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Wednesday 1 December 2010

MTH302- Business Mathematics & Statistics Complete Solved MidTerm Paper

MIDTERM  EXAMINATION
Fall 2008
MTH302- Business Mathematics & Statistics (Session - 2)
    
Question No: 1    ( Marks: 1 )    - Please choose one
 Store A marked down a $ 50 perfume to $ 40 with markdown of  $10
The % Markdown is

       ► 10%

       20%        
       ► 30%

       ► 40%

   
Question No: 2    ( Marks: 1 )    - Please choose one
 Given Net price of shirt = $20 , Discount =  10% ,List price will
       $22              
       ► $24              
       ► $26               
       ► $30              
   
Question No: 3    ( Marks: 1 )    - Please choose one
 Which is the correct syntax for the determinant of a matrix given by the following array
                   ► =DETERM(B4:E7)

       ► =MDTERM(B4:E7)

       ► =MDETERM(B4:E7)

       ► =MDETERM(B4;E7)

   
Question No: 4    ( Marks: 1 )    - Please choose one
 VDB returns the depreciation of an asset for

       ► Zero period

       ► One period

       ► Two period

       Any arbitrary period
   
Question No: 5    ( Marks: 1 )    - Please choose one
 If the cost & selling price of a pen are Rs.12 & Rs.15 respectively, profit percentage is:

       ► 33.33%

       ► 25%

       ► 20%

       ► 10%

   
Question No: 6    ( Marks: 1 )    - Please choose one
 This example returns the depreciation for an asset that costs Rs. 10,000, with a salvage value of $8,000. The useful life of the asset is 5 years. The depreciation is being calculated for the third year, and there are 10 months in the first year.  
       ► =DB (10000, 5, 8000, 3, 10)
       ► =DB (10000, 8000, 5, 10, 3)
       ► =DB (10000, 8000, 5, 3, 10)
       ► =DB (10000, 8000, 10, 3, 5)
   
Question No: 7    ( Marks: 1 )    - Please choose one

Which of the following functions is not related to financial analysis?
       ► AMORDEGRC
       ► AMORLINC
       ► CUMIPMT
       ► MDETERM
   
Question No: 8    ( Marks: 1 )    - Please choose one
 (2) ^ -2 = ) 0.25……..

       ► 
       ► 
       ► 
       ► 
   
Question No: 9    ( Marks: 1 )    - Please choose one
Dimension of a matrix means
►Column space

►Row space

►Order of the matrix

►None of these

   
Question No: 10    ( Marks: 1 )    - Please choose one
 If there is a -30% change in the price of an item, what does the negative sign show?
►The price is increasing.
►The price is decreasing.
►The price has low rate of change.
►None of the above.
   
Question No: 11    ( Marks: 1 )    - Please choose one
According to taxation rules; the amount of allowances is treated tax free if it is upto 50%       of the basic salary.

►
►
►
►
   
Question No: 12    ( Marks: 1 )    - Please choose one
Write a formula to find the simple interest (I) if $5000 is invested at 4% for 2 years.
►I=PRT
►I=P+R+T
►I=PT
►I=P(R+T)
   
Question No: 13    ( Marks: 1 )    - Please choose one
Every percentage can be converted into:
        Decimal
       Ratio

       Proportion
       Both decimal & ratio

   
Question No: 14    ( Marks: 1 )    - Please choose one
 Monthly installments of a leased car are calculated by using the techniques of:
       ► Simple interest method

       Compound interest method

       ► Annuity
       ► Hit & trial method
   
Question No: 15    ( Marks: 1 )    - Please choose one
 Suppose that you are spending 1500 dollars in an investment and Accumulated factor is 15 then Accumulated Value will be
        22550
       22500
       21000
       22510
   
Question No: 16    ( Marks: 1 )    - Please choose one
 What is the interest on Rs. 1600 for one year at the rate %?
       ► 65
       56
       ► 75
       ► 90
   
Question No: 17    ( Marks: 2 )
 A man borrows $39000 for 1and half year at a rate of 1.65%. What is the simple interest he has to pay?
Simple interest is given by
I= P*R*T/100
P= principal = $39000
R= interest rate= 1.65%
T= 1.5 year
Interest, I =(39000 * 1.65 *1.5)/100 = Rs 965.25



   
Question No: 18    ( Marks: 2 )
 If
Cost price = 2000Rs
Selling price = 6500Rs
Then what will be %Markup on cost?

MUC= S- C (Rs markup on cost = selling price- cost price)
         = 6500-2000 = Rs 4500
  % markup on cost = (MuC/cost price) * 100 = (4500/2000) *100=  225%


   
Question No: 19    ( Marks: 3 )
Write the output of B9, B10, B11 and B12. If you think the formula is incorrect write "Error" in output.

ANSWER:
The output of =sum(B3,B4,B5,B6) = 82

=multiply(B5,B6) will not give result because multiply is not a excel function

B4/B6 is not a formula because in excel formula must start with "="

=B4% will return 0.2



   
Question No: 20    ( Marks: 5 )
 A gold chain is sold for Rs. 6500 at a gain of 25%. Find the profit.

Selling price = 6500
Profit = 25%
Profit in Rs= (6500*25)/100= Rs 1625

   
Question No: 21    ( Marks: 10 )
 For the following matrices perform the indicated operation, if possible.
        
(a)
(b)
(c)
a)
A =  2    0     -3    2         +       B =  0      -4     -7    2
      -1   8     10   -5                       12     3      7     9

A+B= 2+0        0-4            -3-7       2+2
        -1+12      8+3           10+7      -5+9

A+B =  2       -4       -10       4
           11     11       17        4

b)
B-A=    0-2      -4-0          -7-(-3)           2-2
         12-(-1)    3-8           7-10             9-(-5)


B-A=  -2      -4           -4       0
          13     -5           -3      14
c)  A+C is not conformable for addition because for addition number of rows and columns of A must be equal to number of rows and columns of C

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