mth302 collection of old papers

8/8/2019 Mth302 Collection of Old Papers

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Created By: v u j a n n a t . n i n g

QuestionNo: 1 ( Marks: 1 ) - Please choose one

Thevalue of c2 is always ------------------

PositiveNegative None ofthese

QuestionNo: 2 ( Marks: 1 ) - Please choose oneWhich of the following indicates a strongpositive correlation.

r = 0r = -0.793r = 0.913r = 0.45

QuestionNo: 3 ( Marks: 1 ) - Please choose one

(3x 2y)0Binomial expansionfor is equalto

1(3x 2y)

(0 3x 2y)

(3x 02y)

QuestionNo: 4 ( Marks: 1 ) - Please choose oneNew forecast =

Old forecast +proportion oferror.. Old forecast -proportion of error

Old forecast *proportion of error

Old forecast / proportion of error

QuestionNo: 5 (Marks: 1 ) -Please choose oneWhich is the correct syntax for the determinant of a matrixgivenby the followingarray


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=DE TERM(B4:E7)

=MDTERM(B4:E7)

=MDETERM(B4:E7)

=MDETERM(B4;E7)

Qu e s ti o nNo:6 ( Marks: 1 ) -Please choose oneIfC is the cost and S is the sellingprice of a certainitem then the formula forits

markup is givenby

(S-C)/S *100%

(S-C)/C *100%

(C-S)/S *100%

(C-S)/C *100%

Qu e s ti o nNo:7 ( Marks: 1 ) -Please choose oneThereis an investment of ofbasic salary onbehalfof the employeeinProvidentFund

1/11th

2/11th

3/11th

5/11th


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QuestionNo: 8 ( Marks: 1 ) - Please choose oneVDBreturns the depreciation of an asset for

Zeroperiod

Oneperiod

Twoperiod

Any arbitraryperiod

QuestionNo: 9 ( Marks: 1 ) - Please choose oneSolve x 16 = 12 forx.

428428

QuestionNo: 10 ( Marks: 1 ) - Please choose oneSyntax for the Poissondistributionis

POISSON(x, mean, cumulative)

POISSON(x, mode, cumulative)

POISSON(x, median,cumulative)

POISSON(x, y, mean, cumulative)

QuestionNo: 11 ( Marks: 1 ) - Please choose oneMen tend to marry women who are slightly younger than themselves.

Suppose that every man married a woman who was exactly .5 of a yearyoungerthan themselves.Which of the following is CORRECT?

The correlationis .5. The correlationis .5. The correlationis 1. The correlationis 1. The correlationis 0

Question No: 12 ( Marks: 1 ) - Please choose one


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If high orlow numbers have a significant effect on a list of numbers, the ----------- may bebetter than themean.

mode median

range quartile

QuestionNo: 13 ( Marks: 1 ) - Please choose oneIfyou invest some amount at an interest rate of8%, then at the end of 9 years.What willbethevalue ofAccumulationFactor?

12.736 12.487 12.965 12.856

QuestionNo: 14 ( Marks: 1 ) - Please choose oneWhich of the following is not a measure ofcentraltendency

Percentile quartile standard deviation mode

Qu e s ti o nNo:1 5 ( Marks: 1 ) -Please choose oneIfthe dependent variableincreases with the independentvariable then the coefficient ofcorrelationis

0 to -1

0 to 0.5

0 to -2

0 to 1

Qu e s ti o nNo:1 6 ( Marks: 1 ) -Please choose one

There are 5 Rocksongs, 6 Carnatic songs and 3 Indian pop songs. How many differentalbums can be formedusing the above repertoireifthe albums shouldcontain at least1Rocksong and 1 Carnatic song?

15624 16384 6144 240


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QuestionNo: 17 ( Marks: 1 ) - Please choose oneIngiven Qrtly, data the first step in computing seasonalindex is calculating

4 qtrmoving average

Discard highest and lowestvalues

4 qtr. Moving total

2 qtr. Moving total

QuestionNo: 18 ( Marks: 1 ) - Please choose oneThevarianceis

Foundby dividingbyNby the mean.

In the same unit

s as the original data. Foundby squaring the standard deviation

Calculate by dividing the S.D. withmean

QuestionNo: 19 ( Marks: 1 ) - Please choose oneIfmany datapoints are close to the mean, then the standard deviationis -----------.

0 Small Large Middle value

QuestionNo: 20 ( Marks: 1 ) - Please choose oneIn a linearregression of y on x, y = a + bx,

the variance of x is constant forall values of y a fittedstraightline goes through (0, 0) Bothvariables have the same variance x is the explanatoryvariable

Question No: 21 ( Marks: 2 )


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The answer ofBINIMDIST is #NUM. Give the reason ofthis errormessage.

QuestionNo: 22 ( Marks: 2 )I f Y = a + 2 X,find the value of a when Y = 7 and x = 2.

QuestionNo: 23 ( Marks: 2 )What is the mode of the following data?

QuestionNo: 24 ( Marks: 3 )

Explain negative binomial distribution.

Qu e s ti o nNo:2 5 ( Marks: 3 )Construct a sample space S, ifyou toss a coin THREE times and observe the sequence ofheads ( H ) and tails ( T ) those appears.

QuestionNo: 26 ( Marks: 3 )Eleven subjects carried out the same taskusing a pocket calculator. Thetimes (inseconds) taken were: 69, 75, 83, 58, 95, 72, 86, 88, 77, 79, 90. Find the range & median.


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QuestionNo: 27 (Marks: 5 )Thelength oflife for a washingmachineapproximatelynormally distributed,with amean of 4 years and a S.D of 1.5 years. Ifthis type ofwashingmachineis guaranteedfor 12 months. Whatpercentage of the salewill requirereplacement?

QuestionNo: 28 ( Marks: 5 )If Sample space S = {1,2,3,..........,9}, event A ={2, 4, 6, 8} and event B ={1, 3, 5}Find theprobability ofA orB happening.

QuestionNo: 29 ( Marks: 5 )Find the mean, median, mode, and range for the following list ofvalues:1, 2, 4, 7

Quest

ionNo: 30 ( Marks: 10 )Find the Median , Midhinge , Midrange for the following data values:10, 13, 14, 12, 13, 19, 22,23,24

QuestionNo: 31 ( Marks: 10 )


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FINALTERMEXAMINATIONFall 2008

MTH302- Business Mathematics & Statistics (Session - 3)

QuestionNo:1 ( Marks:1 ) - Please choose one6!.......

720 (Correct) 620 420 520

QuestionNo:2 ( Marks:1 ) - Please choose one

Given : List

Price =5500Rs , Discount = 850Rs, then Net Cost

Price willbe 6350 Rs

6350 Rs

5508 Rs

5508 Rs

5585 Rs

4650 Rs (Correct)

QuestionNo:3 ( Marks:1 ) - Please choose oneThevalue of x aftersolving the following linearequationis

-2x + 6 = 4x - 2

0 3 1/2

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A = [1], then which statement is wrong about A?


