Q. 1 – Q. 5 carry one mark each.
Q. The volume of a sphere of diameter 1 unit is ________ than the volume of a cube of side 1 unit.
The unruly crowd demanded that the accused be _____________ without trial.
Choose the statement(s) where the underlined word is used correctly:
(i) A "prone" is a dried plum.
(ii) He was lying "prone" on the floor.
(iii) People who eat a lot of fat are "prone" to heart disease.
Fact: If it rains, then the field is wet.
Read the following statements:
(i) It rains
(ii) The field is not wet
(iii) The field is wet
(iv) It did not rain
Which one of the options given below is NOT logically possible, based on the given fact?
The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
Q. 6 – Q. 10 carry two marks each.
Q.
Students taking an exam are divided into two groups, P and Q such that each group has the same
number of students. The performance of each of the students in a test was evaluated out of 200
marks. It was observed that the mean of group P was 105, while that of group Q was 85. The
standard deviation of group P was 25, while that of group Q was 5. Assuming that the marks were
distributed on a normal distribution, which of the following statements will have the highest
probability of being TRUE?
A smart city integrates all modes of transport, uses clean energy and promotes sustainable use of
resources. It also uses technology to ensure safety and security of the city, something which critics
argue, will lead to a surveillance state.
Which of the following can be logically inferred from the above paragraph?
(i) All smart cities encourage the formation of surveillance states.
(ii) Surveillance is an integral part of a smart city.
(iii) Sustainability and surveillance go hand in hand in a smart city.
(iv) There is a perception that smart cities promote surveillance.
Find the missing sequence in the letter series.
B, FH, LNP, _ _ _ _.
The binary operation ? is defined as a ? b = ab+(a+b), where a and b are any two real numbers.
The value of the identity element of this operation, defined as the number x such that a ? x = a, for
any a, is
Which of the following curves represents the function
Q. 1 – Q. 25 carry one mark each
Q.
The differential of the equation, x^{2} + y^{2} =1, with respect to x is
If [A][B] = [I ] then
X^{4} +C is the general integral of
Sinh (x) is
Identify the correct statement.
NONEL is used for surface connection of the blast holes in order to
Identify the pattern of surface blasting given in the figure. The values of delay time, in ms,
are given against each blasthole.
Identify the initiation sequence which is NOT possible for surface blasting.
Parallel holes at right angles to the face with some holes uncharged are associated with the following shot hole pattern
Bieniawski’s Rock Mass Rating considers the parameters: RQD, spacing of joints, condition of
joints, ground water condition, and
The unruly crowd demanded that the accused be without trial.
Identify the uniaxial compressive loading condition from the following four Mohr circles.
Out of the given stressstrain curves, identify the rock type that is most prone to rock burst.
A longwall panel of width 120 m is extracted at a depth of 200 m. Critical subsidence is reached
when the panel length becomes 150 m. If the seam were to be worked at a depth of 300 m, critical
subsidence would be observed at a panel length, in m, of _______________
Important : you should answer only the numeric value
The support system followed along the goaf edge in a depillaring panel is
Which one of the following ropes CANNOT be an effective cable bolt?
In metalliferous mines, the sublevel interval does NOT depend on
Jack hammer does NOT contain
At the inlet of a mine roadway, the dry and wet bulb temperatures of air are 38^{0}Cand 29^{0}C,
respectively. At the outlet, the corresponding temperatures are 32^{0}C and 29^{0}C, respectively. The
process of heat transfer in the airway is described as
Underground coal mines are in principle ventilated by exhausting system, so that
Identify the WRONG statement.
Pit bottom air lock
Identify the WRONG statement.
The ‘temperature inversion’ of the atmosphere in surface mines aggravates the problem of
In a CO self rescuer, the purpose of the calcium bromide and lithium chloride mixture is to
IRR of a project is the discount rate at which
For the critical path network shown, the slack for the activity ‘b’, in months, is
The three axes comprising the numerical codification of resources, as per the UNFC, are
Q. 36 – Q. 65 carry two marks each
Q.
