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Quantitative Techniques in Management all blocks MBA SEM 1

1st Block Assessment

Case Study

Below is the percentage bar diagram according to percentage expenditure of two families. Family A and Family B on several items. Read the bar graph and answer the following questions asssuming the total expenditure value for Family A as 1000 and for family B as 500. Item names

Family A ( %

expenditure)

Family B ( %

expenditure)

Food 50 60

Electricity Bill 20 12

Rent 15 16

Water Bill 5 4

Miscellaneous 10 8

Question 1

The breadth of the bars representing the percentage expenditure denotes ________

Ratio of total expenditure of the families

Ratio of percenatge expenditure of the families

the ratio of number of members in the family

None of these

Question 2

In this percentage bar diagram the length of the bars _______

depends on the number of members of family

always remains same

depends upon the number of items spent on

none of these

Question 3

Percentage expenditure of Family A on Food is _______

65%

52%

55%

50%

Question 4

The value of expenditure of Family B on Miscellaneous is ________

50

40

55

30

Question 5

The value of expenditure of Family A on Electricity Bill is ________

450

120

100

200

Question 6

Difference between the percentage expenditure of Family A on Water Bill and

Miscellaneous is ________

5%

10%

2%

12%

Question 7

“The Cumulative percentage of expenditure for Family A on Food , Electricity

Bill and Rent is _______ ”

88%

75%

85%

70%

Question 8

Sum of the expenditure value of Family A and Family B on Food is_________

800

260

250

900

Question 9

Difference between the percentage expenditure of Family A and Family B on

Water Bill is________

20%

2%

1%

10%

Question 10

Difference between the expenditure value of Family A and Family B on Rent

is ______

100

75

200

70

Quiz Score: 100 out of 100

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2nd Block Assessment

Case Study

Below is a table given for a continuous frequency distribution. Study the table and answer the questions.

Class

Interval

Frequency

30-40 2

40-50 10

50-60 7

60-70 8

70-80 12

80-90 6

90-100 9

Question 1

The Arithmetic Mean of the given distribution is ___________

55.54

62.5

68.3

65

Question 2

The mode of the given distribution is ____________

70

74

12

70.5

Question 3

The median of the given distribution is ______________

65

72

70

70.5

Question 4

“In the short cut method of finding Arithmetic mean ” f ” stands for _______”

function

frequency

sum of frequency

none of these

Question 5

Assumed mean of a given data is the _________ of data

first value

last value

middle value

all of the above

Question 6

The Coefficient of Range for the given distribution is _________

0.54

0.35

0.7

0.4

Question 7

The Variance for the given distribution is _________

440

470.78

456.26

None of these

Question 8

The Standard Deviation of the given distribution is __________

20.97

21.69

32.3

None of these

Question 9

The ________ of Standard deviation is known as Variance

Square root

Integral

Derivative

Square

Question 10

“To find the mean deviation from mean, what amongst the following must be found?”

deviation of class intervals from mean

deviation of mean from mid point

deviaion of median from mid point

deviation of frequency from mean

Quiz Score: 100 out of 100

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3rd Block Assessment

Case Study

Consider the table below showing the cost of a fast – food hamburger meal and the cost of two movie tickets in 10 cities around the world (extracted from K. Spors, “Keeping Up with … Yourself,” The Wall Street

Journal, April 11, 2005, p.R4). Answer the following questions based on the following data.

City Hamburger Movie Tickets

Tokyo 5.99 32.66

London 7.62 28.41

New York 5.75 20

Sydney 4.45 20.71

Chicago 4.99 18

San

Francisco

5.29 19.5

Boston 4.39 18

Atlanta 3.7 16

Toronto 4.62 18.05

Rio de

Janeiro

2.99 9.9

Question 1

The Range of regression coefficient is __________

-∞ to +∞

0 to 1

-∞ to 0

-1 to +1

Question 2

Taking Hamburger and Movie tickets as X & Y variables respectively, the

value of Sum of X errors when squared is ________

11.21

23.42

10.02

15.04

Question 3

Taking Hamburger and Movie tickets as X & Y variables respectively, the value of Sum of Y errors when squared is ________