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Oct. 7


A is a columnmatrix. A is a row matrix. A is an identitymatrix. A is not a square matrix. (Correct)

QuestionNo:5 ( Marks:1 ) - Please choose onePercentage is a ratio ofgiven numberwith standard number:

100 (Correct) Samenumber

1000 10

QuestionNo:6 ( Marks:1 ) - Please choose oneSum ofannuityis always

Present value

Future value (Correct)

Net present value

Currentvalue

Qu e s ti o nNo:7 ( Marks:1 ) -Please choose oneIfthe principal P is 900 rupees, timeperiodis 6 years and rate is 12% then the simpleinterestwillbe

648 (Correct) 658 668 678


In the equation Y = a +bX the formula to calculate b is

b =n xy x y n x 2 (x)2


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b =n xy x y

x 2 ( x)2

b =n

xy

x

y n x 2 (x)

b = xy x y n x 2 (x)2

QuestionNo:9 ( Marks:1 ) - Please choose oneP(A and B) = P(A) x P(B)

What does this formularepresent? (a) The events A and B are Dependent. (Correct) (b) The events A and B are Exclusive. (c) The events A and B are Independent. (d) Both (a) and (b)


Themoving averages represent ------------------

Time series variations Co-efficien0074 ofvariations Statistical Dispersion Absolutedeviation


Two dice are rolled and the numbers are added together. Theprobability of the total

being 12 is

True False (Correct)



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Oct. 7


Evaluate

6!

0!(6 6)!

0 10 120 720 (Correct)

QuestionNo:13 ( Marks:1 ) - Please choose oneWhich of the following terms is a measure of the centraltendency?

StandardDeviation

Variance

Average

None of these (Correct)

QuestionNo:14 ( Marks:1 ) - Please choose oneHow many arrangements can be made of the letterBUSINESS

6723 6725 6720

6721

Qu e s ti o nNo:1 5 ( Marks:1 ) -Please choose oneThere are 5 Rocksongs, 6 Carnatic songs and 3 Indian pop songs. How many differentalbums can be formedusing the above repertoireifthe albums shouldcontain at least1Rocksong and 1 Carnatic song?

15624 16384 6144 240

QuestionNo:16 ( Marks:1 ) - Please choose oneIn an exponential smoothingmodel, the weighting factor w is a number that falls

between and .

0; 1

-1; 1


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Oct. 7


-1; 0 4; 4 -2; 2

QuestionNo:17 ( Marks:1 ) - Please choose oneIn apositively skewed distribution

The mean, median, and mode are all equal.

The mean is larger than the median (Correct) Themedianis largerthan the mean.

The standard deviation must be largerthan the mean or the median.

Quest

ionNo:18 ( Marks:1 ) - Please choose oneForwhat purpose is the method ofleast squares used on time-series data? Itis used foreliminatingirregularmovements

Itis used forobtaining the trend equation.

Itis used fordeseasonalizing the data.

Itis used forexponentially smoothing a series.

Qu e s ti o nNo:1 9 ( Marks:1 ) -Please choose oneAll of the following are assumptions of the error terms in the simplelinearregressionmodelexcept

normality error terms with a mean ofzero constant variance variance ofone


Which one of the following statements is not true? Correlation shows a degree ofassociation between two variables. You can make anypredictions withresults ofcorrelation. Correlationhelps proceed furtherwithregressionanalysis. You can make Predictions on the base ofregressionequations.

QuestionNo:21 ( Marks:2 )


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Define frequency withexample.

Answer:The number of times a certain value or class of values occur.

QuestionNo:22 ( Marks:2 )Define Type-Ierror.

Answer:Statisticalprobabil ityin hypothesis testing that the test sample supports a conclusion thata valueis misstated when, in fact, the valueis correctly stated. Defined also as anincorrectdecision to reject something that should have been accepted, itis the mirrorimage of type 2 error. Ifthe level ofsignificance (called alphalevel) for a test resultis settoo high, the possibility of type 1 erroris reduced but the possibility of type 2 errorisraised by the same factor, and vice versa. Also calledalpha error oralpharisk.

Qu e s ti o nNo:2 3 ( Marks:2 )Acoin can be tossed in 3 ways. A die can be thrown in 6 ways. A coin and a die together can be

thrown in18.ways.

QuestionNo:24 ( Marks:3 )Determine two variableX and Y are correlated oruncorrelated by using the following table

X 0 4Y 2 2

QuestionNo:25 ( Marks:3 )Show that X and Y are uncorrelated by using the following table

X 2 4Y 3 3



Answer:It returns the probability that there willbe number_ffailuresbefore the number_s-th success, when theconstant probability of a success is probability_s. This functionis similar to the binomial distribution,exceptthat the number of successes is fixed, and the number oftrialsis variable. Like the binomial, trialsareassumed independent.


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Question No: 27 ( Marks: 5 )What willbe the

(XX)(YY)

=5.

QuestionNo:28 ( Marks:5 )On a final examinationin mathematics the mean was 72 and the standard deviationwas15. Determine the standard scores of students receiving marks(a) 60, (b) 93, (c) 72

QuestionNo:29 ( Marks:5 )a) Writeall the combinations of abcd taken 1 at a time.

Answer: 4!/1!(4-1)!= 4b) Writetheircombinations taken 2 at a time.Answer: 4!/2!(4-2)!= 4.3.2/2.2= 6c) Writetheircombinations taken 3 at a time.

Answer: 4!/3!(4-3)!= 4.3.2/3.2= 6d) Writetheircombinations taken 4 at a time.

Answer: 4!/4!(4-4)!= 1


Find the standard deviation and variance for 10 randomly selected data values :44, 50, 38, 96, 42, 47, 40, 39, 46, 50 .

Answer:

Standard Deviation = 19.99136

QuestionNo:31 ( Marks:10 )Find the mean, median, mode, and range for the following list ofvalues:13, 18, 13, 14, 13, 16, 14, 21, 13

Answer:Mean = 15(N=9) Median =14

Mode = 13Range = 13


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StudentID/LoginID

Name

PVC Name/Code

Date

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FINAL EXAMINATION

SEMESTER Fall 2004

Subject code MTH 302 (Fall-2004)

Total Marks: 50

Duration:150mins

Maximum Time Allowed: (2.5 Hours)

Please read the following instructions carefully before attempting any of thequestions:

1. Attempt all questions. Marks are written adjacent to each question.

2. Do not ask any questions about the contents of this examination from anyone.

a. If you think that there is something wrong with any of the questions, attempt it tothe best of your understanding.

b. If you believe that some essential piece of information is missing, make anappropriate assumption and use it to solve the problem.

c. Write all steps, missing steps may lead to deduction of marks.

d.You have to solve the questions on Excel sheet and dont use more thentwo Excel sheets to solve all the questions.

**WARNING: Please note that Virtual University takes serious note of unfair means.


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Anyone found involved in cheating will get an `F` grade in this course.

For Teachers use only

Question Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 To

Marks

Question No: 1 Marks

Class marks for grouped data as well as frequency against each class interval are given in the following table. Calculusing EXCEL total marks and mean.

Marks Frequency(f)

30 34 2

35 39 6

40 44 7

45 49 16

50 54 20

55 59 8

60 64 3

Question No: 2 Marks:


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For X and Y data calculate the StDev of X and Y, Cov(X,Y) and correlation between X and Y. Use only basic formuin the Worksheet.

