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QUESTION: 1

**Q. 1 – Q. 5 carry one mark each.**

**Q.**

**Choose the most appropriate alternative from the options given below to complete the following
sentence:
I ___ to have bought a diamond ring.**

Solution:

QUESTION: 2

Choose the most appropriate alternative from the options given below to complete the following

sentence:

Food prices ___ again this month.

Solution:

QUESTION: 3

Choose the most appropriate alternative from the options given below to complete the following

sentence:

The administrators went on to implement yet another unreasonable measure, arguing that

the measures were already ___ and one more would hardly make a difference.

Solution:

QUESTION: 4

Choose the most appropriate alternative from the options given below to complete the following

sentence:

To those of us who had always thought him timid, his ___ came as a surprise.

Solution:

QUESTION: 5

The arithmetic mean of five different natural numbers is 12. The largest possible value among the

numbers is

Solution:

QUESTION: 6

**Q. 6 - Q. 10 carry two marks each.**

**Q.**

Two policemen, A and B, fire once each at the same time at an escaping convict. The probability

that A hits the convict is three times the probability that B hits the convict. If the probability of the

convict not getting injured is 0.5, the probability that B hits the convict is

Solution:

QUESTION: 7

The total runs scored by four cricketers P, Q, R, and S in years 2009 and 2010 are given in the

following table:

The player with the lowest percentage increase in total runs is

Solution:

QUESTION: 8

If a prime number on division by 4 gives a remainder of 1, then that number can be expressed as

Solution:

QUESTION: 9

Two points (4, p) and (0, q) lie on a straight line having a slope of 3/4. The value of (p – q) is

Solution:

QUESTION: 10

**In the early nineteenth century, theories of social evolution were inspired less by Biology than
by the conviction of social scientists that there was a growing improvement in social
institutions. Progress was taken for granted and social scientists attempted to discover its
laws and phases.**

Which one of the following inferences may be drawn with the greatest accuracy from the above

passage?

Social scientists

Solution:

QUESTION: 11

**Q. 11 – Q. 35 carry one mark each.**

**Q.**

**A 30 m steel tape having an area of cross-section of 5 x 10-6 m2 is standardized at 200C, supported
under a tension of 5.45 N. It is used to measure a horizontal distance of 81.15 m under an applied
tension of 9.09 N. The error, due to incorrect pulling arrangement in this observation, in m is
(E**

Solution:

QUESTION: 12

The coefficient of variation of a dataset is measured by

Solution:

QUESTION: 13

The value of

Solution:

QUESTION: 14

Assuming sin(1) = 0.841and sin(3) = 0.141, the Lagrangian linear interpolating polynomial, for

the function f (x) = sin(x) defined on the interval [1, 3] and passing through the end points of the

interval, is

Solution:

QUESTION: 15

If Poisson’s ratio of a rock sample is 0.25, then the relationship among the modulus of elasticity

(E), modulus of rigidity (G) and bulk modulus (K) is

Solution:

QUESTION: 16

The 2nd order differential equation having a solution y = (A/ x) + B , where A and B are constants,

is

Solution:

QUESTION: 17

A cylindrical rock specimen is uniaxially loaded under compression and fails at 50 MPa. The

fracture plane is inclined at an angle of 450 with the axial direction. The normal and shear stresses

respectively on the failure plane in MPa are

Solution:

QUESTION: 18

A uniformly distributed load of 20 kN/m is acting on a 15 m long cantilever beam AB of area of

cross section 2 m x 2 m, as shown in the figure. The beam is fixed at point A. The modulus of

elasticity of the material is 1.0 GPa.

The maximum vertical displacement of the beam in m is

**(Note : Correct Answer will be updated Soon. Temporary marked A)**

Solution:

QUESTION: 19

In a surface mine, sound pressure level at a location generated by operation of a dozer and a drill

respectively are 80 dBA and 60 dBA, when operated independently. The sound pressure generated

by the dozer compared to the drill is higher by a factor of

Solution:

QUESTION: 20

As per the Indian Electricity Rules 1956, the maximum permissible length of a flexible cable used

with an electric rope shovel in m is

Solution:

QUESTION: 21

The equipment that is NOT used in hard rock metal mining drivage is

Solution:

QUESTION: 22

The roof bolt that follows the principle of point anchorage is

Solution:

QUESTION: 23

Equipment used in mining of placer deposits is

Solution:

QUESTION: 24

A dump truck powered by 350 kW engine is running at a speed of 35 km/h. Considering the

transmission efficiency of the truck as 85%, the rim pull of the truck in kN is

Solution:

QUESTION: 25

Nystagmus is a miner’s disease associated with

Solution:

QUESTION: 26

Apart from mining of coal, the longwall mining method has been practiced for mining the deposits

of

Solution:

QUESTION: 27

The three segments, whose synchronous functioning is essential for GPS operations, are

Solution:

QUESTION: 28

When a double ended ranging drum shearer cuts coal in a longwall face,

Solution:

QUESTION: 29

The match the following

Solution:

QUESTION: 30

Continuous miner and shuttle car combination is NOT applicable in mining with

Solution:

QUESTION: 31

Contours in a topographic map

Solution:

QUESTION: 32

A Dragger Gas Mask DOES NOT filter

Solution:

QUESTION: 33

A system consists of four elements A, B, C and D which are connected functionally in a parallel

configuration. The individual reliability of the elements is 0.80, 0.82, 0.85 and 0.90 respectively.

