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|Paper Title||Faculty Name||No. of Classes|
|CA Foundation – Paper 3||Faculty Name||20 Classes|
|Foundation Paper 3: Business Mathematics, Logical Reasoning and Statistics (100 Marks)|
|Part A: Business Mathematics (40 Marks)|
|I||20%-30%||1. Ratio and Proportion, Indices and Logarithms|
|(i) Ratio and proportion and Business Applications to Ratio and Proportion problems, Laws of Indices, Exponents and Logarithms and Anti Logarithms.|
|2. Equations and Matrices|
|(i) Equations: Linear Simultaneous linear equations up to three variables, Quadratic and Cubic equations in one variable.
(ii) Matrices: Algebra of Matrices, Inverse of a Matrix and determinants, solving system of (Cramer’s rule) involving not more than three variables equations using matrix method
|II||30%-40%||4. Time Value of Money|
|(i) Simple Interest
(ii) Compound interest and annuity applications,
(v) Effective Rate of Interest
(vi) Present Value
(vii) Calculations of Returns:
|III||30%-50%||5. Permutations and Combinations|
|Introduction, the factorial, permutations, results, circular permutations, permutations with restrictions, Combinations with standard results.|
|6. Sequence and Series|
|Introduction Sequences, Series, Arithmetic and Geometric progression, Relationship between AM and GM and Sum of n terms of special series|
|7. Sets, Relations and Functions|
|8. Basic applications of Differential and Integral calculus (Excluding the trigonometric applications) Applications of Marginal Cost and Marginal Revenue etc.|
|Part B: Logical Reasoning (20 Marks)|
|I||60%-70%||9. Number series coding and Decoding and odd man out.|
|10. Direction Tests|
|11. Seating Arrangements|
|II||30%-40%||12. Blood Relations|
|Part C: Statistics (40 Marks)|
|I||45%-50%||14. Statistical Representation of Data, Diagrammatic representation of data, Frequency distribution, Graphical representation of Frequency Distribution –Histogram, Frequency Polygon, Ogive, Pie-chart|
|15. Measures of Central Tendency and Dispersion: Mean Median, Mode, Mean Deviation, Quartiles and Quartile Deviation, Standard Deviation, Co-efficient of Variation, Coefficient of Quartile Deviation.|
|II||25%-30%||16. Probability: Independent and dependent events; mutually exclusive events.25% Total and Compound Probability; Bayes’ theorem; and Mathematical Expectation.|
|17. Theoretical Distribution: Binomial Distribution, Poisson distribution – basic application and Normal Distribution – basic applications.|
|III||10%-15%||18. Correlation and Regression: Scatter diagram, Karl Pearson’s Coefficient of Correlation Rank Correlation, Regression lines, Regression equations, Regression coefficients.|
|IV||10%-15%||19. Index Numbers and Time series
(i) Uses of Index Numbers, Problems involved in construction of Index Numbers, Methods of construction of Index Numbers.
(ii) Time Series Analysis – basic application including Moving Average Method