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TIER-I OF THE EXAMINATION :General Intelligence & Reasoning:AnalogiesSimilarities and differencesSpatial visualizationSpatial orientationProblem-solvingAnalysisJudgmentDecision makingVisual memoryDiscriminationObservationRelationship conceptsArithmetical reasoning and figural classificationArithmetic number seriesNon-verbal seriesCoding and decodingStatement conclusionSyllogistic reasoningGeneral Awareness :SportsHistoryCultureGeographyEconomic SceneGeneral PolityIndian ConstitutionScientific ResearchNumerical Aptitude (The standard of the questions will be of 10+2 level):Whole numbersDecimals and fractionsRelationships between numbersEnglish Comprehension:Candidates’ ability to understand correct English, his basic comprehension and writing ability, etc. would be tested.TIER-II OF THE EXAMINATION :Paper-I:Arithmetic Ability :Number SystemsComputation of Whole NumbersDecimals and FractionsRelationship between NumbersFundamental Arithmetical OperationsPercentageRatio and ProportionAverageInterestProfit and LossDiscountUse of Table and GraphsMensurationTime and DistanceRatio and TimePaper-IIEnglish Language & ComprehensionError recognitionFill in the blanks (using verbs, preposition, articles etc)VocabularySpellingsGrammarSentence StructureSynonymsAntonymsSentence CompletionPhrases and Idiomatic use of Words, etc.There will be a question on passages and comprehension of passages also. (The standard of the questions will be of 10+2 level).Paper-III :Commerce/Mathematics/Statistics/Economics for Investigator Grade-II, for Ministry of Statistics & Programme Implementation and Compiler for Registrar General of India, Ministry of Home Affairs.STATISTICSProbability, Probability Distributions, Binomial, Poisson, Normal, ExponentialThe compilation, classification, tabulation of Statistical Data, Graphical presentation of dataMeasures 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 coefficientsConcept of Population, random sample, parameters, statistics, the sampling distribution of x properties of estimators, and estimation of confidence intervalsPrinciples of sampling, simple random sampling, stratified sampling, systematic sampling, etc., Sampling and non-sampling errors, type-I, and type-II errorsConcepts of Hypothesis – Null and alternate, Testing of hypothesis for large samples as well as small samples including Chi-square tests ( Z, t, F, x2 tests )Index Numbers, Time series analysis – components of variation and their estimationECONOMICSGENERAL ECONOMICSDemand and Supply Analysis, including Laws and Interaction of Demand and Supply.Production Function and Laws of ReturnsCommodity Pricing – Characteristics of various Market Forms and Price Determination under such Market FormsTheory of Factor Pricing – Rent, Wage, Interest and ProfitTheory of Employment – Classical and Neo-classical ApproachKeynesian Theory of Employment – Principles of Effective Demand. Meaning and Importance of Investment, Relation between Saving and Investment, Multiplier Effect and the process of Income Generation, Post Keynesian DevelopmentNature and Functions of Money, Value of Money, Fluctuations in the value of Money – Inflation and Deflation, Monetary Policy, Index NumberInternational Trade-Free Trade and Protection, Theories of International TradeForeign Exchange – Determination of the rate of Exchange – Purchasing Power Parity theory and Balance of Payment TheoryPublic Finance – Nature. Scope and importance of Public FinanceTaxation – Meaning, Classification, and Principles of Taxation, Incidence of TaxationDeficit FinancingFiscal PolicyINDIAN ECONOMICS AND GENERAL STATISTICSStatistical Investigation – Meaning and Planning of Investigation.Collection of data and editing of data.Types of sampling.Schedule and questionnaire.Presentation of data – classification, tabulation, etc.Measures of Central Tendency.National Income and Accounting – Estimation of National Income, Trends in National Income, Structural changes in the Indian Economy as seen in National Income Data.Agricultural sector – Agricultural Development during Plan Period, Rural Credit, Agricultural Price Policy, Rural Development Co-operation, and Panchayati Raj.Industrial Policy and Industrial Development.Problems of Economic Development – Indian Planning – Objectives, Techniques and its evolution, Five Year Plans, and Role of National Development Council.Profile of Human Resources – Population and Economic Development, Demographic Profile of India, Nature of Population Problem – Poverty, Inequality, Unemployment Problem, Labour Problem, Population Control, and Government Policy.New Economic Policy and Welfare Schemes.Indian Public Finance – Indian Revenue, Foreign Aid.Indian Banking and Currency system.MATHEMATICSAlgebra: 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. The relation between roots and coefficients of a polynomial equation – Evaluation of the symmetric function of roots of cubic and biquadratic equationAlgebra of Matrices: Determinants, Simple properties of determinants, Multiplication of determinants of orders two and three, Singular and non-singular matrices. The inverse of a matrix, Rank of a matrix, and application of matrices to the solution of linear equations ( in three unknowns ). The convergence of sequences, and series, tests of convergence of series with positive terms, Ratio, Root, and Gauss testsAnalytic Geometry: Straight lines, Circles, System of circles, parabola, ellipse and hyperbola in standard form and their elementary properties, Classification of curves second degreeDifferential Equation: First order differential equation. The solution of Second and higher-order linear differential equations with constant coefficients and simple applicationsDifferential and Integral Calculus: Limit, continuity, and differentiability of functions, successive differentiation, derivatives of standard functions, Rolle’s and Mean-value Theorems, Maclaurin’s, 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 curvesStandard methods of integration, Riemann’s definition of the definite integral, fundamental theorem of integral calculus, quadrature, rectification, volumes, and surface area of solids of revolutionStatistics: 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 distributionsCOMMERCEThis paper will cover all the subjects of commerce 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 the form of business and growth strategies ), Business operations including finance, production, marketing, and human resource developmentManagement: Concept of management, Planning, Organising, Leading and ControllingMicro-economics: Price-mechanism, Theory of consumer behavior, Elasticity of demand, Production function, Theory of costs, Market structures, Price-determination under perfect competition, and monopolyIndian Economics: Issues involved in planning for economic development, Sectoral analysis of Indian economy including agriculture, industry, and foreign tradeBusiness Statistics: Analysis of Univariate data involving measurement of Central tendency and dispersion, correlation and regression analysis, index numbers, analysis of time-series, Theory of probabilityBusiness Law: Indian Contract Act, 1872, Sale of Goods Act, 1930, Partnership Act, 1932 and Negotiable Instruments Act, 1881Company 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 companyCost accounting: Procedures involved in cost accounting, marginal costing, cost-volume-profit analysis, Budgetary control, Standard costingAuditing: Meaning and objects of auditing, Types of audit, Audit processIncome Tax: Basic concepts, Residence and tax liability, heads of income