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Question 1 of 65
1. Question
Which one of the following plots represents the relationship xy = c, where c is a positive constant
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Question 2 of 65
2. Question
F(y) and f(y) are the probability distribution function and density function respectively of continuous variable Y in the interval (0, ∞). Which one of the following is TRUE?
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Question 3 of 65
3. Question
The position vector of a moving particle is given by The acceleration of the particle in the direction of the motion is
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Question 4 of 65
4. Question
The value of
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Question 5 of 65
5. Question
Components of a 2D stress tensor in Cartesian coordinate are σ_{xx} = 5.0 MPa, σ_{yy} = −10.0 MPa, and τ_{xy} = 2.0 MPa. The traction vector in MPa acting on a plane having outward normal is
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Question 6 of 65
6. Question
If only two members form a truss joint and no external load or support reaction is applied to the joint, the members
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Question 7 of 65
7. Question
A multipint borehole extensometer is used to monitor
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Question 8 of 65
8. Question
The failure load of a point load test specimen having diameter 45 mm is 6000 N. The uncorrected point load index in MPa is ______
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NAT Type Question

Question 9 of 65
9. Question
The beam shown in the figure is hinged at one end and rested on a roller at the other end. The free body diagram of the system is
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Question 10 of 65
10. Question
Mineral A and B are produced from a deposit. Mineral A and B will be called coproducts if
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Question 11 of 65
11. Question
Semivariogam modeling is used for reserve estimation of mineral deposit by
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Question 12 of 65
12. Question
Which one of the following does NOT belong to the direct operating cost of mine?
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Question 13 of 65
13. Question
Lane’s algorithm is applied to determine
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Question 14 of 65
14. Question
In an underground coal mine a driller, wearing personal protective equipment, was going to workplace along the travelling roadway. A piece of rock fell down from the roof and hit the person on head causing serious injury. The cause of accident is
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Question 15 of 65
15. Question
In a PERT network, the “time estimates” of an activity are the following: Optimistic time – 2 days, Most likely time – 4 days, and Pessimistic time – 12 days. The expected time and standard deviation of the activity in days are respectively
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Question 16 of 65
16. Question
The magnetic bearing of a line is 65°30ʹ. If the declination is 4°30ʹW, the true bearing of the line in degrees is _____
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NAT Type Question

Question 17 of 65
17. Question
A vertical photograph of a 40 m high hill is taken from 4.4 km height. If the focal length of the camera is 15 cm, the scale of the photograph is _____
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Question 18 of 65
18. Question
The operating conditions of a rotary rock drill are: applied thrust: 6.75 kN, revolution : 180 rpm, and penetration rate : 0.15 m/min. The work done per revolution in Nm is _____
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NAT Type Question

Question 19 of 65
19. Question
The Absolute amount of energy and density of a booster and ANFO are given below.
The Relative bulk strength of booster is _______
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NAT Type Question

Question 20 of 65
20. Question
A deeply seated ore body dips at 70° having an average width of 60 m, The ore body, hanging wall, and footwall are competent. The suitable stoping method for this ore body is
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Question 21 of 65
21. Question
The results of the crossing point temperature experiments for coal A and B are shown in the figure.
The correct interpretation of the plot is that
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Question 22 of 65
22. Question
The “yellow boy” formed due to acid mine drainage mainly consists of
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Question 23 of 65
23. Question
A double ended ranging drum shearer is employed in a longwall mine of face length 150 m. The mining height is 3.5 m and depth of the web cut is 0.76 m. The cycle time for unidirectional cutting is 40 min. Considering bulk density of the coal to be 1.4 t/m^{3}, hourly production from the face in tonne is ______
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NAT Type Question

