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Type:ALLMCQNATMSQ

General Aptitude(10)Engineering Mathematics(9)Mining Geology, Mine Development and Surveying(8)Geomechanics and Ground Control(9)Mining Methods and Machinery(8)Surface Environment, Mine Ventilation and Underground Hazards(9)Mineral Economics, Mine Planning, Systems Engineering(12)

General Aptitude

10 Questions

GATE→2022→General Aptitude→Verbal Ability

Q1

MCQ[1 Mark]

Mr. X speaks neither Japanese nor Chinese.

(A)

neither/or

(B)

either/nor

(C)

neither / nor

(D)

also / but

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q2

MCQ[1 Mark]

A sum of money is to be distributed among P, Q, R, and S in the proportion 5:2:4:3, respectively. If R gets 1000 more than S, what is the share of Q (in ₹)?

(A)

500

(B)

1000

(C)

1500

(D)

2000

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q3

MCQ[1 Mark]

A trapezium has vertices marked as P, Q, R and S (in that order anticlockwise). The side PQ is parallel to side SR. Further, it is given that, $PQ=11$ cm, $QR=4$ cm, $RS=6$ cm and $SP=3$ cm. What is the shortest distance between PQ and SR (in cm)?

(A)

1.80

(B)

2.40

(C)

4.20

(D)

5.76

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q4

MCQ[1 Mark]

The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole. What is the maximum number of squares without a 'hole in the interior' that can be formed within the $4\times4$ grid using the unit squares as building blocks?

(A)

15

(B)

20

(C)

21

(D)

26

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q5

MCQ[1 Mark]

An art gallery engages a security guard to ensure that the items displayed are protected... Which one of the following correctly represents the set of ALL possible locations among the locations P, Q, R and S, where the security guard can be posted to watch over the entire inner space of the gallery.

(A)

S

(B)

P and Q

(C)

Q

(D)

Q and S

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q6

MCQ[2 Marks]

Mosquitoes pose a threat to human health. Controlling mosquitoes using chemicals may have undesired consequences. In Florida, authorities have used genetically modified mosquitoes to control the overall mosquito population. It remains to be seen if this novel approach has unforeseen consequences. Which one of the following is the correct logical inference based on the information in the above passage?

(A)

Using chemicals to kill mosquitoes is better than using genetically modified mosquitoes because genetic engineering is dangerous

(B)

Using genetically modified mosquitoes is better than using chemicals to kill mosquitoes because they do not have any side effects

(C)

Both using genetically modified mosquitoes and chemicals have undesired consequences and can be dangerous

(D)

Using chemicals to kill mosquitoes may have undesired consequences but it is not clear if using genetically modified mosquitoes has any negative consequence

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q7

MCQ[2 Marks]

Consider the following inequalities. (i) $2x-1>7$ (ii) $2x-9<1$ Which one of the following expressions below satisfies the above two inequalities?

(A)

x <= -4

(B)

-4 < x <= 4

(C)

4 < x < 5

(D)

x >= 5

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q8

MCQ[2 Marks]

Four points $P(0,1)$, $Q(0,-3)$, $R(-2,-1)$, and $S(2,-1)$ represent the vertices of a quadrilateral. What is the area enclosed by the quadrilateral?

(A)

4

(B)

4\sqrt{2}

(C)

8

(D)

8\sqrt{2}

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q9

MCQ[2 Marks]

In a class of five students P, Q, R, S and T, only one student is known to have copied in the exam. The disciplinary committee has investigated the situation and recorded the statements from the students as given below. Statement of P: R has copied in the exam. Statement of Q: S has copied in the exam. Statement of R: P did not copy in the exam. Statement of S: Only one of us is telling the truth. Statement of T: R is telling the truth. The investigating team had authentic information that S never lies. Based on the information given above, the person who has copied in the exam is

(A)

R

(B)

P

(C)

Q

(D)

T

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q10

MCQ[2 Marks]

Consider the following square with the four corners and the center marked as P, Q, R, S and T respectively... Which one of the following statements is correct as per the information provided above?

