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Mining Engineering Gate 2025 Questions with Answer
Ques 53 GATE 2025
In a Brazilian test, the front view of a homogeneous rock sample is shown in the figure. The failure initiates at the point
Ques 54 GATE 2025
Hydraulic fracturing method is used to determine the major principal stress (σ1) in an underground rock strata having tensile strength of 6 MPa. The minor principal stress (σ3) 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 σ1 in MPa, is ______ (rounded off to 2 decimal places)
Ques 55 GATE 2025
The unadjusted RMR of a tunnel roof is 64. A single joint set exists in the roof as shown in the figure.
Ques 56 GATE 2025
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 4.2×10-3 and 2.0×10-3 respectively. The modulus of elasticity, in GPa, and Poisson's ratio of the sample, respectively are closest to
Ques 57 GATE 2025
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. The uniaxial compressive strength (σc), modulus of elasticity (Ec) and Poisson's ratio (ν) of shotcrete material are 20 MPa, 15 GPa and 0.25 respectively. The maximum capacity (pmax) of the lining and its stiffness (k) are given as
pmax = (1/2)σc(1 - (a-t)2/a2)
k = Ec(a2-(a-t)2)/((1+ν)[(1-2ν)a2+(a-t)2])
where a= radius of the unlined tunnel and t= thickness of the lining.
If the lining is constructed after 5 mm radial deformation, the support reaction is best represented by the line
Ques 58 GATE 2025
In a bord and pillar panel, a square pillar of size 35 m×35 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)
Bieniawski's pillar strength formula, Sp=S1(0.64+0.36(w/h)); where, S1= strength of 0.9 m3 of coal block, w= pillar width and h= mining height
Ques 59 GATE 2025
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)
Ques 60 GATE 2025
The box plot of a data set is shown below
Ques 61 GATE 2025
The CORRECT statement(s) of dragline operation is/are -
Ques 62 GATE 2025
Match the source of error with the corresponding correction in surveying with steel tape.
| Source of error | Type of correction |
| (P) Sag | (1) Only Positive (+) |
| (Q) Temperature | (2) Only Negative (-) |
| (R) Pull greater than standard pull | (3) Either positive or negative (+ or -) |
Ques 63 GATE 2025
Based on the theodolite survey for a closed traverse PQRS, the following bearings are observed for the sides of the traverse.
| Line | Fore bearing |
| PQ | 60°30′ |
| QR | 105°30′ |
| RS | 220°30′ |
| SP | 310°30′ |
The interior angles at P and R respectively are
Ques 64 GATE 2025
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.
Ques 65 GATE 2025
A non-transit theodolite does NOT ______.
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