294.23

361.41

320.34

190.41

Question 4

Taking Hamburger and Movie tickets as X & Y variables respectively, the value of product of X and Y errors is ________

61.54

34.29

37.21

54.92

Question 5

Taking Hamburger and Movie tickets as X & Y variables respectively, the value of Standard Deviation of X is ______

0.21

4.29

1.29

3.21

Question 6

Taking Hamburger and Movie tickets as X & Y variables respectively, the value of Standard Deviation of Y is ______

3.09

4.29

6.33

8.21

Question 7

Co – variance value between X & Y variables is _____________

3.98

5.32

6.11

6.83

Question 8

Taking Hamburger and Movie tickets as X & Y variables respectively, the

value of coefficient of correlation “r” is _________

0

0.13

0.83

-0.67

Question 9

The estimated value of correlation coefficient for the given variables shows

that there is _______

strong positive correlation

strong negative correlation

no correlation

perfect correlation

Question 10

Taking Hamburger and Movie tickets as X & Y variables respectively, the

value of Mean of X is approximately equal to ______

5

6

7

8

Quiz Score: 100 out of 100

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4th Block Assessment

Case Study

Two random samples drawn from two normal populations are given as below:

Sample 1 20 16 26 27 23 22 18 24 25 19

Sample 2 27 33 42 35 32 34 38 28 41 43 30 37

Taking the hypothesis that two samples are drawn from the same normal population of equal variance,

answer the following questions.

Question 1

If X denotes the sample 1 values , the sum of all X values is _____

245

268

186

220

Question 2

If Y denotes the sample 2 values , the sum of all Y values is _____

432

420

397

230

Question 3

Mean of X is _____

19

22

25

17

Question 4

Mean of Y is ______

31

32

35

33

Question 5

Variance of X is ________

13.33

11.43

18.23

10.43

Question 6

Variance of Y is ________

30

25.43

28.55

29.42

Question 7

Degrees of freedom in sample 1 is _____

6

7

8

9

Question 8

Degrees of freedom in sample 2 is ____

8

9

10

11

Question 9

The value of F at 5 % level of significance for degrees of freedom of sample 1 and 2 is _____

3.279

3.11

3.386

3.529

Question 10

The value of F at 1 % level of significance for degrees of freedom of sample 1 and 2 is _____

5.92

3.53

5.2

None of these

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5th Block Assessment

Case Study

A manufacturer produces two types of products P_1 and P_2. Each P_1 model requires 4 hours of carving and 2 hours of polishing where as each P_2 model requires 2 hours of carving and 5 hours of polishing. The manufacturer has 2 sculptor and 3 polishers. Each sculptor works for 40 hours a week and each polisher works for 60 hours a week. Profit on P_1 and P_2 model is Rs. 3 and Rs. 4 respectively. Whatever is produced in a week is sold in the market. Study the problem and answer the following question in order to

formulate a LPP.

Question 1

Which among the following can be a constraint for the given problem?

working hours of sculptor and polishers

hours required for carving and polishing for each product

Both (a) & (b)

None of the above

Question 2

Linear programming problem can be formulated for the given information, in

order to ______

minimize working hours of labour

maximize profit

maximizing working hours for labour

minimising profit

Question 3

x_1 and x_2 being the number of units produced for P_1 and P_2 respectively in a week’s time, objective function can be ______