(A)

The sequence of operations (1) and (2) are equivalent

(B)

The sequence of operations (1) and (3) are equivalent

(C)

The sequence of operations (2) and (3) are equivalent

(D)

The sequence of operations (1), (2) and (3) are equivalent

Explanation

Engineering Mathematics

9 Questions

GATE→2022→Engineering Mathematics→Calculus

Q11

MCQ[1 Mark]

The value of $\lim_{x \to 0} \frac{(1-x)^n - 1}{x}$ is

(A)

0

(B)

1

(C)

-n

(D)

n

Explanation

GATE→2022→Engineering Mathematics→Vector Calculus

Q12

MCQ[1 Mark]

A velocity field in Cartesian coordinate system is expressed as $\vec{v} = x\hat{i} + y\hat{j} + p(z)\hat{k}$, where $p(0)=0$. If $\text{div } \vec{v} = 0$, $p(z)$ is

(A)

0

(B)

-2z

(C)

2

(D)

2z

Explanation

GATE→2022→Engineering Mathematics→Calculus

Q13

MCQ[1 Mark]

The constant term of the Fourier coefficients of the periodic function $f(x)$ where $f(x) = \begin{cases} k, & -\pi < x < 0 \\ 0, & 0 < x < \pi \end{cases}$, $f(x+2\pi)=f(x)$ and $k=\text{constant}$ is

(A)

k

(B)

2k

(C)

2\pi

(D)

0

Explanation

GATE→2022→Engineering Mathematics→Linear Algebra

Q14

MCQ[1 Mark]

Two vectors x and y are shown in the figure. The projection vector of x on y is

(A)

\frac{x^{T}y}{y^{T}y}y

(B)

x \times y

(C)

\frac{x \times y}{y^{T}y}

(D)

\frac{x^{T}y}{x^{T}x}x

Explanation

GATE→2022→Engineering Mathematics→Probability and Statistics

Q15

MCQ[2 Marks]

The closest match of the scatter plot between the variables X and Y with the approximate attribute is

(A)

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

(B)

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

(C)

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

(D)

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

Explanation

GATE→2022→Engineering Mathematics→Calculus

Q16

NAT[2 Marks]

Let $f(x)$ be a continuous and differentiable function on [3, 18]. If $f(3)=-50$ and $f^{\prime}(x)\le20$, then the largest possible value of $f(18)$, is

Explanation

GATE→2022→Engineering Mathematics→Differential Equations

Q17

NAT[2 Marks]

Let $\frac{dT}{dt}\propto(T_{R}-T)$, where $T_{R}$ and $T$ are temperatures in degree centigrade of a room and thermometer, respectively, and $t$ denotes time in minutes. A thermometer at a reading of $2^{\circ}\text{C}$ is brought in a room of temperature $40^{\circ}\text{C}$. Two minutes later, the thermometer reads $15^{\circ}\text{C}$. The time elapsed in minutes when the thermometer reads $39.5^{\circ}\text{C}$, is

Explanation

GATE→2022→Engineering Mathematics→Probability and Statistics

Q18

NAT[2 Marks]

In a health centre, the probability of 'full occupancy' of COVID beds for a day is 0.8. Assuming Binomial probability distribution, the probability of full occupancy exactly for 5 days in a week, is

Explanation

GATE→2022→Engineering Mathematics→Calculus

Q19

NAT[2 Marks]

The value of $\int_{0}^{1}x\log(1+x)dx$ is (round off to two decimal places)

Explanation

Mining Geology, Mine Development and Surveying

8 Questions

GATE→2022→Mining Geology, Mine Development and Surveying→Mine Development

Q20

MCQ[1 Mark]

The drilling technique applicable for mineral exploration is

(A)

Percussive drilling

(B)

Tricone roller drilling

(C)

Rotary-percussive drilling

(D)

Diamond core drilling

Explanation

GATE→2022→Mining Geology, Mine Development and Surveying→Mining Geology

Q21

MCQ[1 Mark]

Match the rock with its metamorphosed form

(A)

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

(B)

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

(C)

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

(D)

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

Explanation

GATE→2022→Mining Geology, Mine Development and Surveying→Mine Development

Q22

MCQ[1 Mark]

A square pattern of blasting is shown in the figure. For the case of simultaneous blast, identify the zone of no fragmentation

(A)

P

(B)

Q

(C)

R

(D)

S

Explanation

GATE→2022→Mining Geology, Mine Development and Surveying→Mine Surveying

Q23

NAT[1 Mark]

In a levelling survey, a reading is taken as 2.25 m. However, along the line of sight there is deflection of 20 cm with respect to vertical position of the staff. The correct reading, in m is

Explanation

GATE→2022→Mining Geology, Mine Development and Surveying→Mine Development

Q24

MCQ[2 Marks]

Match the drilling pattern with mining operation

(A)

