GATE MN branch:mn PYQs & Answers — Page 5

Questions 41–50 of 650. Imported answers require independent review unless marked reviewed.

Match the shaft sinking method with its applicability.

Shaft sinking method	Applicability
(P) Piling system	(1) Strata consisting of alternate strong and loose soil, and drum sinks down by its own weight
(Q) Caison method	(2) Sinking through the loose ground near the surface
(R) Cementation	(3) Heavily watery strata, including quick sand
(S) Freezing	(4) Fissured water bearing strata without running sand

Your answerChoose one option.

P → 2, Q → 3, R → 4, S → 1

P → 4, Q → 1, R → 2, S → 3

P → 2, Q → 1, R → 4, S → 3

P → 4, Q → 3, R → 2, S → 1

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A shovel needs to be selected from four models of different capacities, S1 to S4, for loading of dumpers. The operational data for the shovel-dumper combination are provided. The mean arrival rate of the dumpers at the loading point is 5 per hour and the waiting cost of dumper is ₹ 200 per hour. The inter-arrival time of dumpers and loading time of shovel follows exponential distribution. Ignoring the shovel hiring cost, the shovel type that will have minimum total cost (waiting and operating cost) is

Model	Operating cost of shovel (₹ per hour)	Mean loading rate of shovel (number of dumpers per hour)
S1	80	8
S2	85	9
S3	90	10
S4	100	11

Your answerChoose one option.

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The in-situ stresses are determined by Flat-jack method by making three slots (P, Q, and R) on the wall (ABCD) of a mine gallery as shown. The in-situ stresses

, and

are determined at slot-P, slot-Q, and slot-R, respectively. If

and

, the shear stress on the wall is

Diagram for Mining Engineering question 43

Your answerChoose one option.

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The observations from a correlation survey are shown. If the coordinates of points C and D are (East: 375 m, North: 120 m) and (East: 376 m, North: 121 m), respectively, the whole circle bearing of the line EF is

Diagram for Mining Engineering question 44

Your answerChoose one option.

215°19′59.6″

35°19′59.6″

215°20′1.4″

35°20′1.4″

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A closed-circuit self-contained breathing apparatus (SCA) contains 2 liters of O

at 200 bar. If a miner consumes O

at a rate of 2 liters min

, the maximum duration that the apparatus can supply O

, in min, is ____________. (answer in integer)

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The borehole data for resource estimation for an iron ore deposit are shown. The average grade of the deposit, in %, is ____________. (rounded off to two decimal places)

Plan view: A1 = 0.02 km², A2 = 0.03 km², A3 = 0.04 km². Borehole sections: D1 has 6 m at 63% and 6 m at 66%; D2 has 6 m at 60% and 4 m at 64%; D3 has 8 m at 64% and 7 m at 62%. Index: D1 to D3: Exploratory Borehole ID; A1 to A3: Corresponding Polygonal Area.

Diagram for Mining Engineering question 46

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A mine workshop needs to assign 4 jobs to 4 service engineers. The cost for performing a job by an individual service engineer is given. A typical job can be assigned to only one service engineer. If the service engineer S1 cannot perform the job J3, and S3 cannot perform the job J4, the optimal cost for completion of jobs is ____________. (answer in integer)

Service Engineer	J1	J2	J3	J4
S1	50	50	---	20
S2	70	40	20	70
S3	90	30	50	---
S4	70	20	60	30

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Using linear regression (least squares), the best-fit line for the given dataset is y = 2.2x + 2.3. Given the residual sum of squares is 25.8, the coefficient of determination (

), is _____________. (rounded off to two decimal places)

x	2	3	4	5
y	8	9	7	16

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A plug dam is to be constructed in a mine gallery of size 3.5 m × 2.5 m. The interfacial shear strength between the surrounding rock and plug dam is 1.0 MPa. The minimum thickness of the dam, in m, to withstand a water pressure of 10.0 MPa, is _____________. (rounded off to two decimal places)

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A shovel costing (

) ₹ 20 crores has a salvage value (

) of ₹ 2 crores with a useful life (

) of 10 years. The annual depreciation is evaluated using declining balance method as given by

The depreciated cost of the shovel, in crores, in its 2

year is ₹ _____________. (rounded off to two decimal place)

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GATE MN branch:mn PYQs

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50