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Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 1

**Q. 1 – Q. 5 carry one mark each.**

**Q.**

Choose the appropriate word/pharase, out of the four options given below, to complete the following sentence:

Apparent lifelessness _________________ dormant life.

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 2

fill in the blank with the correct idiom/ pharase

That boy from the town was a _________________ in the sleepy village.

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 3

Choose the statement where underlined word is used correctly

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 4

Tanya is older than Eric

Cliff is older than Tanya

Eric is older that cliff

if the first two statements are true, the the third statement is :

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 5

Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. ow many matches will have to be held to complete the league round of matches?

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 6

**Q. 6 – Q. 10 carry two mark each.**

**Q.**

**Select the appropriate option in place of underlines part of the sentence**

**Increased productivity necessary**** reflects greater efforts made by the employees.**

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 7

Given below are two statements followed by two conclusion. Assuming these statements to be true, decide which one logically follows.

**Statement:**

1 No manager is a leader

2. All leaders are executives.

**Conclusions:**

1. No manager is an executive

2. No executive is a manager.

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 8

In the fiven figure angle Q is a right angle, PS:QS=3:1, RT: QT =5:2 and PU: UR = 1:1 if area of triangle QTS is 20 cm^{2}, then the area of triangle PQR in CM^{2 }is __________.

**(Important : you should answer only the numeric value)**

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 9

Right triangle PQR is to be constructed in the xy - plane so that the right angle is at P and line PR is parallel to the x-axis. Te x and y coordinates of P, Q and R are to be integers that satisfy the inequalities: -4 x 5 and 6y 16. How many diffrent traingle xould be constructed with these properties ?

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 10

A coin is tosssed thrice. Let X be the event that head occurs in each of the first two tosses. Let Y be the event that a tail occurs on the third toss. Let Z be the event that two tails occur in three tosses. Based on the above information, Which one of the following statements is TRUE?

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 11

**Q. 1 – Q. 25 carry one mark each.**

**Q.**

Out of the support categories given for an underground coal mine, identify the ‘active support’.

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 12

Massive sandstone in immediate roof delays the local fall in goaf of a coal mine. Under this

condition, crushing of the pillars at outbye side is called

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 13

A back sight on a bench mark of RL 100.00 m on the floor of a tunnel is 3.25 m. The inverse staff

reading on a roof station of the tunnel is 1.25 m. The RL of the roof station in m is ________

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 14

The angle in degrees at which a ridge line intersects contours is

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 15

In a drum hoisting system through a vertical shaft, overwinding is prevented by

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 16

The temperature of a parcel of air decreases from 30.2^{o} C to 28.9^{o} C as it rises from an altitude of

20 m to 120 m. The lapse rate for the atmosphere is

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 17

The excess pore pressure in backfill material in a cut-and-fill stope leads to

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 18

The primary purpose of cut holes for blasting in an underground drivage is to

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 19

In a triangle ABC, the bearings of the sides AB, BC, and CA are 60^{0} , 130^{0}, and 270^{0} respectively.

The interior angles A, B, and C in degrees respectively are

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 20

In a binomial distribution, the probability of success p →0 and number of trials n → ∞ such that

λ = np approaches to a finite value. The variance of the distribution is

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 21

For a function f (x) , it is given that f (0) = 2 and f' (0) = 4 . Ignoring all other higher order

derivative terms, the value of f (0.5) is ________

**(Important : you should answer only the numeric value)**

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 22

The two sides of a parallelogram are given by the vectors The

area of the parallelogram is

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 23

In a BOD test, 5 ml of wastewater is diluted with pure water to fill a 300 ml BOD bottle. The

initial and final dissolved oxygen contents of the mix are 9.0 mg/l and 7.0 mg/l respectively. The

BOD of the wastewater, in mg/l, is

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 24

A force of 50 N is applied to a wrench as shown in the figure. The magnitude of the moment in

N-mm of this force about the point P is ________

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 25

Dilatancy of rock is associated with

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 26

A bord and pillar panel having square pillars is designed for 30% extraction during development. If

the gallery width is 5 m, the side of the pillar in m is ________

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 27

Low shock and high gas pressure explosive is generally used for blasting of

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 28

The covariance of copper grade for a certain lag distance in an ore body is 6.0 (%)^{2}. If the sill is

10 (%)^{2}, the semivariogram for the same lag distance in (%)^{2} is

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 30

A gas mixture contains CH_{4}, C_{2}H_{6} and H_{2} with respective concentrations of 75%, 15% and 10% by

volume. The lower explosibility limit of CH4, C_{2}H_{6} and H_{2} are 5.0%, 3.3% and 4.2% respectively.