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

(B)

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

(C)

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

(D)

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

Explanation

GATE→2022→Mining Geology, Mine Development and Surveying→Mine Development

Q25

NAT[2 Marks]

Following information is given for a drilling operation to be carried out for overburden removal in a surface mine... The amount of explosive per unit length of charge in kg/m is

Explanation

GATE→2022→Mining Geology, Mine Development and Surveying→Mine Surveying

Q26

NAT[2 Marks]

The shaft-top coordinates of two vertical shafts... The downward gradient of the line joining the bottom of the two shafts in degrees, is

Explanation

GATE→2022→Mining Geology, Mine Development and Surveying→Mine Development

Q27

NAT[2 Marks]

The oxygen-balanced equation for explosive ANFO is given below. $3NH_{4}NO_{3}+CH_{2}\rightarrow 7H_{2}O+CO_{2}+3N_{2}$. For 100 litre of fuel oil having density $850\text{ kg}/\text{m}^{3}$ the amount of ammonium nitrate to be mixed, in kg, is

Explanation

Geomechanics and Ground Control

9 Questions

GATE→2022→Geomechanics and Ground Control→Engineering Mechanics

Q28

MCQ[1 Mark]

In the truss shown in the figure, the force in the member BD, in kN is

(A)

7

(B)

5

(C)

2

(D)

0

Explanation

GATE→2022→Geomechanics and Ground Control→Geomechanics

Q29

MCQ[1 Mark]

The correct vertical stress profile in the case of tributary area method for pillar design is

(A)

I

(B)

II

(C)

III

(D)

IV

Explanation

GATE→2022→Geomechanics and Ground Control→Geomechanics

Q30

NAT[1 Mark]

Water flows through a vertical sand column of cross sectional area $4000\text{ mm}^2$ and length 300 mm. For a water head of 600 mm, quantity of seepage water is $100\text{ mm}^3/\text{min}$. The hydraulic conductivity of the sand column, in mm/min is

Explanation

GATE→2022→Geomechanics and Ground Control→Geomechanics

Q31

NAT[1 Mark]

The modified Lauffer diagram as shown in the figure relates to roof span, RMR and stand-up time. In a metal mine, roof span of a drive is 4 m. If the RMR of the rock mass changes from 40 to 60, then the stand-up time increases by a factor of

Explanation

GATE→2022→Geomechanics and Ground Control→Geomechanics

Q32

MCQ[2 Marks]

A 3-point borehole extensometer is installed to identify the location of a single discontinuity plane in a hanging wall rock by measuring deformations at three locations as shown in the figure. The absolute readings of deformations measured on two different dates are listed in the table. Based on the measured data the most likely inference is

(A)

Discontinuity between Anchor-1 and Anchor-2

(B)

Discontinuity between Anchor-2 and Anchor-3

(C)

Discontinuity between Anchor-3 and excavation boundary

(D)

No noticeable discontinuity

Explanation

GATE→2022→Geomechanics and Ground Control→Geomechanics

Q33

MCQ[2 Marks]

In a uniaxial compressive strength test, a rock sample of diameter 50 mm fails at an angle of $60^{\circ}$ as shown in the figure. If the peak load at failure is 120 kN, the normal and shear stresses on failure plane respectively, in MPa are

(A)

15.28 and 26.46

(B)

26.46 and 15.28

(C)

57.02 and -15.28

(D)

-15.28 and 15.28

Explanation

GATE→2022→Geomechanics and Ground Control→Engineering Mechanics

Q34

NAT[2 Marks]

Two weightless cables of equal length and cross sectional area are hanging from a ceiling as shown in the figure. They are connected by a horizontal light bar of length 1.0 m and pulled by a force, F. The modulus of elasticity of Cable-1 and Cable-2 are 50 GPa and 200 GPa, respectively. If the deformation in both the cables is equal, the distance x, in m is

Explanation

GATE→2022→Geomechanics and Ground Control→Geomechanics

Q35

NAT[2 Marks]

A circular tunnel of radius 3 m is constructed in a hydrostatic stress field of 15 MPa. The modulus of elasticity and Poisson's ratio of the rock are 5 GPa and 0.25, respectively. A uniform support pressure $p_{i}$ is applied at tunnel boundary to restrict the radial deformation at the tunnel boundary to 4 mm. The value of $p_{i}$ in MPa is

Explanation

GATE→2022→Geomechanics and Ground Control→Geomechanics

Q36

NAT[2 Marks]

