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QUESTION: 1

**Q. 1 – Q. 5 carry one mark each.**

**Q.**

**If 3 X 5 and 8 Y 11 then which of the following options is TRUE?**

Solution:

QUESTION: 2

The Headmaster ___________ to speak to you.

Which of the following options is incorrect to complete the above sentence?

Solution:

QUESTION: 3

Mahatama Gandhi was known for his humility as

Solution:

QUESTION: 4

Which of the above underlined parts of the sentence is not appropriate?

Solution:

QUESTION: 5

Select the pair that best expresses a relationship similar to that expressed in the pair:

**water: pipe::**

Solution:

QUESTION: 6

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

**Q.**

Velocity of an object fired directly in upward direction is given by V= 80 - 32 t, where t (time)

is in seconds. When will the velocity be between 32 m/sec and 64 m/sec?

Solution:

QUESTION: 7

In a factory, two machines M1 and M2 manufacture 60% and 40% of the autocomponents

respectively. Out of the total production, 2% of M1 and 3% of M2 are found to be defective. If a

randomly drawn autocomponent from the combined lot is found defective, what is the probability

that it was manufactured by M2?

Solution:

QUESTION: 8

Following table gives data on tourists from different countries visiting India in the year 2011.

Which two countries contributed to the one third of the total number of tourists who visited India in

2011?

Solution:

QUESTION: 9

If |-2x + 9| = 3 then the possible value of |-x| - x^{2} would be:

Solution:

QUESTION: 10

All professors are researchers

Some scientists are professors

Which of the given conclusions is logically valid and is inferred from the above arguments

Solution:

QUESTION: 11

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

**Q.**

In the Coward flammability diagram, the respective percentages of methane and oxygen at the

nose limit are

Solution:

QUESTION: 12

If the transpose of a matrix is equal to its inverse, then the matrix is

Solution:

QUESTION: 13

In the Moh’s scale of hardness, the minerals in increasing sequence of hardness are

Solution:

QUESTION: 14

A ball of weight W is supported on smooth walls as shown in the following figure. R1 and R2 are

reactions from the walls 1 and 2. The free body diagram of the ball is represented by

Solution:

QUESTION: 15

For a 25 mm diameter spherical charge, the maximum allowable charge length in cm is

Solution:

QUESTION: 16

Long-hole drilling with crater blasting is used for the construction of

Solution:

QUESTION: 17

Rill stoping method is a form of

Solution:

QUESTION: 18

Transit theodolite is a

Solution:

QUESTION: 19

Incubation period is NOT related to

Solution:

QUESTION: 20

The rotational speed and cutting velocity of a drill are 350 rpm and 71.50 m/min respectively. The

diameter of the rotary drill bit in mm is

**(Note: Correct answer will be updated soon. Temporary Marked A)**

Solution:

QUESTION: 21

The pressure on a phreatic surface is

Solution:

QUESTION: 22

Events A and B are independent but NOT mutually exclusive. If the probabilities P(A) and P(B) are

0.5 and 0.4 respectively, then P(A ∪ B) is

Solution:

QUESTION: 23

Among the following options, the specific energy for rock-drilling is lowest in

Solution:

QUESTION: 24

Identify the correct statement for a ‘normal distribution’.

Solution:

QUESTION: 25

An emulsion explosive of specific gravity 1.25 is used for blasting in an iron ore formation having

P-wave velocity of 3000 m/s and specific gravity of 3.20. For an explosive impedance to rock

impedance ratio of 0.5, the desired velocity of detonation of the explosive in m/s is

Solution:

QUESTION: 26

The number of ways in which the letters in the word MINING can be arranged is

Solution:

QUESTION: 27

Under standard temperature and pressure conditions the theoretical maximum height in m to which

water can be lifted using an air-lift pump is

Solution:

QUESTION: 28

In a belt conveyor system, function of the snub pulley is to

Solution:

QUESTION: 29

In the following figure, the coefficient of kinetic friction between the trolley and the surface is 0.04.

