Exam Scheme

Note :-

1. Exam Duration: 2.30 Hours
2. The competitive examination shall carry 150 marks and 150 questions of Multiple Choice Type questions.
3. There shall be one paper.
4. Negative marking shall be applicable in the evaluation of answers. For every wrong answer one-third of the marks prescribed for that particular question shall be deducted. (Wrong answer shall mean an incorrect answer or multiple answers.)
5. Each question has five options marked as 1, 2, 3, 4, 5. You have to darken only one circle (bubble) indicating the correct answer on the Answer Sheet using BLUE BALL POINT PEN.
6. It is mandatory to fill one option for each question.
7. If you are not attempting a question then you have to darken the circle '5'. If none of the five circles is darkened, one third (1/3) part of the marks of question shall be deducted.
8. After solving question paper, candidate must ascertain that he/she has darkened one of the circles (bubbles) for each of the questions. Extra time of 10 minutes beyond scheduled time, is provided for this.
9. A candidate who has not darkened any of the five circles in more than 10% questions shall be disqualified.

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Syllabus

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1. Part-A

1. Unit-I: History, Culture & Heritage of Rajasthan

1. Pre & early history of Rajasthan.
2. Age of Rajputs: Major dynasties of Rajasthan and the achievements of prominent rulers.
3. Emergence of Modern Rajasthan:
   1. factors of socio-political awakening of 19th century
   2. Peasants and tribal movements of 20th century
   3. Political struggle of 20th century and the integration of Rajasthan.

4. Visual Art of Rajasthan:
   1. Architecture of forts and temples of Rajasthan
   2. Sculpture traditions of Rajasthan and various schools of painting of Rajasthan.

5. Performing Arts of Rajasthan:
   1. Folk music and musical instruments of Rajasthan
   2. Folk dance and folk drama of Rajasthan.

6. Various religious cults, saints and folk deities of Rajasthan.
7. Various dialects and its distribution in Rajasthan; literature of Rajasthani language.

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2. Unit-II: Geography, Natural Resource & Socio-Economic Development of Rajasthan

1. Geography of Rajasthan:
   1. Broad physical features- Mountains, Plateaus, Plains & Desert
   2. Major rivers and lakes
   3. Climate and Agro-climatic regions
   4. Major soil types and distribution
   5. Major forest types and distribution
   6. Demographic characteristics
   7. Desertification, Droughts & Floods, Deforestation, Environmental Pollution and Ecological Concerns.

2. Economy of Rajasthan:
   1. Major Minerals- Metallic & Non-Metallic
   2. Power Resources- Renewable and Non Renewable
   3. Major agro based industries- Textile, Sugar, Paper & Vegetable oil
   4. Poverty and Unemployment
   5. Agro food parks.

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3. Unit-III: Current Events and Issues of Rajasthan and India

1. Important Persons, Places and Current events of the State.
2. National and International events of importance.
3. New Schemes & Initiatives taken recently for welfare & development in Rajasthan.

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4. Part-B

1. Descriptive Statistics:

1. Classification, tabulation and frequency distribution.
2. Diagramatic and Graphical Representation: Bar diagram, Pie chart, histogram, frequency polygon, frequency curve.
3. Measures of central tendency: Arithmetic mean, geometric mean, harmonic mean, median, mode, quartiles, deciles and percentiles.
4. Measurers of Dispersion: Range, quartile deviation, mean deviation standard deviation, variance, co-efficient of variation, moments, measures of skewness and kurtosis.

2. Probability:

1. Classical and Axiomatic approaches of probability, Conditional Probability, Bayes theorem, Simple problems on Probability.
2. Random variable and Mathematical Expectation with applications, Chebychev's inequality.
3. Probability distributions: Probability mass function, Probability density function and their properties.
4. Concept of moment generating function, cumulant generating function and characteristic function.

