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

1

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

Mining Engineering (MN) 2007

Consider the following linear programming problem: Maximize \(Z = 6X_1 + 4X_2\) Subject to \(2X_1 \leq 8\) \(2X_2 \leq 12\) \(3X_1 + 2X_2 \leq 18\) \(X_1 \geq 0, X_2 \geq 0\) The multiple optimal solutions lie on the line joining the corner points

A

(0, 0), (0, 6)

B

(0, 6), (2, 6)

C

(2, 6), (4, 3)

D

(4, 3), (4, 0)

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2

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

Mining Engineering (MN) 2008

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

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3

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

Mining Engineering (MN) 2008

A mining project comprising of A, B, and C activities is scheduled for 90 days at a cost of Rs.1200 million. The manager of the project decides to reduce the time for completion of the project to 85 days. The decision was taken after 45 days.

Activity	A	B	C
Duration(days)	40	15	35
Crashing cost/day (million rupees)	15	25	20

The minimum project cost in million rupees after crashing by 5 days is

A

1100

B

1300

C

1475

D

1825

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4

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

Mining Engineering (MN) 2008

Block economic values in a 2D block model are shown below. Then based on the assumption of 1:1 slope angle, the blocks (identified by row and column numbers) that constitute the ultimate pit are

	1	2	3	4
1	-1	-1	1	-1
2	-1	1	3	-1
3	-1	-1	-1	-1

A

(1,1), (1,2), (1,3), (2,2)

B

(1,2), (1,3), (1,4), (2,3)

C

(1,3), (2,4)

D

(1,3), (1,4), (2,4)

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5

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

Mining Engineering (MN) 2008

The feasible region of an LP problem is shown as given below. The maximum value of the objective function Z = 1600x1 + 1200x2 is

A

20400

B

20000

C

19200

D

16800

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6

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

Mining Engineering (MN) 2009

A mine having a reserve of 320 Mt produces 4 Mt of ore at the end of 1ˢᵗ year. If the mine increases production by 10% every year, the percentage of the reserve that still remains at the end of 21ˢᵗ year is

A

50

B

35

C

25

D

20

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7

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

Mining Engineering (MN) 2009

A mine workshop has 4 lathe machines and 4 tasks for completion. Each of the machines can perform each of the 4 tasks. Each task can be assigned to one and only one machine. Estimated cost in Rupees to complete each task is given in the matrix below.

Task	Machine
	M1	M2	M3	M4
T1	61	92	52	72
T2	42	49	69	85
T3	47	59	80	71
T4	65	70	68	72

The total optimum cost in Rupees for assigning the tasks to the machines is

A

210

B

215

C

220

D

286

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8

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

Mining Engineering (MN) 2009

In a mine site, the cost of shaft sinking in lakhs of Rupees is given as 2.64D + 34.8, where D is the shaft depth in m. In the same site, the corresponding cost of driving an incline is 0.96L, where L is the length of the incline in m. Assuming L by D ratio is 3.0, the depth in m beyond which the shaft sinking becomes more economical is

A

43

B

48

C

145

D

155

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9

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

Mining Engineering (MN) 2010

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

A

2.32

B

2.47

C

2.56

D

2.64

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10

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

Mining Engineering (MN) 2010

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, the total crashing cost in Rupees is

A

15000

B

14000

C

13000

D

12000

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11

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

Mining Engineering (MN) 2012

A mining company has three mines (M1, 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

	Power plants
	P1	P2	P3
M1	8	10	12
Mines M2	12	13	12
M3	14	10	11

Based on the initial basic feasible solution, using Vogel’s approximation method, the total transportation cost in Rs. is

A

31200

B

31400

C

32800

D

40000

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12

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

Mining Engineering (MN) 2012

The annual production target in Mte is

A

5.76

B

7.00

C

8.19

D

9.00

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13

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

Mining Engineering (MN) 2012

The expected duration of the mining project in months is

A

5

B

16

C

18

D

29

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14

2013 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Mine Planning

Mining Engineering (MN) 2013

Block economic values in Lakhs of Rupees for a section of a block economic model are shown below.

-1	-1	1	-1	0	-1
-1	0	0	0	-1	-2
-5	-3	-2	5	-2	-3

At a permissible slope angle of 1:1, the optimum pit value of the section in Lakhs of Rupees is

A

0

B

1

C

2

D

3

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15

2013 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Mine Planning

Mining Engineering (MN) 2013

A flat bauxite deposit has thickness of 10 m with an average density of \(2200 ext{ kg/m}^3\). The grade values and the sample coordinates are as shown in the table. To carry out reserve estimation using triangular method, the triangles are constructed as shown in the figure.

Sample No	1	2	3	4	5
Alumina %	35	40	39	47	42
x coordinate, m	0	200	0	200	500
y coordinate, m	300	300	0	0	0

The alumina content in million tonnes, in the region comprising the three triangles is __________

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16

2017 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Mine Planning

Mining Engineering (MN) 2017

Semi-variogram modeling is used for reserve estimation of mineral deposit by

A

polygonal method

B

distance weighting method

C

geostatistical method

D

nearest neighbor method

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17

2017 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Mine Planning

Mining Engineering (MN) 2017

Lane's algorithm is applied to determine

A

mill cut-off grade

B

mine production rate

C

operating cost

D

ultimate pit

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18

2017 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Mine Planning

Mining Engineering (MN) 2017

The block grade model of an ore deposit is shown in the figure below. The relationship between block value per tonne (B_v) in rupees and the block grade in percentage (x) is given below:
B_v = -38500 + 700 × x, for x ≥ 55%
= -300, otherwise

If each square block contains 1000 tonne of material and the overall pit slope angle is 45°, the total value of the pit determined by the floating cone algorithm in Lakhs of rupees is ______

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19

2017 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Mine Planning

Mining Engineering (MN) 2017

A mining company having three mines A, B and C supplies coal to three power plants P, Q and R located close to the mines. The daily production capacities of the three mines in tonnes are 700, 1200, and 1100 respectively. The daily requirements at the power plants in tonnes are 1000, 1000, and 1000 respectively. The transportation costs in rupees per tonne is given in the matrix below:

Power plant Mine	P	Q	R
A	15	20	60
B	5	40	20
C	30	10	50

The total cost of coal transportation in rupees from the three mines to three power plants using the least-cost method is ________

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20

2018 · Mining Engineering · Mineral Economics, Mine Planning, Systems Engineering · Mine Planning

Mining Engineering (MN) 2018

The inventory pattern shown does NOT represent the following.

A

Inventory is replenished instantaneously

B

Demand decreases with time

C

Shortage is not permitted

D

Demand is uniform

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