The extraction ratio during development of a bord and pillar panel is 0.15 in a flat coal seam. The panel is further extracted by widening the galleries, and the extraction ratio changes to 0.25. The percentage change in pillar stress, considering tributary area method, is

Explanation

Mining Methods and Machinery

8 Questions

GATE→2022→Mining Methods and Machinery→Mining Methods

Q37

MCQ[1 Mark]

The bottom section of a stoping block has dimensions $200\text{ m}\times40$ m. If the modified RMR of rock mass is 50, the appropriate method of mining on the basis of Laubscher's chart in the figure is

(A)

Shrinkage stoping

(B)

Cut and fill

(C)

Block Caving

(D)

Sublevel stoping

Explanation

GATE→2022→Mining Methods and Machinery→Mining Machinery

Q38

MCQ[1 Mark]

Match the machine with its component.

(A)

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

(B)

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

(C)

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

(D)

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

Explanation

GATE→2022→Mining Methods and Machinery→Mining Methods

Q39

MCQ[1 Mark]

The correct order of pavement layers for a haul road from top to bottom is

(A)

Wearing course -> Base -> Sub base -> Sub grade

(B)

Wearing course -> Sub base -> Base -> Sub grade

(C)

Wearing course -> Sub grade -> Sub base -> Base

(D)

Wearing course -> Base -> Sub grade -> Sub base

Explanation

GATE→2022→Mining Methods and Machinery→Mining Machinery

Q40

NAT[1 Mark]

In a friction winder, the skip accelerates to a steady speed over a time span of 15 s from the start. The torque vs. time diagram for the winding cycle is shown in the figure. The deceleration time in seconds is

Explanation

GATE→2022→Mining Methods and Machinery→Mining Machinery

Q41

NAT[2 Marks]

In a small metal mine a battery powered locomotive hauls a train of mine tubs such that: Weight of train = 3.0 tonne, friction coeff = 0.06, adhesion coeff = 0.2, time to reach speed of $1.8\text{ m}/\text{s}$ through constant acceleration = 3.0 min, upward gradient = 1 in 20. The minimum weight of the locomotive in tonnes to meet these design requirements, is

Explanation

GATE→2022→Mining Methods and Machinery→Mining Machinery

Q42

NAT[2 Marks]

A pump lifts mine water of density $1020\text{ kg}/\text{m}^{3}$, at $250\text{ m}^{3}/\text{hr}$ from a depth of 150 m. The overall pumping efficiency is 68%. Considering a head loss of 15 m due to pipe friction and shock, the motor input power, in kW is

Explanation

GATE→2022→Mining Methods and Machinery→Mining Methods

Q43

NAT[2 Marks]

In a bord and pillar development panel, headings of $4.4\text{ m}\times2.5$ m are advanced using solid blasting. The average pull per round of blast is 1.2 m. On an average 12 faces are blasted per day. Density of coal is $1500\text{ kg}/\text{m}^{3}$. The mine operates in three shifts. If the average daily employment is 330 persons, labour productivity (OMS) of the panel in tonne, is

Explanation

GATE→2022→Mining Methods and Machinery→Mining Machinery

Q44

NAT[2 Marks]

In a longwall face, the full seam thickness of 3 m is cut by a shearer with a web of depth 0.7 m. The hauling speed of shearer during cutting is $12\text{ m}/\text{min}$. The trough cross-section of AFC is $0.4\text{ m}^{2}$ and the average loading coefficient is 0.7. In order to evacuate coal from the face without spillage, the speed of AFC, in m/s is

Explanation

Surface Environment, Mine Ventilation and Underground Hazards

9 Questions

GATE→2022→Surface Environment, Mine Ventilation and Underground Hazards→Underground Hazards

Q45

MCQ[1 Mark]

Which one of the following is NOT a notifiable disease as per Indian mining legislation?

