Business Mathematics and Logical Reasoning

Ratio and Proportion, Indices and Logarithms

Ratio and Proportion (Business Applications related to Ratio and Proportion) Laws of Indices, Exponents and Logarithms and Anti Logarithms.

Equations and Matrices

(i) Equations: 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 equations by Cramer’s Rule (involving not more than three variables).

Linear Inequalities with Objective Functions and Optimization w.r.t. objective function.

Time value of Money: Simple Interest, Compound interest,  Depreciation, Effective Rate of Interest, Present Value,  Net Present Value, Future Value, Perpetuity,  Annuities, Sinking Funds, Valuation of Bonds, Calculating of EMI, Calculations of Returns

Permutations and Combinations: Introduction, the Factorial, Permutations, results, Circular Permutations, Permutations with restrictions, Combinations with standard results.

Sequence and Series: Introduction , 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.,

Logical reasoning

1. Number series, Coding and Decoding and odd man out.

2. Direction Tests

3. Seating Arrangements

4. Blood Relations

5. Syllogism