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Type:ALLMCQNATMSQ

General Aptitude(10)Engineering Mathematics(8)Mining Geology, Mine Development and Surveying(6)Geomechanics and Ground Control(10)Mining Methods and Machinery(9)Surface Environment, Mine Ventilation and Underground Hazards(11)Mineral Economics, Mine Planning, Systems Engineering(11)

General Aptitude

10 Questions

GATE→2024→General Aptitude→Verbal Ability

Q1

MCQ[1 Mark]

If '->' denotes increasing order of intensity, then the meaning of the words [drizzle -> rain -> downpour] is analogous to [ -> quarrel -> feud]. Which one of the given options is appropriate to fill the blank?

(A)

bicker

(B)

bog

(C)

dither

(D)

dodge

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q2

MCQ[1 Mark]

Statements: 1. All heroes are winners. 2. All winners are lucky people. Inferences: I. All lucky people are heroes. II. Some lucky people are heroes. III. Some winners are heroes. Which of the above inferences can be logically deduced from statements 1 and 2?

(A)

Only I and II

(B)

Only II and III

(C)

Only I and III

(D)

Only III

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q3

MCQ[1 Mark]

A student was supposed to multiply a positive real number $p$ with another positive real number $q$. Instead, the student divided $p$ by $q$. If the percentage error in the student's answer is 80%, the value of $q$ is

(A)

5

(B)

\sqrt{2}

(C)

2

(D)

\sqrt{5}

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q4

MCQ[1 Mark]

If the sum of the first 20 consecutive positive odd numbers is divided by $20^{2}$, the result is

(A)

1

(B)

20

(C)

2

(D)

1/2

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q5

MCQ[1 Mark]

The ratio of the number of girls to boys in class VIII is the same as the ratio of the number of boys to girls in class IX. The total number of students (boys and girls) in classes VIII and IX is 450 and 360, respectively. If the number of girls in classes VIII and IX is the same, then the number of girls in each class is

(A)

150

(B)

200

(C)

250

(D)

175

Explanation

GATE→2024→General Aptitude→Verbal Ability

Q6

MCQ[2 Marks]

In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks. Yoko Roi stands (i) as an author for standing (ii) as an honorary fellow, after she stood (iii) her writings that stand (iv) the freedom of speech.

(A)

(i) out, (ii) down, (iii) in, (iv) for

(B)

(i) down, (ii) out, (iii) by, (iv) in

(C)

(i) down, (ii) out, (iii) for, (iv) in

(D)

(i) out, (ii) down, (iii) by, (iv) for

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q7

MCQ[2 Marks]

Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container... The ratio of the occupied space to the empty space of the container is

(A)

5/2

(B)

7/2

(C)

9/2

(D)

3

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q8

MCQ[2 Marks]

The plot below shows the relationship between the mortality risk of cardiovascular disease and the number of steps a person walks per day. Based on the data, which one of the following options is true?

(A)

The risk reduction on increasing steps/day from 0 to 10000 is less than from 10000 to 20000.

(B)

The risk reduction on increasing steps/day from 0 to 5000 is less than from 15000 to 20000.

(C)

For any 5000 increment in steps/day the largest risk reduction occurs on going from 0 to 5000.

(D)

For any 5000 increment in steps/day the largest risk reduction occurs on going from 15000 to 20000.