3. Theoretical distributions:

1. Discrete probability distributions: Bernoulli, binomial, Poisson, negative binomial, geometric and hyper geometric.
2. Continuous probability distributions: Rectangular, normal, gamma and beta type one and type two and Cauchy.
3. Sampling distributions: Chi-square, t-distribution, F-distribution their applications and inter-relationship.

4. Correlation, Regression and Multivariate Analysis:

1. Karl-Pearson's co-efficient of correlation and Speareman's rank correlation co-efficient, simple linear regression, method of least squares.
2. Multivariate Normal Distribution, Hotelling's T² distribution. Discriminant, Principal Component and Factor Analysis. Wishart's distribution and its properties.

5. Sampling methods:

1. Simple random sampling with and without replacement, stratified random sampling, cluster sampling, systematic sampling, sampling for proportions.

6. Experimental Design:

1. Concept of analysis of variance (ANOVA) for one way and two-way classified data, uniformity trials, principles of design of experiments.
2. Completely Randomized Design (CRD), Randomized Block Design (RBD), Latin Square Design (LSD), missing plot technique, 2² and 2³ factorial experiments in RBD, complete and partial confounding.

7. Theory of estimation and Testing of Hypothesis:

1. Point and interval estimation, properties of estimators.
2. Methods of estimation: method of least squares and maximum likelihood estimation. Confidence internal and confidence limits.
3. Concept of hypothesis, types of errors, Neyman-Pearson's lemma, parametric tests for large and small samples.
4. Non-parametric tests: run, sign and median.

8. Time Series Analysis and Index Number:

1. Components, Measurements of Trend, Seasonal, Cyclical and irregular variations, Autocorrelation, Auto regression, Periodogram.
2. Uses, types, tests and limitations of index numbers, construction of index numbers, simple and weighted aggregate method, Simple and weighted average price-relatives, Chain base index numbers, base shifting, Splicing and Deflating of Index numbers, cost of Living index numbers.

9. Agriculture Statistics and Statistical Organization in India:

1. Importance of Statistics in Agriculture, Agricultural statistical system in India, Agricultural Census, Livestock Census, Land use statistics. Agriculture Survey.
2. National Agricultural Production Index. Crop production Index, CSO, NSSO, National Income Statistics, Population Census.

10. Interpolation, Extrapolation and Numerical Integration:

1. Finite differences, divided differences, Newton's forward and backward interpolation, Newton's divided difference interpolation, Lagrange's interpolation, Starling's interpolation and Bessel's interpolation formulae, Simpson's 1/3^rd and 3/8^th rule of numerical integration.

11. Linear Programming: 1. Graphical method of solution of linear programming in two variables, convex sets and their properties, simplex method, Assignment problems, Transportation problems.

12. Matrices:

1. Various types of matrices, their basic operations and properties. Rank of a Matrix; Invertible matrices and their inverse.
2. Determinants: Determinant of a square matrix and their properties. Solution of system of linear equations in two or three variables using inverse of a matrix.
3. Theory of equations: Relation between the roots and coefficients of general polynomial equation in one variable. Transformation of equations. Descartes' rule of signs.

13. Calculus: 1. Partial derivatives, curvature, asymptotes, envelopes and evolutes, maxima and minima of functions up to two variables, Beta and Gamma functions, double and triple integrals.

14. Advanced Calculus: 1. Mean value theorems (Rolle's, Lagrange's, Taylor's theorems), sequence and series with convergence properties.

15. Ordinary and Partial differential equations:

1. Linear differential equations of first order and higher degree, Clairaut's form, Linear differential equations of constant coefficients, ordinary homogeneous differential equations, Linear differential equations of second order with variable coefficients.
2. Partial differential equations of first order, solution by Lagrange's method.

16. Integral transforms and Special functions:

1. Hypergeometric functions, Legendre's polynomials, Bessel's functions. Recurrence relations and orthogonal properties.
2. Laplace transform, inverse Laplace transform. Fourier sine and cosine transforms. Convolution theorem.