CA Foundation in Laxmi Nagar, New Delhi – Paper 3 – Business Mathematics, Logical Reasoning and Statics
Business Mathematics, Logical Reasoning and Statics
Business
Mathematics
Logical
Reasoning
Statistics
CA Foundation Paper3
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| Paper Details | ||
|---|---|---|
| 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) | ||
|---|---|---|
| Sections | Weightage | Content Area |
| 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 |
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| II | 30%-40% | 4. Time Value of Money |
| (i) Simple Interest (ii) Compound interest and annuity applications, (iii) Perpetuity (iv) Depreciation (v) Effective Rate of Interest (vi) Present Value (vii) Calculations of Returns:
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| 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 |
| 13. Syllogism | ||
| 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 |