 = 4
Here ‘d’ is not constant.
∴ the given List of numbers does not form an AP.

ii) \(2, \frac{5}{2}, 3, \frac{7}{2}, \ldots \ldots\)
\(\mathrm{d}=\mathrm{a}_{2}-\mathrm{a}_{1}=\frac{5}{2}-\frac{2}{1}=\frac{5-4}{2}=\frac{1}{2}\)
\(\mathrm{d}=\mathrm{a}_{3}-\mathrm{a}_{2}=\frac{3}{1}-\frac{5}{2}=\frac{6-5}{2}=\frac{1}{2}\)
Here ‘d’ is constant.
∴ the given List of numbers form an AP.
Next three terms are: \(4,\frac{9}{2}, 5\)

iii) -1.2, -3.2. -5.2, -7.2
d = a2 – a1 = -3.2 – (-1.2) = -3.2+ 1.2
d = -2
d= a3 – a2 = -5.2 – (-3.2) = -5.2 + 3.2
d = -2
Here d is constant.
∴ This is an Arithmetic Progression.
Next three terms are:
-7.2 – 2 = -9.2
-9.2 – 2 = -11.2
-11.2 – 2 = -13.2
-11.2-2 = -13.2

iv) -10. -6. -2, 2,..,…
d = a2 – a1 = -6 – (- 10) = -6 + 10
d = 4
d = a3 – a2= -2 – (-6) = -2 + 6
d = 4
Here d is constant.
∴ Given set of numbers form an A.P.
Further three terms are
2 + 4 = 6
4 + 4 = 8
8 + 4 = 12

v) \(3,3+\sqrt{2}, 3+2 \sqrt{2}, 3+3 \sqrt{2} \ldots \ldots\)
d = a2 – a1 = \(=3+\sqrt{2}-3\)
\(\mathrm{d}=\sqrt{2}\)
d = a3 – a2 = \(=3+2 \sqrt{2}-(3+\sqrt{2})\)
\(=3+2 \sqrt{2}-3+\sqrt{2}\)
\(\mathrm{d}=\sqrt{2}\)
Here ‘d’ is constant
∴ Given set of numbers forms an A.P.
Further three terms are:
\(3+3 \sqrt{2}+\sqrt{2}=3+4 \sqrt{2}\)
\(3+4 \sqrt{2}+\sqrt{2}=3+5 \sqrt{2}\)
\(3+5 \sqrt{2}+\sqrt{2}=3+6 \sqrt{2}\)

vi) 0.2. 0.22. 0.222. 0.2222
d = a2 – a1 = 0.22 – 0.2
d = 0.02
d = a3 – a2 = 0.222 – 0.22
d = 0.002
Here d is not constant,
∴ Given set of numbers do not form an A.P.

vii) 0,-4, -8, -12, …………
a1 = 0, a2 = -4
d = a2 – a1 = -4 – 0
d = -4
d = a3 – a2 = -8 – (-4) = -8 + 4
d = -4
Here d is constant.
∴ Given set of numbers form an AP.
Further three terms are:
-12 – 4 = -16
-16 – 4 = -20
-20 – 4 = -24
∴ Next three terms are: -16. -20, -24.

viii) \(-\frac{1}{2},-\frac{1}{2},-\frac{1}{2},-\frac{1}{2}, \ldots \ldots\)
\(a_{1}=-\frac{1}{2}, a_{2}=-\frac{1}{2}\)
\(\mathrm{d}=\mathrm{a}_{2}-\mathrm{a}_{1}=-\frac{1}{2}-\left(-\frac{1}{2}\right)\)
\(d=-\frac{1}{2}+\frac{1}{2}=0\)
\(\mathrm{d}=\mathrm{a}_{3}-\mathrm{a}_{2}=-\frac{1}{2}-\left(-\frac{1}{2}\right)\)
\(\mathrm{d}=-\frac{1}{2}+\frac{1}{2}=0\)
Here d is constant.
∴ Given set of numbers form an AP.
Next three terms are:
\(-\frac{1}{2}+0=-\frac{1}{2}\)
\(-\frac{1}{2}+0=-\frac{1}{2}\)
\(-\frac{1}{2}+0=-\frac{1}{2}\)
∴ Next three terms are: \(-\frac{1}{2},-\frac{1}{2},-\frac{1}{2}\)

ix) 1, 3, 9, 27
d = a2 – a1 = 3—1
d = 2
d = a3 – a2
d = 6
Here ‘d’ not is constant
∴ Given set of numbers do not form an A.P.