The lower explosibility limit of the gas mixture, in percentage, is ________

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 31

Intake air containing 0.2% methane enters a section of an underground mine where emission rate of

methane is 0.05 m^{3}/s. Assuming that the threshold limit value of methane is 1.25%, the minimum

quantity of fresh air required in m^{3}/s is ________

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 32

In a fully mechanised bord and pillar mining system, winning of coal and its transportation from the

face is commonly carried out with the combination of

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 33

An underground coal mine employing 1200 persons experiences 2 fatal injuries, 6 serious injuries

and 8 reportable injuries during the year 2013. The total injury rate per 1000 persons employed for

the year is ________

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 34

In self-contained chemical-oxygen self-rescuer, oxygen is produced by

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 35

The failure data of an equipment follows an exponential distribution. If the mean time between

failures is 3000 hours, the reliability of the equipment for 750 hours is ________

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 36

**Q. 36 – Q. 65 carry two marks each.**

**Q.**

In a 4.2 m wide and 3.0 m high gallery in a coal seam, twelve shot holes are blasted per round. The

holes are charged with 2 explosive cartridges of 435 g each. If the powder factor of the blast is 2.2

tonne/kg and specific gravity of coal is 1.4, the pull per round of blast in m is

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 37

The stadia readings with horizontal sight on a vertical staff held at 50 m from a tacheometer are

1.285 m and 1.780 m. The focal length of the object glass is 25 cm, and the distance between the

object glass and the vertical axis of the tacheometer is 15 cm. The stadia interval in mm is _______

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 38

In a shortwall panel, coal is extracted from the face by a continuous miner having rate of production

30 tonne/h. Coal having specific gravity of 1.4 is transported by shuttle cars of capacity 0.9 m^{3}

each to a feeder breaker located at 60 m from the face. If the average speed of the LHD is 0.5 m/s,

and total loading and unloading time of LHD is 40 s, the number of LHDs required to match the

production of the continuous miner is

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 39

Vertical photographs of an area lying 500 m above the mean sea level are to be taken at a scale of

1:20000 from an aircraft. If the camera has a focal length of 210 mm, the flying height of the

aircraft above the mean sea level in m is ________

**(Important : you should answer only the numeric value)**

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 40

Match the following locations with support types in coal mines.

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 42

A rectangular field of area 20000 m^{2} is to be divided into 6 different plots by fencing as shown in

the figure. The value of L in m for which the total length of fencing becomes minimum is _______

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 43

Match the following for a drilling system.

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 44

For the ventilation system shown, the combined resistance of the trunk airways and the shafts is

2.2 Ns^{2}m^{-8}. The resistances of splits A and B are 0.5 Ns^{2}m^{-8} and 0.8 Ns^{2}m^{-8} respectively. A

regulator of size 2.0 m^{2} is placed in split A. Considering the fan generates a pressure of 1000 Pa,

the air flow in m3/s in split B is ________

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 45

A mine fan running at 300 rpm delivers 150 m^{3}/s of air at a pressure of 900 Pa. Fan and motor

efficiencies are 75% and 90% respectively. If the fan speed is reduced to 250 rpm, the saving in

electric power input to the motor in kW is ________

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 46

Subsidence profile function, s(x), along the lateral cross-section over a flat longwall panel is given

as

where x = distance (m) from the inflection point and D = depth (m) of the seam. Considering that

the inflection point lies vertically above the edge of the panel, the angle of draw in degrees for a

depth of 250 m is ________

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 47

A goaf void of 250 m^{3} is filled in 3 hours by hydraulic sand stowing method. Density of the sand is