The reliability of the system is

Solution:

QUESTION: 34

The blasting technique used for controlled throw of overburden is known as

Solution:

QUESTION: 35

The stoping method, where a large part of blasted ore is allowed to accumulate in the stope to serve

the purpose of providing working platform for stoping as well as to support the wall-rock, is known

as

Solution:

*Answer can only contain numeric values

QUESTION: 36

**Q. 26 to Q. 55 carry two marks each.**

**Q.**

The injury rates of mine workers in an underground coal mine based on age group are given below:

The injury rate per 1000 persons employed in the mine for the total population is

Solution:

QUESTION: 37

A shearer is deployed in a mine where the specific energy consumption for cutting coal is

800 kJ/m^{3}. The specific gravity of coal is 1.2. If the machine produces 700 te/h, the electrical power

consumption in kW of the shearer at 65% motor efficiency is

Solution:

QUESTION: 38

The figure shows a weightless beam PQ of length 8 m resting on a hinge support at P and on a

roller support at R. A vertical force of 40 N is acting at a distance of 4 m from P. A uniformly

distributed load of 10 N/m is acting on a length of 2 m of the beam from Q.

The magnitude of reaction force at R in N is

Solution:

*Answer can only contain numeric values

QUESTION: 39

The figure shows the distance vs time graph of a moving particle. The tangents to the curve at A

and B make angles of 45^{0} and 60^{0} respectively with the time axis.

The ratio of the speeds of the particle at B and at A is

Solution:

QUESTION: 40

The gear ratios of the first gear, transfer case and differential of a four wheel drive vehicle are

3.81:1, 2.72:1 and 4.11:1 respectively. If the engine is rotating at 1000 rpm and the wheel diameter

is 1.2 m, the speed of the vehicle in first gear in km/h is

Solution:

QUESTION: 41

An iron ore mine recorded an average of 3 accidents per month. The number of accidents is

distributed according to Poisson distribution. The probability that there will be exactly 2 accidents

per month is

Solution:

QUESTION: 42

Match the following:

Solution:

QUESTION: 43

The torque in N-m of a winder motor is described by the relationshipT =1450 − 3.2ω , where, ω is

the angular speed of the motor in rad/s. If the shaft is rotating at a speed of 1450 rpm, the power of

the motor in kW is

Solution:

QUESTION: 44

An investment of Rs. 10,000, compounded annually, is estimated to return Rs. 20,000 after 6 years

from the date of investment. The expected rate of return on this investment in percentage is

Solution:

QUESTION: 45

A spherical droplet of water, with density 1000 kg/m3 and diameter of 1 μm, is falling in air. The

viscosity of air is 1.85 x 10^{-5} kg/m⋅s . Neglecting air density and assuming that the settling of

droplet in air follows Stokes’ Law, the settling velocity in m/s is

Solution:

QUESTION: 46

A mining company has three mines (M1, M2 and M3) that supply coal to three power plants

(P1, P2 and P3). The three mines produce 900, 1000 and 1200 te of coal per day respectively. The

power plant requirements from these three mines are 1200, 1000 and 900 te per day respectively.

The unit cost of transporting coal from the three mines to the three power plants in Rs. is given

below

Based on the initial basic feasible solution, using Vogel’s approximation method, the total

transportation cost in Rs. is

Solution:

QUESTION: 47

The angle between the tangents to the curve

Solution:

QUESTION: 48

The chip sampling data, spaced irregularly for a gold vein deposit, are shown in figure. The sample

points have equal influence on both the sides.

