Mining Engineering
GATE MN kind:question PYQs
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Questions 381–390 of 650. Imported answers require independent review unless marked reviewed.
Question 46
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In a sand stowing arrangement, the slurry has a sand concentration of 35% by volume. The specific gravity of sand grain is 2.6. The concentration of sand by weight, in percent, in the slurry is ______. [round off to one decimal place]
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In a surface mine, third bench from the pit bottom is blasted, as shown in the figure.
The width, height and slope angle of each bench are 8 m, 6 m, and 80°, respectively. A fly rock is projected at an angle of 45° with the horizontal with initial velocity, v. If the acceleration due to gravity is 10 m/s² then the minimum velocity (v) in m/s required for the fly rock to reach just beyond toe of the pit slope is ______. [round off to 2 decimal places]
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Injury experience is studied in an underground coal mine with a random sample of 132 workers. The results of the study are tabulated below.
| Injured | Non-injured | Total workers |
|---|---|---|---|
Roof-bolter operators | 13 | 12 | 25 |
Loader operators | 35 | 72 | 107 |
Total workers | 48 | 84 | 132 |
The odds ratio of experiencing an injury by the roof-bolter operators when compared to the loader operators is ______. [round off to 2 decimal places]
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A random variable
is defined by
The value of
is ______. [round off to one decimal place]Log in to check the answer
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A project network consists of the following activities.
Activity | Immediate predecessors | Duration (days) |
|---|---|---|
A | -- | 3 |
B | -- | 4 |
C | A, B | 5 |
D | B | 6 |
E | D | 7 |
F | C, E | 8 |
G | D | 9 |
H | F, G | X |
If the project completion time is 30 days, then the value of ‘X’, in days, is ______. [in integer]
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Rate of fuel consumption
(litres per hour) of a truck varies with truck speed
, (kmph) as given below
The fuel price is Rs. 70 per litre. Other costs amount to Rs. 500 per hour. If the truck travels 100 km from a coal mine to a thermal plant, the speed of the truck, in kmph, that minimizes the total cost is ______. [round off to one decimal place]Log in to check the answer
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A cement company has three factories which transport cement to four distribution centres. The daily production of each factory, the demand at each distribution centre, and the associated transportation cost per tonne from factory to distribution centre are given in the Table.
Factory | D₁ | D₂ | D₃ | D₄ | Supply (tonnes/day) |
|---|---|---|---|---|---|
F₁ | 20 | 30 | 110 | 70 | 600 |
F₂ | 10 | 0 | 60 | 10 | 100 |
F₃ | 50 | 80 | 150 | 90 | 1000 |
Demand (tonnes/day) | 700 | 500 | 300 | 200 | |
The initial basic feasible solution using the least-cost rule is ______. [in integer]
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The grade-tonnage distribution for the ultimate pit of a mine is given below.
Cu grade (%) | Cumulative million tonnes below the grade |
|---|---|
0.1 | 0 |
0.4 | 15.0 |
0.5 | 17.0 |
0.6 | 18.0 |
0.7 | 19.0 |
0.9 and above | 23.0 |
The mill cut-off grade is 0.5 % Cu. The annual mining capacity (ore + waste) is 4.5 million tonne and milling capacity is 1.0 million tonne. Excavation is planned in such a way that either of the mine or the mill runs at full capacity throughout. The planned life of the mine, in years, is ______. [round off to one decimal place]
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A coal mine operating in three shifts produces 400 tonnes of coal per day with a face OMS of 1.0 from panel A, and 200 tonnes of coal with face OMS of 1.0 from panel B. The panel A and panel B are in parallel with resistance 0.6 Ns²m⁻⁸ and 0.5 Ns²m⁻⁸, respectively. If the panels are supplied with minimum permissible quantity as per CMR 2018, the required regulator resistance to meet the conditions in Ns²m⁻⁸ is ______. [round off to 2 decimal places]
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A set of three steel bars of equal cross-sectional area of 0.01 m² are loaded, as shown in the figure. The elastic modulus of steel is 200 GPa. The overall change of length of the complete set of bars, in mm, is ______. [round off to 3 decimal places]
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