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Type:ALLMCQNATMSQ

General Aptitude(10)Engineering Mathematics(8)Mining Geology, Mine Development and Surveying(8)Geomechanics and Ground Control(11)Mining Methods and Machinery(12)Surface Environment, Mine Ventilation and Underground Hazards(10)Mineral Economics, Mine Planning, Systems Engineering(6)

General Aptitude

10 Questions

GATE→2025→General Aptitude→Verbal Ability

Q1

MCQ[1 Mark]

Even though I had planned to go skiing with my friends, I had to ________ at the last moment because of an injury. Select the most appropriate option to complete the above sentence.

(A)

back up

(B)

back of

(C)

back on

(D)

back out

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q2

MCQ[1 Mark]

The President, along with the Council of Ministers, ________ to visit India next week. Select the most appropriate option to complete the above sentence.

(A)

wishes

(B)

will wish

(C)

is wishing

(D)

wish

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q3

MCQ[1 Mark]

An electricity utility company charges ₹ 7 per kWh (kilo watt-hour). If a 40-watt desk light is left on for 10 hours each night for 180 days, what would be the cost of energy consumption? If the desk light is on for 2 more hours each night for the 180 days, what would be the percentage-increase in the cost of energy consumption?

(A)

₹ 604.8; 10%

(B)

₹ 504; 20%

(C)

₹ 604.8; 12%

(D)

₹ 720; 15%

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q4

MCQ[1 Mark]

In the context of the given figure, which one of the following options correctly represents the entries in the blocks labelled (i), (ii), (iii), and (iv), respectively?

(A)

Q, M, 12, and 8

(B)

K, L, 10 and 14

(C)

I, J, 10, and 8

(D)

L, K, 12 and 8

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q5

MCQ[1 Mark]

A bag contains Violet (V), Yellow (Y), Red (R), and Green (G) balls. On counting them, conditions given... Which one of the following Pie charts correctly represents the balls in the bag?

(A)

A

(B)

B

(C)

C

(D)

D

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q6

MCQ[2 Marks]

Based only on the information provided in the passage, which one of the following statements is true?

(A)

The solitary man described in the passage is dead.

(B)

Strangers helped create a grand reputation for the solitary man described in the passage.

(C)

The solitary man described in the passage found joy in scattering fruits.

(D)

The solitary man worked in a court where he fell ill.

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q7

MCQ[2 Marks]

For the clock shown in the figure, if $O^* = O\;Q\;S\;Z\;P\;R\;T$, and $X^* = X\;Z\;P\;W\;O\;Q$, then which one among the given options is most appropriate for $P^*$?

(A)

P U W R T V X

(B)

P R T O Q S U

(C)

P T V Q S U W

(D)

P S U P R T V

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q8

MCQ[2 Marks]

Consider a five-digit number PQRST that has distinct digits P, Q, R, S, and T, and satisfies the following conditions: $P<Q$, $S>P>T$, $R<T$. If integers 1 through 5 are used to construct such a number, the value of P is:

(A)

1

(B)

2

(C)

3

(D)

4

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q9

MCQ[2 Marks]

A business person buys potatoes of two different varieties P and Q, mixes them in a certain ratio and sells them at ₹ 192 per kg. The cost of the variety P is ₹ 800 for 5 kg. The cost of the variety Q is ₹ 800 for 4 kg. If the person gets 8% profit, what is the P:Q ratio (by weight)?

(A)

5:4

(B)

3:4

(C)

3:2

(D)

1:1

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q10

MCQ[2 Marks]

Three villages P, Q, and R are located in such a way that the distance $PQ = 13$ km, $QR = 14$ km, and $RP = 15$ km, as shown in the figure. A straight road joins Q and R. It is proposed to connect P to this road QR by constructing another road. What is the minimum possible length (in km) of this connecting road?

(A)

10.5

(B)

11.0

(C)

12.0

(D)

12.5

Explanation

Engineering Mathematics

8 Questions

GATE→2025→Engineering Mathematics→Calculus

Q11

MCQ[1 Mark]

If $y=x^{x}$, then $\frac{dy}{dx}$ is

(A)

x^{x}(\ln~x+1)

(B)

x\times x^{x-1}

(C)

x\times(x-1)

(D)

x \ln x

Explanation

GATE→2025→Engineering Mathematics→Linear Algebra

Q12

MCQ[1 Mark]

The rank of $3\times3$ matrix A is 2. The determinant of the matrix is

(A)

0

(B)

1

(C)

2

(D)