X Y

6 120

12 200

8 150

14 170

7 150

Question No: 3 Marks: 5

Annual discount rate is 12%. Initial cost of investment 1 year from today is Rs.15000. Return from first year is R4000. Return from second year is 4500.

Return from third year is Rs. 6500. What is the net present value of this investment? Use Excel function NP


Plot the above data as actual data as well as moving averages.

Known Knowny x

2 6

3 5

9 11

1 7

8 5

7 4

5 4



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For the data shown below find simple averages, moving averages, actual trend and seasonal variations.

Day Period Data

1 Morning 270

Afternoon 340Evening 330

2 Morning 276

Afternoon 252

Evening 333

3 Morning 282

Afternoon 261

Evening 342

Question No: 6 Marks:5

For the data given below find seasonal variations and plot the data as a line graph.

Qtr Actual

1 242

2 154

3 2624 306

1 230

2 150

3 274

4 298

1 226

2 142

3 262

4 286


(a) There are 120 objects. The number of objects in each permutation is 4. Find the total number of permutations.

(b) Probability of success is 65%. What is the probability of 8 successes out of 9? Use BINOMDIST for t


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calculation.


(a) Number of events are 4. Expected mean is 10. What is cumulative Poisson probability for these events?

(b) Number of events is 4. Cumulative Poisson probability for these events is 0.19%. What is the Expect

mean? Use POISSON function using hit and trial method.


(a) Find proportion of bags which have weight in excess of 615 g.

Mean = 610. StDev = 3.0 g.

(b) What percentage of bags filled by the machine will weigh less than 607.5 g?Mean = 610 g; StDev = 3.0 g.


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omFINAL EXAMINATION

SEMESTER Fall 2005

MTH 302 (Business Mathematics & Statistics)

Total Marks: 50

Duration:150min

Maximum Time Allowed: (2:30 Hours)




a. If you think that there is something wrong with any of the questions, attempt itto the best of your understanding.




e. Solve the questions on excel sheet in usual manner i.e. from upward todownward not from left to right.

**WARNING: Please note that Virtual University takes serious note of unfair means.Anyone found involved in cheating will get an `F` grade in this course.


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Classes Frequency.

30-39 2

40-49 350-59 11

60-69 20

70-79 32

80-89 25

90-99 7


Question Q1 Q2 Q3 Q4 Q5 Total

Marks

Answers of Excel Sheet.


Find the product of matrices A and B, inverse of A and B. Also find the determinant of A and B. Using EXCELfunction

Where1 2 3 2 3 1

A =

4 5 6

, B =

3 2 4

7 8 9 5 4 2


a). Use Excel function NPV to find the net present value of investment when annual discount is 9%,initial cost of investment one year from today is 150000. Return from first year is Rs 22000. Return from

Second year is 45000; return from third year is 35000. Marks 5

b). Find the single discount rate that is equivalent to the series 20%, 15%, 9%.Marks 5


Find the mean and harmonic mean for the following data



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For the following data :

X 3 4 5 6 7 8 9 10

Y 25 24 20 10 19 17 16 13

a) Find the regression equation by calculating Slope and intercept Excel functions. Marks 5

b) Find Correlation coefficient and covariance. Marks 5


a) For the following data Marks 5Day Period. Data

1 Morning 68

Afternoon 29

Evening 78

2 Morning 41

Afternoon 72

Evening 61

3 Morning 58

Afternoon 89

Evening 60

a). Find the moving average. Also plot line graph of moving averages. Marks 5

b). A Surgery is successful for 55% patients. What is the probability of its success in at least 3 cases out of

randomly selected 5 patients. Use BINOMDIST of Excel function. Marks 5


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FINALTERM EXAMINATION

FALL 2007

MTH302 - BUSINESS MATHEMATICS & STATISTICS(Session - 3 )

Marks: 60


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StudentID/LoginID:

Student Name:

Center Name/Code:

Exam Date: Saturday, March 22, 2008

Please read the following instructions carefully before

attempting the paper: Duration : March 22, 2008 to March 24,

2008.

1- Take-home exams allow you to use notes, texts or resource materials while solving the

paper. Take-home exams test your ability to find and use information for problem solving

and to deliver well-structured and well-presented arguments and solutions.

All students must submit their paper on or before 24th March 2008. No relaxation in thetime for the submission shall be given

3- Attempt all the questions on one Excel Worksheet (use only sheet 1) to solve all

the questions. More than one sheet is not acceptable. If you solve any question on

sheet2, sheet3 and so on, it will not be graded.

4- Solve the questions on excel worksheet in usual manner i.e. from upward to downward

not from left to right.

5- Variables (say x, y, and z) are given in the questions you can assign any value to variable

within the range mentioned in the questions.

(e.g. A man sells shirts of Rs x and he gets a profit of 10%. Then find the profit. (25000


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6- Attempt all questions. Marks are written adjacent to each question.

7- Do not ask any questions about the contents of this examination from anyone.

If you think that there is something wrong with any of the questions, attempt it to the best

of your understanding.

If you think that some essential piece of information is missing, make an appropriate

assumption and use it to solve the problem.

8- Write all steps, missing steps may lead to deduction of marks.

9- you do not solve paper on Excel Sheet, you will get a zero mark. So paper on Word files

or any format other than Excel will not be graded.

For Teacher's use onlyQuestion 1 2 3 4 5 6 TotalMarks


a) A shopkeeper borrowed Rs 20000 from two money lenders, he paidX% interest on first loanand (X+2)% interest on second loan per annum. Where 6 X 25. After one year if he paidrupees 2500 in total then how much rupees he borrowed from each lender.

Marks 4

b) Find the compounded interest rate percent per annum, if Rs 2000 amounted to Rs 3000 in yyears ; y = 2, 3 ,4 (choose any one of them), Interest is considered half yearly.

Marks 4

c) Take x number of persons in any three families and divide each family in three categories No ofmen, No of women, No of children, and make their matrix. ( where 6 X 17)Since the recommended daily requirement of calories for three categories isMen = 2500gm, Women = 2000gm, Children = 1800gm,And the requirement of protein for three categories isMen = 55gm, Women = 45gm, children = 35gm,

Find the total requirement of calories and protein for each family, by using multiplication functionof matrices in Excel.Marks 4


a) Suppose you purchase a car, the cost of car is last six digits of your VU ID, if useful life of thecar is 5 years and the value of car at the end of deprecation is 25% of cost of the car then findsdeprecation for each year by using Excel function.

