The Syllabus

Part-A
General Knowledge of Rajasthan -40 Questions
History & Culture of Rajasthan:
Historical Rajasthan: - Pre and Proto-historical sites of Rajasthan. Important
historical centers of early Christian era. Prominent rulers of major Rajput dynasties of
Rajasthan and their achievements & contributions – Guhilas- Sisodiyas, Chauhans,
Rathores and Kachchawas.
Emergence of Modern Rajasthan: Agents of Social Awakening in Rajasthan during
19th and 20th Centuries. Political Awakening: role of newspapers and political institutions.Prajamandal movement in various princely states in 20th Century. Integration of Rajasthan.
Social Life in Rajasthan: Fairs and festivals; Social customs and traditions; attires
and ornaments, Personalities of Rajasthan.
Art of Rajasthan: Architectural tradition of Rajasthan- temples, forts and palaces
from ancient to modern period; various schools of paintings which developed during
medieval period; Classical Music and Classical Dance, Folk Music & Instruments; Folk
Dances & Drama.
Religious Life: Religious communities, Saints and Sects in Rajasthan. Folk deities of
Rajasthan.
Language & Literature: Dialects of Rajasthani Language, Literature of Rajasthani
language and Folk literature.
Geography of Rajasthan:
Major physiographic divisions of Rajasthan. Drainage characteristics. Weather
conditions. Vegetation, forest and Soil, Natural Resources, Minerals, livestock population
of Rajasthan. Wild life and its conservation. Environmental Conservation, Droughts and
Desertification, Major Irrigation Projects. Agricultural Crops and Problems. Population
growth and Tribes of Rajasthan, Handicrafts and Tourism. Power resources with nonconventional energy sources.
New Schemes & Initiatives taken recently for welfare & development in Rajasthan.