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q9

MCQ[2 Marks]

Five cubes of identical size and another smaller cube are assembled as shown in Figure A. If viewed from direction X, the planar image of the assembly appears as Figure B. If viewed from direction Y, the planar image of the assembly (Figure A) will appear as

(A)

A

(B)

B

(C)

C

(D)

D

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q10

MCQ[2 Marks]

Visualize a cube that is held with one of the four body diagonals aligned to the vertical axis. Rotate the cube about this axis such that its view remains unchanged. The magnitude of the minimum angle of rotation is

(A)

120^{\circ}

(B)

60^{\circ}

(C)

90^{\circ}

(D)

180^{\circ}

Explanation

Engineering Mathematics

8 Questions

GATE→2024→Engineering Mathematics→Calculus

Q11

MCQ[1 Mark]

The value of integral, $I=\int_{0}^{\pi/4}\cos x \sin^3 x dx$ is

(A)

\frac{1}{64}

(B)

\frac{1}{16}

(C)

\frac{1}{4}

(D)

1

Explanation

GATE→2024→Engineering Mathematics→Calculus

Q12

MCQ[1 Mark]

The value of $\lim_{x\to 0}(\frac{n \sin 5x}{\sin 3x})$ is

(A)

2n

(B)

3n/5

(C)

6n/5

(D)

5n/3

Explanation

GATE→2024→Engineering Mathematics→Vector Calculus

Q13

MCQ[1 Mark]

The magnitude of the curl of the vector $\vec{F} = 2x\hat{i} + 3y\hat{j} + 4z\hat{k}$, is

(A)

0

(B)

4

(C)

9

(D)

24

Explanation

GATE→2024→Engineering Mathematics→Linear Algebra

Q14

MCQ[2 Marks]

Matrix $A = \begin{bmatrix} 1 & 4 & 3 \\ 5 & 2 & 1 \\ 6 & 4 & 3 \end{bmatrix}$ and $B = A - A^{T}$, then $B$ is

(A)

symmetric.

(B)

skew symmetric.

(C)

diagonal.

(D)

scalar.

Explanation

GATE→2024→Engineering Mathematics→Numerical Methods

Q15

MCQ[2 Marks]

Magnitude of error in the determination of the integral, $I$ using Simpson's $1/3$ rule, taking step length as 1.0 is $I=\int_{1}^{3}(x^{3}+6)dx$

(A)

0

(B)

1.0

(C)

1.5

(D)

2.0

Explanation

GATE→2024→Engineering Mathematics→Vector Calculus

Q16

MCQ[2 Marks]

Vectors $\mathbf{a}=2\mathbf{i}+3\mathbf{j}-4\mathbf{k}$ and $\mathbf{b}=4\mathbf{i}+2\mathbf{j}+3\mathbf{k}$ represent the two adjacent sides of a triangle. The magnitude of the area of the triangle and the unit vector perpendicular to both $\mathbf{a}$ and $\mathbf{b}$ respectively, are

(A)

28.93 and 0.58i - 0.76j - 0.27k

(B)

28.93 and 17.0i - 22.0j - 8.0k

(C)

14.46 and 0.58i - 0.76j - 0.27k

(D)

14.46 and 17.0i - 22.0j - 8.0k

Explanation

GATE→2024→Engineering Mathematics→Probability and Statistics

Q17

NAT[2 Marks]

A thermal power plant has an agreement with three mines M1, M2 and M3 to receive 'Grade 1' coal, in the proportion of 60%, 25% and 15%, respectively. The probabilities that a wagon supplied coal to the plant containing below 'Grade 1' from mines M1, M2 and M3 are 0.02, 0.03 and 0.04, respectively. On a random check, a sample wagon is found to carry below 'Grade 1' coal. The probability that the wagon belongs to mine M1, is

Explanation

GATE→2024→Engineering Mathematics→Numerical Methods

Q18

NAT[2 Marks]

The root of the function, $f(x)=x^{3}-2x^{2}+3x-1$ in the interval [0, 1] using bisection method after two iterations, is

Explanation

Mining Geology, Mine Development and Surveying

6 Questions

GATE→2024→Mining Geology, Mine Development and Surveying→Mine Surveying

Q19

MCQ[1 Mark]

Match the following features with the corresponding symbols in mine plan

(A)

P->1; Q->3; R->4; S->2

(B)

P->4; Q->2; R->1; S->3

(C)

P->2; Q->4; R->3; S->1

(D)