Marks 5


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b) Suppose a set of 50 cards numbered with 20 to 70 (Take integers only) , select 10 cards fromthem and make a data array of integers then find Mean, Median and Mode of the data.Marks 3


Take the each batsman score of batting line up of one inning from any cricket match you like inwhich at least 10 batsmen had made scores, make the data array of scores (Runs), from this data,

a) Find standard deviation and Variance. Marks5

b) Find all Quartiles and Quartile Deviation.Marks

5


The National Logistic Cell (NLC) is studying the relationship between the number of bidders on ahighway project and the winning (lowest) bid for the project.i) Sketch the original data on the graph.Marks 2ii) Determine is there any degree of association between number of bidders and the winning(lowest) bid? And what type of association is there between the number of bidders and the winning(lowest) bid. Marks 4iii) Determine the mathematical equation of the winning (lowest) bid on the number of bidders ona highway project. Then also estimate the amount of the winning bid if there are seven bidders.Marks 6

X=Number of Bidders Y=Winning Bid ($)

19 L(1000000)

19 (L+3)1000000

13 (L+4.7)1000000

20 (L+2.8)1000000

15 (L+2.7)1000000

20 (L+0.5)1000000

17 (L+3.3)1000000

21 (L+5.2)1000000

16 (L+0.5)1000000


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Income Brands Total

Brand1 Brand2 Brand3

Lower 200

Z

Middle

Upper

Total 150

16 (L+5.3)1000000

14 (L+3.0)1000000

17 (L+3.8)1000000

17 (L+4.4)1000000

17 (L+3.6)1000000

16 (L+3.1)1000000Note: Where 5


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StudentID/LoginID

Name

PVC Name/Code

Date


FINAL EXAMINATION

SEMESTER Spring 2005

Subject code MTH 302 (Business Mathematics & Statistics)

Total Marks: 50

Duration:150mins

Maximum Time Allowed: (2:30 Hours)









**WARNING: Please note that Virtual University takes serious note of unfair means.


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Y X

35 36

33 32

31 34

30 31

34 32

32 32

36 35

Anyone found involved in cheating will get an `F` grade in this course.

For Teachers use onlyQuestion Q1 Q2 Q3 Q4 Q5 Total

Marks


a) Calculate present value of annuity with the terms below:Money paid out of an insurance annuity at the end of every month = 1000;Interest rate earned on the money paid out = 12%;Years the money will be paid out = 12; use EXCEL function PV for calculations.

b) An order of power tools has a Rs. 2400 net price after a 35% trade discount, and then what is the price? Also find the single discount rate that is equivalent to the series 10%, 6%, 2%.


a) Calculate the (i) depreciation allowance for each year , and (ii) first days depreciation , using EXCsuitable EXCEL functions, for the following data:Initial cost = 35000, salvage value= 700, lifetime = 12 years.

b) For data given below, find the slope and intercept of the regression line. Use suitable EXCELfunction.



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Day Period Data

1 Morning 222

Afternoon 202Evening 240

2 Morning 233

Afternoon 215

Evening 256

3 Morning 245

Afternoon 255

Evening 260

For the data given below, calculate the moving average, actual- trend and seasonal variations. Also plothe seasonal variations and trend values using EXCEL chart wizard.


a) A fair coin is tossed four times. What is the probability of getting exactly two heads? Use suitableEXCEL function for calculations.

b) Find the inverse of normal cumulative distribution when arithmetic mean is 45, standard deviation1.25 and the probability corresponding to the normal distribution is 0.65. Use EXCEL functiNORMINV for calculations.


a) If the number of Bernoulli trails is 9, the probability of success on each trail is 0.5 and criterion va

is 0.6. Then find the smallest value for which the cumulative distribution is greater than or equacriterion value using EXCEL function CRITBINOM.

b) What is the normal cumulative function whenZ-value =1.25

Use suitable EXCEL function for calculations.


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StudentID/LoginID

Name

PVC Name/Code

Date 21stJanuary, 2006

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Largest Online Community of VUStudents

MIDTERM EXAMINATION

SEMESTER fall 2005

MTH302 Business Mathematics & Statistics

Total Marks: 40

Duration:90mins

Maximum Time Allowed: (One& half hour)







d. Attempt all the questions on Excel sheet and use only one excel sheet to solveall the questions. More then one sheets are not acceptable


**WARNING: Please note that Virtual University takes serious note of unfair


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means. Anyone found involved in cheating will get an `F` grade in this course.


Question Q1 Q2 Q3 Q4 Total

Marks

uestion No: 1 Marks 15

Short Questions:

Uses, suitable excel function, to complete these short questions.

Find the utility and provident fund, if the basic salary is 35000 (3.5)

Find average using Excel Function of these values 51,27,9,17 (3.5)

1 3 2 i) Calculate the determinant of

3 2 0

(4)

4 5 6

v) Ali buy ice cream for 10 Rs, he wants to sell to his friend for 15 Rs, What is the markup in Rs?

(4)

uestion No: 2 Marks: 10

FC=4345Rs, VC=Rs 165, S=194, Capacity=410 units. What unit sale will generate NI of Rs. 2500? Noat unit sold is 141.

uestion No: 3 Marks:10

nd multiplication of A & B and inverse of the matrix A, written below.

2 0 1 1 0 1

A =

3 4 5

, B =

0 4 0

1 3 1 2 1 3

uestion No: 4 Marks : 5


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The annual rate of interest is 9%. The period of the loan is 27 years. The present value is, 1150000Rs. Calculate using CUMIPMT Excel function total interest paid in the second year of payments, forperiods 10 through 25.What is the interest paid in a single payment in the first month?


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Students

MIDTERM EXAMINATION

FALL 2007


Marks: 45


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StudentID/LoginID:

Student Name:

Center Name/Code:

Exam Date: Friday, December 07, 2007

Please read the following instructions carefully before

attempting the paper: Duration : December 07, 2007 to

December 08, 2007.

1- Take-home exams allow you to use notes, texts or resource materials while solving the paper.

Take-home exams test your ability to find and use information for problem solving and to deliver

well-structured and well-presented arguments and solutions.

2- The Students shall collect the question papers from their respective PVCs\ExamCenters after marking their attendance positively by 02:00pm on 7

thDecember 2007.

They shall solve their papers at home during the given period of time. After solving theirpapers they may go to VULMS page and click on MTH302 course, then click on the linkAssignments and upload the solution file of the Paper where the button of uploadingMidterm Paper Fall 2007 is viewed or in case of any problem in uploading, they maysend their papers through email on the following address:

[email protected]

They must submit their papers by 8th

December 2007. No rela x ation in the time for the

submission shall be given

3- Attempt all the questions on one Excel Worksheet (use only sheet 1) to solve all

the questions. More than one sheet is not acceptable. If you solve any question on

sheet2, sheet3 and so on, it will not be graded.

4- Solve the questions on excel worksheet in usual manner i.e. from upward to downward

not from left to right.

5- Variables (say x, y, and z) are given in the questions you can assign any value to variable

within the range mentioned in the questions.

(e.g. A man sells shirts of Rs x and he gets a profit of 10%. Then find the profit. (25000


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Solution: Here we can take x as any value between 25000 to 30000.

Take x = 26000

Profit = 26000*10/100 = 2600 Rs Answer

Or

Take x = 26500

Profit = 26500*10/100 = 2650 Rs Answer )

6- Attempt all questions. Marks are written adjacent to each question.

7- Do not ask any questions about the contents of this examination from anyone.

If you think that there is something wrong with any of the questions, attempt it to the best

of your understanding.

If you think that some essential piece of information is missing, make an appropriate

assumption and use it to solve the problem.

8- Write all steps, missing steps may lead to deduction of marks.

9- The main restriction for Take Home Exams is that it must be your own workyou must

attempt it by yourself without any outside help. You can't copy chunks of text directly from

textbooks or notes. This counts as plagiarism.

