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# CA Foundation Paper 3 Business Mathematics Logical Reasoning and Statistics Syllabus

## CA Foundation Paper 3 Business Mathematics Logical Reasoning and Statistics Syllabus

CA Foundation Paper 3 Business Mathematics Logical Reasoning and Statistics Syllabus

### PAPER –3: Business Mathematics Logical Reasoning and Statistics

(One Paper- Three hours- 100 Marks)

OBJECTIVES: The Objective of this course is to familiarize students with basic Mathematical and Statistical tools with emphasis on applications to Business, Finance and Economic situations .Logical reasoning tests helps the students thinking power and mental applicability skills.

The whole syllabus of Business Mathematics Logical Reasoning and Statistics shall be divided into two broad areas.

• Business Mathematics Logical reasoning (60 Marks)

#### Business Mathematics and Logical reasoning (60 marks)

• Chapter-1(Ratio and proportion, Indices and Logarithms ) o Ratio and proportion and Time and work related problems, Laws of Indices, Exponentsand Logarithms and Anti Logarithms.
• Chapter-2 (Equations and Matrices) o Equations: Linear Simultaneous linear equations up to three variables, Quadratic and Cubic equations in one variable. o Algebra of Matrices, Inverse of a Matrix anddeterminants, solving system of equations using matrix method (Cramer’s rule) involving not more than three variables.
• Chapter-3 (Inequalities) o Inequalities: Linear Inequalities in one variable and the solution space
• Chapter -4 Time value of Money (Financial Mathematics) o Time value of Money Simple Interest
• Compound interest
• Effective Rate of Interest
• Present Value
• Net Present Value
• Future Value
• Perpetuity
• Annuities
• Sinking Funds
• Calculating of EMI Calculations of Returns:

o Nominal Rate of Return

• Effective Rate of Return
• Compound Annual growth rate (CAGR)
• Chapter -5 (Sets Functions and Relations)
• Chapter -6 (Basic applications of Differential and Integral calculus (Excluding the trigonometric applications)
• Chapter-7 (Permutations and Combinations) o Basic concepts of Permutations and combinations: Introduction, the factorial, permutations, results, circular permutations, permutations with restrictions, Combinations with standard results.
• Chapter-8 (Sequence and Series ) o Introduction Sequences, Series, Arithmetic and Geometric progression,

Relationship between AM and GM and Sum of n terms of special series.

Logical Reasoning: (20 marks)

• Chapter -9
• Number series coding and Decoding and odd man out.
• Chapter -10
• Blood Relations,
• Chapter-11
• Seating Arrangements,
• Chapter-12
• Direction Tests
• Chapter-13

• Chapter -14 (Statistical description of Data)
• Statistical Representation of Data, Diagrammatic representation of data, Frequency distribution, Graphical representation of Frequency Distribution – Histogram, Frequency Polygon, Ogive, Pie-chart.
• Chapter -15 (Measures of Central tendency and Dispersion )
• 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.
• Chapter-16 (Correlation and Regression)

• Correlation and Regression: Scatter diagram, Karl Pearson’s Coefficient of Correlation Rank Correlation, Regression lines, Regression equations, Regression coefficients.
• Chapter -17 (Theoretical Distributions)
• Theoretical Distributions: Binomial Distribution, Poisson distribution – basic application and Normal Distribution – basic applications.
• Chapter-18 (Probability)

• Probability: Independent and dependent events; mutually exclusive events. Total and Compound Probability; Bayes’ theorem; and Mathematical Expectation.
• Chapter-19 (Index Numbers and Time Series)
• Index Numbers:Uses of Index Numbers, Problems involved in construction of Index Numbers, Methods of construction of Index Numbers.
• Time Series Analysis – basic application including Moving Average, Moving Average Method, and Method of Least Squares.
• Chapter-20 (Sampling Theory and Testing of Hypothesis)

(a)Sampling theory: Basic Principles of Sample survey, Comparison between sample survey and enumeration, errors in Sample survey, some important terms associated with sampling, types of sampling.

(b)Testing of Hypothesis, Large sample tests (Test for means, test for proportions and test for Standard deviations) and sample tests applications of t, F-distribution (Variance ratio test) and Chi-square test.

### Paper 4*: Business Economics & Business and Commercial Knowledge (100 Marks)

Part I: Business Economics (60 Marks)

(b)     Objectives of Business Firm- Profit Maximization, Sales Maximization, Growth Maximization.

