Mining Engineering
GATE MN Systems Engineering PYQs
Build your understanding with focused practice from past exam papers.
Questions 21–30 of 38. Imported answers require independent review unless marked reviewed.
Question 25
Open questionMNNAT1 markNeeds review
In a mine bench, the shovel loading time follows exponential distribution with a mean loading time of 5 min per dumper. The arrival rate of dumpers that are identical in capacity, follows Poisson distribution with a mean arrival rate of 8 per hour. The probability that the shovel remains idle is __________ (round off to 2 decimal places).
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Open questionMNMCQ2 marksNeeds review
A linear programming problem is stated below.
Maximize
subject to,
The objective function has
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 34
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A surface mine production system along with the reliability of the individual components is shown below. The system reliability is ________ (round off to 3 decimal places).
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 53
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An assignment problem is given below with the cost of assignment as shown.
Group | T1 | T2 | T3 | T4 |
|---|---|---|---|---|
G1 | 6 | 10 | 5 | 4 |
G2 | 4 | 100 | 6 | 4 |
G3 | 6 | 9 | 6 | 2 |
G4 | 3 | 7 | 6 | 4 |
If only one task can be assigned to one group, the minimum cost of assignment is ________.
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In project planning, the activity durations are calculated by PERT and CPM techniques assuming
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 19
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If the time to failure of a machine component is exponentially distributed, the reliability of the same at Mean Time To Failure (MTTF), (rounded off to three decimal places), is __________.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 37
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In the linear programming problem,
Maximize
Subject to:
, and
The value of Z is
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For a mining company the unit transportation cost from a mine to a washery, and supply and demand are shown below:
| | Washery | | | Supply | |
|---|---|---|---|---|---|---|
Mine | | A | B | C | D | |
M1 | | 30 | 0 | 40 | 20 | 500 |
M2 | | 24 | 16 | 22 | 40 | 700 |
M3 | | 0 | 32 | 28 | 36 | 800 |
Demand | | 300 | 400 | 600 | 700 | |
The total cost of transportation using the Vogel’s approximation method is
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The inventory pattern shown does NOT represent the following.
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The figure depicts a transportation problem along with the solution. The correct statement is
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