10- If you do not solve paper on Excel Sheet, you will get a zero mark. So paper on Word

files or any format other than Excel will not be graded.

**WARNING: Please note that Virtual University takes serious note of unfairmeans.

Anyone found involved in cheating shall get an `F` grade.

For Teacher's use onlyQuestion 1 2 3 4 Total

Marks


Things to remember

Successive Discount is the discount which is calculated on the previously discounted value. Cash Discount is the discount offered by an agreement in favor of returning the credit in

time. In the marketing chain described in lectures, there are more than one person between the

manufacturer and the end user. Let us define this chain asManufacturer Distributor Wholesaler Retailer Buyer

Suppose you are CEO of a manufacturing company of plastic canes, bottles, and boxes and beingCEO, you have to take all the decisions. Today, you have received an order of x units from one ofyour regular clients. You have to consider operating expenses, Gross profit, and depreciationallowance of the assets. (990


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To carry out this order you buy raw material costing Z and by agreement after paying 20% in cashif rest of the amount will be paid within 20 days of delivery, you will get 3% discount. If you delayit you will be liable to pay 14% annual interest on the amount you were liable to pay. Suppose, thewhole product you sell as a retailer is making more net profit of 5% (more than expected) on saleprice. (1000000


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You took a loan of L and have to pay it off at 12% annual interest rate in payments of 12 years.First, calculate the payment per period at the end of each period. Now when you pay it back withinterest in this manner, you will be paying a certain part of Principal amount as well as interest ateach payment. Here you are required to find interest and principal amount paid at each paymentperiod. Show it in columns and in the end find the cumulative interest and principal you paid. Keepthis thing in mind that the entity that gives you loan will take interest at the outstanding loan aftereach period. (200000


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StudentID/LoginID

Name

PVC Name/Code

Date


MIDTERM EXAMINATION

SEMESTER SPRING 2005

MTH302 Business Mathematics & Statistics

Total Marks: 35

Duration:60mins

Maximum Time Allowed: (1 Hour)







d. Attempt all the questions on Excel sheet and use only one excel sheet to solveall the questions. More then one sheets are not acceptable



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**WARNING: Please note that Virtual University takes serious note of unfairmeans. Anyone found involved in cheating will get an `F` grade in this course.


Question Q1 Q2 Q3 Q4 Q5 Q6 TotalMarks


The annual rate of interest is 13%. The period of the loan is 10 years. The present value is200, 0000 Rs. Calculate using CUMPRINC Excel function total interest paid in the secondYear of payments, for periods 13 through 24.What is the principal paid in a singlepayment in the first month?


The Cost is 100,000. The date of purchased is 19/06/1981 and the first period ended on 31/12/1981.Salvagevalue is 300.Using actual Basis find first period depreciation with the help of AMORDEGRC EXCELFUNCTION if the depreciation rate is 15%.



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Calculate IRR after 4 years, 5 years and 2 years. With a guess of10%:

Initial cost of a business -100,000

Net income for the first year 10,000

Net income for the second year 17,000

Net income for the third year 20,000

Net income for the fourth year 18,000

Net income for the fifth year 26,000


If FC =2000, S = 300, Capacity = 400 units, VC=160. Determine the BEP as % of capacity if FC isIncreased to Rs.4600 and VC reduced to 80% of S.


Fawads Appliances bought a Motor bike for Rs. 41,500.To make the desired profit; he needs a 60%

Markup on Cost. What is Fawads Rs. Markup? What is his Selling price?


6) Find multiplication and determinant of the two matrices writtenBelow

2 0 1 1 0 1

A =

3 4 5

, B =

0 41 0

1 3 1 0 1 1


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http://vujannat.ningcom


MIDTERM EXAMINATION

SPRING 2007


Marks: 45

Time: 90min

StudentID/LoginID:

Student Name:

Center Name/Code:

Exam Date: Saturday, May 19, 2007

Please read the following instructions carefully before attempting any of the

questions:

1. Attempt all questions. Marks are written adjacent to each question.2. Do not ask any questions about the contents of this examination from

anyone.

a. If you think that there is something wrong with any of the questions,attempt it to the best of your understanding.

b. If you believe that some essential piece of information is missing, makean appropriate assumption and use it to solve the problem.


d. Attempt all the questions on Excel sheet and use only one excel sheet tosolve all the questions. More then one sheets are not acceptable




For Teacher's use only


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Question 1 2 3 4 5 TotalMarks



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a) Ahmad is planning to invest Rs.30000 into an account which is paying 11.50% interestcompounded annually for 6 years and 6 months. Find the amount in the account of Ahmad after thespecified time period if he does not draw amount from the account during that period.

Marks 5

b) Ali takes the loan worth Rs 130000.It will be returned in 5 years by monthly payments, at the

end of each month. The annual interest rate is 5%.Find the cumulative interest paid on the loan inthe third year of payments i.e. payment period 25 to 36.Also finds what is the interest paid in asingle payment in the first month?

Marks 5


(a) If13 2 6 11 12 63 9 0

9 14 3

8 4 1 4 8 5

A= & B=Then find out inverse of matrix A and product of matrix A and B. Also find out Determinant ofeach matrix.

Marks=5

(b) Find the amount of an Annuity after 10 years whose periodic payment is Rs.16350 payable atthe end of each year. Also the interest rate is 12% compounded annually.

Marks=5


(a) Solve the Linear equations for both variables involved.5X+9Y=206X-7Y=25

Marks=5

(b) Jamil deals in the business of headphones and he sells a headphone for Rs.250. Now to makedesired profit, he needs a 30% mark up on selling price. What is the cost of a headphone? Also find

out the Markup on a headphone.

Marks=5


(a) The original price of a machine was 250000 which marked down by 8%. Find the selling priceof the machine. Also if there is series discount of 20%, 15% and 5% then find the net price of themachine while taking the original price of the machine as list price.

Marks 5


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(b) Investments of Yasir, Adeel and Ahsan are 5000, 15000, 10000 respectively. Find the ratioamong their investments also find the share of each person if the profit at the end of the year isgiven by 18000.

Marks 5


Calculate using DB function,Depreciation in 1st year with 5 months calculatedDepreciation in 2nd year, with 6 months calculatedDepreciation in 3rd year with 8 months calculatedDepreciation in 4th year with 7 months calculated

By using the information given below,Initial cost = 2000000Salvage value = 10000Life time = 7 years


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MIDTERM EXAMINATION

SPRING 2007


Marks: 45

Time: 90min

StudentID/LoginID:

Student Name:

Center Name/Code:



questions:


anyone.










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a) David bought a Mercedes taking out a loan for30,000$ to help pay for it. He must repay theloan in equal monthly payments for11 years with an annual interest rate of6% what is hismonthly payment?

Marks 5

b) Find the simple interest on 6 months loan ofRs. 55,000 has an annual interest rate of9%?

Marks 5


a) Multiply the following matrices (using excel formulation) .Also write under what conditiontwo matrices can be multiplied.