(A)

Silicosis

(B)

Noise induced hearing loss

(C)

Nystagmus

(D)

Asbestosis

Explanation

GATE→2022→Surface Environment, Mine Ventilation and Underground Hazards→Mine Ventilation

Q46

MCQ[1 Mark]

If the ambient lapse rate is higher than the dry adiabatic lapse rate, the atmosphere is

(A)

stable

(B)

neutral

(C)

unstable

(D)

strongly stable

Explanation

GATE→2022→Surface Environment, Mine Ventilation and Underground Hazards→Mine Ventilation

Q47

MCQ[1 Mark]

Identify the WRONG statement: The application of controlled air recirculation in an underground work place can

(A)

increase the air velocity at the work place

(B)

lead to increased concentration of contaminants in the work place

(C)

require the installation of an additional fan in the system

(D)

lead to overall ventilation cost savings

Explanation

GATE→2022→Surface Environment, Mine Ventilation and Underground Hazards→Surface Environment

Q48

NAT[1 Mark]

At a measurement station, the air quality parameters $PM_{2.5}$, $NO_{2}$ and $O_{3}$ have the AQI sub-index values as 180, 96, and 84, respectively. The AQI for the station is

Explanation

GATE→2022→Surface Environment, Mine Ventilation and Underground Hazards→Surface Environment

Q49

NAT[2 Marks]

A city is spread over an area of $20\text{ km}\times40$ km. Wind, at an average speed of 4 m/s, enters perpendicular to the 20 km long side. On a winter day the inversion layer exists over the city at a height of 100 m. PM is emitted from the city at a rate of $1\text{ kg}/\text{s}$. The steady state PM concentration in the city air, in $\mu\text{g}/\text{m}^{3}$, assuming Box model, is

Explanation

GATE→2022→Surface Environment, Mine Ventilation and Underground Hazards→Underground Hazards

Q50

NAT[2 Marks]

The point 'A' as shown in the Coward flammability diagram represents the gas composition of a sealed-off area of a coal mine. The volume of the sealed-off area is $10000\text{ m}^3$. Inert gas is proposed to be injected into the sealed-off area so that the gas composition comes below the LEL (lower explosibility limit). The minimum volume of the inert gas required (at the same pressure as that of the sealed-off area), in $\text{m}^{3}$ is

Explanation

GATE→2022→Surface Environment, Mine Ventilation and Underground Hazards→Underground Hazards

Q51

NAT[2 Marks]

An underground workshop has dimensions of 8 m length, 6 m width and 4 m height. Four identical luminaires are placed at the four corners of the roof. Each luminaire is of 100 W capacity with luminous efficacy of $100\text{ lumen}/\text{W}$. Light is transmitted spherically from luminaires and there are no reflections. The illumination on the horizontal plane at the centre of the floor, in lux is

Explanation

GATE→2022→Surface Environment, Mine Ventilation and Underground Hazards→Mine Ventilation

Q52

NAT[2 Marks]

An underground AC plant requires the delivery of 250 US gpm (15.85 US gpm = 1.0 lps) of chilled water. For this purpose, ice-pellets at $0^{\circ}\text{C}$ temperature (latent heat of melting, 334 kJ/kg) are mixed with water at $20^{\circ}\text{C}$ (specific heat $4.18\text{ kJ}/\text{kg}^{\circ}\text{C}$) on the surface. The mixture is adiabatically transported to the underground location such that the water at $7^{\circ}\text{C}$ becomes available for the AC plant. The requirement of ice-pellets in tonne/hr to meet the design condition, is

Explanation

GATE→2022→Surface Environment, Mine Ventilation and Underground Hazards→Mine Ventilation

Q53

NAT[2 Marks]

An intake shaft has resistance of $0.05\text{ Ns}^{2}/\text{m}^{8}$ up to a depth of 400 m. The airflow rate is $100\text{ m}^{3}/\text{s}$ and the average density is $1.2\text{ kg}/\text{m}^{3}$. A barometer reads 99.375 kPa when placed on surface. Considering acceleration due to gravity is $9.81\text{ m}/\text{s}^{2}$, the reading of the barometer at the depth of 400 m, in kPa is

Explanation

Mineral Economics, Mine Planning, Systems Engineering

12 Questions

GATE→2022→Mineral Economics, Mine Planning, Systems Engineering→Mine Planning

Q54

MCQ[1 Mark]

A deposit has the grade attribute $X \in [0,30]$ with a density function $f(x)$. For a cut-off grade $x_c$, the proportion of the ore in the deposit is given by

(A)

\int_{0}^{30}f(x)dx - \int_{0}^{x_{c}}f(x)dx

(B)

\frac{1}{2}\int_{0}^{30}f(x)dx - \int_{0}^{x_{c}}f(x)dx

(C)

\frac{1}{2}\int_{0}^{30}f(x)dx + \int_{0}^{x_{c}}f(x)dx

(D)

\int_{0}^{x_{c}}f(x)dx

Explanation

GATE→2022→Mineral Economics, Mine Planning, Systems Engineering→Mine Planning

Q55

MCQ[1 Mark]

