The Board of Studies (BoS) of the Institute of Chartered Accountant of India (ICAI) has now assigned weightage of marks to various sections of a subject. This facility would help students to plan their studies in a structured manner for the coming ICAI examinations.
Accordingly, each subject has been divided into various topics and topics have been grouped into sections and weightage range has been assigned to these sections. The question paper would take into consideration the weightage range assigned to different sections.
Following are the detail section wise weightage of marks assigned to the Paper-3 Business Mathematics, Logical Reasoning and Statistics of CA Foundation course examination to be held in May 2018 under New Scheme of Education and Training.
Section wise Weightage of Marks for Paper 3
Foundation Paper 3: Business Mathematics, Logical Reasoning and Statistics (100 Marks)
Part A: Business Mathematics (40 Marks)
Section I (8 Marks to 12 Marks)
- 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.
- 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
- Linear Inequalities: Linear Inequalities in one variable and the solution space and optimal Solution
Section II (12 Marks to 16 Marks)
- 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:
(a) Nominal Rate of Return
(b) Effective Rate of Return
(c) Compound Annual growth rate (CAGR)
Section III (12 Marks to 20 Marks)
- Permutations and Combinations
Introduction, the factorial, permutations, results, circular permutations, permutations with restrictions, Combinations with standard results.
- Sequence and Series
Introduction Sequences, Series, Arithmetic and Geometric progression, Relationship between AM and GM and Sum of n terms of special series
- Sets, Relations and Functions
- 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)
Section I (12 Marks to 14 Marks)
- Number series coding and Decoding and odd man out.
- Direction Tests
- Seating Arrangements
Section II (6 Marks to 8 Marks)
- Blood Relations
Part C: Statistics (40 Marks)
Section I (18 Marks to 20 Marks)
- Statistical Representation of Data, Diagrammatic representation of data, Frequency distribution, Graphical representation of Frequency Distribution –Histogram, Frequency Polygon, Ogive, Pie-chart
- 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.
Section II (10 Marks to 12 Marks)
Independent and dependent events; mutually exclusive events.25% Total and Compound Probability; Bayes’ theorem; and Mathematical Expectation.
- Theoretical Distribution:
Binomial Distribution, Poisson distribution – basic application and Normal Distribution – basic applications.
Section III (4 Marks to 6 Marks)
- Correlation and Regression:
Scatter diagram, Karl Pearson’s Coefficient of Correlation Rank Correlation, Regression lines, Regression equations, Regression coefficients.
Section I (4 Marks to 6 Marks)
- 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.