The Scheme of the Examination will be conducted in three tiers as indicated below:
1st Tier — Written Examination (Objective Multiple Choice Type)
2nd Tier — Main Written Examination (Objective Multiple Choice Type)
3rd Tier — Personality Test /Interview or Skill Test, where applicable Candidates opting for post of Sub-Inspector in CPOs will be required to undergo Physical Endurance Test (PET)/Medical Examination at any convenient time after declaration of result of Tier I.
Probability, Probability Distributions, Binomial, Poisson, Normal, Exponential.
Compilation, classification, tabulation of Statistical Data, Graphical presentation of data.
Measures of central tendency, measures of dispersion, measures of association and contingency, scatter diagram, correlation coefficient, rank correlation coefficient and linear regression analysis ( for two or more variables ) excluding partial correlation coefficients.
Concept of Population, random sample, parameters, statistics, sampling distribution of x properties of estimators and estimation of confidence intervals.
Principles of sampling, simple random sampling, stratified sampling, systematic sampling etc., Sampling and non-sampling errors, type-I and type-II errors.
Concepts of Hypothesis – Null and alternate, Testing of hypothesis for large samples as well as small samples including Chi-square tests ( Z, t, F, 2 tests ).
Index Numbers, Time series analysis – components of variation and their estimation.
GENERAL ECONOMICS
INDIAN ECONOMICS AND GENERAL STATISTICS
Algebra: Algebra of sets, relations and functions, Inverse of a function, equivalence relation.The system of complex numbers, De Moivere’s Theorem and its simple applications. Relation between roots and coefficients of a polynomial equation – Evaluation of symmetric function of roots of cubic and biquadratic equation.
Algebra of Matrices: Determinants, Simple properties of determinants, Multiplication of determinants of orders two and three, Singular and non-singular matrices. Inverse of a matrix, Rank of a matrix and application of matrices to the solution of linear equations ( in three unknowns ).
Convergence of sequences, and series, tests of convergence of series with positive terms, Ratio, Root and Gauss tests.
Analytic Geometry: Straight lines, Circles, System of circles, parabola, ellipse and hyperbola in standard form and their elementary properties, Classification of curves second degree.
Differential Equation: First order differential equation. Solution of Second and higher order linear differential equations with constant coefficients and simple applications.
Differential and Integral Calculus: Limit, continuity and differentiability of functions, successive differentiation, derivatives of standard functions, Rolle’s and Mean-value Theorems, Maclaurins and Taylor’s series ( without proof) and their applications, Maxima and Minima of functions of one and two variables. Tangents and Normals, Curvature, Partial differentiation, Euler’s theorem for homogeneous function, Tracing of curves.
Standard methods of integration, Riemann’s definition of definite integral, fundamental theorem of integral calculus, quadrature, rectification, volumes and surface area of solids of revolution.
Statistics: Frequency distributions, Measures of central tendency, measures of dispersion, Skewness and Kurtosis, Random variables and distribution function, Discrete distributions, Binomial and Poisson distribution, continuous distributions, Rectangular, Normal and Exponential distributions, Principles of least squares, correlation and regression, Random Sampling, random numbers, Sampling of attributes, Large Sample tests for mean and proportion, Tests of significance based on t, F and Chi-square distributions.
This paper will cover all the subjects of commerce ordinarily taught at the B.Com. or similar degree courses of Indian Universities. Specifically, it will include the following subjects:
Accountancy: Conceptual framework, Income measurement, Final accounts, Accounting for partnership firms, Hire-purchase accounting, Corporate accounting ( Issue, forfeiture and re-issue of shares ).
Business Organisation: Business objectives, Business environment, Business entrepreneurship ( including location, choice of form of business and growth strategies ),
Business operations including finance, production, marketing and human resource development.
Management: Concept of management, Planning, Organising, Leading and Controlling.
Micro-economics: Price-mechanism, Theory of consumer behaviour, Elasticity of demand, Production function, Theory of costs, Market structures, Price-determination under perfect competition and monopoly.
Indian Economics: Issues involved in planning for economic development, Sectoral analysis of Indian economy including agriculture, industry and foreign trade.
Business Statistics: Analysis of Univariate data involving measurement of Central tendency and dispersion, correlation and regression analysis, index numbers, analysis of time-series, Theory of probability.
Business Law: Indian Contract Act, 1872, Sale of Goods Act, 1930, Partnership Act, 1932 and Negotiable Instruments Act, 1881.
Company Law: Kinds of companies, matters involving incorporation of company, shares and share capital and matters relating to issue and transfers of shares, members of a company, management of a company, meetings and resolutions, winding up of a company.
Cost accounting: Procedures involved in cost accounting, marginal costing, cost-volume profit analysis, Budgetary control, Standard costing.
Auditing: Meaning and objects of auditing, Types of audit, Audit process.
Income Tax: Basic concepts, Residence and tax liability, heads of income.
NOTE – 1: In Numerical Aptitude paper for Visually Handicapped candidates of 40% and above visual disability and opting for SCRIBE there will not be any component of Map/Graphs/Statistical Data/ Diagrams/Figures/Geometrical problems.
NOTE – 2: The Commission shall have the discretion to fix different minimum qualifying standards in each subject of the Tier-I Examination taking into consideration among others, category-wise vacancies and category-wise number of candidates. Only those candidates, who have scored above the cut off marks fixed by the Commission would be required to appear in the Tier –II Examination.
NOTE:3 Tier-I will be used to screen the candidates for appearing in Tier-II for various papers which will be specifically required for different groups of posts. However, marks of such screened candidates in Tier-I will be taken into account for final ranking of candidates for selecting them for the interview and also final selection.
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