Question 24 of 65
24. Question
The strength of a stranded wire rope is proportional to
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Question 25 of 65
25. Question
A 20 m thick and 30 m wide confined aquifer has two monitoring wells spaced 500 m apart along the direction of groundwater flow. The difference in water level between the wells is 2 m. The hydraulic conductivity is 50 m/day. The rate of flow in m^{3}/day is
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Question 26 of 65
26. Question
The y intercept of the tangent of curve y = x^{3} – x^{2} + x – 1 at x = 1 is ____
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NAT Type Question

Question 27 of 65
27. Question
A rectangle has two of its corners on the x axis and the other two on the parabola y = 12 – x^{2}. The largest area of the rectangle is ______
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NAT Type Question

Question 28 of 65
28. Question
The area of crosssection (x) of four rock samples and the respective applied loads (y) at failure under uniaxial loading are given below :
If the best fit line y = 4.88 x represents the above data, the coefficient of determination (R^{2}) of the best fit line is _____
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NAT Type Question

Question 29 of 65
29. Question
The following reading refer to a reciprocal leveling at staff stations A and B respectively:
The reduced level (RL) of staff station B in m is ______
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NAT Type Question

Question 30 of 65
30. Question
The areas within the contour lines of a proposed site for an overburden dump are as follows:
The total volume of overburden in cubic meter that could be dumped within the 120 m and 195 m contour levels is _______
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NAT Type Question

Question 31 of 65
31. Question
Total ore mined from a sublevel open stope of a copper deposit is measured to be 100000 tonne. The ore recovery and ore dilution during stoping are 90% and 20% respectively. The in situ Cu grade of the ore in the stope is 0.65%. The selling price of copper is Rs. 400/kg of metal. Ignoring any other metal losses in the downstream process of the ore, the revenue generated by selling the ore in Crores of rupees is ______
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NAT Type Question

Question 32 of 65
32. Question
The block grade model of an ore deposit is shown in the figure below. The relationship between block value per tone (B_{v}) in rupees and the block grade in percentage (x) is given below:
B_{v} = −38500 + 700 × x, for x ≥ 55%
= −300 otherwise
The each square block contains 1000 tonne of material and the overall pit slope angle is 45°, the total value of pit determined by the floating cone algorithm in Lakhs of rupees is _____
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NAT Type Question

Question 33 of 65
33. Question
A mine is being developed by bord and pillar method with a gallery size of 4.8 m × 2.4 m. The mine operates in 3 shifts per day and 6 faces are blasted per shift. The average pull per round of blast is 1.2 m and the bulk density of coal is 1.4 t/m^{3}. If the OMS is 2.5, then the average manpower deployed in the development section per shift is ______
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NAT Type Question

Question 34 of 65
34. Question
Consider the following linear programming problem:
Maximize Z = 6X + 10Y
Subject to X ≤ 4
Y ≤ 6
3X + 2Y ≤ 18
X ≥ 0, Y≥0
The maximum value of the objective function is ______
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NAT Type Question

Question 35 of 65
35. Question
A mining company having three mines A, B and C supplies coal to three power plants P, Q and R located close to the mines. The daily production capacities of the three mines in tonnes are 700, 1200 and 1100 respectively. The daily requirements at the power plants in tones are 1000, 1000, and 1000 respectively. The transportation costs in rupees per tonne is given in the matrix below:
The total cost of coal transportation in rupees from the three mines to three power plants using the leastcost method is ______
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NAT Type Question

Question 36 of 65
36. Question
The seriesparallel configuration of a system, consisting of 6 independent components A, B, C, D, E and F with their individual reliability, is
Shown in the figure :
The reliability of the system is _____
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NAT Type Question

Question 37 of 65
37. Question
500 coal miners were randomly selected from an underground coal mine. It was found that 50 workers experienced an injury in the year 2014. The distribution of injury based on younger age group (age ≤ 40 years) and older age group (age > 40 years) generated the following cross classification table.
The odd of injury for the younger age group compared to the older age group is _______
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NAT Type Question

