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Paper 3 of 4

Business Mathematics, Logical Reasoning and Statistics

Covers ratio & proportion, equations, matrices, sequences, permutations, logical reasoning, statistics, probability and distributions.

Exam Pattern

100
Total Marks
120 min
Duration
Objective (MCQ)
Question Type
959
Total MCQs
0.25
Negative Marking
40%
Passing Marks

Detailed Syllabus

Complete topic-wise breakdown as per ICAI curriculum

1

Ratio and Proportion, Indices and Logarithms

  • •Ratio Basics
  • •Types of Ratios
  • •Proportion
  • •Types of Proportion
  • •Division
  • •Variation
  • •Ratio & Proportion: Properties
  • •Ratio & Proportion: Word Problems
  • •Ratio & Proportion: Advanced
2

Equations

  • •Laws of Logs
  • •Indices Basics
  • •Laws of Indices
  • •Calculations
  • •Logarithm Basics
  • •Log Calculations
  • •Characteristic
  • •Antilogarithm
  • •Equations: Applications
  • •Equations: Advanced
3

Linear Inequalities

  • •Symmetric Functions
  • •Linear Inequalities: Word Problems
  • •Linear Inequalities: One Variable
  • •Quadratic Formula
  • •Sum & Product
  • •Cubic
  • •Methods
  • •Linear Inequalities: Advanced
  • •Linear Inequalities: Two Variables
  • •Linear Inequalities: Quadratic
4

Mathematics of Finance

  • •Basics
  • •Mathematics of Finance: Properties
  • •Compound
  • •Absolute Value
  • •System
  • •Linear Programming
  • •Mathematics of Finance: One Variable
  • •Mathematics of Finance: Two Variables
  • •Mathematics of Finance: Quadratic
  • •Mathematics of Finance: Word Problems
  • •Mathematics of Finance: Advanced
5

Permutations and Combinations

  • •CI vs SI
  • •PV & FV
  • •Depreciation
  • •Population
  • •Effective Rate
  • •Annuities
  • •SI Basics
  • •SI Calculations
  • •SI Special Cases
  • •CI Basics
  • •CI Calculations
  • •Permutations & Combinations: Word Problems
6

Sequence and Series

  • •Combination Applications
  • •Permutation Basics
  • •Mixed Problems
  • •Permutation Special
  • •Factorial
  • •Fundamental Principles
  • •Combination Basics
  • •Pascal & Binomial
  • •Distribution
  • •Sequence & Series: Advanced
7

Sets, Relations and Functions

  • •Sum of AP
  • •Special Series
  • •Sum of GP
  • •Sequence Basics
  • •AP Basics
  • •AP Properties
  • •GP Basics
  • •GP Properties
  • •HP Basics
  • •Sets, Relations & Functions: Word Problems
8

Limits and Continuity

  • •Relations
  • •Subsets
  • •Venn Diagrams
  • •Types of Relations
  • •Set Basics
  • •Types of Sets
  • •Set Operations
  • •Function Basics
  • •Types of Functions
  • •Composition
9

Differential and Integral Calculus

  • •Limit Introduction
  • •Direct Substitution
  • •Indeterminate Forms
  • •Standard Limits
  • •Limits at Infinity
  • •Continuity Definition
  • •Types of Discontinuity
  • •Calculus: Properties
  • •Calculus: Applications
10

Number Series, Coding-Decoding and Odd Man Out

  • •Integration Basics
  • •Definite Integrals
  • •Standard Integrals
  • •Integration Rules
  • •Differentiation Basics
  • •Number Series & Coding: Applications
  • •Maxima Minima
  • •Differentiation Rules
  • •Standard Derivatives
  • •Integration Applications
11

Direction Tests

  • •Frequency Distribution
  • •Tabulation
  • •Diagrams
  • •Data Types
  • •Classification
  • •Graphs
  • •Class Types
  • •Bivariate Data
  • •Statistical Errors
  • •Direction Tests: Introduction
12

Seating Arrangements

  • •Geometric Mean
  • •Relationship
  • •Arithmetic Mean
  • •Weighted Mean
  • •Combined Mean
  • •Median
  • •Mode
  • •Harmonic Mean
  • •Partition Values
  • •Seating Arrangements: Introduction
13

Blood Relations

  • •Range
  • •Coefficient of Variation
  • •Quartile Deviation
  • •Standard Deviation
  • •Mean Deviation
  • •Skewness
  • •Kurtosis
  • •Variance
  • •Combined SD
  • •Blood Relations: Introduction
14

Statistical Representation of Data

  • •Addition Theorem
  • •Complement
  • •Basic Concepts
  • •Terminology
  • •Classical Probability
  • •Conditional Prob
  • •Multiplication
  • •Bayes Theorem
  • •Random Variable
  • •Odds
15

Measures of Central Tendency and Dispersion

  • •Normal
  • •Standard Normal
  • •Binomial
  • •Poisson
  • •Central Tendency & Dispersion: Applications
  • •Fitting
  • •Central Tendency & Dispersion: Introduction
16

Probability

  • •Correlation Coefficient
  • •Comparison
  • •Correlation Intro
  • •Scatter Diagram
  • •Coefficient of Determination
  • •Regression Intro
  • •Regression Lines
  • •Probability: Applications
  • •Rank Correlation
17

Sampling

  • •Sample Size Determination
  • •Sampling Methods and Types
  • •Introduction to Sampling
  • •Stratified Sampling
18

Theoretical Distributions

  • •Normal Distribution
  • •Binomial Distribution
  • •Poisson Distribution
  • •Standard Normal Distribution
19

Correlation and Regression

  • •Correlation Analysis
  • •Linear Regression
  • •Regression Equation
  • •Regression Analysis Applications
20

Index Numbers

  • •Introduction to Index Numbers
  • •Types of Index Numbers
  • •Construction of Index Numbers
  • •Index Number Applications

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