P->4; Q->3; R->2; S->1

Explanation

GATE→2024→Mining Geology, Mine Development and Surveying→Mine Development

Q20

NAT[1 Mark]

An explosive with a density of $1.2\text{ g/cm}^{3}$ has a heat of explosion equal to $900\text{ cal/g}$. If the heat of explosion of ANFO with density of $0.8\text{ g/cm}^{3}$ is $950\text{ cal/g}$ the bulk strength of the explosive relative to ANFO is

Explanation

GATE→2024→Mining Geology, Mine Development and Surveying→Mine Development

Q21

NAT[1 Mark]

In a VCR stope, blast holes of 165 mm diameter are drilled. For the blast hole to behave as a spherical charge, the maximum charge length, in m, is

Explanation

GATE→2024→Mining Geology, Mine Development and Surveying→Mine Development

Q22

NAT[1 Mark]

A rectangular development heading of dimension $3\text{ m}\times2.8$ m is to be blasted with holes of 2.4 m in length. If the pull factor is 0.95 and swell factor is 1.20, the volume of blasted rock per round, in $\text{m}^{3}$, is

Explanation

GATE→2024→Mining Geology, Mine Development and Surveying→Mine Surveying

Q23

MCQ[2 Marks]

In a closed traverse, ABC, bearings and lengths given. The missing quantities are...

(A)

A

(B)

B

(C)

C

(D)

D

Explanation

GATE→2024→Mining Geology, Mine Development and Surveying→Mine Surveying

Q24

NAT[2 Marks]

In a tacheometry survey, the readings observed are given... The length of the line AB in m, is

Explanation

Geomechanics and Ground Control

10 Questions

GATE→2024→Geomechanics and Ground Control→Geomechanics

Q25

MCQ[1 Mark]

Principal stresses for a rock element have a relation $\sigma_3 = -\frac{1}{2}\sigma_1$. The maximum shear stress is expressed by

(A)

\frac{1}{3}\sigma_{1}

(B)

\frac{3}{4}\sigma_{1}

(C)

\frac{1}{2}\sigma_{1}

(D)

\frac{1}{4}\sigma_{1}

Explanation

GATE→2024→Geomechanics and Ground Control→Geomechanics

Q26

NAT[1 Mark]

The void ratio of an unconsolidated soil heap of volume $1000\text{ m}^{3}$ is 1.0. If the soil heap is consolidated to a volume of $800\text{ m}^{3}$, the corresponding void ratio is

Explanation

GATE→2024→Geomechanics and Ground Control→Geomechanics

Q27

NAT[1 Mark]

A scanline survey between points A and B of a rock mass is shown. Consider $RQD=100\times(0.1\lambda+1)\times exp(-0.1\lambda)$, where $\lambda$ is the frequency of discontinuity per m. The RQD of the rock mass is

Explanation

GATE→2024→Geomechanics and Ground Control→Ground Control

Q28

MCQ[2 Marks]

The roof convergence data for 30 days at a monitoring station in a coal mine gallery is given. TARP is enforced if Premise 1 (rate exceeds 1.5 mm/day between consecutive measurements) and Premise 2 (cumulative rate exceeds 1.0 mm/day) occur simultaneously. Identify the day on which TARP is enforced.

(A)

10

(B)

16

(C)

22

(D)

30

Explanation

GATE→2024→Geomechanics and Ground Control→Ground Control

Q29

NAT[2 Marks]

A Bord and Pillar panel is developed at depth of 250 m in a flat coal seam. The vertical stress gradient is $0.027\text{ MPa/m}$. If the strength of a square pillar is 12.5 MPa, the extraction ratio of the pillar for a safety factor of 1.5, is

Explanation

GATE→2024→Geomechanics and Ground Control→Geomechanics

Q30

NAT[2 Marks]

