Mining Engineering Gate 2024 Questions with Answer

Ques 14 GATE 2024


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. X Figure A Y appear as

A

B

C

D


(d) is the correct answer.

Ques 15 GATE 2024


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°

B

60°

C

90°

D

180°


(a) is the correct answer.

Ques 16 GATE 2024


In a 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 time 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


(b) is the correct answer.

Ques 17 GATE 2024


A project network with the

The crashing costs of activities are
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


(a) is the correct answer.

Ques 18 GATE 2024


Exposure to loud impulsive noise may lead to

A

Nystagmus

B

Siderosis

C

Tinnitus

D

Stannosis


(c) is the correct answer.

Ques 19 GATE 2024


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

CO2 is released outside the apparatus after separating from exhaled air.

D

CO2 from exhaled air is absorbed with a chemical.


(d) is the correct answer.

Ques 20 GATE 2024


A rectangular mine airway of 2.0 m width and 2.5 m height has a bend with deflection of π/4 radian. If the radius of curvature of the bend is 4.0 m, the shock factor of the bend is (round off to three decimals)

A

0.014

B

0.024

C

0.051

D

0.071


(c) is the correct answer.

Ques 21 GATE 2024


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


(c) is the correct answer.

Ques 22 GATE 2024


For a geared engine winding system, the man winding cage is at its normal position at 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

1.2


(d) is the correct answer.

Ques 23 GATE 2024


In a closed traverse, ABC, the bearings of two lines AB and BC are given.

The length, in m and bearing of line CA, in degree, respectively, are

A

190.7 and 303°

B

190.7 and 240°

C

160.3 and 240°

D

160.3 and 303°


(c) is the correct answer.

Ques 24 GATE 2024


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


(d) is the correct answer.

Ques 25 GATE 2024


Water is pumped from a mine sump at the rate of 300 m3/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 ________. (round off up to 2 decimals)


(0.11) is the correct answer.

Ques 26 GATE 2024


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 (round off up to 2 decimals)


(0.49) is the correct answer.

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