Question 38 of 65
38. Question
A bord and pillar panel is being planned at a depth of 300 m. The dimension of square pillar is 35 m centretocentre. The average unit weight of the overburden rock is 25 kN/m^{3}. If the strength of the pillar is 14.0 MPa,the gallery width in m for a safety factor of 1.3 is _____
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NAT Type Question

Question 39 of 65
39. Question
A sandstone sample having 15% moisture content and volume of 75 cm^{3} weighs 180 g. If the grain density is 2.6 g/cm^{3}, porosity of the sample in % is _______
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NAT Type Question

Question 40 of 65
40. Question
Let σ_{1} and σ_{3} are major and minor principal stresses respectively. The equation σ_{1} = f(σ_{3}) denotes the failure envelop of a rock as shown in the figure. Match the zones (P, Q, R and S) with the legend code.
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Question 41 of 65
41. Question
A blasted muck of mass m is being lifted from a shaft of diameter d by an arrangement of two pulleys as shown in the figure. Ignoring friction in the pulleys, as the height h decreases, tension in the ropes
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Question 42 of 65
42. Question
The longitudinal section of stope is given in the figure. Match the different labeled stope features (P, Q, R, S and T) with their corresponding nomenclatures.
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Question 43 of 65
43. Question
To break a volume of 30000 cubic meter of overburden per month in an open cast mine, the number of blast hole drills required for the following data is _____
Spacing and burden of blast holes : 6.0 m × 4.0 m
Hours scheduled per shift : 5
Number of shifts per day : 2
Weeks per month : 4
Drilling days per week : 5
Drilling rate : 30.67 m/h
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NAT Type Question

Question 44 of 65
44. Question
Two inclined coal seams with their accesses are shown in the figure. Match the labeled access (P, Q, R, S) with their corresponding names.
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Question 45 of 65
45. Question
Ground reaction curve (GRC) of a tunnel roof under hydrostatic stress field is given b y p_{g} = 10 – 0.75u, where p_{g} is the required support pressure in MPa and u is radial displacement in mm. A uniform support is installed at the boundary of the tunnel providing support reaction (SR) as p_{s} = 1.5 – 3.0, for u ≥ 2 mm. Considering GRC = SR, the support pressure in MPa is _____
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NAT Type Question

Question 46 of 65
46. Question
If the rank of the following matrix is less than 3, the values of x are
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Question 47 of 65
47. Question
The discharge rate of a water pump is 0.25 m^{3}/s. The diameter of the discharge and suction nozzles are 300 and 350 respectively. The measured pressure at the discharge end located 0.25 m above the centerline of the impeller is 150 kN/m^{2} and the pressure at the suction gage located at the centre line of the impeller 20 kN/m^{2}. Specific weight of water is 9810 N/m^{3} The total dynamic head for the above installation in m is ______
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NAT Type Question

Question 48 of 65
48. Question
In a mine, 200 and 250 persons are deployed in t he Panels A and B (shown in figure) respectively in the largest shift. The panel produce 400 and 500 tonne/day respectively. The resistances of panels A and B are 0.3 ns^{2}m^{−8} and 0.4 Ns^{2}m^{−8} respectively and the combined resistance of shaft and trunk airways is 0.5 Ns^{2}m^{−8}. The operating static pressure of the fan in Pa to provide the minimum air quantities in the panels as per CMR 1957 is ____
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NAT Type Question

Question 49 of 65
49. Question
In an auxiliary ventilation system, a fan is installed inside a 100 m long and 600 mm diameter duct to ventilate a blind heading face. The frictional coefficient of the duct is 0.0066 Ns^{2}m^{−}^{4} and the static pressure characteristic of the fan is represented by :
P_{s} = 5Q^{2} – 250Q + 1000
where, P_{s} is in Pa and Q is in m^{3}/s. The quantity of air delivered by the fan in m^{3}/s is _______
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NAT Type Question

