MP-304 204
June Examination 2016
Master of Business Administration
II Year Examination
Quantitative Techniques
Paper MP-304 204
Time 3 Hours Max. Marks 80
Note: The question paper is divided into three sections B and C. Write answers as per the given instructions.
Section A 8 × 2 16
(Very Short Answer Questions)
Note: Answer all questions. As per the nature of the question delimit your answer in one word, one sentence or maximum upto 30 words. Each question carries 2 marks.
Find the 10th term of A.P. 14, 20 .........
What is inverse matrix?
State the meaning of correlation.
What is meant by analysis of time series?
Find the value of 20C3.
614
MP-304 204 300 4 (P.T.O.)
614
MP-304 204 300 4 (Contd.)
In how many ways five persons can sit on eight seats?
Define operation research.
(viii) What is the meaning of in a network diagram.
Section B 4 × 8 32
(Short Answer Questions)
Note: Answer any four questions. Each answer should not
exceed 200 words. Each question carries 8 marks.
Prove that

1
0
0
1
3
0
2
1
1
3
1
0
0
1
3
1
3
0
7
1
3
A 1 then A



R
T
SSSSS
R
T
SSSSS
V
X
WWWWW
V
X
WWWWW
Discuss the role and scope of quantitative methods for scientific
decisions in business management.
numbers are economic barometers''. Explain this
statement and mention what precautions should be taken in
making use of any published index numbers?
Calculate coefficient of correlation between X and Y series by
Karl Pearson's method.
X-Series 10 12 15 18 25 35 45 50 55 65
Y-Series 5 7 13 15 20 21 29 30 36 44
What is the probability of getting a total of atleast 9 in a single
throw of two dice?
MP-304 204 300 4 (P.T.O.)
614
Indicate the difference between decision making under risk and
uncertainty in statistical decision theory.
Solve the following two person, zero sum game:


B
B B
5
2
18
7
1
6
11
8
10
Player
B
Player A
A
A
A3
1 2 3
1
2


R
T
SSSS
V
X
WWWW
''Operations Research provides a tool for scientific analysis.''
Discuss.
Section C 2 × 16 32
(Long Answer Questions)
Note: Answer any two questions. You have to delimit your each
answer maximum upto 500 words. Each question carries
16 marks.
10) Describe the situations where quantitative techniques can
be used.
Give any three useful definitions of quantitative techniques
and explain them.
11) Explain the term and its utility in economic
analysis. How are regression equation derived? Explain by an
example.
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MP-304 204 300 4
12) The marks of the students are normally distributed. 10% get
more than 75 marks and 20% get less than 40 marks. Find the
mean and standard deviation of the distribution.
The relevant extract of Area Table (Under the normal curve) is
given below.
Z 0.84 1.28 2.00
Area 0.2995 0.3997 0.4772
13) A project consists of the following activities
Activity 1-2 1-3 1-4 2-5 2-6 3-6 4-7 5-7 6-7
to 3 2 6 2 5 3 3 1 2
tm 15 14 30 8 17 15 27 7 8
tp 6 5 12 5 11 6 9 4 5
Draw the network
Determine critical path
Determine the expected time and variance for each activity.