# CA Foundation in Laxmi Nagar, New Delhi – Paper 3 – Business Mathematics, Logical Reasoning and Statics

## CA Foundation Paper3

What is the correct answer for 27 - 11

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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
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:

• Nominal Rate of Return
• Effective Rate of Return
• Compound Annual growth rate (CAGR)
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