Mining Engineering
2023 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE MN 2023 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 58–60 of 65. Imported answers require review unless explicitly marked reviewed.
Question 58
Open questionMNNAT2 marksNeeds review
A workship has four tasks and equal number of machines to perform the tasks. Each of the machines can perform only one of the four tasks. The estimated cost at each of the machines to complete each task is given in table
| MACHINE | T1 | T2 | T3 | T4 |
|---|---:|---:|---:|---:|---:|
| M1 | 10 | 40 | 60 | 30 |
| M2 | 90 | 70 | 100 | 90 |
| M3 | 40 | 50 | 110 | 70 |
| M4 | 80 | 70 | 80 | 50 |
The total cost of optimal assignment is_____.
[rounded off to 1 decimal place]
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Open questionMNNAT2 marksNeeds review
The time between consecutive accidents in days in an underground coal mine in a year are as follows
10, 15, 6, 18, 12, 14, 16, 9, 21, 15, 26, 18, 22, 25, 13
Assuming exponential distribution, the probability that there will be no accident over a 10-day period is _____.
[rounded off to 2 decimal places]
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Open questionMNNAT2 marksNeeds review
A surface mine blast pattern has spacing 4 m and burden 3 m. The diameter of the drill hole is 110 mm. The drilling length is 8.8 m including subgrade of 10%. The bulk explosive density is 900 kg/m³.
If the powder factor is 2.5 m³/kg, the charge length in m is _____.
[rounded off to 2 decimal places]
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