# Quantitative Techniques in Management

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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,

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

Quiz Score: 100 out of 100
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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

Quiz Score: 100 out of 100
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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

Quiz Score: 100 out of 100
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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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