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Thursday, 25 November 2010

MTH302 PAST MIDTERM Solved PAPER

Tag: Solved, Virtual University, Midterm, MTH302,
MIDTERM  EXAMINATION
Spring 2009
MTH302- Business Mathematics & Statistics 

Time: 60 min
Marks: 40
Student Info
 StudentID:

 Center:

 ExamDate:



Question No: 1    ( Marks: 1 )    - Please choose one
 A, B and C play cricket. A's runs are to B's runs and B's runs are to C's as 3:2. They get altogether 342 runs.
How many runs did A make?

       ► 162
       ► 108
       ► 72
       ► 112
   
Question No: 2    ( Marks: 1 )    - Please choose one
 The price of a P4 computer was $12000 last year. What is the price of the computer for this year if the price is decreased by 10%?
       $12000

       $12500

       $10800

       $9000

   
Question No: 3    ( Marks: 1 )    - Please choose one
 Four friends take an IQ test. Their scores are 96, 100, 106, 114. Which of the following statements is true?
       The mean is 103.
        The mean is 104.
       The median is 100.
       The median is 106.
   
Question No: 4    ( Marks: 1 )    - Please choose one
 Percentage is a ratio of given number with standard number:
       ► 100
       ► Same number

       ► 1000
       ► 10
   
Question No: 5    ( Marks: 1 )    - Please choose one
 The Virtual University of Pakistan is a growing distant learning university of Pakistan. The number of students in the university is increasing each year. The number of registered students in a course related to business math last year was 7113 and it is increased up to 9242 this year. What is the percentage increase in the number of students?

       23%
       30%
       18%
       42%
   
Question No: 6    ( Marks: 1 )    - Please choose one
 If A and B are any two matrices of order  and  respectively and m>n and p<q. What should be the condition on m, n, p, q for the product AB to hold?

       n>p
       m<=q
       q=p
       n=p
   
Question No: 7    ( Marks: 1 )    - Please choose one
 The price at which investors buy or sell a share of stock at a given time is referred as

       Face value
       Market value
       Accumulated value
       Earning value
   
Question No: 8    ( Marks: 1 )    - Please choose one
 Gross salary is also called Net salary
       ► True
       ► False
   
Question No: 9    ( Marks: 1 )    - Please choose one
 Can we subtract a positive integer k from the identity matrix?
       ► Yes
       ► No
   
Question No: 10    ( Marks: 1 )    - Please choose one
 Net price =
       List price +trade discount


       List price - trade discount


       List price /trade discount


       List price * trade discount

   
Question No: 11    ( Marks: 1 )    - Please choose one
 Division. Symbol: /  is  a type of
       Comparison operators  

       Concatenation operator 

       Reference operators 

       Arithmetic operators
   
Question No: 12    ( Marks: 1 )    - Please choose one
 Given :  List Price =5500Rs   , Discount = 850Rs, then  Net Cost Price will be
       6350 Rs
6350 Rs

       5508 Rs
5508 Rs

       5585 Rs

       4650 Rs
   
Question No: 13    ( Marks: 1 )    - Please choose one
 To convert a number in percent (%) from a fraction, we do which of the following operation:                                                                                         
       add by 100

       subtract by 100

       multiply by 100

       divide by 100 

   
Question No: 14    ( Marks: 1 )    - Please choose one
 If is the matrix of dimension  and is the identity matrix of dimension . Then which of the following is true

       AI = I

             AI = A
       A + I = A

       A + I = I

   
Question No: 15    ( Marks: 1 )    - Please choose one
 If ratio of boys and girls in a class is 7: 5, which of the following can’t be the total number of the students in the class?

       36

       50

       60

       120

   
Question No: 16    ( Marks: 1 )    - Please choose one
 SLN returns the straight-line depreciation of an asset for

       Zero period

       One period
       Two periods

       Three periods
   
Question No: 17    ( Marks: 1 )    - Please choose one
 Assume you will work for the next 20 years and at the end of each year you will deposit $20,000 into a savings account.  At the end of that 20 year period you will start withdrawing your retirement living expenses from that account at the beginning of every year.  This financial plan involves a _____ problem while you are working and a _____ problem while you are in retirement.
       a present value of a dollar, future value of a dollar
       a future value of an annuity due, a present value of an annuity due 
       a future value of an annuity due, a present value of an ordinary annuity
       a future value of an ordinary annuity, a present value of an annuity due
       a future value of an ordinary annuity, a present value of an ordinary annuity
   
Question No: 18    ( Marks: 1 )    - Please choose one


 
By multiplying the above two matrices we get the following result
      
      
      
       Given matrices cannot be multiplied
   
Question No: 19    ( Marks: 1 )    - Please choose one
 which of the following is linear equation

       2x-3y=-6

       x+x+x

       520x²y²

       y^2 -3=0

   
Question No: 20    ( Marks: 1 )    - Please choose one
 Given  FC = Rs.5000 ,CM= Rs. 30 ,VC= Rs. 150 , Capacity = 320units then BEP in units =   
►4500 units
►167 units
►33 units
►16 units
   
Question No: 21    ( Marks: 2 )
 Find the Discount where price is 2000 and discount rate is 12%.

Solution:

Price = 2000
Discount rate = 12%

Discount = Price * rate
Discount = 2000*12/100
Discount = 240
   
Question No: 22    ( Marks: 3 )
 Calculate compound interest earned on Rs. 2250 invested at 8% per annum for 6 years
   
Solution

compound interest = (1-((1.08)^6))*2250=1320



Question No: 23    ( Marks: 5 )

 If the Basic salary of an employee is Rs 8000 and Allowances are Rs 4,000 . What are the cost on account of 20 casual and 10 sick leaves per year if normal working days per month are 26?  
   
Solution:

Cost of casual leaves per year = {18 / (26 x 12)} x 12000 x 12 = 8307.7 Rs
Cost of Sick leaves per year = {12 / (26 x 12) x 12000 x 12 = 5538.5 Rs.

Question No: 24    ( Marks: 10 )
 The price of medicine inventory is Rs. 500,000.
The series discounts are 20%, 10%, 5%.
What is the single equivalent discount rate?
 if  Invoice was dated May 1st and  10% discount  is offered if invoice is paid up to 10thMay. What will be net payment  for invoice value of Rs. 500,000 if paid up to 10th May.

Solution

List Price=500,000
              D1=20%
              D2=10%
              D3=5%
Net price=N= L (1-d1)(1-d2)(1-d3)
            = 500,000(1-0.20)(1-0.10)(1-0.05)
            = 342,000
Single discounted rate is given by
      Here we see      N=L(1-d)
                          =500000(1-31.6%)
                          =342000
So we can say that …..31.6% is a single discounted rate

Payment over 10th of may= 500,000(1- 10%)
                          = 450,000

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