GATE Sample Paper for Mining Engineering

Sample Paper aglase .co

MN: Mining Engineering

Q.No. 1 Shear strength of rock joint is NOT dependent on

(A) applied normal stress

(B) applied shear stress

(C) friction angle of the joint plane

(D) cohesion of the joint plane

Answer: (B)

Q.No. 2 The correct sequence of attachments between the winding rope and the cage in a drum winding system is

(A) Triangular plate → Rope capel → Bull chain → Detaching hook → Cage chain

(B) Rope capel → Bull chain → Triangular plate → Detaching hook → Cage chain

(C) Detaching hook → Rope capel → Bull chain → Cage chain → Triangular plate

(D) Rope capel → Detaching hook → Bull chain → Triangular plate → Cage chain

Q.No. 3 Let σ and σ are major and minor principal stresses respectively. The equation σ = f σ denotes the failure envelop of a
1 3 1 3

rock as shown in the figure. Match the zones (P, Q, R and S) with the legend code.

(A) P-1, Q-2, R-4, S-3

(B) P-3, Q-1, R-4, S-2

(C) P-3, Q-1, R-2, S-4

(D) P-1, Q-4, R-3, S-2

Answer: (B)

Q.No. 4 Semi-variogram modeling is used for reserve estimation of mineral deposit by

(A) polygonal method

(B) distance weighting method

(C) geostatistical method

(D) nearest neighbor method

Q.No. 5 Match the following based on the equipment usage in a comminution circuit:

(A) P-1, Q-4, R-2, S-3

(B) P-1, Q-2, R-3, S-4

(C) P-4, Q-1, R-2, S-3

(D) P-3, Q-1, R-4, S-2

Q.No. 6 The functions of automatic contrivances in a winding system are to prevent

(A) over-speeding and over-winding

(B) slow banking and load balancing

(C) over loading and load balancing

(D) over-speeding and load balancing

Q.No. 7 For a regionalized variable Z (x ) , at a lag distance h, the empirical semi-variogram 𝛾(h) is given by

(A) E[Z(x) - Z(x+h)]²

(B) ½ E[Z(x) - Z(x+h)]²

(C) ½ E[{Z(x)- E(Z(x)} x {Z(x+h) - E(Z(x+h))}]

(D) E[{Z(x)- E(Z(x)} x {Z(x+h) - E(Z(x+h))}]

Answer: (B)

Q.No. 8 Match the following for coal mining operation:

(A) P-C-1, Q-D-3, R-A-2, S-B-4

(B) P-C-1, Q-A-3, R-B-4, S-D-2

(C) P-C-1, Q-A-4, R-B-3, S-D-2

(D) P-B-3, Q-C-2, R-A-1, S-D-4

Answer: (B)

Q.No. 9 Minerals A and B are produced from a deposit. Minerals A and B will be called coproducts if

(A) economics of mining depends upon the extraction of either mineral A or B

(B) economics of mining depends upon the extraction of both the minerals A and B

(C) mineral B is produced economically and mineral A is an additional benefit

(D) minerals A and B are produced in equal quantity

Answer: (B)

Q.No. 10 The strength of a stranded wire rope is proportional to

(A) the diameter of the rope

(B) square of the diameter of the rope

(C) square root of the diameter of the rope

(D) inverse of the diameter of the rope

Answer: (B)

Q.No. 11 The temperature profiles and the plume patterns that are most likely to result are given in the figures. The dotted line
represents ‘adiabatic lapse rate’ and the bold line represents ‘environmental lapse rate’. The WRONG combination is

(A)

(B)

(C)

(D)

Q.No. 12 From an elevated point A, when a stone is thrown vertically, it attains an upward velocity of v at a height of h from the
point A. While falling, its downward velocity becomes 2v at a distance h below the point A. The maximum height attained by the
stone from point A is

(A) 5h/3

(B) 4h/3

(C) 6h/7

(D) 2h

Q.No. 13 If the figures A and B represent contour plots in a terrain, then the correct statement is

(A) Fig. A shows ridge and Fig. B shows valley

(B) Fig. A shows anticline and Fig. B shows syncline

(C) Fig. A shows syncline and Fig. B shows anticline

(D) Fig. A shows valley and Fig. B shows ridge.

Q.No. 14 A blasted muck of mass m is being lifted from a shaft of diameter d by an arrangement of two pulleys as shown in the

figure. Ignoring friction in the pulleys, as the height h decreases, tension in the ropes

(A) increases

(B) decreases

(C) remains constant

(D) increases until h > d, then decreases

Q.No. 15 The beam shown in the figure is hinged at one end and rested on a roller at the other end. The free body diagram of the

system is

(A)

(B)

(C)

(D)

Q.No. 16 The net annual cash flows for two small scale mining projects A and B are given below. The correct decision assuming

10% discount rate as per NPV criterion is Annual Cash flow (in Rs. Crore)

(A) Project A is accepted but project B is rejected

(B) Projects A and B both are rejected

(C) Project A is rejected but project B is accepted

(D) Projects A and B are both accepted but project A is better than project B

Q.No. 17 In project planning, the activity durations are calculated by PERT and CPM techniques assuming

