GATE MN purpose:exam-prep PYQs & Answers — Page 4

Questions 31–40 of 650. Imported answers require independent review unless marked reviewed.

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)

Diagram for Mining Engineering question 31

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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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)

Diagram for Mining Engineering question 35

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The value of the determinant of the Hessian of

at its stationary point is

Your answerChoose one option.

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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

x	2.0	2.5	3.0
y	3.0	3.5	5.0

Your answerChoose one option.

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Given

and

with

and

, the value of

Your answerChoose one option.

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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.

P → 4, Q → 3, R → 1, S → 2

P → 3, Q → 1, R → 4, S → 2

P → 4, Q → 3, R → 2, S → 1

P → 3, Q → 4, R → 2, S → 1

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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

Diagram for Mining Engineering question 40

Your answerChoose one option.

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GATE MN purpose:exam-prep PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40