Suresh said, “I did it yesterday.” Which one of the following options is the correct form of this sentence in indirect speech?
a.
Suresh said that I did it yesterday.
b.
Suresh says I did it yesterday.
c.
Suresh says that he did it the day before.
d.
Suresh said that he had done it the day before.
Correct Answer
No explanation saved for this question yet.
Q2mcq
To continue the sequence of tiles shown, the tile indicated by the question mark should be
a.
b.
c.
Correct Answer
d.
No explanation saved for this question yet.
Q3mcq
Consider an art gallery whose walkways are shown as lines in the diagram. A black dot represents a junction of two walkways. A guard may be placed at a junction to watch over the walkways that join at that junction. The minimum number of guards needed to watch all the walkways is ________.
a.
2
b.
3
Correct Answer
c.
4
d.
5
No explanation saved for this question yet.
Q4mcq
The 2 nd of June is a Thursday in a certain year. Which day of the week is the 3 rd of July in that year?
a.
Thursday
b.
Friday
c.
Saturday
d.
Sunday
Correct Answer
No explanation saved for this question yet.
Q5mcq
A coin with heads facing up is shown as and a coin with tails facing up is shown as. Six coins are placed in the Starting Arrangement, as shown in the figure below. A “step” is defined as interchanging a pair of adjacent coins without flipping them. The minimum number of steps needed to go from the Starting Arrangement to the Final Arrangement, as shown in the figure, is ________.
a.
3
b.
6
c.
9
Correct Answer
d.
12
No explanation saved for this question yet.
Q6mcq
Exacerbate: Mitigate:: ___________ Choose the option with the correct pair of words to fill the blank.
a.
Aggravate: Alleviate
Correct Answer
b.
Alleviate: Precipitate
c.
Aggravate: Precipitate
d.
Emancipate: Exonerate
No explanation saved for this question yet.
Q7mcq
A paper shown in Panel I is folded along the dashed lines (- - -) to construct a cube. The shaded regions shown in Panel I appear on the outer surface of the cube. Referring to cubes shown in Panel II, which one of the options is correct?
a.
Only (i) can correspond to the unfolded cube in Panel I.
b.
Only (ii) can correspond to the unfolded cube in Panel I.
Correct Answer
c.
Both (i) and (ii) can correspond to the unfolded cube in Panel I.
d.
Neither (i) nor (ii) can correspond to the unfolded cube in Panel I.
No explanation saved for this question yet.
Q8mcq
In a population, patients who have high cholesterol also have high blood-pressure (BP). Some patients with high BP also have diabetes. There are no patients who have both high cholesterol and diabetes. Furthermore, 1. the total number of patients with at least one of these conditions is 75, 2. the number of patients with high cholesterol is 10, 3. the number of patients with high BP is 45, and 4. the number of patients with only high BP and no other conditions is 20. Then the number of patients who have both diabetes and high BP is _______
a.
0
b.
15
Correct Answer
c.
20
d.
10
No explanation saved for this question yet.
Q9mcq
Four people P, Q, R, and S, of different ages, make the following observations. P – I am younger than S. Q – I am neither the youngest nor the oldest. R – P is older than me. Based on these observations, the youngest person is ______.
a.
P
b.
Q
c.
R
Correct Answer
d.
S
No explanation saved for this question yet.
Q10mcq
Circles $C$ 1, $C$ 2, and $C$ 3, with centers $O$ 1, $O$ 2, and $O$ 3, and radii $r$ 1, $r$ 2, and $r$ 3, respectively, touch each other as shown in the following figure. Given $r$ 1 = 2 cm, $r$ 2 = 1 cm and the angle $∠O$ 1 $O$ 3 $O$ 2 is 90°, $r$ 3 = _____ cm.
a.
1 (-3 + $\sqrt{17}$) 2
Correct Answer
b.
1 (3 + $\sqrt{17}$) 2
c.
1 (-2 + $\sqrt{17}$) 2
d.
1 (-3 + $2\sqrt{17}$) 2
No explanation saved for this question yet.
🎉 10 Free Sample Solutions Completed
Unlock All 65 Questions & Solutions
Sign up free in seconds to unlock step-by-step AI answers for the remaining 55 questions.