2.   Theory of Demand and Supply

(a) Meaning and determinants of demand, Law of demand and Elasticity of demand ─ Price, income and cross elasticity (b) Theory of consumer’s behaviour – Marshallian approach and Indifference curve approach (c) Meaning and determinants of supply, Law of supply and Elasticity of supply.

(d)  Demand Forecasting

3.   Theory of Production and Cost

(a)     Meaning and Factors of production

(b)     Laws of Production – The Law of Variable proportions and Laws of Returns to Scale, Producer’s equilibrium

(c)     Concepts of Costs ─ Short-run and long-run costs, Average and marginal costs, Total, fixed and variable costs.

4. Price Determination in Different Markets

(a) Various forms of markets – Perfect Competition, Monopoly, Monopolistic Competition and Oligopoly (b) Price determination in these markets.

• Causes behind these Cycles.

Paper 4 Part II Business and Commercial Knowledge

Objectives

1. Have a basic knowledge of common business and commercial concepts.
2. Inculcate a habit to remain updated about developments in the business and commercial world.

Students are expected to read at least one financial newspaper and one business magazine on a regular basis.  They may also watch a business channel to remain updated about the developments related to commercial world.

Contents

Nature of Business, Profession and Employment. Objectives of Business. Business and Commercial Knowledge. Economic and Non-Economic Activities.

Micro     and     Macro     Environment,     Elements     of     Micro     Environment     –

Consumers/Customers, Competitors, Organization, Market, suppliers, Intermediaries, Elements of Macro Environment – Demographic, Economic, Political-legal, Sociocultural, Technological, Global Environment.

1. Business organizations Top Indian and Global Companies.
2. Government Policies for Business Growth

Policies creating conducive business environment – Startups,E-commerce.

Liberalization, Privatization, Foreign Direct Investment.

Indian regulatory bodies – SEBI, RBI, IRDA, CCI, FMC, CBDT, CBEC Indian Development Banks – IFCI, IDBI, SIDBI, EXIM Bank,NABARD

Global organizations and world trade bodies – IMF, ADB, WTO, OECD, SAARC, ASEAN, OPEC.

Accounting Bodies – IFAC,IASB, IESB, CAPA, SAFA, AOSSG.

1. Common Business and Commercial Terminologies

### CA Foundation Paper 3 Business Mathematics Logical Reasoning and Statistics Syllabus

 Old Scheme New Scheme CA CPT CA Foundation 200 Marks 400 Marks Fundamental of Accounting(60 Marks)Objective Principles and Practices of Accounting(100 Marks)Subjective Mercantile Law (40 Marks)Objective Business Law (60 Marks = ICA + SOGA + PA = 45 Marks + LLP + Companies Act = 15 Marks) and (40 Marks) Business Correspondence and Reporting Subjective General Economics (50 Marks)Objective Business Economics (60 Marks) and Business and Commercial Knowledge (40 Marks)Objective Quantitative Aptitude (50 Marks)Objective Business Mathematics (40 Marks), Logical Reasoning (20 Marks) and Business Statistics (40 Marks)Objective

### CA Foundation Paper 3 Business Mathematics Logical Reasoning and Statistics Syllabus

 Paper 1 Principles and Practices of Accounting 100 Marks Descriptive /Subjective Type Paper 2 Business Law & Business Correspondence and Reporting 100 Marks Descriptive/Subjective Type Section A: Business Law – 60 Marks Section B: Business Correspondence and Reporting – 40 Marks Paper 3 Business Mathematics Logical Reasoning and Statistics 100 Marks Objective Type Paper 3 – Part I: Business Mathematics and Logical Reasoning (60 Marks) Paper 3 – Part II: Statistics (40 Marks) Paper 4 Business Economics & Business and Commercial Knowledge 100 Marks Objective Type Paper 4 – Part I: Business Economics (60 Marks) Paper 4 – Part II: Business and Commercial Knowledge (40 Marks)
Note :
1. Passing percentage:Aggregate- 50% and Subject-wise- 40% at one sitting.
2. Objective type question of 1 or more marks.
3. Examination: In the month of November and May after passing Class XII

### CA Foundation Paper 3 Business Mathematics Logical Reasoning and Statistics Syllabus

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### CA Foundation Paper 3 Business Mathematics Logical Reasoning and Statistics Syllabus

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