2 3 1 2 1 3 5 1 1 2

3 1 4 1 9

A = & B =

Marks 5

b) A company gives a series discounts of15%, 8%& 5% on the product whose cost price is650000 Rs. Find the net price. If another company gives a discount of20% on same product .Findout which company is selling the product at lower price?

Marks 5


a) The basic salary of a person working in a Company is 12,000 Rs. The house rent allowance is45% of basic salary also conveyance allowance is 2.5% of basic pay. The person is a permanentemployee so will be given provident fund at the time of retirement. Hence a deduction of1/11th

part of salary is made every month. The employee also enjoys the facility of medical insurancewhich is 5% of basic salary and social charges 5.8% of basic salary. Find the actual remunerationof the person per month. Using Excel round your answer at each step up to 2 decimal places?

Marks 5

b) The Cost is 100,000. The date of purchased is 20/05/2000 and the first period ended on

31/04/2001.Salvage value is Rs 500.Using actual Basis find first period depreciation with the helpof AMORDEGRC EXCEL FUNCTION if the depreciation rate is 15%.

Marks 5


a) Calculate IRR after 4 years, 5 years and 2 years. With a guess of 10%:

Initial cost of a business -75000Net income for the first year 25,000


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Net income for the second year 35,000Net income for the third year 56,000Net income for the fourth year 43,000Net income for the fifth year 62,000

Marks 5b) Find the depreciation allowance for twelfth year if initial cost is Rs 55,000, Salvage value isRs. 7560 and years of useful life are 12 years.

Marks 5


a) The selling price of a product is Rs 200per unit. Variable cost associated with producing andselling the product is Rs 120. Assume that the fixed cost related to the product is 2,500 Rs. How

much units the firm should sell to break even.b) If production capacity is 125 units per period, find BEP as percentage of capacity

Marks 5


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MIDTERM EXAMINATION

SPRING 2007


Marks: 45

Time: 90min

StudentID/LoginID:

Student Name:

Center Name/Code:



questions:


anyone.










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a) After mixing with water the volume of milk increased from 15 litres to 19 litres. Find thepercent change

Marks 3

b) If possible then find AB & BA other wise give reason.9

A = 3 7 5 ,B = 6

2 3 0 0

Marks 2


a) An organization signed a three years contract that provided for pay increases 5%, 7% & 4% in

successive years. An employee is currently earning 15000 per month. What will be the salary permonth at the end of the term of the contract?( Round your answer to 0 decimal places)

Marks 5

b) A departmental store sold a B-pair 3-piece suit at a 33.33% loss. The amount the owner of thedepartmental store lost was 550 .What was selling price of a such suit. ( Round your answer to 0decimal places)

Marks 5


a) In what time will Rs.3000 amount to 3646.50 at 5% compounded annually? ?( Round youranswer to 0 decimal places)

Marks 5b) Find the Multiplicative inverse & Determinant of following matrices.(Use Excel Functions)

1 0 6 9A = ,B =

3 9 2 3

If not possible then give reason.

Marks 5


a) Three partners invested Rs.18000, Rs.16500 & 12500 respectively. If the third partner gotRs.4625 as profit.What was

1) The total profit.2) Profit of Ist & 2ndpartners.


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Marks 5

b) Find First period depreciation:if Cost = 25000

Date purchased = 07/04/2007.End of the first period =09/06/2007Salvage value =1750Period = 1

Depreciation rate =15% (Use AMORLINC function)

Marks 5


a) Jamal electronics bought a ceiling fan for Rs.1500.To make the desired profit, they need a 17%mark up on cost. What is their Mark up in Rs.?

Marks 5

b) Use FV function of Excel to find future value when you have to pay a specific amount in

number of payments is 42 at a rate of 2500 Rs per payment and annual interest rate is 15% andpayment is due at the beginning of period.

Marks 5


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MIDT ERM EXAM INATION

Spring 2009MTH302- Business Mathematics & Statistics

Time: 60 minMarks: 40

Question No: 1 ( Marks: 1 ) - Please choose oneA, 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 altogether342 runs.

How many runs didA make?

162 108 72 112

Qu e s ti o nNo:2 ( Marks:1 ) - Please choose oneTheprice of a P4 computer was $12000 last year. What is theprice of the computer forthis yearifthepriceis decreased by 10%?

$12000

$12500

$10800

$9000

Qu e s ti o nNo:3 ( Marks:1 ) - Please choose oneFourfriends take an IQ test. Theirscores are 96, 100, 106, 114. Which of the followingstatements is true?

The mean is 103.

The mean is 104. Themedianis 100. Themedianis 106.


100


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Samenumber

1000 10

Qu e s ti o nNo:5 ( Marks:1 ) - Please choose oneThe Virtual University of Pakistan is a growing distant learning university ofPakistan. The number of students in the university is increasing each year. Thenumber ofregistered students in a course related to business math last yearwas7113 and itis increased up to 9242 this year. What is the percentage increaseinthe 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 mn and pq respectively and m>nand pp m


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Yes No

QuestionNo:10 ( Marks:1 ) - Please choose oneNetprice =

Listprice +trade discount

Listprice - trade discount

Listprice/trade discount

Listprice * trade discount

QuestionNo:11 ( Marks:1 ) - Please choose oneDivision. Symbol: / is a type of

Comparisonoperators

Concatenationoperator

Referenceoperators

Arithmeticoperators

QuestionNo:12 ( Marks:1 ) - Please choose oneGiven : ListPrice =5500Rs , Discount = 850Rs, then Net CostPrice willbe

6350 Rs

6350 Rs

5508 Rs

5508 Rs

5585 Rs

4650 Rs

QuestionNo:13 ( Marks:1 ) - Please choose oneTo convert a numberinpercent (%) from a fraction, we do which of the following


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operation: add by 100

subtract by 100

multiplyby 100

divideby 100


Qu e s ti o nNo:1 4 ( Marks:1 ) - Please choose one

If Ais the matrix ofdimension2 3

and Iis the identitymatrix ofdimension33

. Thenwhich ofthefollowing is true

AI = I

AI = A A + I = A

A + I = I

Qu e s ti o nNo:1 5 ( Marks:1 ) - Please choose oneIfratio of boys and girls in a class is 7: 5, which of the following cant be the total numberof the students in the class?

36

50

60

120

QuestionNo:16 ( Marks:1 ) - Please choose oneSLNreturns the straight-linedepreciation of an asset for

Zeroperiod

Oneperiod Twoperiods


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C=

C= 2

Oct. 7


Threeperiods

QuestionNo:17 ( Marks:1 ) - Please choose oneAssume 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 yearperiod you will start

withdrawing yourretirementliving expenses from that account at the beginning of everyyear. This financialplaninvolves a problemwhile you are working and aproblemwhile 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 annuitydue a future value of an annuity due, a present value of an ordinaryannuity a future value of an ordinaryannuity, a present value of an annuitydue a future value of an ordinaryannuity, a present value of an ordinaryannuity


1 2 1 A = 2 1 2

3 1 3 B =2 2 3

By multiplying the above two matrices we get the following result5

8 9

9

C= 7 17

9 1 17

Given matrices cannot be multiplied

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Question No: 19 ( Marks: 1 ) - Please choose onewhich of the following is linearequation

2x-3y=-6

x+x+x

520xy

y^2 -3=0

QuestionNo:20 ( Marks:1 ) - Please choose oneGiven FC= Rs.5000 ,CM= Rs. 30 ,VC= Rs . 150 , Capacity= 320units then BEP in units =

4500 units

167 unit

s33 units16 units

QuestionNo:21 ( Marks:2 )Find the Discount wherepriceis 2000 and discount rate is 12%.

