Mining Engineering
GATE MN Systems Engineering PYQs
Build your understanding with focused practice from past exam papers.
Questions 31–38 of 38. Imported answers require independent review unless marked reviewed.
Question 24
Open questionMNNAT1 markNeeds review
A system of two identical components connected in series has reliability of 0.25. The reliability of each component is ______________.
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Open questionMNNAT1 markNeeds review
The operational status of an HEM in a shift is shown in the diagram. The availability of the machine in % is ____________________.
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Open questionMNNAT2 marksNeeds review
The feasible region of a linear programming problem is shown in the figure. The maximum value of the objective function
is ____________________.
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Open questionMNMCQ1 markNeeds review
In a PERT network, the “time estimates” of an activity are the following: Optimistic time - 2 days, Most likely time - 4 days, and Pessimistic time - 12 days. The expected time and standard deviation of the activity in days are respectively
Your answerChoose one option.
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Open questionMNNAT2 marksNeeds review
Consider the following linear programming problem:
Maximize
Subject to
The maximum value of the objective function is
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Open questionMNNAT2 marksNeeds review
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:
| Mine / Power plant | 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 the power plants using the least-cost method is
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Open questionMNNAT2 marksNeeds review
The series-parallel configuration of a system, consisting of 6 independent components A, B, C, D, E, and F with their individual reliability, is shown in the figure:
The reliability of the system is
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Open questionGAMCQ2 marksNeeds review
Two machines M1 and M2 are able to execute any of four jobs P, Q, R and S. The machines can perform one job on one object at a time. Jobs P, Q, R and S take 30 minutes, 20 minutes, 60 minutes and 15 minutes each respectively. There are 10 objects each requiring exactly 1 job. Job P is to be performed on 2 objects, Job Q on 3 objects, Job R on 1 object and Job S on 4 objects. What is the minimum time needed to complete all the jobs?
Your answerChoose one option.
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