MP-304/204
June Examination 2017
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 given instructions.
Section A 8 × 2 16
(Very Short Answer Type 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.
What is Null or Zero Matrix?
State the term Scalar Matrix.
What is Positive Correlation?
Find value of 19C17.
Explain Base year shifting.
In how many different ways the word AGRA can be arranged?
614
MP-304/204 500 4 (P.T.O.)
614
MP-304/204 500 4 (Contd.)
Define Event.
(viii) In Linear Programming explain Dual.
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.
If
2
3
4
3
4
5
4
1
2
A H and
1
2
3
1
3
4
2
1
2
B H
find and
Define Calculus and Integration. Give properties of the definite
integrals.
What is meant by "Business Forecasting"? Describe in brief the
important theories of business forecasting.
Calculate coefficient of correlation from the data given below:
X 14 12 9 8 10 11 13 7
Y 15 14 8 6 9 11 12 3
There are 30 students in M.Com. and 50 students in B.Com. in the
college. Three representatives of Commerce Association are to be
selected one by one. Find the probability that they are alternatively
of different classes.
MP-304/204 500 4 (P.T.O.)
614
Explain some methods, which are useful for decision making under
condition of uncertainty. Illustrate each by an example.
"The game theory provides the basis for a rational decision". Do you
agree with this statement? Answer with reasons.
A Company produces three kinds of fans B and C. The monthly
production is 100 units, 200 units and 300 units respectively. These
fans are sold through three stores Y and Z. Which have demand of
125, 250 and 225 units respectively. The profit per unit of fans sold
to each of three stores is given below:
Stores
X Y Z
Fans A 15 16 18
B 10 8 6
C 12 9 10
80 fans of type "A" must be supplied to store X plan the production
programme so as to maximise the profit.
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) Discuss the role and scope of quantitative methods for scientific
decisions in business management. Also discuss their limitations in
relation to rural management.
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MP-304/204 500 4
11) Two random variables have the regression equations 3x 2y 26 0
and 6x y 31 0. Find the mean values and the coefficient of
correlation between x and y.
If the variance of x 25, find standard deviation of y from the
data given above.
12) What is probability? Explain its different concept giving suitable
examples.
13) Solve the following linear programming problem by taking it's Dual.
Minimize Z 2x1 2x2
Subject to 2x1 4x2 H1
x1 2x2 H1
2x1 x2 H1
x1 x2 H 0