QuestionNo:22 ( Marks:3 )Calculate compound interest earned on Rs. 2250 invested at 8%per annum for 6 years


Ifthe Basic salary of an employeeis Rs 8000 and Allowances are Rs 4,000 . What are thecost on account of 20 casual and 10 sickleaves per yearifnormalworking days per monthare 26?

QuestionNo:24 ( Marks:10 )Theprice ofmedicineinventoryis Rs. 500,000.

The series discounts are 20%, 10%, 5%.What is the single equivalentdiscountrate?

if Invoice was dated May 1st

and 10% discount is offered if invoice ispaid upto 10thMay. What will be net payment forinvoice value ofRs. 500,000 ifpaidup to 10th May.


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FINALTERM EXAMINATIONFall 2008


QuestionNo:1 ( Marks:1 ) - Please choose one6!.......

720 (Correct) 620 420 520


6350 Rs

6350 Rs

5508 Rs

5508 Rs

5585 Rs

4650 Rs (Correct)

QuestionNo:3 ( Marks:1 ) - Please choose oneThevalue of x aftersolving the following linearequationis

-2x + 6 = 4x - 2

0 3 1/2 4/3


A = [1], then which statement is wrong about A?


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A is a columnmatrix. A is a row matrix. A is an identitymatrix. A is not a square matrix. (Correct)


100 (Correct) Samenumber

1000 10


Sum ofannuit

yis always

Present value

Future value (Correct)

Net present value

Currentvalue

Qu e s ti o nNo:7 ( Marks:1 ) -Please choose oneIfthe principal P is 900 rupees, timeperiodis 6 years and rate is 12% then the simpleinterestwillbe

648 (Correct) 658 668 678


In the equation Y = a +bX

the formula to calculat

e b is

b =n xy x y n x 2 (x)2


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b =n xy x y

x 2 ( x)2

b =n

xy

x

y n x 2 (x)

b = xy x y n x 2 (x)2

QuestionNo:9 ( Marks:1 ) - Please choose oneP(A and B) = P(A) x P(B)

What does this formularepresent? (a) The events A and B are Dependent. (Correct) (b) The events A and B are Exclusive. (c) The events A and B are Independent. (d) Both (a) and (b)


Themoving averages represent ------------------

Time series variations Co-efficien0074 ofvariations Statistical Dispersion Absolutedeviation


Two dice are rolled and the numbers are added together. Theprobability of the total

being 12 is

True False (Correct)



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Evaluate

6!

0!(6 6)!

0 10 120 720 (Correct)

QuestionNo:13 ( Marks:1 ) - Please choose oneWhich of the following terms is a measure of the centraltendency?

StandardDeviation

Variance

Average

None of these (Correct)

QuestionNo:14 ( Marks:1 ) - Please choose oneHow many arrangements can be made of the letterBUSINESS

6723 6725 6720

6721

Qu e s ti o nNo:1 5 ( Marks:1 ) -Please choose oneThere are 5 Rocksongs, 6 Carnatic songs and 3 Indian pop songs. How many differentalbums can be formedusing the above repertoireifthe albums shouldcontain at least1Rocksong and 1 Carnatic song?

15624 16384 6144 240

QuestionNo:16 ( Marks:1 ) - Please choose oneIn an exponential smoothingmodel, the weighting factor w is a number that falls

between and .

0; 1

-1; 1


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-1; 0 4; 4 -2; 2

QuestionNo:17 ( Marks:1 ) - Please choose oneIn apositively skewed distribution

The mean, median, and mode are all equal.

The mean is larger than the median (Correct) Themedianis largerthan the mean.

The standard deviation must be largerthan the mean or the median.

Quest

ionNo:18 ( Marks:1 ) - Please choose oneForwhat purpose is the method ofleast squares used on time-series data? Itis used foreliminatingirregularmovements

Itis used forobtaining the trend equation.

Itis used fordeseasonalizing the data.

Itis used forexponentially smoothing a series.

Qu e s ti o nNo:1 9 ( Marks:1 ) -Please choose oneAll of the following are assumptions of the error terms in the simplelinearregressionmodelexcept

normality error terms with a mean ofzero constant variance variance ofone


Which one of the following statements is not true? Correlation shows a degree ofassociation between two variables. You can make anypredictions withresults ofcorrelation. Correlationhelps proceed furtherwithregressionanalysis. You can make Predictions on the base ofregressionequations.



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Define frequency withexample.

Answer:The number of times a certain value or class of values occur.

QuestionNo:22 ( Marks:2 )Define Type-Ierror.

Answer:Statisticalprobabil ityin hypothesis testing that the test sample supports a conclusion thata valueis misstated when, in fact, the valueis correctly stated. Defined also as anincorrectdecision to reject something that should have been accepted, itis the mirrorimage of type 2 error. Ifthe level ofsignificance (called alphalevel) for a test resultis settoo high, the possibility of type 1 erroris reduced but the possibility of type 2 errorisraised by the same factor, and vice versa. Also calledalpha error oralpharisk.

Qu e s ti o nNo:2 3 ( Marks:2 )Acoin can be tossed in 3 ways. A die can be thrown in 6 ways. A coin and a die together can be

thrown in18.ways.

QuestionNo:24 ( Marks:3 )Determine two variableX and Y are correlated oruncorrelated by using the following table

X 0 4Y 2 2

QuestionNo:25 ( Marks:3 )Show that X and Y are uncorrelated by using the following table

X 2 4Y 3 3



Answer:It returns the probability that there willbe number_ffailuresbefore the number_s-th success, when theconstant probability of a success is probability_s. This functionis similar to the binomial distribution,exceptthat the number of successes is fixed, and the number oftrialsis variable. Like the binomial, trialsareassumed independent.


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Question No: 27 ( Marks: 5 )What willbe the

(XX)(YY)

=5.

QuestionNo:28 ( Marks:5 )On a final examinationin mathematics the mean was 72 and the standard deviationwas15. Determine the standard scores of students receiving marks(a) 60, (b) 93, (c) 72

QuestionNo:29 ( Marks:5 )a) Writeall the combinations of abcd taken 1 at a time.

Answer: 4!/1!(4-1)!= 4b) Writetheircombinations taken 2 at a time.Answer: 4!/2!(4-2)!= 4.3.2/2.2= 6c) Writetheircombinations taken 3 at a time.

Answer: 4!/3!(4-3)!= 4.3.2/3.2= 6d) Writetheircombinations taken 4 at a time.

Answer: 4!/4!(4-4)!= 1


Find the standard deviation and variance for 10 randomly selected data values :44, 50, 38, 96, 42, 47, 40, 39, 46, 50 .

