Suggestion for Competitive Exam (Business Mathematics)

Function

Ø  Define Function and its types with example.
    [Function: A function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.
Example: 
Let  f(x)=x²  be a function, if the input is −3, then the output is 9, and we may write f(−3) = 9. Likewise, if the input is 3, then the output is also 9, and we may write f(3) = 9.

Basically there are two types of Function  (i)Explicit   (ii)Implicit
Explicit: If a function is expressed directly in terms of the independent variable along, then it is called an Explicit function.
Otherwise it an Implicit function.
Example:
     (i) 3x - y = 2     is a Explicit function, but
          y = 2 - 3x     is an Implicit function     ]

Real Number System

Ø  Define with example of the followings:

       (i)Rational number (ii) Irrational number   (iii) Imaginary number (iv) Complex numbe
     [Ans: Book(Sancheti Sir): Page -97]

Ø  Is  root 2,3,4,16,13,19 a rational or irrational number.

Ø  Root  -1= ?        

Theory of sets

Ø Define with example of the followings:

        (i)Set (ii) Subset (iii) Proper Subset (iv) Equal set (v) Equivalent set                                Ø  What are the methods of describing a set?

Ø De-Morgan’s law  (Statement)
    [Ans: Book(Sancheti Sir): Page -24,38]   

Equation

Ø  Difference between liner equation and quadratic equation.

Ø  Write the roots of quadratic equation.

Logarithms

Ø  Explain logarithm and  its types

Ø  Write the laws of logarithm.

    [Ans: Book(Sancheti Sir): Page -193,194]   

Mathematics of   Finance

Ø  Define the followings:

        (i)Simple Interest        (ii) Compound Interest    (iii) Present value   (iv) Future value

        (v) Annuity                 (vi) Annuity Due             (vii) Immediate Annuity

Ø   Define with example     (i) Annuity Certain          (ii) Annuity Contingent
     [Ans: Book(Sancheti Sir): Page -225,229,230]                               

Coordinate Geometry

Ø  Define  (i) Slope     (ii) Break-even point

Ø  Write the formula for

         (i)Distance between two points                    (ii) Relation between two points

         (iii)Perpendicular and Parallel equations     (iv) Condition for parallel and perpendicular

         (iv)Area of a Triangle                                  (v) Condition for Co-linearity/                         [Ans: Book(Mokarram Sir): Page -173]

Differential Calculus

Ø Write the necessary and sufficient condition for maximum or minimum values.

Ø Define 
          (i) Differentiation      (ii)The point of In-flexion.

          (iii) Average cost       (iv) Marginal cost    (v) Profit
     [Ans: Book(Mokarram Sir): Page -229]

                 

Integral Calculus

Ø  What is Consumer Surplus and Producer Surplus?

Ø  Define (i) Integration   (ii) Marginal revenue   (iii) Variable cost

    [Ans: Book(Mokarram Sir): Page -264]