Equations of two planes are z = 4 and z = 4 + 3x . The included angle between the two planes in
degrees, is ____________
A force acts on a particle. The particle is moved from point A to point B, where
the position vectors of respectively. The work done is
____________
(Important : you should answer only the numeric value)
The value of x in the simultaneous equations is ______________
3x+y+2z=3
2x3yz=3
x+2y+z=4
(Important : you should answer only the numeric value)
Two persons P and Q toss an unbiased coin alternately on an understanding that whoever gets the
head first wins. If P starts the game, then the probability of P winning the game is ____________
Data pertaining to a surface bench blast is given below:
The powder factor of the blast, in kg/tonne, is _______
Match the following for a typical slurry explosive
A 10 m thick coal block is excavated by a contractor at a cost of Rs. 40 per m^{3} . The excavated
area, measured in the mine plan, is found to be50 cm^{2} . If the mine plan has been drawn to a scale
of 1:1000, the payment to be made to the contractor, in lakhs of Rs., is _______
(Important : you should answer only the numeric value)
Two vertical shafts of a mine have the following parameters
The gradient of the drift connecting the shaft bottoms, in degrees, is_____
For a station ‘A’ on the Earth’s surface, as shown in the figure, match the following
Match the following for the prismatic compass shown below
A ladder placed against a frictionless wall at an inclination of 60^{0 }with horizontal, is in a state of
limiting equilibrium. The ladder has a length of 13 m and a uniform mass of 4 kg/m. The
coefficient of friction between the ladder and the floor is ______
A cubical rock sample is enclosed between two fixed hard steel plates as shown in the figure below.
The modulus of elasticity and Poisson’s ratio of the rock are 2 GPa and 0.25, respectively. If the
rock is subjected to the stresses as shown in the figure, the strain in xdirection, in mm/m, is
_______.
In a hydrostatic stress field, point A is in the middle of two circular openings as shown in the
figure. The radial stress, in MPa, at point A is _________.
Curves (a) and (b) represent the stress distributions along the length of a ‘full column grouted bolt’
shown in the figure. Curves (a) and (b) are
Match the following mechanical properties with the formulae
A skip of 10 tonne capacity hoists ore through a 1000 m deep shaft at a speed of 20 m/s. The skip
accelerates and decelerates at 2.0 m/s2 . The loading and unloading times for the skip are 2.5 min
and 1.5 min, respectively. The maximum hourly capacity of the hoisting system, in tonnes, is
_____________
Match the following:
In the gear assembly shown, the rpm of Gear 1 is 600. The number of teeth in Gear 1, Gear 2, Gear
3, Gear 4, Gear 5 and Gear 6 is 30, 45, 15, 20, 10 and 30, respectively. The rpm of Gear 6 is
______
(Important : you should answer only the numeric value)
An operating surface mine is proposed to be deepened by 30 m as shown in the figure. If the
density of the ore is 2.4 tonne m^{3} , the incremental stripping ratio for the deepening, in
m^{3} tonne , is ______.
From an openpit sump, mine water is lifted using a 250 m long straight pipeline laid along a
gradient of 34^{0} . The pumping rate is 500 gpm (1 gallon = 3.8 litres). Additional head loss due to
pipe friction can be considered to be 10% of head lifted. At an overall efficiency of 70%, the
electric power consumed by the pump, in kW, is __________.
With reference to Coward diagram, match the following in the context of explosibility of a mixture
of ‘normal air’ and ‘methane’.
A Utube manometer is subjected to differential pressure as shown. If specific gravity of kerosene
is 0.8, the value of (P_{1}  P_{2} ), in Pa, is_________.
An air stream having an enthalpy of 100 kJ/kgda, is flowing at 20 kgda/s. It is cooled by water at
temperature 10^{0}C circulating in a cooling coil at a flow rate of 10.0 l/s. If the return temperature of
water is 20^{0}C , the enthalpy of the cooled air, in kJ/kgda, is ___________.
(Specific heat of water: 4.18 kJ kg ^{0}C ; kgda: kg of dry air).
The static pressure characteristic of a mine fan is as shown. If the mine resistance is 0.3 Ns^{2/} m^{8} ,
the quantity generated by the fan, in m^{3}/s , is _______.
In the context of ventilation plan symbols, match the following:
A mill concentrate, having 25% copper, is proposed to be sold at Rs. 1,25,000 per tonne. The grade
of the deposit is 0.8% Cu and the overall cost of mining and milling is Rs. 2,520 per tonne of ore.
At a recovery of 75%, the estimated profit, in Rs./tonne of concentrate, is __________
Copper grade distribution in an ore body has the probability density function, f (x) , as shown in
the figure. The average grade of the deposit, in % Cu, is ______.
The semivariogram shown belongs to a bauxite deposit. The expected difference in the Al_{2}O_{3} (%)
values between two boreholes separated by a distance of 200 m is _______.
(Important : you should answer only the numeric value)
A surface mine has 15 identical dumpers and two shovels. For shovel 1, the dumper cycle time is
30 min and the shovel loading time is 5 min. For shovel 2, the dumper cycle time is 32 min and the
shovel loading time is 4.0 min. Based on match factor optimisation (equitable match factor), the
ideal allocation of dumpers to shovel 1 and shovel 2, respectively is
The composited grade value, in %, between the RLs 10 m to 20 m for the following borehole
configuration is ________________
(Important : you should answer only the numeric value)
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