Previous solved paper January 2011 subjective questions based on functions, A.P., G.P., Matrix, Measure of central tendency, measure of dispersion, correlation, regression and time series analysis, probability and its basic concept, probability distribution, This paper has detailed solution of every question.

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Year 2011
Quantitative Techniques
Complete Solved Question Papers
M.B.A 2yrs (1st Semester) (DE)
Maharishi Dayanand University, Rohtak
JANUARY 2011
E-Book Code : QTSPJAN11
by
Narender Sharma
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Unit I ...................................................................................................................................................................................................................... 2
Unit II ..................................................................................................................................................................................................................... 3
Unit III ................................................................................................................................................................................................................... 6
Unit IV ................................................................................................................................................................................................................... 9
Feedback ........................................................................................................................................................................................................... 13

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Unit I
Que. 1 A firm produces three products P, Q , and R requiring the mix-up of three materials M1 , M2 and M3 . The per unit requirement for each material (in units) is as follows :
Using Matrix notations find :
(i) The total requirements of each material if the firm produces 100 units of each product.
(ii) Total cost of production of each product if the per unit cost of material M1 , M2 and M3 is Rs. 5.00 , 10.00 and Rs. 5.00 respectively, and
(iii) The total cost of production if the firm produces 200 units of each product.
Solution : Given
P
(i) Let B is column matrix of 100 units of each product
[ ]
Total requirement of each material given by multiplication matrix A and B i.e. AB [ ] [ ] [ ]
Or [ ]
(ii) Let C be a column matrix which shows the unit cost of each material (M1 , M2 , M3)
[ ]
Multiplication Matrix A and C gives the total cost of production of each product [ ] [ ]
[ ] [ ]
(iii) Let a row matrix D, which shows 200 units of each product. Multiplication of Matrix D with Matrix AC will give the total cost of production when firm produce 200 units of each product.

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( ) [ ] [ ] ( ) [ ] ( ) [ ]
Que. 2 Matrix A and B give the daily sales and sale price of chocolates for a shopkeeper. [ ] [ ]
Find the total revenue for four days.
Solution : Total revenue will given by the multiplication of Matrix A with column Matrix B
AB=[ ] [ ]
AB=[ ] [ ]
Unit II
Que. 3. Giving example explain the following
Bar diagram , Multiple bar diagram, pie diagram and pictogram
Solution:
Bar Diagram :
A Bar diagram is graph on which the data are represented in the form of bars. It consists of a number of bars or rectangles on x-axis which are of uniform width. The length of the bars is proportional to the value it represents and are shown along y-axis. The width of rectangle does not convey any meaning. It is to be noted that the width of the classes should be equal and in ascending order of magnitude. If the width of classes is not equal it should be made so by dividing its frequency equally.
Example : Bar diagram for the following frequency distribution
Marks
10-15
15-20
20-25
25-30
30-35
35-40
Frequency
5
12
22
18
10
8
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