Mining Engineering
GATE MN format:nat PYQs
Build your understanding with focused practice from past exam papers.
Questions 171–180 of 300. Imported answers require independent review unless marked reviewed.
Question 49
Open questionMNNAT2 marksNeeds review
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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Open questionMNNAT2 marksNeeds review
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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Open questionMNNAT2 marksNeeds review
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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Open questionMNNAT2 marksNeeds review
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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Open questionMNNAT2 marksNeeds review
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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Open questionMNNAT1 markNeeds review
For
in the range of [-3, 3], the maximum value for the function
is __________ (round off to 1 decimal place).Log in to check the answer
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A rock sample has coefficient of thermal diffusivity 1.282×10⁻⁶ m²/s, specific heat 900 J/(kg °C) and density 2600 kg/m³. The coefficient of thermal conductivity of the rock sample in W/(m °C) is __________ (round off to 1 decimal place).
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Open questionMNNAT1 markNeeds review
A random variable
has the following probability mass function. | 3 | 6 | 8 | 12 |
|---|---|---|---|---|
| 1/2 | 1/4 | 1/8 | 1/8 |
The expected value of the variable
is __________ (round off to 1 decimal place).Log in to check the answer
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