2.6 tonne/m^{3}. If the filling factor of goaf void is 0.9 and sand to water ratio in the stowing mixture

is 1.0 tonne to 1.1 m^{3} , the stowing rate in m^{3}/h is ________

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 48

A single-acting reciprocating pump delivers 0.018 m^{3}/s of water when running at 45 cycles per

minute. The piston diameter is 300 mm and stroke length is 400 mm. The volumetric efficiency of

the pump in % is ________

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 49

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

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 50

A mine air sample contains CH_{4}, CO, H_{2}, N_{2} and O_{2}. The mine air analysis using Haldane apparatus

gives the following results expressed in percentage of total sample volume.

The percentage of CH_{4} in the sample analysed is ________

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 51

The initial investment for a small scale mining project is Rs. 5.0 crore. Annual cash inflow for a life

period of 4 years is given below.

The net present value of the project at an annual discount rate of 10% in Rs. crore is ________

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 52

Given the following linear programming problem,

the corner point feasible solution in terms of (x_{1},x_{2}) is

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 53

The 3-period torque-time diagram of a statically balanced hoist is shown in the figure.

The rms torque for the motor in kN-m is ________

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 54

Airborne PM_{10} concentration in a residential area is monitored for 24 hours by a respirable dust

sampler. Initial and final weights of the filter paper are 2.3125 g and 2.6996 g respectively. The

average airflow rate during sampling is 1.2 m^{3}/min. The PM_{10} concentration of the area in

μg m^{-3} is ______

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 55

The assignment problem given requires four different jobs to be done on four different machines.

The minimum cost of assignment is ________

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 56

Acceleration of a particle moving in a straight line is expressed by

where, s denotes distance (m) and t, time (s). At time t = 0, the distance and velocity of the particle

are 0 m and 3 m/s respectively. The distance travelled by the particle in m after 3 s is

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 57

Rock bolts have length L = (150 + X) cm, where X is a random variable with probability density

function

If 95% of the bolt lengths (L) lie in the interval 150 - c cm to 150 + c cm, the value of c is _______

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 58

The properties for a bivariate distribution of two random variables X and Y are given below.

E(X) = 24, E(Y ) = 36, E(X^{2} ) = 702, E(Y^{2} ) =1524, E(XY) =1004

The correlation coefficient between X and Y is ________

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 59

Biaxial stresses at a point inside a pillar are shown in the figure.

The magnitude of the maximum shear stress in MPa and its direction with the x-axis in degrees at

the same point respectively are

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 60

A circular tunnel is constructed in a biaxial far field stress (vertical stress p_{0} and horizontal stress

Kp_{0} ) as shown in the figure.

If the ratio of the tangential stress measured at the boundary points A and B is 3:1, the value of K is

_______

**(Important : you should answer only the numeric value)**

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 61

Peak particle velocity (PPV) at points A and B are measured for a blast pattern as shown in the

figure.

where D (in m) denotes the distance from the blast row to the measuring point and Q (in kg),

maximum charge per delay. The site constants K and n respectively are

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 62

Copper ore of average grade 0.65% is mined, milled, smelted and then refined. The following

information is available:

The amount of refined copper obtained per tonne of ore in kg is

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 63

The ratio of horizontal to vertical in-situ stresses, K, at a mine field varies with depth, D (in m) as

If the unit weight of overburden rock is 25 kN/m^{3}, the horizontal stress in MPa at a depth of 400 m

is ________

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 64

A coal seam of 2 m thickness is extracted by a longwall retreating panel with face length of 120 m.

Web depth of the shearer is 0.6 m. Average manpower in the longwall face in a shift is 20. The

specific gravity of in-situ coal is 1.4. If the shearer makes 4 full-face cuts in 3 shifts, the face OMS

in tonne is ________

*Answer can only contain numeric values

Mining Engineering - MN 2015 GATE Paper (Practice Test) - Question 65

A loaded dumper of total mass 75 tonne, having wheel diameter 1250 mm, runs on a haul road

which offers an average specific rolling resistance of 260 N/tonne. The engine develops an axle

torque of 15 kN-m. The starting acceleration of the dumper in m/s^{2} is ________

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