PART-B

Collection, Classification, Tabulation and diagrammatic presentation of data. Measures of
Central Tendency: Mean, Mode, Median, Harmonic mean. Geometric mean, Properties,
applications, merits and demerits. Measures of Dispersion: Range, mean deviation, standard deviation, variance their applications, properties, merits and demerits. Moments: Raw moments, central moments, Factorial moments. Skewness and Kurtosis: Various measures of Skewness and Kurtosis, their properties.
Correlation and Regression: Karl Pearson and rank correlation coefficients. Multiple and partial correlations (for three variables), Linear regression, fitting, regression coefficients, properties, angle between two lines of regression.
Probability: Classical and Axiomatic approaches of probability, Conditional Probability,
Bayes theorem, Random variables and Mathematical expectation with applications.
Probability Distributions: Discrete distributions: Uniform, Poisson, exponential,
rectangular, geometric, hypergeometric, power series distributions, properties and
applications. Continuous Distributions: Normal, uniform, Beeta, Gamma. Exponential,
Weibul, Logistic, Cauchy distributions, properties and applications, central limit theorem.
Sampling distributions: Chi-square, t and F distribution (central and non-central),
properties and applications.
Multivariate Analysis: Multivariate Normal Distribution, Hotelling’s T2
and Discriminant Analysis, Wishart distribution and its properties.
Theory of Estimation: Point and Interval estimation, Properties of estimator, Methods of Estimation- Least Square and Maximum Likelihood estimators and their properties.
Crammer- Rao Inequality, Blackwell theorem, confidence intervals and limits for large
samples.Testing of Hypothesis: Concept of Hypothesis, Types of error in testing, Critical Region and level of significance, Neyman Pearson Lemma and two tailed tests based on small and large samples, likelihood ratio test.
Non-Parametric Tests: Run, Sign, Median, and Kolmogorov Smirnov one sample test,
Mann- Whitney- Wilcoxon U- test.
Design of Sample Survey: Sampling Unit, Sampling frame, Sampling fraction, Samplingwith and without replacement, Population Parameter and Sample estimator, efficiency,accuracy and precision, sampling and non sampling errors, Simple random sampling,Probability proportion to Size with replacement, Sampling with varying probability and without replacement, stratified random sampling, systematic sampling, cluster sampling, multistage sampling, ratio and regression methods of estimation.Design of Experiments: Analysis of variance for one way and two way classified data,
Principles of Designs, Completely Randomised Designs, Randomised Block Designs, Latin Square Designs, 2n - factorial experiments, Split plot and Strip plot Design, BIBD, Complete and Partial confounding.
Time Series Analysis: Components, Measurements of Trend, Seasonal, Cyclical and
irregular variations, Periodogram analysis.
Index Number: Uses, types and limitations of index numbers, construction of index
numbers, simple and weighted aggregated method, Simple and weighted average price
relatives, Chain base index numbers, Base shifting, Splicing and Deflating of Index
numbers, Cost of Living index numbers.Vital Statistics: Collection of vital statistics- Measures of Mortality, Law of mortality, fitting of Makeham’s law, Fertility rates, life tables, Abridged life-table (King’s method),Population growth.
Statistical Organization of India: CSO, NSSO, National Income Statistics, Population
Census, Agricultural Census, Livestock Census. Micro Economics: Consumer Behaviour- Cardinal and Ordinal Approach, Concept ofelasticity, Producer equilibrium, Price determination in Perfect competition, Monopoly Monopolistic Competition, Pareto optimal conditions.Macro Economics: National Income and Methods of measuring national income,Consumption and Investment function, Money supply, High powered Money and Money multiplier Central and Commercial banks.
Public finance: Role of Government in organised society, Private goods, Public goods, Merit goods, Market failure, Budgetary deficits, GST- Fiscal Sector reforms.International Economics: Meaning and Components of Balance of payments, Trends in Exports and Imports, Composition of Trade, Recent Foreign Trade policy.
Economics of Growth and Development: Factors affecting growth. Poverty, inequality of income, Human development Index, Sustainable development. Indian Economy: Agriculture reforms, Recent Industrial policy, Govt. schemes of
unemployment and poverty alleviation. Impact of liberalization, Globalization and
privatization on Indian Economy. Recent Monetary and Fiscal Policy, Niti Aayog, Covid 19- Impact on Indian Economy. Algebra: Relation between roots and coefficients, repeated roots, elementary symmetric functions, Algebra of Matrices, Rank and determinant of Matrices. Eigen values and Eigen Vectors.
Calculus: Limits, Continuity properties of continuous function in closed intervals,
differentiability, mean value theorem, Taylor’s theorem, curvature, asymptotes, Partial
differentiation and its applications. Rectification, quadrature, volume and surface of
revolution.
Differential Equations: Linear and non-linear differential equation of first order, linear differential equation with constant coefficients, homogeneous differential equations. Partial differential equations of first and second order.
Complex Analysis: Analytic function, Cauchy Riemann equations, Cauchy’s theorem,
Cauchy’s integral formulae, Power series, Laurent’s Series, Singularities. Beta- Gamma
functions.
Special Functions and Integral Transforms: Hypergeometric functions, Legendre’s
Polynomials, Bessel’s function, Recurrence relations, orthogonal properties and generating functions, Laplace transforms and inverse Laplace transforms.
Fundamentals of IT and Computer Applications: Basic knowledge of Word Processing Software, formatting, alignment, graphs and charts,headers and footers, various tabs and options. Basics of Spreadsheet, Manipulation of cells,Formulas and Functions, Editing of Spread Sheet, Printing of Spread Sheet. Basics of Presentation Software, templates, wizards, slide show, building a presentation, various tabs
and options. Accounting software basics. Basic knowledge of internet, internet security,
types of cyber threats, digital signatures, secure seals, secure browsing. Digital payments
and platforms, online banking, online payment modes, mobile wallets, E-commerce basics. GIS basics, e-governance in Rajasthan.