Match the distribution with its corresponding probability density/mass function. Distribution type Probability density/mass function (P) Binomial Distribution exp $ - $, $ >$ 0 (1) f x $= $
$ - $ 2 $$
1 x 1 $()$
2 2 $ $ (Q) Poisson Distribution n x (2) f x $= $ p x 1 $-$ p, x $=$ 0,1, 2,..., n
$$ n $ - () ()$
$$ x $$ (R) Normal Distribution (3) f x $=$ exp $- $,
$() $ x $()$
x ! (S) Exponential Distribution (4) f x $= $ exp $- $ x,
$() ()$
a.
b.
c.
d.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The firing sequence in a drivage is shown. The charge per hole for Sections 1, 2, and 3 are 2.0 kg, 3.0 kg, and 1.0 kg, respectively, and the delay between each section is 25 milliseconds. The maximum charge per delay, in kg, is
a.
8.0
b.
12.0
c.
20.0
d.
28.0
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
In a Slake Durability Index (SDI) test, a rock sample of 500 g undergoes two standard cycles of wetting and drying. The mass of the sample retained after the test is 400 g. The SDI of the sample, in %, is
a.
10
b.
40
c.
20
d.
80
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A 20 m thick orebody is dipping at an angle of 75°. The orebody and host rock are strong. It is proposed to deploy a 150-200 mm diameter drill for production. The suitable stoping method is
a.
block caving
b.
long hole stoping
c.
shrinkage stoping
d.
post and pillar stoping
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
In firedamp explosion, the methane concentration in the stoichiometric methane-air mixture, in % by volume, is Assume the air contains 79 % nitrogen and 21 % oxygen, by volume.
a.
5.4
b.
9.5
c.
10.8
d.
14.8
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A circular curve having radius of curvature 1000 m is set out by connecting two straights with a deflection angle of 60°. The apex distance, in m, is ____________. (rounded off to three decimal places)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The expected time (P days) and standard deviation (Q days) of the different activities (A to F) in a project are indicated in the network diagram as (P, Q). The standard deviation of the project completion time, in days, is __________. (rounded off to one decimal place)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The shaft of a motor rotating at 50 rev s $-$ 1 is uniformly retarded to 20 rev s $-$ 1 in 15 s. The number of complete rotations the shaft makes in the given time is ______________. (answer in integer)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
In an underground mine, an airflow of 30 m 3 s $-$ 1 is delivered through a circular opening having a diameter of 5 m and a length of 500 m. Assuming that there is no change in the surface characteristics, the diameter of the opening, in m, required to double the quantity of airflow at same pressure loss is ______________. (rounded off to two decimal places)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
In an underground mine atmosphere, the alcohol of a Kata thermometer took 60 s to fall from 38 °C to 35 °C. The Kata factor of the thermometer is 480 milli-calories cm $-$ 2. The Kata cooling power, in W m $-$ 2, is _____________. (rounded off to one decimal place)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A belt is wrapped around a pulley as shown. The coefficient of friction between the belt and pulley is 0.3. If there is no slippage between the belt and pulley, the angle of wrap $(θ),$ in degrees, is ______________. (rounded off to two decimal places)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Given the data in the following Table, Newton’s divided difference interpolation polynomial is
y $=$ b $+$ b x $-$ 2 $+$ b x $-$ 2 x $-$ 2.5.
0 1 2
$() ()()$ If the values of b and b are 3 and 1, respectively, then the value of b 2 is
0 1
a.
2
b.
3
c.
4
d.
5
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
In an underground coal mine, the air quantities Q A and Q B passes through ventilation districts A and B, respectively as shown, with a pressure drop of $$ P across them. The air quantity in district B is to be increased to $Q$ B by installing a booster fan, as shown, without affecting the air quantity in ventilation district A. The capacity of booster fan P can be expressed as
$()$
B
a.
b.
c.
d.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Match the shaft sinking method with its applicability.