When the block is released from rest, the acceleration of the trolley in m/s2 becomes

Solution:

QUESTION: 30

Two meshing spur gear wheels of Module 6 have 24 and 42 teeth. The distance in mm between the

centres of the gear wheels is

Solution:

QUESTION: 31

In an experiment to study coal dust explosibility, it is found that at least 3.0 g of limestone dust

should be added to a sample of 2.0 g of coal dust to ensure that propagation of flame does not take

place. The explosibility factor of coal dust is

Solution:

QUESTION: 32

A 20 m steel tape used in a mine survey is found to be 20 cm short when compared with a standard

tape. If the measured volume of a dump using the tape is 4000 m^{3}, its actual volume in m^{3} is

Solution:

QUESTION: 33

A mine worker inhales normal air; whereas, the exhaled air contains 16.65% O2 and 3.83% CO2.

The respiratory quotient of breathing for the worker is

Solution:

QUESTION: 34

Block economic values in Lakhs of Rupees for a section of a block economic model are shown

below.

At a permissible slope angle of 1:1, the optimum pit value of the section in Lakhs of Rupees is

Solution:

QUESTION: 35

The boundary of a mine is plotted on a scale of 1:2000. If a planimeter measures the plotted area as

58 cm^{2}, the actual mine area in m^{2} is

Solution:

*Answer can only contain numeric values

QUESTION: 36

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

**Q.**

For a shrinkage stope the following data values are given

The grade at the mill-head in g/tonne is ________

Solution:

*Answer can only contain numeric values

QUESTION: 37

In an experiment to determine specific gravity of a soil sample, the following data is obtained:

The specific gravity of the sample is __________

Solution:

*Answer can only contain numeric values

QUESTION: 38

A cylindrical rock specimen of diameter 54 mm has Young’s modulus of 68.97 GPa and Poisson’s

ratio of 0.35. The rock specimen fails in uniaxial compression at a lateral strain of 0.01%. The axial

load at failure in kN is __________

Solution:

*Answer can only contain numeric values

QUESTION: 39

**An open belt drive connects two pulleys on parallel shafts that are 3.6 m apart as shown in the
figure. The diameters of the pulleys are 2.4 m and 1.6 m. The angle of contact on the smaller pulley
in degrees is __________**

Solution:

*Answer can only contain numeric values

QUESTION: 40

A two tonne mine car is released from the top of an incline at a height of 3 m as shown in the

figure. The mine car travels 45 m along the inclined track and another 85 m along the horizontal

track before coming to rest.

The specific rolling resistance of the car in N/tonne is ____________

Solution:

*Answer can only contain numeric values

QUESTION: 41

A surface miner with 2.0 m cutting drum width excavates coal in windrowing mode from a bench

with effective face length 200 m. The cutting speed of the surface miner is 10 m/min and the

cutting depth 25 cm. The density of coal is 1.4 tonne/m3. If the average turning time of the machine

at the face end is 5 min, the rate of production in tonne/hour becomes ____________

Solution:

*Answer can only contain numeric values

QUESTION: 42

A core sample of a rock, having diameter 54 mm and length 108 mm, is subjected to axial loading.

If the axial strain and Poisson’s ratio are 2000 x 10^{-6} and 0.28 respectively, the value of

volumetric strain , represented in micro-strain is ___________

Solution:

*Answer can only contain numeric values

QUESTION: 43

A flat bauxite deposit has thickness of 10 m with an average density of 2200 kg/m3. The grade

values and the sample coordinates are as shown in the table. To carry out reserve estimation using

triangular method, the triangles are constructed as shown in the figure.