3

Explanation

GATE→2025→Engineering Mathematics→Calculus

Q13

NAT[1 Mark]

The value of $\lim_{x\to 0}(\frac{\tan 11x}{\tan 5x})$ is

Explanation

GATE→2025→Engineering Mathematics→Probability and Statistics

Q14

NAT[1 Mark]

The box plot of a data set is shown below. The interquartile range of the data set is

Explanation

GATE→2025→Engineering Mathematics→Probability and Statistics

Q15

NAT[2 Marks]

The percent Fe content of a random sample consisting of five observations is shown: 62, 64, 63, 60, 61. If mean grade of the stockpile is estimated using the above data, the standard error of mean grade, in %, is (rounded off to 3 decimal places)

Explanation

GATE→2025→Engineering Mathematics→Linear Algebra

Q16

NAT[2 Marks]

The characteristic polynomial of a third order matrix, A, is given by $f(x)=x^{3}-6~x^{2}+11~x-6$. If one of the eigen values of A is 1, then sum of the other two eigen values is (in integer)

Explanation

GATE→2025→Engineering Mathematics→Vector Calculus

Q17

NAT[2 Marks]

The directional derivative of a function $f(x,y,z)=4x^{2}+8y^{2}+9z^{2}$ at the point P (3, 4, 5) in the direction vector $\vec{b}=2\hat{i}-3\hat{j}+4\hat{k}$ is (rounded off to 1 decimal place)

Explanation

GATE→2025→Engineering Mathematics→Calculus

Q18

NAT[2 Marks]

The area bounded by the curves, $y=\sqrt{x}$, and $y=8x^{2}$ is (rounded off to 3 decimal places)

Explanation

Mining Geology, Mine Development and Surveying

8 Questions

GATE→2025→Mining Geology, Mine Development and Surveying→Mine Surveying

Q19

MCQ[1 Mark]

A non-transit theodolite does NOT have

(A)

Vernier scale

(B)

face-left and face-right options

(C)

spirit level

(D)

cross-hair

Explanation

GATE→2025→Mining Geology, Mine Development and Surveying→Mine Surveying

Q20

MCQ[1 Mark]

Match the source of error with the corresponding correction in surveying with steel tape.

(A)

P->1, Q->2, R->3

(B)

P->1, Q->3, R->2

(C)

P->2, Q->3, R->1

(D)

P->2, Q->1, R->3

Explanation

GATE→2025→Mining Geology, Mine Development and Surveying→Mine Development

Q21

NAT[1 Mark]

An HMX explosive having Velocity of Detonation (VOD) of $10500\text{ m/s}$ is tested by D'Autriche method with a detonating fuse of VOD $7000\text{ m/s}$, as shown in the figure. The impression mark on lead plate will be obtained at a distance (L), in m, from the midpoint of the fuse, is

Explanation

GATE→2025→Mining Geology, Mine Development and Surveying→Mining Geology

Q22

MCQ[2 Marks]

Match the type of deposit with the corresponding process of formation

(A)

P-III, Q-I, R-IV, S-II

(B)

P-II, Q-IV, R-I, S-III

(C)

P-III, Q-II, R-I, S-IV

(D)

P-IV, Q-III, R-II, S-I

Explanation

GATE→2025→Mining Geology, Mine Development and Surveying→Mine Surveying

Q23

MCQ[2 Marks]

Based on the theodolite survey for a closed traverse PQRS, the following bearings are observed for the sides of the traverse... The interior angles at P and R respectively are

(A)

45^{\circ}00^{\prime},\; 115^{\circ}00^{\prime}

(B)

70^{\circ}00^{\prime},\; 65^{\circ}00^{\prime}

(C)

135^{\circ}00^{\prime},\; 90^{\circ}00^{\prime}

(D)

250^{\circ}00^{\prime},\; 115^{\circ}00^{\prime}

Explanation

GATE→2025→Mining Geology, Mine Development and Surveying→Mine Development

Q24

NAT[2 Marks]

In a surface mine, blasting is carried out using electronic detonator and cartridge emulsion explosive with following details: Burden = 3.5 m, Spacing = 4.5 m, Bench height = 10.0 m, Subgrade drilling = 1.0 m, Stemming = 4.0 m, Linear charge concentration = 16 kg/m, Cost of one detonator = Rs. 800, Cost of explosive = Rs. 30/kg. The cost of blasting material per cubic meter of blasted rock, in Rs., is (rounded off to 2 decimal places)

