The feasible region of an LP problem is shown as given below. The maximum value of the objective function Z = 1600X1 + 1200X2 is <img src="/images/question-image/mining-engineering/mine-system-engineering/1682420971-M2-7-4-4.PNG" title="Mine System Engineering mcq question image" alt="Mine System Engineering mcq question image">

A pumping station in a mine has 4 pumps, P₁, P₂, P₃ and P₄ which are connected functionally in parallel configuration as shown in the figure. The individual reliability of the pumps P₁, P₂, P₃ and P₄ 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 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 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

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 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 center of gravity of a trapezium with parallel sides 'a' and 'b' lies at a distance of 'y' from the base 'b', as shown in the below figure. The value of 'y' is

A

$${\text{h}}\left( {\frac{{2{\text{a}} + {\text{b}}}}{{{\text{a}} + {\text{b}}}}} \right)$$

B

$$\frac{{\text{h}}}{2}\left( {\frac{{2{\text{a}} + {\text{b}}}}{{{\text{a}} + {\text{b}}}}} \right)$$

C

$$\frac{{\text{h}}}{3}\left( {\frac{{2{\text{a}} + {\text{b}}}}{{{\text{a}} + {\text{b}}}}} \right)$$

D

$$\frac{{\text{h}}}{3}\left( {\frac{{{\text{a}} + {\text{b}}}}{{2{\text{a}} + {\text{b}}}}} \right)$$

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

A

4.01

B

3.91

C

3.81

D

3.71

In an opencast mine shown in the figure below, the coal has a density of 1.4 t/m³. Assuming mining operation started from plane XY, the operating stripping ratio under the given conditions in m³/t is

A

2.32

B

2.47

C

2.56

D

2.64

The force induced in the string BC due to the load 'W' as shown in the below figure is

A

W sinθ

B

W cosθ

C

W tanθ

D

W cotθ

Two blocks ‘A’ and ‘B’ of masses 150 kg and 50 kg respectively are connected by means of a string as shown in the below figure. The tension in all the three strings __________ be same.

A

Will

B

Will not

C

Either A or B

D

None of these