(A) PERT: probabilistic, CPM: deterministic

(B) PERT: probabilistic, CPM: probabilistic

(C) PERT: deterministic,CPM: probabilistic

(D) PERT: deterministic, CPM: deterministic

Q.No. 18 Components of a 2-D stress tensor in Cartesian coordinate are σ = 0MPa, σ = −10.0MPa , and τ
xx yy xy = 2.0MPa .
The traction vector (T→) in MPa acting on a plane having outward normal n
^ = i −
√3

2
j is
1

2

(A) T→ = 3.33i − 6.73j

(B) T→ = 3.33i + 6.73j

(C) T→ = 1.73i − 6.73j

(D) T→ = 1.73i + 6.73j

Answer: (B)

Q.No. 19 Match the following blasting elements with the corresponding initiators. Blasting Elements Initiators P Electric
detonator 1 Match stick Q Safety fuse 2 Booster R Detonating fuse 3 Exploder S Non cap-sensitive explosive 4 Ordinary
detonator

(A) P-2, Q-3, R-4, S-1

(B) P-3, Q-1, R-4, S-2

(C) P-3, Q-1, R-2, S-4

(D) P-1, Q-4, R-2, S-3

Answer: (B)

Q.No. 20 Exposure of weak roof in junctions of a development district in a coal mine can be decreased by

(A) increasing dimension of panel barrier

(B) stitching side walls

(C) increasing support density at junctions

(D) staggering the junctions

Q.No. 21 Match the following features with the mining methods:

(A) P-2, Q-4, R-3, S-1

(B) P-4, Q-3, R-2, S-1

(C) P-2, Q-4, R-1, S-3

(D) P-4, Q-3, R-1, S-2

Q.No. 22 The figures shown represent the analysis of gas samples collected from a sealed off area in a coal mine over a period of
time. The best representation of the progressive change of gaseous environment inside the sealed-off area is

(A) Figure P

(B) Figure Q

(C) Figure R

(D) Figure S

Q.No. 23 As per classification of mineral resources “reserve” means

(A) Identified resources

(B) Identified and techno-economically viable resources

(C) Hypothetical resources

(D) Inferred resources

Answer: (B)

2x +1
2 2x −1

Q.No. 24 The value of lim x →∞
(
x

2x
2
+2x −1

−3x −2
)

(A) ½

(B) 3/2

(C) 1

(D) 0

Q.No. 25 If only two members fonn a truss joint and no external load or support reaction is applied to the joint, the members

(A) have infinite force

(B) have equal but opposite force

(C) are zero-force members

(D) have unequal forces

Q.No. 26 If the sample statistic x̄ is an unbiased estimator of the parameter 𝜇 , then

(A) E(𝜇 - x̄ ) = 0

(B) E(𝜇 + x̄ ) = 0

(C) E(𝜇 - x̄ )² = 0

(D) E(𝜇 + x̄ )² = 0

Q.No. 27 A deeply seated ore body dips at 70° having an average width of 60 m. The ore body, hanging wall and footwall are
competent. The suitable stoping method for this ore body is

(A) Post pillar cut and fill

(B) Shrinkage stoping

(C) Transverse sublevel caving

(D) Transverse sublevel open stoping

Q.No. 28 If f( x) is a polynomial function that passes through origin, and g (x )f′ ( x) , then

(A) g (a )=f ( a)

(B) g’ (a )=f′ ( a)
a
(C) ∫0
g(x )dx = f (a)

a
(D) ∫ 0
f (x )dx = g(a)

Q.No. 29 A low-grade deep-seated ore body dipping at 70° has a strike length of 2 km, and width of 100 m. The ore body and
wall rocks are weak and fractured. The preferred method of mining is

(A) shrinkage stoping

(B) cut-and-fill stoping

(C) block caving

(D) room and pillar stoping

Q.No. 30 A flat longwall panel is mined out at an area having subsidence factor a. The measured maximum subsidence on the
surface is S for a mining height of m. The subsidence is subcritical if

(A) S =am

(B) S=m/ a

(C) S >am

(D) S< am

Q.No. 31 The figure depicts a transportation problem along with the solution. The correct statement is

(A) unbalanced problem, optimal solution

(B) unbalanced problem, sub-optimal solution

(C) balanced problem, optimal solution

(D) balanced problem, sub-optimal solution

Q.No. 32 In the context of mine planning, match the following:

(A) P-4, Q-3, R-2, S-1

(B) P-1, Q-2, R-3, S-4

(C) P-1, Q-4, R-2, S-3

(D) P-3, Q-2, R-4, S-1

Q.No. 33 Stone dust barriers in underground coal mines are used to arrest

(A) black damp explosions

(B) air blast

(C) firedamp explosions

(D) coal dust explosions

Q.No. 34 A panel in coal mine produces 400 tonne per day. The number of persons employed in each of the three shifts is 110,
130 and 120. As per CMR, the minimum quantity of air that needs to be circulated at the last ventilation connection of the panel

in m³/min is

(A) 780

(B) 900

(C) 1000

(D) 2400

Q.No. 35 From a coal seam of a mine 1000 tonnes of coal is produced per day. The seam has inflammable gas emission rate of
14000 m³ per day. Percentage of inflammable gas in general body of air is 0.14. The gassiness of the seam is