Answer:

Standard Deviation = 19.99136

QuestionNo:31 ( Marks:10 )Find the mean, median, mode, and range for the following list ofvalues:13, 18, 13, 14, 13, 16, 14, 21, 13

Answer:Mean = 15(N=9) Median =14

Mode = 13Range = 13


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$19,992 $22,008 $23,520

$29,400

Oct. 7


MIDTERM EXAMINATIONSpring 2009


Time: 60 min


3x2 + 5x 7 is --------------- expression.

Monomial Binomial Trinomial Linear


Given Old Saleprice= $1.95 , Markdown rate =13.6% ,then $Mark down willbe

$ 0.27

$ 0.72

$ 0.66

$ 0.92

Qu e s ti o nNo:3 ( Marks:1 ) - Please choose oneYou purchase equipment for $42,000, minus trade discount of30% ,20% ,15%. Tradediscountwillbe


The netprice of a computertableis 2500 and listprice 3000. The trade discountwillbe



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13%

17%

21%

25%


What resultwillI get when press enter in cell D9?

75 B5+C5+D5+E5+F5

Error Cannot be determine

QuestionNo:6 ( Marks:1 ) - Please choose oneGiven a matrixA and B such that



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3 2 0 5A = ,B = 9 2 9 8

A-3B willbe equalto

3 13

18

3

22 3

0 6

3 3

18 63 3

18 0

QuestionNo:7 ( Marks:1 ) - Please choose oneIf x% of a numberis y, then the number is

yx

100

100x

y

100

yx

xy100

100


6350 Rs

6350 Rs

5508 Rs

5508 Rs

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5585 Rs

4650 Rs

QuestionNo:9 ( Marks:1 ) - Please choose oneAll formulain Excel start with

+ = - %


The break evenpointis apoint when ---------------------- Revenueis greater than cost. Revenueis less than cost. Revenueis exactly equal to cost. None of the above.


The costprice ofcertainitemis Rs 50 and its sellingpriceis Rs 80. What is the markuppercentage?

50%

60% 70% 80%


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The answer of the above formulais #VALUE!. The reason ofthis answeris

Inverse of the matrix does not exist. It has one blankcell.

Number of rows and columns are equal. The keys CTRL+SHIFT+ENT ERwere not pressed simultaneously.

QuestionNo:1 3 (Marks:1 ) - Please choose oneIf I is an identitymatrix then it must also be a

rectangularmatrix

row matrix columnmatrix scalarmatrix

QuestionNo:14 ( Marks:1 ) - Please choose oneOrder of a Matrix =

Number ofColumns xNumber ofRows

Number ofRows / Number ofColumns

Number ofRows x Number ofColumns None ofthese

QuestionNo:1 5 (Marks:1 ) - Please choose oneAccording to the local laws, the allowances are considered tax free ifthey are up to



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halfof the basic salary one fourth of the basic salary one third of the basic salary 55% of the basic salary

Qu e s ti o nNo:1 6 ( Marks:1 ) - Please choose oneTheBasic salary of an employeeis Rs 7,000 and the allowances are Rs 3000. Then the socialcharges willbe ------------------------------------.

Rs 2030 Rs 2900 Rs 2500 Rs 2150

QuestionNo:17 ( Marks:1 ) - Please choose oneEverypercentage can be converted into:

Decimal Ratio

Proportion Bothdecimal& ratio

QuestionNo:18 ( Marks:1 ) - Please choose oneSum ofannuityis an accumulated amount of:

Originalpayments and discount

Originalpayments and interest Interest and the payment yet not paid

Compoundinterest

QuestionNo:19 ( Marks:1 ) - Please choose oneThemarginis the difference between the sellingprice and the .

Profit

Revenue

Cost

tax

Qu e s ti o nNo:2 0 ( Marks:1 ) -Please choose oneIfthe basic salary is Rs 6500 and the social charges are Rs 1820, what percentage ofbasicsalary are the socialcharges?

27 %



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28 % 29 % 30 %


Find the average ofgiven Data: 10, 17, 19, 27, 22

QuestionNo:22 ( Marks:3 )Theprice of an item was Rs. 1500 and increased by 15%. What is the newprice?

Qu e s ti o nNo:2 3 ( Marks:5 )The average marks of 10 students in mathematics are 45. Suppose two of them areexcluded from the list. Ifboth have the same marks, what willbe the marks of each

excluded student, ifaverage marks oftheremaining 8 students are 40?

QuestionNo:24 ( Marks:10 )Itis advised by the exam department of an institute to the assistant to develop astructure ofmarks obtained by three students in three different subjects for very quickview& analysis with the followinginstructions to be followedstrictly as;

1) marks obtained by EACH student in E V ER Y subject2) marks in EACH subject be obtained by EV ER Ystudent.

Also describe&justify the optimality of the structure. Ifsuch modelispossible thensuggest its furtherextension for numerous numbers of students.



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Connecting VUStudents

1FINALTERM EXAMINATION

SPRING 2006

MTH302 - BUSINESS METHAMATICS & STATISTICS(Session - 2 )

Marks: 50

Time: 150min

StudentID/LoginID:

Student Name:

Center Name/Code:

Exam Date: Saturday, August 26, 2006

Please read the following instructions carefully before attempting anyof the questions:


2. Do not ask any questions about the contents of this examinationfrom anyone.

a. If you think that there is something wrong with any of thequestions, attempt it to the best of your understanding.

b. If you believe that some essential piece of information ismissing, make an appropriate assumption and use it to solvethe problem.


d.You have to solve the questions on Excel sheet and dont usemore then

one Excel sheets to solve all the questions.

e. Solve the questions on excel sheet in usual manner i.e. fromupward to downward not from left to right.

**WARNING: Please note that Virtual University takes serious note ofunfair means. Anyone found involved in cheating will get an `F` grade in thiscourse.

For Teacher's use onlyQuestion 1 2 3 4 5 Total

Marks


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X f

1 2

2 83 24

4 52

5 31

6 11

Marks Frequency30-34 3

35-39 6

40-44 8

45-49 15

50-54 19

55-59 9

60-64 4



2Question No: 1 ( Marks: 10 )

a) Use EXCEL function NPV to find the net present value of an investment, whenannual discount rate is 12%, initial cost of investment one year from today is50,000. Return from first year is Rs. 5000; Return from second year is 7500;Return from third year is 10,000.

b) Determine whether by using EXCEL functions A * B = B * A by the followingMatrices.

1 2 5 2 1 3 1 1 0

1 0 5

2 3 1 0 2 1

A = B =


For the distribution, calculate the Mean, The Mean Deviation from Mean, Median, And theMean deviation from the Median.


a) Find the Standard deviation for the following grouped data using EXCEL function.

b) A committee of 4 must be chosen from 3 women and 4 men. Calculate.


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X Y

57 71

62 70

60 66

57 70



3i. In how many ways the committee cab be chosen.

ii.In how many ways 2 men and 2 women can be chosen.


a) Find the Covariance and Coefficient of correlation for the data given below usingEXCEL functions

b) Find 30th

and 70th

percentile from the given data.

59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47


a) In a college 40% students are girls. How likely is that a random sample of 200students contains 40 or more girls?

b) Calculate the cumulative Poisson probability with the following terms.Number of events = 15, expected mean = 20

mth302 collection of old papers

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