First Year BBA(CA) Business Mathematics SPPU Question Paper - 2022 With Answers

 

SPPU Question Paper - 2022 With Answers

First Year BBA(CA) Business Mathematics SPPU Question Paper - 2022 With Answers

Instructions to the candidates:

• Answer all questions

• Figures to the right side indicate full marks.

Q1 A). Fill In The Blanks:                     [5 * 2 = 10]

• The column, which is introduced in the transportation Matrix to balance the rim requirements is known as..................

         (Key column, Idle column, Damn column)

Ans:-    Damn Column

• The variables that help to decide the outcome are called

         (Decision variables, Dependent fables),

Ans:-    Dependent fables

• If A and B matrices are of some order andA+B-B+A, this late is known an

         (commutative law, Associative law, Cramer's laby)

Ans:-   commutative law

• The price at which the articles are sold is called the ........... price.

        (Cost, Selling Purchase)

Ans:-   Selling 

• If the interest is calculated on the principal alone, then it is known

        (Simple interest, Compound Interest, Annuity)

Ans:-     Simple interest

B) State whether the following statement are true OR False.

• The zero matrix is not the additive identity for the matrices. 

Ans:-   True.

• The inverse ratio is the ratio in reverse order of the original ratio.

Ans:-    True.

• Market value of the share is the current price at which the share is

        being treated in stock market.

Ans:-    False.

02) Attempt any four of the following. (4 out of 6)   [4×4-16]

• Define the term matrices?

Ans:-    Matrix refers to an ordered rectangular arrangement of numbers which are either real or complex or functions. We enclose Matrix by [ ] or ( ). The different types of Matrix are Row Matrix, Square Matrix, Column Matrix, Rectangle Matrix, Diagonal Matrix, Scalar Matrix, Zero or Null Matrix, Unit or Identity Matrix, Upper Triangular Matrix and Lower Triangular Matrix. Many scientific fields use Matrices in some form or the other. You will find it in physics like electromagnetism, optics, quantum mechanics and more.

• What are the components of linear programming?

Ans:-    Linear Optimisation may be defined as the problem of maximizing or minimizing a linear function that is subjected to linear constraints. The constraints may be equalities or inequalities. The optimisation problems involve the calculation of profit and loss.  Linear programming problems are an important class of optimisation problems, that helps to find the feasible region and optimise the solution in order to have the highest or lowest value of the function.

Components of Linear Programming

The basic components of the LP are as follows:

• Decision Variables
• Constraints
• Data
• Objective Functions

• Find the number whose 30% in 360.

Ans:-   Here we have to find the value of 30 % of 360

So, we will have to multiply 30 % by 360

30% × 360

Now, to remove the % sign, we will have to divide the number by 100

30% × 360  = 30 / 100 ×360

                  = 108

Hence, 30% of 360  will be 108

ATV set is sold for 36,375 at a loss of 15%. find the purchase price of  the         TV set.

Ans:-   At loss of $15$% cost$=\; 36,375$

  SP×100
​=
100-loss%

Cost price=8536,375×100​=42,794 Rs.

=42,794 Rs.

• Find the simple interest on Rs. 7,000 at 50/3% for a 9 months                    1) Find fourth proportional to 6.8.10

Ans:-   Principal = Rs. 7000

Rate = 50/3%

Time = 9month

We have divided by as we converted 9 months in a year.

Formula used:

Simple interest = (Principal * Rate * Time)/100

= [7000*(50/3)*(9/12)]/100

= 35*25 = Rs.875

The simple interest is Rs.875

03) Attempt any four of the following. (4 out of 6)  [4*5=16]

•  Find out the total income received from the investment Of Rohit invested

          Rs. 99,000 in 7*1/2% stocks at Rs. 81*1/2 plus Brokerage of 1.

Ans:-

• What is transportation model?

Ans:-   transportation model is a special class of linear programming that deals with shipping a commodity from sources (e.g. factories) to destinations (e.g. ware houses) Objective: The objective is to determine the shipping schedule that minimizes the total shipping cost while satisfying supply and demand limits.

•  An amount of?1,200 is deposited in a bank paying an annual interest rate of 5% compounded yearly. Find the balance after 2 years. 

Ans:-   

• What we mean by objective function in LPP.

Ans:-   The real-valued function whose value is to be either minimized or maximized subject to the constraints. The objective function is needed to solve the optimization problems. An objective function is a linear function represented by Z = a x + b y , where are constraints and are variables.

• Find A+B = B+A when matrices

A=|1  2 | B=| 3   1|

     |2 -1|       |-1 -2|

1) What is percentage and how it is calculated.

04) Attempt any four of the following. (4 out of 6)

[14*4=16]

•  Explain the North West Corner Method (NWCM) method of TP?

Ans:-

• Write the steps of LPP formulation?

Ans:-

• Alfred buys an old scooter for Rs. 4,700 and spend Rs. 800 on its repairs. If he sell the scooter for Rs. 5,800 his gain percent is what?

Ans:-

• What is the 20% of 150?

Ans:- 

• A person invests his money in bank worth 24,000. It is increasing at the rate of 5% every year. What will be the growth in his investment after 3 years?

Ans:-

• At what price will 4,250 buy shares worth 25,000? (They are 100 shares)

Ans:-

05) Attempt any one out of two.           [1×6=6]

• Compute the inverse of A:

        

                        [0  1  2]

      Where A=[1  2  3]

                      [3  1  1]

OR

• Determine an initial basic feasible solution to the following transportation problem by using VAM method.

Destination
		D1	D2	D3	D4	Supply
	A	11	13	17	14	250
Source	B	16	18	14	10	300
	c	21	24	13	10	400
	Demand	200	225	275	250

.............Thank You.........