Question 50 of 65
50. Question
A stream flowing at 15 m^{3}/s has a tributary feeding into it with a flow rate of 7 m^{3}/s. The concentrations of chloride at the upstream of the junction and that of the tributary are 30 mg/L, and 50 mg/L respectively. Treating chloride as conservative substance and assuming complete mixing of two stream, the concentration of chloride in mg/L at the downstream is ______
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NAT Type Question

Question 51 of 65
51. Question
A sample of mine water has 100 mg/L of Ca^{2+} and 10 mg/L of Mg^{2+}. The equivalent weights of Ca^{2+} and Mg^{2+} are 20 mg/meq and 12.2 mg/meq respectively. The hardness of mine water in unit of mg/L as CaCO_{3} is _______
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NAT Type Question

Question 52 of 65
52. Question
A 1.1 m wide belt conveyor carries materials of bulk density 1.35 t/m^{3} at a speed of 1.75 m/s. The average crosssectional area of material is equal to w^{2}/11, where w is the width of the belt in m. The carrying capacity of the conveyor in t/h is ______
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NAT Type Question

Question 53 of 65
53. Question
In a book of 600 pages, there are 60 typographical errors. Assuming Poisson distribution for the number of errors per page, the probability of no errors ini randomly chosen 4 pages is ______
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NAT Type Question

Question 54 of 65
54. Question
Match the special methods of shaft sinking with rock mass conditions and scope of application.
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Question 55 of 65
55. Question
A wheel of radius 0.5 m rotates under a moment of 2000 Nm as shown in the figure. A block brake is used to stop the wheel. If the coefficient of static friction between the wheel and the block brake is 0.3, the smallest force of P in N required to stop the wheel is _______
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NAT Type Question

Question 56 of 65
56. Question
The bacteria in milk are destroyed when it ____ heated to 80 degree Celsius.
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Question 57 of 65
57. Question
_______ with someone else’s email account is now a very serious offence.
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Question 58 of 65
58. Question
Consider the following sentences:
All benches are beds. No bed is a bulb. Some bulbs are lamps.
Which of the following can be inferred?
i. Some beds are lamps.
ii. Some lamps are beds.
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Question 59 of 65
59. Question
If the radius of a right circular cone is increased by 50%, its volume increases by
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Question 60 of 65
60. Question
The following sequence of numbers is arranged in increasing order: 1, x, x, x, y, y, 9, 16, 18. Given that the mean and median are equal, and are also equal to twice the mode, the value of y is
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Question 61 of 65
61. Question
The old concert hall was demolished because of fears that the foundation would be affected by the construction of the new metro line in the area. Modern technology for underground metro construction tried to mitigate the impact of pressurized air pockets created by the excavation of large amounts of soil. But even with these safeguards, it was feared that the soil below the concert hall would not be stable.
From this, one can infer that
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Question 62 of 65
62. Question
Students applying for hostel rooms are allotted rooms in order of seniority. Students already staying in a room will move if they get a room in their preferred list. .Preferences of lower ranked applicants are ignored during allocation.
Given that data below, which room will Ajit stay in?
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Question 63 of 65
63. Question
The last digit (2171)^{7} + (2172)^{9} + (2173)^{11} + (2174)^{13} is
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Question 64 of 65
64. Question
Two machines M1 and M2 are able to execute any of four jobs P, Q, R and S. The machines can perform one job on one object at a time. Jobs P, Q, R and S take 30 minutes, 20 minutes, 60 minutes and 15 minutes each respectively. There are 10 objects each requiring exactly 1 job. Job P is to be performed on 2 objects, Job Q on 3 objects, Job R on 1 object and Job S on 4 objects. What is the minimum time needed to complete all the jobs?
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Question 65 of 65
65. Question
The bar graph below shows the output of five carpenters over one month, each of whom made different items of furniture: chairs, tables, and beds.
Consider the following statements.
i. The number of beds made by carpenter C2 is exactly the same as the number of tables made by carpenter C3.
ii. The total number of chairs made by all carpenters is less than the total number of tables.
Which one of the following is true?
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