GATE MN year:2019 PYQs & Answers — Page 5

Questions 41–50 of 65. Imported answers require independent review unless marked reviewed.

In the context of mine planning, match the following:

Technique/ Algorithm P. Lerchs-Grossman algorithm Q. Kriging R. Lane’s theory S. Taylor’s rule

Preferred Application

Ultimate pit limit

Cut-off grade optimization

Mine life

Reserve estimation

Your answerChoose one option.

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

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

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

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

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The figures shown represent the analysis of gas samples collected from a sealed off area in a coal mine over a period of time. The best representation of the progressive change of gaseous environment inside the sealed-off area is

Your answerChoose one option.

Figure P

Diagram for Mining Engineering question 32

Figure Q

Diagram for Mining Engineering question 32 (figure 2)

Figure R

Diagram for Mining Engineering question 32 (figure 3)

Figure S

Diagram for Mining Engineering question 32 (figure 4)

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The net annual cash flows for two small scale mining projects A and B are given below. The correct decision assuming 10% discount rate as per NPV criterion is

Annual Cash flow (in Rs. Crore)

Period in years	Project A	Project B
0	-200	-300
1	0	0
2	200	100
3	140	150
4	0	200

Your answerChoose one option.

Project A is accepted but project B is rejected

Projects A and B both are rejected

Project A is rejected but project B is accepted

Projects A and B are both accepted but project A is better than project B

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Match the following features with the mining methods:

Features P. Ring Drilling Q. Grizzly sublevel R. Spherical charge blasting S. Cemented hydraulic fill

Mining method

Vertical crater retreat method

Sublevel stoping

Underhand cut-and-fill stoping

Block caving method

Your answerChoose one option.

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

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

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

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

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If area

, in the

plane, is bounded by a triangle with vertices (0, 0), (10, 1) and (1, 1), the value of

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A double ended ranging drum shearer operates in a longwall retreating panel. The following data are provided:

Face length: 200 m Web depth: 0.6 m Cutting height: 2.5 m Density of coal: 1.4 tonne/m

Average cutting speed: 1.5 m/min Average flitting speed: 4.0 m/min Number of shifts/day: 3

Method of cutting is unidirectional and each shift requires a non-operational time of 2.0 hours. The production per day in tonne (rounded off to one decimal place) is

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In the linear programming problem,

Maximize

Subject to:

, and

The value of Z is

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A shovel operates 300 days in a year, 2 shifts in a day, and 4 hours in a shift to achieve the target production of 30 Million tonne per annum. The following parameters relate to the loading operation:

Bucket capacity of shovel: 15 m

Shovel cycle time: 44 s Bucket fill factor: 0.85 Bulk density of the muck: 3.00 tonne/m

The minimum number of shovels required to achieve the production is

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A set of tubs is pulled by a 15 tonne diesel locomotive at a gradient of 1 in 100 with an acceleration of 0.05 m/s

. The coefficient of adhesion between the wheel and the track is 0.2 and the frictional resistance coefficient is 0.01. The maximum mass, in tonne, the locomotive can pull (rounded off to one decimal place) is

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The characteristic curves of two mine fans installed in series in a fan drift are

and

where P is pressure in Pa and Q is quantity in m

/s. If the mine quantity is 70 m

/s, the mine resistance, in Ns

(rounded off to two decimal places) is

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GATE MN year:2019 PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40