The alumina content in million tonnes, in the region comprising the three triangles is _________

Solution:

QUESTION: 44

If the following linear system of equations has non-trivial solutions

the value of p is

Solution:

QUESTION: 45

A bucket wheel excavator with 20 buckets of capacity 0.5 m^{3} each, rotates at 5 rev/min. The bucket

fill factor is 80%. The excavator loads on to 1200 mm wide belt conveyor. The cross-section area

(m^{2}) of the material on the belt is 0.1B^{2}, where B is the belt width in m. The minimum speed of the

belt in m/s to avoid spillage of material is

Solution:

QUESTION: 46

A simplex tableau shown below is generated during the maximization of a linear programming

problem using simplex method

After one iteration, the value of the objective function becomes

Solution:

QUESTION: 47

The value of

Solution:

QUESTION: 48

Given the following,

the correct match is

Solution:

QUESTION: 49

Given the following,

the correct match is

Solution:

QUESTION: 50

Given the following,

the correct match is

Solution:

QUESTION: 51

Four psychrometric processes P, Q, R and S are shown in the psychrometric chart below.

These processes respectively represent

Solution:

QUESTION: 52

Given the following differential equation

the general solution is

Solution:

QUESTION: 53

Given the following,

the correct match is

Solution:

QUESTION: 54

Given the following,

the correct match is

Solution:

QUESTION: 55

A sub-critical subsidence profile is shown in the figure below. The points A, B, C, and D represent

respectively the points of

Solution:

QUESTION: 56

The uniaxial compressive strength of a limestone sample is 80 MPa. The sample is confined at a

pressure of 20 MPa in a triaxial compressive strength test. Based on Hoek-Brown failure criteria

the maximum principal stress at failure in MPa is

(consider rock constants as m = 7.88, s = 1.0 and a = 0.5)

Solution:

QUESTION: 57

A wire of length L is cut into two pieces to construct a circle and an equilateral triangle such that

the combined area is minimum. The length of the wire used to construct the circle is

Solution:

QUESTION: 58

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

**Pressure characteristic of a mine fan is given by, P = -0.06Q ^{2 + 400, }where P is the pressure in Pa and Q
the quantity in m^{3}/s. The resistance of the mine is 0.19 Ns^{2}/m^{8}.**

**Q.**

The mine quantity in m^{3}/s is

Solution:

QUESTION: 59

**Pressure characteristic of a mine fan is given by, P = -0.06Q ^{2 + 400, }where P is the pressure in Pa and Q
the quantity in m^{3}/s. The resistance of the mine is 0.19 Ns^{2}/m^{8}.**

**Q.**

An identical fan is installed in the mine to operate in series with the existing fan. The new mine

quantity in m^{3}/s is

Solution:

QUESTION: 60

**Common Data for Questions 60 and 61:
The following observations are taken during a closed traverse.**

**Q.**

**The closing error of the traverse in mm is**

Solution:

QUESTION: 61

**Common Data for Questions 60 and 61:
The following observations are taken during a closed traverse.**

**Q.**

**The reduced bearing of the closing error in degrees is**

Solution:

QUESTION: 62

**Statement for Linked Answer Questions 62 and 63:**

**Economic analysis of an iron ore deposit reveals that the net value of the ore is related to the grade mined as shown in the table.**

**Q.**

Assuming linear relationship between the net value and grade, the break-even cut-off grade

in % Fe is

Solution:

QUESTION: 63

Economic analysis of an iron ore deposit reveals that the net value of the ore is related to the grade mined

as shown in the table.

**Q.**

**Assuming that the grade follows normal distribution with mean 62.7%, and standard deviation
10.0% (A portion of the standard normal distribution table is given below),**

the percentage of waste in the deposit based on the break-even cut-off grade is

Solution:

QUESTION: 64

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

**A 4.6 m wide vein dipping at 80 ^{0} is mined by horizontal cut-and-fill stoping method. The fill is to be
placed in the stope along the length of 46 m and to a height of 3.0 m. If the specific weight of the fill
material is 15.86 kN/m^{3} and the porosity is 35%, under fully saturated conditions.**

**Q.**

**the volume of water in the fill in m ^{3} is**

Solution:

QUESTION: 65

**A 4.6 m wide vein dipping at 80 ^{0} is mined by horizontal cut-and-fill stoping method. The fill is to be
placed in the stope along the length of 46 m and to a height of 3.0 m. If the specific weight of the fill
material is 15.86 kN/m^{3} and the porosity is 35%, under fully saturated conditions**

**Q.**

**the mass of solids in saturated fill in tonnes is**

Solution:

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