Shaft sinking method Applicability
(P) Piling system and loose soil, and drum sinks
(1) Strata consisting of alternate strong
down by its own weight
(Q) Caisson method
(2) Sinking through the loose ground
near the surface
(R) Cementation
(3) Heavily watery strata, including
quick sand
(S) Freezing
(4) Fissured water bearing
without running sand
a.
b.
c.
d.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A shovel needs to be selected from four models of different capacities, S1 to S4, for loading of dumpers. The operational data for the shovel-dumper combination are provided. The mean arrival rate of the dumpers at the loading point is 5 per hour and the waiting cost of dumper is ₹ 200 per hour. The inter-arrival time of dumpers and loading time of shovel follows exponential distribution. Ignoring the shovel hiring cost, the shovel type that will have minimum total cost (waiting and operating cost) is
Model Operating cost of shovel Mean loading rate of shovel
(₹ per hour) (number of dumpers per hour)
a.
S1
b.
S2
c.
S3
d.
S4
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The in-situ stresses are determined by Flat-jack method by making three slots (P, Q, and R) on the wall (ABCD) of a mine gallery as shown. The in-situ stresses $σ P$, $σ Q$, and $σ R$ are determined at slot-P, slot-Q, and slot-R, respectively. If $σ P$ > $σ Q$, and $σ R$ = 0, the shear stress on the wall is
a.
b.
c.
d.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The observations from a correlation survey are shown. If the coordinates of points C and D are (East: 375 m, North: 1120 m) and (East: 376 m, North: 1121 m), respectively, the whole circle bearing of the line EF is
a.
215°19´59.6´´
b.
35°19´59.6´´
c.
215°20´1.4´´
d.
35°20´1.4´´
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A closed-circuit self-contained breathing apparatus (SCBA) contains 2 liters of O 2 at 200 bar. If a miner consumes O 2 at a rate of 2 liters min $-$ 1, the maximum duration that the apparatus can supply O 2, in min, is ______________. (answer in integer)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The borehole data for resource estimation for an iron ore deposit are shown. The average grade of the deposit, in %, is ______________. (rounded off to two decimal places)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A mine workshop needs to assign 4 jobs to 4 service engineers. The cost for performing a job by an individual service engineer is given. A typical job can be assigned to only one service engineer. If the service engineer S1 cannot perform the job J3, and S3 cannot perform the job J4, the optimal cost for completion of jobs is ______________. (answer in integer)
Job Service
Engineer J1 J2 J3 J4
S1
50
50
---
20
S2
70
40
20
70
S3
90
30
50
---
S4
70
20
60
30
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Using linear regression (least squares), the best-fit line for the given dataset is y $=$ 2.2 x $+$ 2.3. Given the residual sum of squares is 25.8, the coefficient of determination r 2, is ______________. (rounded off to two decimal places)
$()$
x 2 3 4 5
y 8 9 7 16
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A plug dam is to be constructed in a mine gallery of size 3.5 m $\times$ 2.5 m. The interfacial shear strength between the surrounding rock and plug dam is 1.0 MPa. The minimum thickness of the dam, in m, to withstand a water pressure of 10.0 MPa, is ______________. (rounded off to two decimal places)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A shovel costing (P) ₹ 20 crores has a salvage value (S) of ₹ 2 crores with a useful life (n) of 10 years. The annual depreciation is evaluated using declining balance method as given by
$Depreciation rate$ = 1 - $(S/P) 1/n$ The depreciated cost of the shovel, in crores, in its 2 nd year is ₹ ____________. (rounded off to two decimal place)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
An economic block model along with extraction sequence is shown. The numbers given at the centre of the block represent the year of extraction, and that at the corners represent the block economic value in ₹ (lakhs). If the discount rate is 10%, the net present value (NPV), in lakhs, is ₹________. (rounded off to two decimal place)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A main mechanical ventilator installed for an underground mine develops a pressure of 25 mm wg. A natural ventilation pressure (NVP) of 15 mm wg acting in the mine aids the ventilator, and a total 500 m 3 min $-$ 1 of air is circulated in the mine. Considering the same NVP aiding the ventilator, the pressure required, in mm wg, to be generated by the ventilator to circulate 1000 m 3 min $-$ 1 of air, is _____________. (answer in integer)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Dust particles from a blasting operation rise up in the atmosphere to a height of 500 m. The viscosity of air is 1.80 $\times$ 10 $-$ 5 kg m $-$ 1 s $-$ 1. Assume the particles have quiescent settling (no turbulence) in atmosphere. Neglecting air density, the settling time, in days, of a dust particle of 2.5 µm diameter and 3600 kg m $-$ 3 density is ______________. (rounded off to two decimal places)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