Explanation

GATE→2025→Mining Geology, Mine Development and Surveying→Mine Surveying

Q25

NAT[2 Marks]

A pit slope has the following information: Number of benches = 5, Height of each bench = 8 m, Bench slope angle = 70 degree. If width of one bench is 24 m and that of other four benches is 10 m each, the overall pit slope angle, in degree, is (rounded off to 2 decimal places)

Explanation

GATE→2025→Mining Geology, Mine Development and Surveying→Mine Surveying

Q26

NAT[2 Marks]

Reciprocal levelling is performed for points P and Q by placing the same levelling instrument at A and B. The observations of staff readings are tabulated as below... If the Reduced Level (RL) of P is 115.246 m, then the true RL of Q, in m, is (rounded off to 3 decimal places)

Explanation

Geomechanics and Ground Control

11 Questions

GATE→2025→Geomechanics and Ground Control→Geomechanics

Q27

MCQ[1 Mark]

The major $(\sigma_{1})$ and minor $(\sigma_{3})$ principal stresses and the maximum shear stress $(\tau_{max})$ are related as $|\tau_{max}|=\sigma_{1}=-\sigma_{3}$. The magnitude of normal stress on the plane where $\tau_{max}$ acts is

(A)

0

(B)

\sigma_{1}

(C)

\sigma_{3}

(D)

(\sigma_{1} - \sigma_{3})/2

Explanation

GATE→2025→Geomechanics and Ground Control→Geomechanics

Q28

MCQ[1 Mark]

In a Brazilian test, the front view of a homogeneous rock sample is shown in the figure. The failure initiates at the point

(A)

M

(B)

N

(C)

O

(D)

P

Explanation

GATE→2025→Geomechanics and Ground Control→Engineering Mechanics

Q29

MCQ[1 Mark]

Three frictionless pulleys with rope attachment are in a static equilibrium as shown in the figure. The mass $m_{1}$ and $m_{2}$, in kg, respectively are

(A)

50, 100

(B)

50, 50

(C)

100, 50

(D)

50, 25

Explanation

GATE→2025→Geomechanics and Ground Control→Geomechanics

Q30

NAT[1 Mark]

Hydraulic fracturing method is used to determine the major principal stress $(\sigma_{1})$ in an underground rock strata having tensile strength of 6 MPa. The minor principal stress $(\sigma_{3})$ in the strata is 8 MPa. If fluid pressure of 10 MPa is required to fracture the vertical borehole in that strata, the magnitude of $\sigma_{1}$, in MPa, is

Explanation

GATE→2025→Geomechanics and Ground Control→Geomechanics

Q31

NAT[1 Mark]

The unadjusted RMR of a tunnel roof is 64. A single joint set exists in the roof as shown in the figure... Using the abridged RMR table for adjustment orientation, the RMR is

Explanation

GATE→2025→Geomechanics and Ground Control→Geomechanics

Q32

NAT[1 Mark]

If the in-situ density of coal is $1320\text{ kg}/\text{m}^{3}$ and the density of blasted coal is $952\text{ kg}/\text{m}^{3}$, the swell factor is

Explanation

GATE→2025→Geomechanics and Ground Control→Geomechanics

Q33

MCQ[2 Marks]

A triaxial test on a sandstone sample is conducted at a confining pressure of 10 MPa. The elastic axial and volumetric strains at axial stress of 50 MPa are recorded to be $4.2\times10^{-3}$ and $2.0\times10^{-3}$ respectively. The modulus of elasticity, in GPa, and Poisson's ratio of the sample, respectively are closest to

(A)

5.11, 0.35

(B)

10.22, 0.35

(C)

5.11, 0.17

(D)

10.22, 0.17

Explanation

GATE→2025→Geomechanics and Ground Control→Geomechanics

Q34

MCQ[2 Marks]

A ground reaction curve (GRC) of a 3 m radius unlined circular tunnel is shown in the figure. The tunnel is supported by 300 mm thick shotcrete lining... If the lining is constructed after 5 mm radial deformation, the support reaction is best represented by the line

(A)

P

(B)

Q

(C)

R

(D)

S

Explanation

GATE→2025→Geomechanics and Ground Control→Subsidence

Q35

NAT[2 Marks]

A longwall panel is to be developed in a flat seam at a depth of H m. The surface subsidence profile (s) of the area with the horizontal distance x is estimated as $s=\frac{S_{max}}{2}[1.002-tanh(\frac{4.8x}{H})]$ where, $S_{max}$ is the maximum subsidence at the centre of the panel, x is measured from the inflection point. The ratio between the critical width of the panel and the depth is (rounded off to 2 decimal places)

