Mining Engineering
GATE MN purpose:exam-prep PYQs
Build your understanding with focused practice from past exam papers.
Questions 301–310 of 650. Imported answers require independent review unless marked reviewed.
Question 41
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A coal mining company examines the option of buying two types of dumpers with the following details.
Parameter | Type-1 | Type-2 | Constraints |
|---|---|---|---|
Capital cost per dumper (in ₹ crore) | 3.0 | 4.0 | Maximum capital available for purchasing is ₹120 crore |
Capacity in tonne | 40 | 50 | Minimum daily tonne to be hauled is 31,000 |
Daily trips for each dumper | 20 | 20 | |
Operating cost (in ₹) per tonne | 300.0 | 200.0 | |
In order to minimize the operating cost, the optimum fleet of dumpers of Type-1 and Type-2, respectively are
Your answerChoose one option.
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Let
be a continuous and differentiable function on [3, 18]. If
and
, then the largest possible value of
, is ________. (in integer)Log in to check the answer
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Let
, where
and
are temperatures in degree centigrade of a room and a thermometer, respectively, and
denotes time in minutes. A thermometer at a reading of 2°C is brought in a room of temperature 40°C. Two minutes later, the thermometer reads 15°C. The time elapsed in minutes when the thermometer reads 39.5°C, is ______. (round off to two decimal places)Log in to check the answer
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In a health centre, the probability of ‘full occupancy’ of COVID beds for a day is 0.8. Assuming Binomial probability distribution, the probability of full occupancy exactly for 5 days in a week, is ______. (round off to three decimal places)
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Following information is given for a drilling operation to be carried out for overburden removal in a surface mine.
Parameter | Value |
|---|---|
Volume of rock blasted per round, m³ | 3,20,000 |
Number of blast holes | 100 |
Drill hole diameter (D), mm | 200 |
Length of subgrade drilling | 8D |
Stemming length | 25D |
Bench height, m | 30 |
Powder factor, m³/kg | 3.2 |
The amount of explosive per unit length of charge in kg/m, is ______. (round off to two decimal places)
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The shaft-top coordinates of two vertical shafts are given below. The depth of the shaft A and B are 200 m and 149 m, respectively.
Shaft | Latitude (m) | Departure (m) | Surface RL (m) |
|---|---|---|---|
A | N70.0 | W150.0 | 250 |
B | N170.0 | E50.0 | 209 |
The downward gradient of the line joining the bottom of the two shafts in degrees, is ______. (round off to two decimal places)
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The oxygen-balanced equation for explosive ANFO is given below.
For 100 litre of fuel oil having density 850 kg/m³, the amount of ammonium nitrate to be mixed, in kg, is ______. (round off to two decimal places)
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Two weightless cables of equal length and cross sectional area are hanging from a ceiling as shown in the figure. They are connected by a horizontal bar of length 1.0 m and pulled by a force, F. The modulus of elasticity of Cable-1 and Cable-2 are 50 GPa and 200 GPa, respectively. If the deformation in both the cables is equal, the distance x, in m is ______. (round off to one decimal place)
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A circular tunnel of radius 3 m is constructed in a hydrostatic stress field of 15 MPa. The modulus of elasticity and Poisson’s ratio of the rock are 5 GPa and 0.25, respectively. A uniform support pressure
is applied at tunnel boundary to restrict the radial deformation at the tunnel boundary to 4 mm. The value of
in MPa is ______. (round off to two decimal places)Log in to check the answer
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The extraction ratio during development of a bord and pillar panel is 0.15 in a flat coal seam. The panel is further extracted by widening the galleries, and the extraction ratio changes to 0.25. The percentage change in pillar stress, considering tributary area method, is ______. (round off to two decimal places)
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