Identify the WRONG statement: Break-even stripping ratio

(A)

takes into account the maximum pit slope that is safe

(B)

helps in determining the volume of the overburden

(C)

presents the maximum possible mine size that is economical

(D)

takes into account the life of the mine

Explanation

GATE→2022→Mineral Economics, Mine Planning, Systems Engineering→Mineral Economics

Q56

MCQ[1 Mark]

A mining company produces iron ore and sells to another company. Royalty to be paid is on the basis of

(A)

quantity of ore produced

(B)

quantity of ore sold

(C)

difference between the quantities of ore produced and sold

(D)

net profit

Explanation

GATE→2022→Mineral Economics, Mine Planning, Systems Engineering→Mineral Economics

Q57

NAT[1 Mark]

The cost of a screw compressor with an estimated life of 15 years is ₹21,00,000. If the depreciation of the compressor charged, using 'sum-of-the-years-digits' method, at the end of $4^{\text{th}}$ year is ₹2,00,000, the salvage value, in ₹ is

Explanation

GATE→2022→Mineral Economics, Mine Planning, Systems Engineering→Systems Engineering

Q58

NAT[1 Mark]

A safety device consists of two independent critical components $X_{1}$ and $X_{2}$. The failure of any one or both of these components can cause an accident. The failure probabilities of components $X_{1}$ and $X_{2}$ are 0.2 and 0.1, respectively. The probability of occurrence of an accident is

Explanation

GATE→2022→Mineral Economics, Mine Planning, Systems Engineering→Mine Planning

Q59

MCQ[2 Marks]

Match the semi-variogram shape with the model name and the property

(A)

P->III->E, Q->II->F, R->IV->E, S->I->G

(B)

P->II->F, Q->I->G, R->III->E, S->IV->E

(C)

P->IV->G, Q->III->F, R->II->E, S->I->E

(D)

P->II->E, Q->I->E, R->III->F, S->IV->G

Explanation

GATE→2022→Mineral Economics, Mine Planning, Systems Engineering→Systems Engineering

Q60

MCQ[2 Marks]

A coal mining company examines the option of buying two types of dumpers with the following details... In order to minimize the operating cost, the optimum fleet of dumpers of Type-1 and Type-2, respectively are

(A)

20, 15

(B)

0, 30

(C)

0, 31

(D)

40, 0

Explanation

GATE→2022→Mineral Economics, Mine Planning, Systems Engineering→Systems Engineering

Q61

NAT[2 Marks]

In a surface mine bench, overburden is removed by the shovel-dumper combination. For the dumper: Time at loading station = 3.0 min, unloading station = 1.0 min, distance = 4.5 km, loaded speed = 12 km/hr, empty speed = 18 km/hr. Minimum number of dumpers required to avoid idle time of the shovel, is

Explanation

GATE→2022→Mineral Economics, Mine Planning, Systems Engineering→Mineral Economics

Q62

NAT[2 Marks]

The net present values (NPV) of two mining project proposals A and B are as given. $NPV_{A}=-0.01i^{2}-0.02i+4.44$, $NPV_{B}=-0.03i^{2}-0.01i+6.55$ where, $i$ is discount rate. The required rate of return for which both the proposals have equal possibility of acceptance and rejection, is

Explanation

GATE→2022→Mineral Economics, Mine Planning, Systems Engineering→Mine Planning

Q63

NAT[2 Marks]

A coal seam of uniform thickness 12 m is dipping at an angle $30^{\circ}$ as shown in the figure. The ultimate pit is demarcated based on allowable instantaneous stripping ratio of $10\text{ m}^{3}/\text{tonne}$ and safe slope angle of $45^{\circ}$. The density of coal is $1.41\text{ tonne}/\text{m}^{3}$. The length, L in m is

Explanation

GATE→2022→Mineral Economics, Mine Planning, Systems Engineering→Mine Planning

Q64

NAT[2 Marks]

A mine has a reserve of 150 million tonne (Mt) and is designed for a maximum production capacity of 5 Mt per year. In the first year the production is 2 Mt and it increases by 20% each year. The reserve in Mt that remains at the end of 15 years is

Explanation

GATE→2022→Mineral Economics, Mine Planning, Systems Engineering→Systems Engineering

Q65

NAT[2 Marks]

Information on Activity-Time duration of a project is provided below... The expected project duration in weeks, is

Explanation