A Mohr-Coulomb envelop between shear stress, $\tau$ and normal stress, $\sigma_{n}$ of a sandstone rock is given as $\tau=7.5+0.84~\sigma_{n}$ (unit of stresses is MPa). A sandstone sample is tested in triaxial mode with confining pressure of 5.0 MPa. The value of the shear stress, $\tau$ in MPa at the failure, is

Explanation

GATE→2024→Geomechanics and Ground Control→Geomechanics

Q31

NAT[2 Marks]

A circular tunnel is constructed at a depth of 100 m. The average unit weight of overburden rock is $27.0\text{ kN/m}^{3}$. If the tangential stress measured at point A located at the horizontal boundary of the tunnel as shown, is 5.0 MPa, the tangential stress at point B in MPa, is

Explanation

GATE→2024→Geomechanics and Ground Control→Engineering Mechanics

Q32

NAT[2 Marks]

A mine worker weighing (W) 600 N lifts an object of 100 N as shown. The 50% body weight is applied downward through point A and a force $F_{E}$ is produced parallel to x axis by the contraction of erector spinae muscle during lifting. The lumber disc, L acts as a smooth hinge and keeps the upper body in static equilibrium. The magnitude of the resultant of the reaction forces, in N at the lumber disc, is

Explanation

GATE→2024→Geomechanics and Ground Control→Engineering Mechanics

Q33

NAT[2 Marks]

A solid ball of mass 10 kg is subjected to forces as shown. The magnitude of the acceleration in $\text{m/s}^{2}$, is

Explanation

GATE→2024→Geomechanics and Ground Control→Ground Control

Q34

NAT[2 Marks]

In an opencast coal mine, blast vibrations are measured at two locations, A and B simultaneously for a maximum charge per delay (Q) of 1200 kg as given. Location A: 100 m, 112.5 mm/s; Location B: 300 m, 20.3 mm/s. Assume $PPV=K[\frac{D}{\sqrt{Q}}]^{-\beta}$. The PPV in mm/s, at a distance of 200 m from the blast face, is

Explanation

Mining Methods and Machinery

9 Questions

GATE→2024→Mining Methods and Machinery→Mining Machinery

Q35

MCQ[1 Mark]

For a geared engine winding system, the man winding cage is placed at its normal position at pit top of the shaft. As per CMR 2017, the minimum space, in m, between the center of the hole of the detaching hook attached to the rope shackle and detaching belt plate is

(A)

3.6

(B)

2.4

(C)

1.8

(D)

1

Explanation

GATE→2024→Mining Methods and Machinery→Mining Methods

Q36

NAT[1 Mark]

For a circular path of radius 300 m, the super elevation is restricted to 0.1 m for a width of 1.6 m. The maximum speed, in $\text{m/s}$ of vehicle to avoid overturn is

Explanation

GATE→2024→Mining Methods and Machinery→Mining Methods

Q37

MCQ[2 Marks]

Match the method of mining with orebody geometry, orebody strength and type of supports.

(A)

P->L->Y->3; Q->N->Z->1; R->M->X->2

(B)

P->M->Y->2; Q->N->Z->1; R->L->X->3

(C)

P->L->Y->2; Q->M->Z->3; R->N->X->1

(D)

P->M->Y->1; Q->L->Z->3; R->N->X->2

Explanation

GATE→2024→Mining Methods and Machinery→Mining Machinery

Q38

NAT[2 Marks]

Water is pumped from a mine sump at the rate of $300\text{ m}^{3}/\text{hr}$ to an inverted conical water tank, as shown. The rate of rise in water level in m/min at the instant water level reaches at 5 m height from bottom of the tank, is

Explanation

GATE→2024→Mining Methods and Machinery→Mining Machinery

Q39

NAT[2 Marks]