(A) Degree IV

(B) Degree III

(C) Degree II

(D) Degree I

Answer: (B)

0 2β γ
⎛ ⎞

Q.No. 36 Matrix A = α β −γ is orthogonal. The values of , α, βand 𝛾 respectively are
⎝ ⎠
α −β γ

(A) ±1/√3, ±1/√2, ±1/√6

(B) ±1/√3, ±1/√6, ±1/√2

(C) ±1/√6, ±1/√3, ±1/√2

(D) ±1/√2, ±1/√6, ±1/√3

Q.No. 37 Tri-cone drill bit is a type of

(A) cross bit

(B) button bit

(C) rotary roller bit

(D) button drag bit

Q.No. 38 The equipment NOT related to extraction of coal from longwall face operation is

(A) AFC

(B) road header

(C) powered support

(D) DERD shearer

Answer: (B)

cos θ sin θ
Q.No. 39 If X = [ ], then X X
T
is
− sin θ cos θ

0 1
(A) [ ]
1 0

−1 0
(B) [ ]
0 −1

1 0
(C) [ ]
0 1

0 −1
(D) [ ]
−1 0

Q.No. 40 The following plot is developed for a rock type after a series of triaxial tests. The uniaxial compressive strength and
tensile strength of the rock type, respectively, in MPa, are

Correct:

(A) 30, 5

(B) 30, 6

(C) 24, 6

(D) 24, 5

Q.No. 41 Lane 's algorithm is applied to determine

(A) mill cut-off grade

(B) mine production rate

(C) operating cost

(D) ultimate pit

Q.No. 42 Ward-Leonard system is provided in the winding system in order to restrict

(A) over-winding of the cage

(B) deceleration of the cage

(C) acceleration of the cage

(D) over-speeding of the cage

Q.No. 43 The inventory pattern shown does NOT represent the following.

(A) Inventory is replenished instantaneously

(B) Demand decreases with time

(C) Shortage is not permitted

(D) Demand is uniform

Answer: (B)

Q.No. 44 Which one of the following plots represents the relationship xy — c, where c is a positive constant

(A) I

(B) II

(C) III

(D) IV

Q.No. 45 The purpose of rotating a whirling hygrometer in hygrometric survey is to

(A) wet the cotton wick with water thoroughly

(B) maintain constant temperature of water in the container

(C) create steady state evaporation of moisture from the wet bulb surface

(D) prevent the heat produced by the cap lamp of the observer from affecting the readings

Q.No. 46 The vector sum of all the external forces acting on a rigid body is expressed as ΣF and the vector sum of moments of the
external forces about a point is given as ΣM . The rigid body is in equilibrium if

(A) ΣF - ΣM = 0

(B) ΣF + ΣM =0

(C) ΣF and ΣM= 0

(D) ΣF≠0 and ΣM ≠0

Q.No. 47 A multi-point borehole extensometer is used to monitor

(A) convergence between the roof and the floor

(B) strain between fixed points along a borehole

Q.No. 48 The values of x satisfying the following condition are

(A) 6, 4

(B) 4, 9

(C) 5, 6

(D) 3,7

∣
(C) strain between the anchor point and the reference point on the surface

(D) changing distances benveen fixed points along a borehole

4 − x

√3
√3

6 − x
= 0

Q.No. 49 The correct figure depicting the extraction of contiguous seams in bord and pillar working is indicated by

(A)

(B)

(C)

(D)

Q.No. 50 The PV diagram of four explosives is given below. The preferred explosive for adequate fragmentation in hard and

brittle rock is

(A) Explosive A

(B) Explosive B

(C) Explosive C

(D) Explosive D

Q.No. 51 The "yellow boy" formed due to acid mine drainage mainly consists of

(A) Ferrous hydroxide

(B) Ferrous sulfate

(C) Ferric hydroxide

(D) Ferric sulfate

Q.No. 52 An azimuth of 330° corresponds to a quadrant bearing of

(A) W60°N

(B) N30°W

(C) S30°W

(D) S30°E

Answer: (B)

Q.No. 53 The position vector of a moving particle is given by r→(t) = t i + tj + t k . The acceleration of the particle in the
3 2

direction of the motion is

(A) 0

(B) 60i + 2k

(C) 60i + 2k

(D) 6ti + 2k

Q.No. 54 If the rank of the following matrix is less than 3, the values of x are A =

(A) 1, -1/2

(B) 1, 1/2

(C) 2, -1/4

(D) 2, -3/4

⎢⎥
⎡

⎣
1

x

x
x

1

x
x

x

1
⎤

⎦

Q.No. 55 The property that CANNOT be determined from uniaxial compressive strength test of a rock sample fitted with strain
gauges is

(A) cohesion

(B) Poisson’s ratio

(C) modulus of elasticity

(D) dilation