Mining Engineering
GATE MN topic:mining-engineering PYQs
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Questions 31–40 of 650. Imported answers require independent review unless marked reviewed.
Question 31
Open questionMNNAT1 markNeeds review
The expected time (P days) and standard deviation (Q days) of the different activities (A to F) in a project are indicated in the network diagram as (P, Q). The standard deviation of the project completion time, in days, is ____________. (rounded off to one decimal place)

Network diagram activity labels and nodes: A (12, 0) from 1 to 2; B (23, 4) from 1 to 3; C (15, 1) from 2 to 4; D (18, 2) from 4 to 5; E (27, 3) from 3 to 6; F (6, 2) from 5 to 6.
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Open questionMNNAT1 markNeeds review
The shaft of a motor rotating at 50 rev s⁻¹ is uniformly retarded to 20 rev s⁻¹ in 15 s. The number of complete rotations the shaft makes in the given time is ____________. (answer in integer)
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In an underground mine, an airflow of 30 m³ s⁻¹ is delivered through a circular opening having a diameter of 5 m and a length of 500 m. Assuming that there is no change in the surface characteristics, the diameter of the opening, in m, required to double the quantity of airflow at same pressure loss is ____________. (rounded off to two decimal places)
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In an underground mine atmosphere, the alcohol of a Kata thermometer took 60 s to fall from 38 °C to 35 °C. The Kata factor of the thermometer is 480 milli-calories cm⁻². The Kata cooling power, in W m⁻², is ____________. (rounded off to one decimal place)
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A belt is wrapped around a pulley as shown. The coefficient of friction between the belt and pulley is 0.3. If there is no slippage between the belt and pulley, the angle of wrap (θ), in degrees, is ____________. (rounded off to two decimal places)

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Open questionMNMCQ2 marksNeeds review
The value of the determinant of the Hessian of
at its stationary point isYour answerChoose one option.
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Open questionMNMCQ2 marksNeeds review
Given the data in the following Table, Newton’s divided difference interpolation polynomial is
If the values of
and
are 3 and 1, respectively, then the value of
isx | 2.0 | 2.5 | 3.0 |
|---|---|---|---|
y | 3.0 | 3.5 | 5.0 |
Your answerChoose one option.
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Open questionMNMCQ2 marksNeeds review
Given
,
,
and
If
with
and
, the value of
isYour answerChoose one option.
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Open questionMNMCQ2 marksNeeds review
Match the type of rock with its metamorphic form.
Igneous/Sedimentary rock | Metamorphic rock |
|---|---|
(P) Shale | (1) Gneiss |
(Q) Limestone | (2) Quartzite |
(R) Granite | (3) Marble |
(S) Sandstone | (4) Slate |
Your answerChoose one option.
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Open questionMNMCQ2 marksNeeds review
In an underground coal mine, the air quantities
and
pass through ventilation districts A and B, respectively as shown, with a pressure drop of
across them. The air quantity in district B is to be increased to
by installing a booster fan, as shown, without affecting the air quantity in ventilation district A. The capacity of booster fan (
) can be expressed as 
Your answerChoose one option.
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