Data for a centrifugal pump discharging water from a sump to the surface are given. Head = 180 m, Discharge = $320\text{ m}^{3}/\text{hr}$, operating 14 hrs/day for 270 days and 20 hrs/day for remaining 95 days, overall efficiency = 0.70, specific weight = $10.20\text{ kN/m}^{3}$. The annual electrical power consumption in GWh, due to pumping operation, is

Explanation

GATE→2024→Mining Methods and Machinery→Mining Methods

Q40

NAT[2 Marks]

A longitudinal section of a mined out stope block in a copper mine is shown by the shaded portion. For a uniform thickness of the stope block, the percentage of ore recovery, is

Explanation

GATE→2024→Mining Methods and Machinery→Mining Machinery

Q41

NAT[2 Marks]

A 35.0 kW motor transmits power to a pulley of 600 mm diameter, which rotates at 400 rpm to drive a flat belt. The tension in the tight side is 2.5 times of the slack side. Neglect all transmission losses. If the maximum allowable tension is 8.0 N per mm of belt width, then the minimum width of the belt in mm, is

Explanation

GATE→2024→Mining Methods and Machinery→Mining Machinery

Q42

NAT[2 Marks]

A 1.2 m diameter drum winding system is shown. One of the winding ropes will be replaced for the manwinding cage... Neglecting fleet angle, the minimum length, in m, of new winding rope is

Explanation

GATE→2024→Mining Methods and Machinery→Mining Machinery

Q43

NAT[2 Marks]

For a continuous miner (CM) panel, the following data are given... The non-working time in min, in working hours per shuttle car to dispatch all coal cut by the CM, is

Explanation

Surface Environment, Mine Ventilation and Underground Hazards

11 Questions

GATE→2024→Surface Environment, Mine Ventilation and Underground Hazards→Underground Hazards

Q44

MCQ[1 Mark]

Exposure to loud impulsive noise may lead to

(A)

Nystagmus

(B)

Siderosis

(C)

Tinnitus

(D)

Stannosis

Explanation

GATE→2024→Surface Environment, Mine Ventilation and Underground Hazards→Underground Hazards

Q45

MCQ[1 Mark]

In a self-contained closed-circuit breathing apparatus,

(A)

the exhaled air is released outside the apparatus.

(B)

the exhaled air is wholly absorbed within the apparatus.

(C)

CO_2 is released outside the apparatus after separating from exhaled air.

(D)

CO_2 from exhaled air is absorbed with a chemical.

Explanation

GATE→2024→Surface Environment, Mine Ventilation and Underground Hazards→Mine Ventilation

Q46

MCQ[1 Mark]

A rectangular mine airway of 2.0 m width and 2.5 m height has a bend with deflection of $\pi/4$ radian. If the radius of curvature of the bend is 4.0 m, the shock factor of the bend is

(A)

0.014

(B)

0.024

(C)

0.051

(D)

0.071

Explanation

GATE→2024→Surface Environment, Mine Ventilation and Underground Hazards→Underground Hazards

Q47

MCQ[1 Mark]

In an underground coal mine, two fatalities and three serious bodily injuries occurred during the year 2022. The average daily employment is 1100 and annual working days is 300. The severity index as per DGMS guideline for the mine is

(A)

12.32

(B)

25.58

(C)

31.21

(D)

34.63

Explanation

GATE→2024→Surface Environment, Mine Ventilation and Underground Hazards→Surface Environment

Q48

NAT[1 Mark]

A coal washery discharges $300\text{ m}^{3}/\text{day}$ of contaminated water in a stream having a flow rate of $0.04\text{ m}^{3}/\text{s}$. The DO level of the stream and the contaminated water are $8.5\text{ mg/L}$ and $4.1\text{ mg/L}$, respectively. Neglecting temperature impact, the resultant DO, in mg/L of the stream just after mixing is

Explanation

GATE→2024→Surface Environment, Mine Ventilation and Underground Hazards→Surface Environment

Q49

NAT[1 Mark]