Explanation

GATE→2025→Geomechanics and Ground Control→Ground Control

Q36

NAT[2 Marks]

In a bord and pillar panel, a square pillar of size $35\text{ m}\times35$ m (centre to centre) is extracted to form four equal square-shaped stooks as shown. The width of each gallery and crosscut is 5 m. The height of the working seam is 3 m. The reduction in safety factor after pillar splitting by using Bieniawski's pillar strength formula, in %, is (rounded off to 2 decimal places)

Explanation

GATE→2025→Geomechanics and Ground Control→Engineering Mechanics

Q37

NAT[2 Marks]

A five-member truss system is shown in the figure. The maximum vertical force P in kN that can be applied so that loads on the member CD and BC do NOT exceed 50 kN and 30 kN, respectively is (rounded off to 2 decimal places)

Explanation

Mining Methods and Machinery

12 Questions

GATE→2025→Mining Methods and Machinery→Mining Methods

Q38

MCQ[1 Mark]

A steeply dipping metalliferous ore body is non-susceptible to spontaneous heating. The blasted ore is used as the platform to work in a stope. Appropriate mining method for this orebody is

(A)

room and pillar

(B)

sublevel caving

(C)

block caving

(D)

shrinkage stoping

Explanation

GATE→2025→Mining Methods and Machinery→Mining Machinery

Q39

MCQ[1 Mark]

The safety device used to arrest forward runaway tubs in rope haulage, is

(A)

monkey catch

(B)

drop warwick

(C)

stop-block

(D)

backstay

Explanation

GATE→2025→Mining Methods and Machinery→Mining Machinery

Q40

MCQ[1 Mark]

As per CMR 2017, haulage ropes shall be recapped once at least in every

(A)

6 months

(B)

12 months

(C)

18 months

(D)

24 months

Explanation

GATE→2025→Mining Methods and Machinery→Mining Methods

Q41

NAT[1 Mark]

In a bord and pillar panel, the following data are obtained: Number of blasting rounds per shift = 8, Face dimension $(m\times m) = 4.2\times2.5$, Average pull (m) = 1.2, Specific gravity of coal = 1.4, Manpower per shift = 100. The OMS (output per manshift) of the panel, in tonne, is

Explanation

GATE→2025→Mining Methods and Machinery→Mining Methods

Q42

MSQ[2 Marks]

The CORRECT statement(s) of dragline operation is/are -

(A)

The initial cut is called "Key" cut.

(B)

Tandem method of operation requires at least two draglines.

(C)

Dragline excavates material above the working bench.

(D)

Dragline can move with walking pad.

Explanation

GATE→2025→Mining Methods and Machinery→Mining Machinery

Q43

NAT[2 Marks]

A constant feed of $400\text{ mL/s}$ is maintained by a Xanthate column of height H as shown in the figure. The outlet cross section area is $1.0\times10^{-4}\text{ m}^{2}$. The acceleration due to gravity is $10\text{ m/s}^{2}$. Neglecting friction and other losses, the value of H, in cm, is (rounded off to 2 decimal places)

Explanation

GATE→2025→Mining Methods and Machinery→Mining Methods

Q44

NAT[2 Marks]

A continuous miner serves two shuttle cars of 12 tonne capacity each. Shuttle cars I and II operate with a total cycle time of 12 minutes and 15 minutes respectively, which includes loading time of 8 minutes for each car. The production rate of the continuous miner, in tonne/hour, is (rounded off to 2 decimal places)

Explanation

GATE→2025→Mining Methods and Machinery→Mining Methods

Q45

NAT[2 Marks]

In a sublevel stope, a ringhole blast round is designed for winning 2500 tonne of ore with 8.0% metal content. The blast results into breakage of 90.0% of the design blast round. Overbreak of 250 tonne wallrock with 0.5% metal content dilutes the blasted ore. The total metal content, in tonne, considering 95% recovery of the blasted muck from the stope, is (rounded off to 2 decimal places)

Explanation

GATE→2025→Mining Methods and Machinery→Mining Machinery

Q46

NAT[2 Marks]

A direct rope haulage has the following details: Output = 24 tonne/hour, Length of trip = 6101 m, Gradient = 1 in 12, Capacity of mine car = 1.0 tonne, Tare weight of mine car = 0.5 tonne, Average rope speed = 1.694 m/s, Change over time of cars = 3 minute, Acceleration due to gravity = $10.0\text{ m/s}^{2}$. Neglecting all frictional resistance and mass of the rope, the minimum power required, in kW, to raise the loaded mine cars is (rounded off to 3 decimal places)

