MP-304(Old)/204(New)
December Examination 2016
Master of Business Administration II Year Examination
Quantitative Techniques
Paper MP-304(Old)/204(New)
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 transpose of a matrix?
State the term adjoint matrix.
If for the pairs of 10 items the sum of squares of rank differences is 42.50, find out coefficient of rank correlation.
What is trend?
Find the value of 49P3.
In how many different ways the word "MINIMUM" can be arranged?
Define a mathematical model.
(viii) What is dummy activity?
614
MP-304(Old)/204(New) 500 3 (P.T.O.)
MP-304(Old)/204(New) 500 3 (Contd.)
614
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.
Find all the matrices that commute with the matrix
1 2
3 4
What are the model used in quantitative techniques? Explain.
State and explain fisher's ideal formula for price index number
and why it is called ideal?
Find 4 yearly moving averages of the sales figures given
below:
Year 2001 2002 2003 2004 2005 2006 2007 2008 2009
Sales 98 106 104 100 105 102 103 102 110
Find the chance of drawing a king, a queen and knave in that
order from a pack of cards in three consecutive draws, the
cards drawn not being replaced.
Explain some methods, which are useful for decision making
under condition of uncertainly. Illustrate each by an example.
A firm has a single mechanic in a repair shop. He works 8 hours
a day, and on an average six machines go out of work each
day. If it takes on an average one hour to repair a machine
than on the basis of Poisson and exponential model calculate
various constants relating to a working live system [calculate

What is operation research? Describe its main characteristics
and significance.
MP-304(Old)/204(New) 500 3
614
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) In an A.P. the tenth term exceeds the fifth term by 10 and their
sum is 32, find the series.
11) Explain difference between correlation and regression.
Describe utility of regression also.
12) A physician purchases a particular medicine on Monday
of each week. The medicine must be used within the week
following, otherwise it becomes worthless. The medicine cost
2 per dose and the physician charge 4 per dose. In post 50
weeks, the records of uses are as follows:
Dose per week 20 25 40 60
No. of week 5 15 25 5
Calculate:
Expected monetary value
Expected opportunity loss
Expected value of perfect information
13) Solve the following linear programming problem by simplex
method.
Maximize Z 5A 3B
Subject to: 5A 2B 170
4A 5B 170
3A 8B 180
A B 0