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Four mines A, B, C and D are located along a road as shown with production in Mt per year 1, 2, 1 and 3 respectively. In order to handle total coal produced. the ideal distance of a coal washery along the road from the mine A in Km is<br><img src="/images/question-image/mining-engineering/mine-system-engineering/1682421164-M2-7-2-2.PNG" title="Mine System Engineering mcq question image" alt="Mine System Engineering mcq question image">
A
4.01
B
3.91
C
3.81
D
3.71
Correct Answer:
3.71
A pumping station in a mine has 4 pumps, P
1
, P
2
, P
3
and P
4
which are connected functionally in parallel configuration as shown in the figure. The individual reliability of the pumps P
1
, P
2
, P
3
and P
4
are 0.80, 0.90, 0.85 and 0.95 respectively. For an effective dewatering operation in the mine denoting system success, at least three pumps should be in operation. The reliability of the system is
A
0.19
B
0.93
C
0.99
D
0.58
A mine ventilation system consists of two splits A and B with resistances of 0.8 Ns
2
m
-8
and 3.2 Ns
2
m
-8
, respectively as shown in figure. Trunk airways have resistance of 0.2 Ns
2
m
-8
. The main mine fan is generating pressure of 500 Pa.
The air quantities in m
3
/s circulated in the splits A and B respectively are
A
20 and 30
B
30 and 20
C
20 and 10
D
40 and 10
A project network comprises five activities as shown below. The activity durations. in days. are as indicated. Crashing of any activity costs Rs. 1000 per day. If the project is crashed to the shortest possible duration without changing the critical path the total crashing coso in Rs. is
A
5000
B
4000
C
3000
D
2000
A bunker-conveyor system as shown in the figure works under the following scheme:
i. Bunker and two conveyors running
ii. Bunker and either of the two conveyors running
If the bunker and the two conveyors have identical reliability of 0.9. the system reliability is
A
0.729
B
0.810
C
0.999
D
0.891
A mine ventilation system consists of two splits A and B with resistances of 0.8 Ns
2
m
-8
and 3.2 Ns
2
m
-8
, respectively as shown in figure. Trunk airways have resistance of 0.2 Ns
2
m
-8
. The main mine fan is generating pressure of 500 Pa.
The flows in the two splits are equalized by placing a booster fan in split B. Assume that the fan pressure does not change after installation of the booster fan. The size of the booster fan in Pa is
A
749.05
B
850.08
C
950.02
D
1000.5
In the project network shown activity durations are given in months. If the activity can be crashed to expedite the project, which one would you crash and by how many months?
A
C, 1
B
C, 2
C
D, 1
D
E, 1
The feasible region of an LP problem is shown as given below. The maximum value of the objective function Z = 1600X
1
+ 1200X
2
is
A
20400
B
20000
C
19200
D
16800
The individual reliability values of four sub-systems are given in the figure below. The reliability of the system is
A
0.42
B
0.22
C
0.61
D
0.52
The following project network is given with arrows as activities and the numbers by each arrow representing job durations in days. The network has two dummy activities D
1
and D
2
. The minimum completion time of the project in days is
A
13
B
19
C
75
D
68
A mining company has three mines (MI, M2 and M3) that supply coal to three power plants (P1, P2 and P3). The three mines produce 900. 1000 and 1200 te of coal per day respectively. The power plant requirements from these three mines are 1200. 1000 and 900 te per day respectively. The unit cost of transporting coal from the three mines to the three power plants in Rs. is given below
A
<table class="table-style-1"> <tr> <td rowspan="2" colspan="2"></td> <td colspan="3">Power Plants</td> </tr> <tr> <td>P1</td> <td>P2</td> <td>P3</td> </tr> <tr> <td rowspan="3">Mines</td> <td>M1</td> <td>8</td> <td>10</td> <td>12</td> </tr> <tr> <td>M2</td> <td>12</td> <td>13</td> <td>12</td> </tr> <tr> <td>M3</td> <td>14</td> <td>10</td> <td>11</td> </tr></table><br>Based on the initial basic feasible solution, using Vogel's approximation method, the total transportation cost in Rs. is 31200
B
31400
C
32800
D
40000