x) a, 2a, 3a,4a
a1= a a2 = 2a
d = a2 – a1 = 2a-a
d = a
d = a3 – a2 = 3a-2a
d = a
Here d’ is constant.
∴ Given set of numbers form an A.P.
Further three terms are :
4a + a = 5a
5a + a = 6a
6a + a = 7a
∴ Next three terms are: 5a, 6a, 7a.

xi) a, a2, a3, a4
a1 = a. a2 = a2
d = a2 – a1 = a2 – a
d= a(a – 1)
d = a3 – a2 = a3 – a2
d = a2 (a – 1)
Here ‘d is not constant.
∴ Given set of numbers do not form an A.P.

xii) \(\sqrt{2}, \sqrt{8}, \sqrt{18}, \sqrt{32} \ldots\)
\(a_{1}=\sqrt{2}, a_{2}=\sqrt{8}\)
\(\mathrm{d}=\mathrm{a}_{2}-\mathrm{a}_{1}=\sqrt{8}-\sqrt{2}\)
\(\mathrm{d}=2 \sqrt{2}-\sqrt{2}=\sqrt{2}\)
\(\mathrm{d}=\mathrm{a}_{3}-\mathrm{a}_{2}=\sqrt{18}-\sqrt{8}\)
\(\mathrm{d}=3 \sqrt{2}-2 \sqrt{2}=\sqrt{2}\)
Here d’ is constant.
∴ Given set of numbers form an A.P.
Succeding three terms are :
\(\sqrt{32}+\sqrt{2}=4 \sqrt{2}+\sqrt{2}=5 \sqrt{2}\)
\(5 \sqrt{2}+\sqrt{2}=6 \sqrt{2}\)
\(6 \sqrt{2}+\sqrt{2}=7 \sqrt{2}\)
\(5 \sqrt{2}, 6 \sqrt{2}, 7 \sqrt{2}\)
∴ Next three terms are: \(\sqrt{50}, \sqrt{72}, \sqrt{98}\)

xiii) \(\sqrt{3}, \sqrt{6}, \sqrt{9}, \sqrt{12}\)
\(a_{1}=\sqrt{3}, a_{2}=\sqrt{6}\)
\(\mathrm{d}=\mathrm{a}_{2}-\mathrm{a}_{1}=\sqrt{6}-\sqrt{3}\)
\(\mathrm{d}=\mathrm{a}_{3}-\mathrm{a}_{2}=\sqrt{9}-\sqrt{6}\)
\(\mathrm{d}=3-\sqrt{6}\)
Here ‘d is not constant.
∴ Given set of numbers do not form an A.P.

xiv) 11,32,52, 72, …………
1, 9, 25, 49, ………….
a1 = 1, a2 = 9
d = a2 – a1 = 9 – 1
d = 8
d = a3 – a2 = 25 – 9
d = 16
Here ‘d’ is not constant,
∴ Given set of numbers do not form an A.P.

xv) 11, 52, 72, 73, ……….
1, 25. 49, 73, ……….
a1 = 1. a2 = 25, a3 = 49, a4 = 73
d = a2 – a1 = 25 – 1
d = 24
d = a3 – a2 = 49 – 25
d = 24
d = a4 – a3 = 73 – 49
d = 24
Here ‘d’ is constant.
∴ Given set of numbers form an A.P.
Succeeding three terms are:
73 + 24 = 97
97 + 24 = 121
121 + 24 = 145
∴ Next three terms are: 97, 121, 145.

We hope the given KSEEB SSLC Class 10 Maths Solutions Chapter 1 Arithmetic Progressions Ex 1.1 will help you. If you have any query regarding Karnataka SSLC Class 10 Maths Solutions Chapter 1 Arithmetic Progressions Exercise 1.1, drop a comment below and we will get back to you at the earliest.

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