Explanation

GATE→2025→Mining Methods and Machinery→Mining Methods

Q47

NAT[2 Marks]

A mine void of dimension $100.0\text{ m}\times2.0\text{ m}\times1.2\text{ m}$ is to be filled in 3 hours by hydraulic stowing. The sand to slurry ratio is 0.4. If the hydraulic fill factor is 0.9, the hourly consumption of water for the operation, in $\text{m}^{3}$, is (rounded off to 2 decimal places)

Explanation

GATE→2025→Mining Methods and Machinery→Mining Machinery

Q48

NAT[2 Marks]

A 2.5 tonne diesel locomotive hauls 5 mine cars upslope having a gradient of 1 in 20. The constant tractive force of the locomotive is 1800 kN. The gross weight of a car is 3 tonne. Acceleration due to gravity is $10.0\text{ m/s}^{2}$. If the acceleration of the system is $0.5\text{ m/s}^{2}$, the rolling resistance in kN/tonne is (rounded off to 3 decimal places)

Explanation

GATE→2025→Mining Methods and Machinery→Mining Machinery

Q49

NAT[2 Marks]

A double ended ranging drum (DERD) shearer uni-directionally cuts coal in a longwall panel having the following details: Shearer drum diameter = 1.4 m, Panel dimension = $1200\text{ m}\times200\text{ m}\times2.4$ m, Web depth = 0.6 m, Average cutting speed = 5 m/minute, Average retreating speed = 10 m/minute, Average operational delay between cuts is 2 hour. There are two production shifts, each of 8 hour duration. The number of days required for complete extraction of the panel is (in integer)

Explanation

Surface Environment, Mine Ventilation and Underground Hazards

10 Questions

GATE→2025→Surface Environment, Mine Ventilation and Underground Hazards→Mine Ventilation

Q50

MCQ[1 Mark]

The figure below shows four profiles of the environmental lapse rate. Given the dry adiabatic lapse rate $=-10^{\circ}\text{C/km}$, the atmosphere is highly unstable for the profile

(A)

OP

(B)

OQ

(C)

OR

(D)

OS

Explanation

GATE→2025→Surface Environment, Mine Ventilation and Underground Hazards→Mine Ventilation

Q51

MCQ[1 Mark]

In a depillaring face of an underground coal mine, both wet and dry bulb temperatures are $30^{\circ}\text{C}$. The relative humidity of the face environment, in percentage, is

(A)

0

(B)

30

(C)

60

(D)

100

Explanation

GATE→2025→Surface Environment, Mine Ventilation and Underground Hazards→Underground Hazards

Q52

MCQ[1 Mark]

The chemicals used in a foam type fire extinguisher are

(A)

NaHCO_{3} and Na_{2}SO_{4}

(B)

Al_{2}(SO_{4})_{3} and Na_{2}SO_{4}

(C)

Al_{2}(SO_{4})_{3} and Al(OH)_{3}

(D)

NaHCO_{3} and Al_{2}(SO_{4})_{3}

Explanation

GATE→2025→Surface Environment, Mine Ventilation and Underground Hazards→Mine Ventilation

Q53

MCQ[1 Mark]

Pressure head characteristic of a mine fan and a mine characteristic curves are shown in figure below: Match the points with their corresponding nomenclatures

(A)

P->1, Q->2, R->3

(B)

P->2, Q->3, R->1

(C)

P->3, Q->1, R->2

(D)

P->1, Q->3, R->2

Explanation

GATE→2025→Surface Environment, Mine Ventilation and Underground Hazards→Mine Ventilation

Q54

NAT[1 Mark]

In a ventilation network, three airways with resistances of $4.0\text{ Ns}^{2}\text{m}^{-8}$, $6.25\text{ Ns}^{2}\text{m}^{-8}$ and $9.0\text{ Ns}^{2}\text{m}^{-8}$ are connected in parallel. The equivalent resistance of the network in $\text{Ns}^{2}\text{m}^{-8}$ is

Explanation

GATE→2025→Surface Environment, Mine Ventilation and Underground Hazards→Mine Ventilation

Q55

MCQ[2 Marks]

A fixed quantity of air needs to be sent through a cross section, as shown in the figure. The perimeter of the cross section is 20 m. The radius (r) of the semicircle, in m, to minimize the air velocity through the section is

