c)
d)
CII Institute of Logistics
PGDSCM/DSCM/ADSCM & CERTIFICATE PROGRAMS
Semester-end Examinations- December 2011
7)
If A and B are mutually exclusive events
a) P(A U B) = P (A) + P(B) – P(A ∩ B)
b) P(A U B) = P (A) + P(B)
c) P(A U B) = P (A) P(B)
d) P(A ∩ B) = P (A) + P(B)
8)
Laspeyre’s index no is 121. Paasche’s index no is 169. Fisher’s index no. is
a) 145
b) 143
c) 154
d) 172
9)
The base of hexadecimal system is
a) 8
b) 10
c) 2
d) 16
10)
The weighted average of the max and min payoff of every act is
considered in
a) Laplace criterion
b) Hurwicz criterion
c) Maximum criterion
d) Minimax regret criterion
QUANTITATIVE TECHNIQUES
Time: 3 hours
Marks: 100
Part A
Answer all questions
(10 x 1 = 10 Marks)
1)
The graphical representation of a cumulative frequency distribution is
a) Histogram
b) Frequency polygon
c) Ogive
d) Bar diagram
2)
The value which occurs most often is
a) Median
b) Mean
c) Mode
d) Quartile
3)
The standard deviation of a set of values is 15. If every value is multiplied
by 3 S.D. becomes
a) 15
b) 45
c) 5
d) 18
4)
5)
6)
The correlation coefficient
a) Lies between -1 and +1
b) Lies between 0 and 1
c) Is greater than 1
d) Lies between -1 and 0
The regression coefficients
a) Can take any value
b) should be of the same sign
c) Product should be less than 1
d) both (b) and (c)
The matrix obtained by interchanging rows and columns is
a) Adjoint
b) transpose
Inverse
none of them
Part B
Answer any four
1)
(4x15= 60 marks)
Find the mean and S.D. for the following data
Class:
100 – 150 150–200
Frequency: 23
47
Class:
400 – 450
Frequency:
92
2)
200–250 250–300 300–350 350–400
65
89
104
118
450 – 500 500 – 550
76
51
550 – 600 600 – 650
37
18
Find the two regression lines from the following data
X: 27 28 27 28 29 27 29 30 29 31
Y: 18 20 18 21 21 19 22 24 23 25
3)
Briefly explain the function of DBHS
4)
Briefly explain the different methods of probability sampling
5)
Calculate Fisher’s index number from the data below
Base Year
Items
A
B
C
D
E
6)
Price
10
18
8
12
24
Current Year
Quantity
25
35
50
20
15
Price
12
19
10
11
26
Quantity
28
40
45
24
18
The prices of shares of a company on different days in a month were
found to be 66, 65, 69, 70, 69,71, 70, 63, 64 and 68. Discuss whether
mean price of shares can be taken as 68 at 5% LS.
(Value of ‘t’ at 5% LS for 9 d.o.f is 1.833)
Part C
Answer any two:
1)
(2*15=30 marks)
Stereo industries has to decide on the production of a new turntable
expected to have a market life of 10 years by either budding a large
plant costing Rs.28,00,000 or a small plant costing Rs.14,00,000. Estimate
of sales over the 10 year period is expected to be as below:
High demand with probability 0.5;
Moderate demand with probabaility 0.3 and
Low demand with probability 0.2.
Outcomes for the combination of plant size and demand are:
High
Moderate
Low
Large
10,00,000
6,00,000
-20,000
Small
2,50,000
4,50,000
5,50,000
Advice the industries whether to go in for a large or small plant
2)
The mean number of accidents attributed to taxi drivers in a
metropolitan city is 3. Out of 1000 drivers, what is the number of taxi
drivers with
a) No accidents
b) Not more than 3 accidents
( e-3= 0.0498)
3)
Seven hundred children were chosen from rural school and 200 had eye
defects. Out of 900 children from urban schools, 180 had similar defects.
Examine whether more percentage of rural school children have eye
defects.
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