3x_1 + 4x_2

4x_1 + 3x_2

3x_1 – 4 x_2

4x_1 – 3 x_2

Question 4

Total availability of hours for sculptor’s in a week is ______ hours

30

50

80

40

Question 5

Total availability of hours for polisher’s in a week is ______ hours

120

60

160

None of the above

Question 6

Constraint subject to carving can be expressed as ______

4x_1 + 2x_2 less than or equal to 40

4x_1 + 2x_2 less than or equal to 80

2x_1 + 4x_2 less than or equal to 80

None of the above

Question 7

Constraint subject to polishing can be expressed as ______

2x_1 + 5x_2 less than or equal to 60

5x_1 + 2x_2 less than or equal to 60

2x_1 + 5x_2 less than or equal to 180

None of the above

Question 8

Condition for decision variables can be expressed as _____

x_1 and x_2 are greater than or equal to Zero

x_1 and x_2 are less than or equal to Zero

x_1 and x_2 are greater than or equal to one

x_1 and x_2 are less than or equal to one

Question 9

Total processing time for P_1 for producing each unit is _____

3

4

5

6

Question 10

Total processing time for P_2 for producing each unit is _____

5

6

7

8

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Full Syllabus Assessment

Case Study

1. Given the following data:

Variance of X=9

Regression equations:

4X-5Y+33=0 and 20X-9Y-107=0

2. Study the normal distribution graph given, in which 31% (items marked in red) are below 45 and 8% items

.

Question 1

Based on case study 1 – Mean Value of X is ____

13

14

15

16

Question 2

Based on case study 1 – Mean Value of Y is ____

16

17

18

19

Question 3

Based on case study 1 – Standard deviation of X is ____

4

5

6

None of the above

Question 4

Based on case study 1 – Standard deviation of Y is ____

2

3

4

5

Question 5

Based on case study 1 – Coefficient of correlation between X and Y is ______

0.4

0.5

0.6

0.7

Question 6

Based on case study 2 – Z value for x = 64 is _____

2.4

1.4

0.43

None of the above

Question 7

Based on case study 2 -Probability of the area marked as red is _______

0.34

0.31

0.38

0.17

Question 8

Based on case study 2 -Probability of the area marked as green is _______

0.8

0.5

0

1

Question 9

Based on case study 2 -Population standard deviation for the given normal distribution curve is ______

5

10

20

25

Question 10

Based on case study 2 -Z value for x = 45 is _____

5

-0.05

-0.5

0.5

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Live Interactive session Test

Question 1

Which one of the following research methods is most likely to be quantitative in nature?

Surveys

Projective techniques

In-depth interview

Participant observation

Question 2

Number of observations are 30 and value of arithmetic mean is 15 then sum of all values is

150

450

200

45

Question 3

Binomial Distribution is considered appropriate in a Bernoulli Process which has the property ____

Dichotomy

Stability

Independence

All of these

Question 4

All data points falling along a straight line is called:

Linear relationship

Non linear relationship

Residual

Scatter diagram

Question 5

A process by which we estimate the value of dependent variable on the basis of one or more independent variables is called:

Correlation

Regression

Residual

Slope

Question 6

The value of coefficient correlation lies between

0 to 1

minus one to plus one

zero to minus one

one to ten

Question 7

According to Simplex Method to solve a LPP, the intersection of Key Row and Ket Column is called ______ element.

Key

Main

Pivot

All of these

Question 8

When mean remains constant and there is a large number of trials but a small probability of success, then _____

Poisson Distribution tends to Binomial Distribution

Binomial Distribution tends to Poisson Distribution

Binomial Distribution tends to Normal Distribution

Normal Distribution tends to Binomial Distribution

Question 9

In case of _________ events, the multiplication rule of probability is P(A.B) =

P(A) . P(B).

Dependent

Independent

Both of these

None of these

Question 10

Sum of the product of the different values of the random variable and their respective probabilities generates ________

Expected Vaue

Mean

both of these

none of these

Question 11

If t- value fall out of the range of the critical values, then ______

Alternate Hypothesis is rejected

Alternate Hypothesis is accepted

Null Hypothesis is accepted

no conclusion can be drawn

Question 12

t – distribution is used instead of the normal distribution when we have ______samples in picture

small

large

very large

none of these

Question 13

Random variables can be considered as function with domain elements as ______

sample space

natural numbers

real numbers

none of these

Question 14

According to the Empirical Rule of Normal Distribution, ______ percent of the data falls within 2 standard deviations.

95

68

92

99.7

Question 15

Which amongst the following can be called as component of a LPP.

A set of constraints

An objective funtion

A set of decision variables

All of these

Quiz Score: 150 out of 150

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