(A)

20/(4+\pi)

(B)

40/(4+\pi)

(C)

20/(4-\pi)

(D)

40/(4-\pi)

Explanation

GATE→2025→Surface Environment, Mine Ventilation and Underground Hazards→Surface Environment

Q56

NAT[2 Marks]

Average noise level at a working place is 80 dB(A) for the first 10 minutes and 60 dB(A) for the next 30 minutes. The energy equivalent continuous noise level at the place for the entire period of 40 minutes, in dB(A), is (rounded off to 2 decimal places)

Explanation

GATE→2025→Surface Environment, Mine Ventilation and Underground Hazards→Mine Ventilation

Q57

NAT[2 Marks]

In a longwall panel, air flows at a velocity of $1.2\text{ m/s}$ through a 900 m long gate road of 2.5 m height and 3 m width. The coefficient of friction is $0.022\text{ Ns}^{2}\text{m}^{-4}$. The frictional pressure drop, in Pa, between two ends of the gate road is (rounded off to 3 decimal places)

Explanation

GATE→2025→Surface Environment, Mine Ventilation and Underground Hazards→Surface Environment

Q58

NAT[2 Marks]

A $SO_{2}$ is emitted at a rate of $20\text{ kg/s}$ from a $10\text{ km}\times10\text{ km}$ airshed in an industrial area. Wind blows at a speed of $4\text{ m/s}$ from one direction in that area. Radiation inversion restricts the mixing height to 1200 m. Neglect $SO_{2}$ concentration in the incoming air. Assuming emitted $SO_{2}$ to be conservative, the steady state $SO_{2}$ concentration in the airshed, in $\mu\text{g/m}^{3}$, is (rounded off to 2 decimal places)

Explanation

GATE→2025→Surface Environment, Mine Ventilation and Underground Hazards→Surface Environment

Q59

NAT[2 Marks]

A wastewater sample has an ultimate BOD of $300\text{ mg/L}$. BOD reaction rate constant is 0.22 per day at $20^{\circ}\text{C}$. If the temperature coefficient is 1.05, the 5-day BOD at $25^{\circ}\text{C}$ in $mg/L$, is (rounded off to 2 decimal places)

Explanation

Mineral Economics, Mine Planning, Systems Engineering

6 Questions

GATE→2025→Mineral Economics, Mine Planning, Systems Engineering→Mineral Economics

Q60

MCQ[1 Mark]

The metal that belongs to Rare Earth Element category is

(A)

Cerium

(B)

Lithium

(C)

Titanium

(D)

Cobalt

Explanation

GATE→2025→Mineral Economics, Mine Planning, Systems Engineering→Systems Engineering

Q61

NAT[1 Mark]

In a shovel dumper combination, the loading time of a dumper is 3 minutes. The shovel serves 8 dumpers. If the cycle time of a dumper including its loading time is 22 minutes, the waiting time of a dumper, in minute, is

Explanation

GATE→2025→Mineral Economics, Mine Planning, Systems Engineering→Mine Planning

Q62

NAT[1 Mark]

The relevant information on metal extraction from a copper mine are given below: Selling price of copper (Rs./kg) = 900, Mining cost (Rs./tonne of ore) = 500, Processing cost (Rs./tonne of ore) = 2000, Overall recovery of copper metal (%) = 70. Ignoring all other costs, the breakeven cutoff grade of copper, in %, is

Explanation

GATE→2025→Mineral Economics, Mine Planning, Systems Engineering→Systems Engineering

Q63

MCQ[2 Marks]

Following information are given for three mines of a company receiving explosives from three suppliers... Considering the initial basic feasible solution of this transportation problem, using North-West corner method, the transportation cost of explosives supplied to the company, in Rs., is

(A)

293500

(B)

312500

(C)

385000

(D)

412000

Explanation

GATE→2025→Mineral Economics, Mine Planning, Systems Engineering→Mine Planning

Q64

NAT[2 Marks]

Data from a borehole log with collar elevation at 590 mRL are given below. Composite grade is calculated using cores of 5 m above and below the reference bench at 580 mRL. The composite grade, in %, is (rounded off to 1 decimal place)

Explanation

GATE→2025→Mineral Economics, Mine Planning, Systems Engineering→Mineral Economics

Q65

NAT[2 Marks]

The information of a mining project for a life of three years is given below: ... If straight line depreciation with zero salvage value is applicable, the NPV, in Crore Rupees, is (rounded off to 2 decimal places)

Explanation