In a biochemical oxygen demand (BOD) test, 15 ml of wastewater sample was diluted with distilled water to completely fill a 300 ml BOD bottle and incubated at 20 °C for 5 days. The dissolved oxygen (DO) level before and after incubation are 9.2 mg liter $-$ 1 and 4.4 mg liter $-$ 1, respectively. The BOD of the sample, in mg liter $-$ 1, is ______________. (answer in integer)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A rake of wagons, with inter-wagon gap of 100 cm, is moving at a speed of 0.4 km per hour under a silo loading system. The dimensions of the wagon are 8 m (L) $\times$ 3 m (W) $\times$ 3 m (H). The silo stops discharging the material between the wagons. Considering the fill factor of the wagon as 0.95 and the bulk density of coal as 1.2 tonne per cubic meter, the loading rate of the silo, in tonne per hour, is ______________. (rounded off to nearest integer)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A turbine pump is designed to generate water head of 60 m. The impeller speed of the pump is 2000 rpm and the manometric efficiency is 70%. Neglecting the impeller blade curvature, the impeller diameter of the pump, in cm, is ______________. (rounded off to two decimal places)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The information for a dragline operation is given: Bucket capacity: 20 m 3 Bucket fill factor: 0.9 Digging and filling time: 20 s Swinging (to and fro) time: 32 s Dumping time: 10 s Dragline utilization: 90% The output of the dragline, in m 3 h $-$ 1, is _________. (rounded off to one decimal place)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
In a bench blasting, as shown, 49 kg of explosive is put in each hole. The detonation time of holes, in millisecond, and the associated scale distance (SD) vs. peak particle velocity (PPV) plot for the given blast pattern is shown. The PPV at a distance of 100 m, in mm s $-$ 1, is ___________. (rounded off to two decimal places)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A regular shaped cut and fill stope is shown. Pillars of size 4 m $\times$ 4 m are left at an interval of 13 m along the length of the stope. If the density of the mined ore is 2.5 tonne m $-$ 3, and slices are extracted to the full stope width, the total tonnage of ore recovered from the 1 st slice of the stope is ___________ 10 3.
$$ (rounded off to one decimal place)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A coal seam of 2.4 m thickness is mined with a DERD shearer at a cutting speed of 0.6 km h $-$ 1. The web depth of the cut is 0.5 m. The average cross-sectional area of coal on the AFC during transportation is 0.24 m 2. For the evacuation of cut coal from the face with 10% spillage, the required minimum velocity of the AFC, in m s $-$ 1, is ______________. (rounded off to two decimal places)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A bord and pillar panel has 24 developed pillars of size 40 m $\times$ 40 m (centre to centre) under extraction. The following information is given: Gallery width = 4 m Extraction height = 3 m Extraction ratio during depillaring = 80% Specific gravity of coal = 1.4 Incubation period = 6 months Average working days per month = 25 In order to extract the panel within the incubation period, the minimum rate of production, in tonne per day, is ______________. (rounded off to one decimal place)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Following observations were taken using a Tacheometer with staff held vertical. The additive and multiplying constants of the instrument are 0 and 100, respectively. The reduced level (RL) of the staff station R, in m, is ______________. (rounded off to two decimal places) Instrument Staff Staff reading (m) Vertical Remarks station station angle P Q 1.4, 2.7, 3.9 7° RL of Q = 102 m
R 2.1, 2.8, 3.6 5°
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
coefficient between blocks P and Q is 0.4, and that between block Q and surface is 0.3. The minimum force, F, in kN, required to pull the block Q, is ______________. (answer in integer)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
In a uniaxial compressive strength test, a 120 Ω strain gauge of gauge factor 2.0 is pasted on the rock sample as shown. At the end of the test, the change in resistance of the strain gauge is 0.5 Ω. The longitudinal deformation of the sample, in mm, is ______________. (rounded off to two decimal places)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
