Systems Engineering - Mineral Economics, Mine Planning, Systems Engineering - Mining Engineering Previous Year Questions

1

2007 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Systems Engineering

Mining Engineering (MN) 2007

The cost of diesel is Rs. $\left( 25 + \frac{x}{90} \right)$ per km to drive a dump truck at a speed of $x$ km/hour. The maintenance cost of the truck is Rs. 10 per hour. To minimize the cost per km, the truck speed in km/hour is

A

5

B

20

C

25

D

30

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2

2007 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Systems Engineering

Mining Engineering (MN) 2007

The time between successive failures (in hours) of a side discharge loader operating in a mechanised underground coal mine are as follows: 62, 58, 54, 50, 52, 60, 58, 57, 50, 53 If the failure data follow an exponential distribution, then reliability of the equipment for a period of 50 hours is

A

0.25

B

0.40

C

0.60

D

1.00

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3

2007 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Systems Engineering

Mining Engineering (MN) 2007

Three jobs A, B, and C are to be assigned to three machines X, Y, and Z. The processing costs are given below: The minimum total cost of assigning the jobs to the machines is

A

60

B

54

C

51

D

49

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4

2007 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Systems Engineering

Mining Engineering (MN) 2007

Match the following Problem P Queueing Q Project scheduling and monitoring R Transportation S Forecasting of production Technique 1 Time series models 2 Linear programming models 3 Waiting line models 4 PERT and CPM

A

P-3, Q-4, R-2, S-1

B

P-2, Q-3, R-4, S-1

C

P-3, Q-4, R-1, S-2

D

P-2, Q-4, R-3, S-1

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5

2008 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Systems Engineering

Mining Engineering (MN) 2008

Q.18 In PERT network, the activity duration is assumed to follow

A

Beta distribution

B

Binomial distribution

C

Normal distribution

D

Weibull distribution

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6

2008 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Systems Engineering

Mining Engineering (MN) 2008

Q.19 For an LP problem, identify the INCORRECT statement

A

Optimal point lies in one of the corner points

B

Objective function is linear

C

All the constraints are linear

D

Optimal point lies in any of the interior points of the feasible region

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7

2008 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Systems Engineering

Mining Engineering (MN) 2008

In a mine, a control chart constructed for fixed carbon has upper and lower limits of 49% and 41% respectively. On a day, the five group average values of fixed carbon are 42%, 43%, 40%, 50% and 49.5%. If the process control rule of the mine is to have not more than 2 out of 5 samples to be out of the control chart, the process on that day is

A

Above upper and below lower control limits

B

Above upper control limits

C

Below lower control limits

D

Within upper and lower control limits

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8

2008 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Systems Engineering

Mining Engineering (MN) 2008

A system of two identical mine pumps connected in series has reliability 0.49. If the pumps were to be connected in parallel, the system reliability would be

A

0.21

B

0.6

C

0.91

D

0.95

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9

2008 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Systems Engineering

Mining Engineering (MN) 2008

The total cost of transportation based on the initial basic feasible solution obtained by the North-West corner rule is

A

250

B

290

C

330

D

360

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10

2008 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Systems Engineering

Mining Engineering (MN) 2008

The optimal solution for the transportation problem has allocation as shown below:

	Destination
Source	1	2	3	Supply
1		15		15
2	10	10	20	40
3			20	20
Demand	10	25	40

When compared to initial basic feasible solution from the above, the optimal allocation results in savings of

A

10

B

20

C

30

D

40

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11

2009 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Systems Engineering

Mining Engineering (MN) 2009

A balanced transportation problem is characterized by

A

total supply exceeds total demand

B

total demand exceeds total supply

C

total demand is equal to total supply

D

total supply is either equal to or more than total demand

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12

2009 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Systems Engineering

Mining Engineering (MN) 2009

In the context of project management techniques, the TRUE statement is

A

CPM is stochastic and PERT is deterministic

B

CPM is deterministic and PERT is stochastic

C

Both CPM and PERT are deterministic

D

Both CPM and PERT are stochastic

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13

2009 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Systems Engineering

Mining Engineering (MN) 2009

Two belt conveyors load a ground bunker, each at a rate of 400 tph, which is initially filled with 10000 t of coal. Coal is discharged from the bottom of the ground bunker onto a belt conveyor at a rate of 1200 tph. The time elapsed in hours before the bottom conveyor starts to operate below its rated capacity is

A

6.5

B

8.5

C

12.5

D

25.0

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14

2009 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Systems Engineering

Mining Engineering (MN) 2009

Average time spent by a workman waiting for his turn to be served in min is

A

9

B

12

C

15

D

18

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15

2010 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Systems Engineering

Mining Engineering (MN) 2010

The queue of trucks at a crusher plant hopper is known to be M/M/1 queue. The probability that there is no truck to unload is 0.3. Due to rains the mean service time at the hopper is increased by 30%. As a consequence, the expected number of trucks in the queuing system (including the one possibly unloading) becomes

A

10

B

12

C

14

D

16

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16

2010 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Systems Engineering

Mining Engineering (MN) 2010

The unit cost matrix of a balanced transportation problem is shown below

Destination	D1	D2	D3	Supply
S1	7	3	6	60
Source	S2	5	4	9	60
S3	8	6	7	80
Demand	50	120	30

The transportation cost of the initial basic feasible solution obtained by the North-West corner rule is

A

1025

B

1075

C

1130

D

1226

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17

2011 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Systems Engineering

Mining Engineering (MN) 2011

ISO 9000 Quality Systems DO NOT contain

A

legal provisions

B

measurement

C

document control

D

standardization

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18

2011 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Systems Engineering

Mining Engineering (MN) 2011

The time study data of an equipment deployed in a mine during a calendar month is given below.
Total working hours = 400
Total maintenance hours = 100
Total hours of actual work = 240

The percentage of utilization of the equipment is

A

85

B

80

C

65

D

60

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19

2012 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Systems Engineering

Mining Engineering (MN) 2012

A system consists of four elements A, B, C and D which are connected functionally in a parallel configuration. The individual reliability of the elements is 0.80, 0.82, 0.85 and 0.90 respectively. The reliability of the system is

A

0.498

B

0.602

C

0.750

D

0.999

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20

2012 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Systems Engineering

Mining Engineering (MN) 2012

The standard deviation of the project length in months is

A

2

B

3

C

6

D

9

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