Annamalai University 2008-1st Year B.B.A " 150MATHEMATICS " ( - III ) ( PART - III ) ( ) APPLIED MANAGEMENT 6 7 8 4 - Question Paper
Register Number:
Name of the Candidate :
6 7 8 4 B.B.A. DEGREE EXAMINATION, 2008
APPLIED MANAGEMENT (FIRST YEAR)
(PART - III)
(PAPER - III)
150. MATHEMATICS December ] [ Time : 3 Hours
Maximum : 100 Marks
SECTION - A (10 x 2 = 20)
Answer any TEN questions.
All questions carries equal marks.
1. Explain briefly :
(a) Equal and finite sets.
(b) Slope of the line Ax + By + C = 0
(c) Unit matrix and zero matrix.
(d) Simple and compound interest.
(e) Skewness and curtosis.
(f) Rank correlation.
(g) Index numbers.
(h) Optimal solution in LPR
(i) Basic and Basic feasible solution in LPP. (j) North West corner method.
(h) PERT.
SECTION - B (4x10= 40)
Answer any FOUR questions.
All questions carries equal marks.
2. Use Venn diagram to prove
Au(BnC) = (AuB)n(AuC)
11. Find the critical path for the following project.
|
Job : |
1-2 |
2-3 |
2-4 |
3-4 |
3-5 |
4-6 |
|
Deviation : |
2 |
7 |
3 |
3 |
5 |
3 |
|
Job : |
5-8 |
6-7 |
6-10 |
7-9 |
O 1 v |
9-10 |
|
Deviation : |
5 |
8 |
4 |
4 |
7 |
7 |
9. (a) Compute the Karl - Pearson co-efficient of correlation by Karl - Pearsons method.
|
x : |
0 |
10 |
20 |
30 |
40 |
50 |
60 |
70 |
80 |
90 |
|
y : |
100 |
98 |
95 |
90 |
80 |
50 |
35 |
23 |
13 |
5 |
(b) Two variables gave the following data : Obtain the 2 regression equation and find the most likely value of y when x = 24.
x = 20, y = 15 ; ax = 4, cy = 4
and 2 = +7.
10. Use VAM method or MODI to solve the TPP.
|
Plant | ||||||||||||||||||||||||||||||
|
|
A = |
|
|
T aT | ||||||||||||||||||||
4. Compute the quartile deviation and its co-efficient for the following frequency distribution.
|
Marks above : |
0 |
10 |
20 |
30 |
40 |
50 |
60 |
70 |
|
Production : |
150 |
142 |
130 |
120 |
72 |
30 |
12 |
4 |
5. Solve by graphically method the LPP : Maximize:
9x + 16y
Subject to :
x + 4y < 180
2x + 3y < 90
x, y > 0.
6. Solve the following problem by Least cost Method :
To
|
W1 |
w9 |
W 3 |
Supply | ||
|
a |
F1 |
2 |
7 |
4 |
5 |
|
[In |
F2 |
3 |
3 |
1 |
8 |
|
F3 |
5 |
4 |
7 |
7 | |
|
F4 |
1 |
6 |
2 |
14 | |
|
Demand |
7 |
9 |
18 |
34 | |
7. Construct a PERT Diagram for the following project.
|
Activity : |
1-2 |
1-3 |
1-7 |
2-3 |
3-6 |
4-4 |
|
Duration : |
2 |
2 |
1 |
4 |
1 |
5 |
|
Activity : |
OO 1 |
5-6 |
6-9 |
1 OO |
OO 1 v |
|
Duration : |
8 |
4 |
3 |
3 |
3 |
SECTION - C (2 x 20 = 40)
Answer any TWO questions.
All questions carries equal marks.
8. (a) Find the inverse of
/ 1 2 2
2 1 2 v 2 2 2
(b) The true discount on a bill for Rs.3677 is Rs. 27 at 4Vi %. Find how many days before the due date the bill is discounted ?
Turn over
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Attachment: |
| Earning: Approval pending. |