The combined sound pressure level measured at a point in a production bench due to one dumper and one shovel is 95 dB(A). If the sound pressure level of shovel alone is 90 dB(A), the sound pressure level of the dumper alone, in dB(A), is

Explanation

GATE→2024→Surface Environment, Mine Ventilation and Underground Hazards→Mine Ventilation

Q50

MCQ[2 Marks]

Four identical districts of a mine are ventilated with a quantity of $3500\text{ m}^{3}/\text{min}$ at a fan drift pressure of 1.15 kPa. When one of the districts is sealed off, the change in resultant resistance is $0.072\text{ Ns}^{2}\text{m}^{-8}$. If the fan is stopped, keeping a district sealed, the quantity through the mine becomes $850\text{ m}^{3}/\text{min}$. The natural ventilation pressure in Pa, is

(A)

72.12

(B)

82.28

(C)

105.56

(D)

144.56

Explanation

GATE→2024→Surface Environment, Mine Ventilation and Underground Hazards→Surface Environment

Q51

NAT[2 Marks]

Polluted air with particulate matters of diameter $50\,\mu\text{m}$ enter with a horizontal velocity of $1.0\text{ m/s}$ at a height of 0.5 m from the bottom of a dry settling chamber. The density of the particle is $2000\text{ kg/m}^{3}$ and dynamic viscosity of the air is $1.8\times 10^{-5}\text{ kg/m-s}$. Assuming streamline flow and Stoke's law, the minimum length in m, of the chamber required for settling of the particle at its bottom, is

Explanation

GATE→2024→Surface Environment, Mine Ventilation and Underground Hazards→Underground Hazards

Q52

NAT[2 Marks]

The data obtained from an air sample analysis of an old working in a coal mine are given. $O_{2}$ 17.15%, $CO_{2}$ 3.40%, $CH_{4}$ 2.20%, and $N_{2}$ 77.25%. Considering atmospheric air contains $O_{2}$ 20.95%, $CO_{2}$ 0.03%, and $N_{2}$ 79.02%, the percentage of blackdamp in the old working, is

Explanation

GATE→2024→Surface Environment, Mine Ventilation and Underground Hazards→Mine Ventilation

Q53

NAT[2 Marks]

A rectangular face of $2.0\text{ m}\times2.5$ m dimension is blasted with 20 kg explosive in a 1000 m long drive. One kilogram of explosive produces $2200\text{ cm}^{3}$ of nitrous fumes. The face is ventilated with a duct, located 10.0 m away from the face, to dilute the fumes. The quantity of air, in $\text{m}^{3}/\text{s}$ to be circulated for reducing the concentration of nitrous fumes to 5 ppm within a period of 5 minutes, is

Explanation

GATE→2024→Surface Environment, Mine Ventilation and Underground Hazards→Underground Hazards

Q54

NAT[2 Marks]

In a development coal face, 12 holes are drilled and charged with explosive. Holes are initiated with electric delay detonators connected in series. The length of a detonator lead wire is 1.5 m. The length of the blasting cable is 120 m. Resistance of each detonator = $1.48\;\Omega$, lead wire = $0.04\;\Omega/\text{m}$, blasting cable one wire = $0.009\;\Omega/\text{m}$. The total resistance of the circuit in $\Omega$, is

Explanation

Mineral Economics, Mine Planning, Systems Engineering

11 Questions

GATE→2024→Mineral Economics, Mine Planning, Systems Engineering→Mine Planning

Q55

MCQ[1 Mark]

Match the semi-variogram model equation with its property.

