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Probability, Probability Distribution:

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,X tests), Index Numbers, Time-series analysis-components of variation and their estimation.


(A) General Economics:

1. Demand and Supply Analysis, including Laws and Interaction.

2. Production Function and Laws of Returns.

3. Commodity pricing, characteristics of various Market Forms & such Market forms.

4. Theory of Factor pricing- Rent, Wage, interest and profit.

5. Theory of Employment- classical and Neo-classical Approach.

6. Keynesian Theory of Employment-Principle of Effective importance of investment, Relation between saving and inv Effect and the process of Income Generation, post-Keynesian.

7. Nature and Functions of Money, value of Money, Fluctuation of Money-inflation and Deflation, Monetary policy, Index Numbers.

8. International Trade- free trade and protection, Theories of Trade.

9. Foreign Exchange-Determination of the rate of Exchange, Parity Theory and Balance of Payment theory.

10. Public Finance- Nature, Scope and importance of public Finance.

11. Taxation- meaning, Classification and principles of Taxation.

12. Deficit Financing.

13. Fiscal policy.

(B) Indian Economics & General statistics:

1. Statistical investigation-Meaning and planning of investigation.

2. Collection of data and editing of data.

3. Types of sampling.

4. Schedule and questionnaire.

5. Presentation of data-classification, tabulation, etc.

6. Measures of Central Tendency.

7. National income and Accounting- Estimation of National Income, Structural changes in the Indian Economy, income Data.

8. Agricultural sector – Agricultural Development during planning, credit, Agricultural price policy, Rural Development, Co-Operative Raj.

9. Industrial Policy and industrial Development.

10. Problems of Economic Development- Indian Planning-Objective and its evolution, Five Year plans and Role of National Development.

11. Profile of Human Resources- Population and Economic Development, Profile of India, Nature of population problem-poverty, population control and Government.

12. New Economic policy and Welfare Schemes.

13. Indian public Finance-Indian Revenue, Foreign Aid.

14. Indian Banking and Currency system.



Algebra of sets, relations and functions of a function, equivalence relation. The system of complex numbers, De Moivre’s Theorem and its simple applications, Relation between roots and coefficients of polynomial equation – Evaluation of symmetric function of roots of cubic and biquadrate equation.

Algebra of Matrices: Determinants, simple properties of determinants, multiplication 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 sense, tests of convergence of series with positive terms, Ratio, Root and Gauss tests.

Analytical Geometry: Straight lines, Circles, parabola, ellipse and hyperbola in standard form and their elementary properties, classification of curves of second degree.

Differential Equation: First order differential equation, Solution of second and higher order liner 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 variable. Tangents and normal, curvature, Partial differentiation, Euler’s theorem for homogeneous function, Tracing of curves. Standard methods of Integration, Reimann’s definition of definite integral, fundamental theorem of integral calculus, quadrate, rectification, volumes and surface of solids of revolution.

Statistics: Frequency distributions, Measures of central tendency, measures of dispersion, Skewness and kurtosis. Random and distribution function. Distributions and poisson distribution, continuous distributions, rectangular, Normal and exponential distributions, principles of least squares and regression. Random sampling, random numbers, sampling attributes, Large sample tests for mean and proportion test of significance, based on t, F AND Chi square distributions.

Commerce with Statistics: This paper will cover all the subjects of Commerce commonly taught in the Degree Course of Indian Universities, namely Accountancy, Business Economics, Taxation, Company Law, Auditing, Business Communication, Mathematical Ability including Statistics, Operational Research, International Trade, Marketing and Advertising, Business Management, Business Organisations, Human Resource Management, Banking, Insurance, Partnership, Mercantile Law, Investments, Shares/Debentures, etc. (for details of Statistics topics, refer to Statistics).


covering all the subjects of Commerce commonly taught in the Degree Course of Indian Universities, namely:

Accountancy: Conceptual framework, Income measurement, Final accounts, Accounting for partnership firms, Hire-purchase accounting, Corporate accounting (Issue, forfeiture and re-issue of shares), stock exchanges functioning.

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, Operational Research, marketing management.

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, Mathematical ability.

Business Law: Indian Contract Act, 1872, Sale of Goods Act, 1930, Partnership Act 1932 and Negotiable Instrument Act, 1881, laws relating to Banking & Insurance.

Company Law: Kinds of Companies, matters involving incorporation of company, shares and share capital and matters relating to issue and transfer of shares, members of a Company, management of 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.

Labour Laws: Labour welfare laws including Payment of Minimum Wages Act, Trade Union Act, Industrial Disputes Act etc.


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