The mean assay value in g/te is

Solution:

QUESTION: 49

A series of triaxial tests of sandstone samples reveal the cohesion and the angle of internal friction

as 21.65 MPa and 30° respectively. Based on the assumption that the sandstone samples follow the

Mohr-Coulomb’s failure criteria, the tensile strength in MPa is

Solution:

QUESTION: 50

The adjusted values of departure and latitude for a traverse line AB obtained in a field survey of a

mine are 225.520 m and 388.835 m respectively. The length in m and azimuth of line AB are

Solution:

QUESTION: 51

The figure shows the values of seven perpendicular offsets and the respective locations along the

line XY as observed while carrying out a traverse survey. The area of the plot XABCDEFGY in m^{2 }is

Solution:

QUESTION: 52

In a longwall panel, the main gate road is 1000 m long, 4.5 m wide and 2 m high. The gate road is

to be used for airflow at the rate of 17 m^{3}/s. Considering a coefficient of resistance of airways of

0.01, the pressure in Pa required to maintain the airflow in the gate road is

(Note: correct answer will be updated soon, Temporary marked A)

Solution:

QUESTION: 53

The cofactor matrix of

**(Note: correct answer will be updated soon, Temporary marked A)**

Solution:

QUESTION: 54

Match the following:

Solution:

QUESTION: 55

An opencast mine bench has a potential failure plane AC as indicated in figure. Bolts are installed

to stabilize the failure plane providing a resultant bolting force of 300 kN. The area of sliding block

ABC is 37.45 m^{2}.The unit weight, cohesion and angle of internal friction of rock are 25 kN/m^{3}, 20

kPa and 400 respectively.

The factor of safety of slope when bolts are installed perpendicular to the failure plane is

Solution:

QUESTION: 56

Figure shows a two pulley system for hoisting a load of 10 kN. The coefficient of friction between

each pulley and the rope is 0.2. The vertical and horizontal distances between the centers of the

pulleys are 25 m and 16 m respectively.

The tensions T_{1} and T_{2} respectively in kN are

Solution:

QUESTION: 57

A circular tunnel of 1.85 m radius is driven in rock in a hydrostatic stress field of 20 MPa. The

tunnel lining is provided before occurrence of any rock deformation. The shear modulus of rock is

2 GPa and the modulus of elasticity of lining material is 3 GPa. Assuming both rock and lining

behave elastically, the radial pressure on the rock and lining interface in MPa is

Solution:

QUESTION: 58

**Common Data for Questions 58 and 59:**

**A 2.5 m thick coal seam lying at an average depth of 100 m has been developed by bord and pillar method. The width of the square pillars is 30 m (centre to centre) and the gallery width is 4 m. The average density of the overlying strata is 26 kN/m ^{3} and the pillar strength is 4500 kN/m^{2}.**

**Q.**

Extraction ratio during the development of the pillar is

Solution:

QUESTION: 59

**A 2.5 m thick coal seam lying at an average depth of 100 m has been developed by bord and pillar method. The width of the square pillars is 30 m (centre to centre) and the gallery width is 4 m. The average density of the overlying strata is 26 kN/m ^{3} and the pillar strength is 4500 kN/m^{2}.**

**Q.**

**The safety factor of the pillar is**

Solution:

QUESTION: 60

**Common Data for Questions 60 and 61:**

**The following data are provided for a surface mine to be excavated by a shovel:**

**Q.**

**The annual production target in Mte is**

Solution:

QUESTION: 61

**The following data are provided for a surface mine to be excavated by a shovel:**

**Q.**

**The size of bucket of the shovel in m ^{3} is**

Solution:

QUESTION: 62

**Statement for Linked Answer Questions 62 and 63:
A mining project is composed of five activities whose three time estimates in months are given below:**

**Q.**

**The expected duration of the mining project in months is**

**(Note: correct answer will be updated soon, Temporary marked A)**

Solution:

QUESTION: 63

A mining project is composed of five activities whose three time estimates in months are given below:

**Q.**

**The standard deviation of the project length in months is**

**(Note: correct answer will be updated soon, Temporary marked A)**

Solution:

QUESTION: 64

**Statement for Linked Answer Questions 64 and 65:**

**In a mine between upcast shaft and downcast shaft, two airways are connected in parallel and their
resistances are 100 and 120 N s ^{-2} m^{-8} respectively. The resistance of upcast shaft, downcast shaft and the fan drifts are 10, 20 and 5 N s^{-2} m^{-8} respectively. The fan drift air pressure is 15 MN/m^{2}.**

**Q.**

**The rate of airflow through the mine in m ^{3}/s is**

**(Note: correct answer will be updated soon, Temporary marked A)**

Solution:

QUESTION: 65

**In a mine between upcast shaft and downcast shaft, two airways are connected in parallel and their
resistances are 100 and 120 N s ^{-2} m^{-8} respectively. The resistance of upcast shaft, downcast shaft and the fan drifts are 10, 20 and 5 N s^{-2} m^{-8} respectively. The fan drift air pressure is 15 MN/m^{2}.**

Q.

The rate of airflow through the split airway having resistance of 100 N s^{-2} m^{-8} in m^{3}/s is

**(Note: correct answer will be updated soon, Temporary marked A)**

Solution:

### Mining Engineering (MN) 2012 GATE Paper with solution

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