(A)

A

(B)

B

(C)

C

(D)

D

Explanation

GATE→2024→Mineral Economics, Mine Planning, Systems Engineering→Systems Engineering

Q56

MCQ[1 Mark]

In an M/M/1 system, the inter-arrival time of dumpers to a shovel follows exponential distribution with a mean arrival rate of 9 dumpers per hour. The service rate of the shovel follows exponential distribution with a mean service rate of 12 dumpers per hour. The probability that exactly one dumper is available to the shovel is

(A)

1/16

(B)

3/16

(C)

3/4

(D)

1/4

Explanation

GATE→2024→Mineral Economics, Mine Planning, Systems Engineering→Systems Engineering

Q57

MCQ[2 Marks]

A project network with the sequence of five activities is shown. The crashing costs of activities are given. If the project is crashed by one week, the increase in project cost, in lakh INR, is

(A)

2.0

(B)

2.5

(C)

3.0

(D)

4.0

Explanation

GATE→2024→Mineral Economics, Mine Planning, Systems Engineering→Mineral Economics

Q58

MCQ[1 Mark]

The ore that is NOT used for commercial extraction of metal is

(A)

Wolframite.

(B)

Dolomite.

(C)

Cassiterite.

(D)

Uraninite.

Explanation

GATE→2024→Mineral Economics, Mine Planning, Systems Engineering→Mineral Economics

Q59

MCQ[1 Mark]

The function of District Mineral Foundation established by state governments in India, is to

(A)

look after safety aspects of mining operations.

(B)

approve mining plan.

(C)

act as an environmental regulatory body.

(D)

monitor welfare of mining affected people.

Explanation

GATE→2024→Mineral Economics, Mine Planning, Systems Engineering→Mine Planning

Q60

MCQ[1 Mark]

The percentage Fe and corresponding net value for an iron ore mine is given below. Assuming net value versus grade curve to be a straight line, and mining cost of waste is INR $1000/m^{3}$ the correct representation of stripping ratio, SR $(m^{3}/tonne)$ versus Fe (%) grade curve is

(A)

SR = -3.250 + 0.125 \times Fe

(B)

SR = 3.250 + 0.125 \times Fe

(C)

SR = 3250 + 125 \times Fe

(D)

SR = -3250 + 125 \times Fe

Explanation

GATE→2024→Mineral Economics, Mine Planning, Systems Engineering→Systems Engineering

Q61

NAT[1 Mark]

A typical 24-hour activity of a mobile crusher plant is shown. The utilization, in %, of the plant, is

Explanation

GATE→2024→Mineral Economics, Mine Planning, Systems Engineering→Mine Planning

Q62

MCQ[2 Marks]

Data from two production faces of an open pit iron ore mine are given. Ores from two different faces are blended and supplied with Fe grade not less than 60%. Based on demand, combined production limited to max 2500 tonne/day. Selling price INR 4500/tonne. Optimal production from two faces in tonne/day for maximizing profit are

(A)

1000.0 and 1500.0

(B)

1333.3 and 1166.7

(C)

1600.0 and 900.0

(D)

500.0 and 2000.0

Explanation

GATE→2024→Mineral Economics, Mine Planning, Systems Engineering→Systems Engineering

Q63

NAT[2 Marks]

A transportation system for carrying ore from stock pile to railway siding through an ore bin is shown. The time between failure of each conveyor belt follows an exponential distribution with mean time between failure of 700 hours. The system is considered to be a 'success' if ore transports from stock pile to siding by any combination of belts. The reliability of the system for 350 hours of continuous successful operation, is

Explanation

GATE→2024→Mineral Economics, Mine Planning, Systems Engineering→Mine Planning

Q64

NAT[2 Marks]

In an open pit mine, the mineral inventory, prices, costs and capacities are given... The mine is operating at 5 million tonne in a year. Considering mining capacity being the only constraint, Lane's algorithm (based on profit maximization) is used for determining mill cut-off grade. The total amount of copper produced in million tonne, in the life of the pit, is

Explanation

GATE→2024→Mineral Economics, Mine Planning, Systems Engineering→Mineral Economics

Q65

NAT[2 Marks]

The real rate of return from a mining project is 14%. If the inflation rate over the entire life of the mine is 5.5%, then the nominal rate of return in %, is

Explanation