GATE Mining Engineering online test paper 6
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Question 1 of 17
Equations of two planes are z = 4 and z = 4 + 3x . The included angle between the two planes in degrees, isCorrect
Question 2 of 17
The value of x in the simultaneous equations is
3x+y+2z = 3, 2x-3y-z = -3 , x+2y+z = 4Correct
Question 3 of 17
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 isCorrect
Question 4 of 17
Match the following for a typical slurry explosive.
P. Calcium nitrate 1. Cross linking agent
Q. Potassium dichromate 2. Gelling agent
R. TNT 3. Oxidiser
S. Starch 4. FuelCorrect
Question 5 of 17
A 10 m thick coal block is excavated by a contractor at a cost of Rs. 40 per m3 . The excavated area, measured in the mine plan, is found to be 50 cm2 . 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 (read m3 as meter cube and cm2 as cm square)Correct
Question 6 of 17
A ladder placed against a frictionless wall at an inclination of 600with 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 isCorrect
Question 7 of 17
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 (read s2 as sec square)Correct
Question 8 of 17
Match the following:
Haulage unit Safety device
P. Friction winder
Q. Drum winder
R. Direct rope haulage
S. Endless rope haulage
1. Run-away switch
2. Lilly controller
3. Regenerative braking
4. Monkey/back catchCorrect
Question 9 of 17
From an openpit sump, mine water is lifted using a 250 m long straight pipeline laid along a gradient of 340 . 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, isCorrect
Question 10 of 17
With reference to Coward diagram, match the following in the context of explosibility of a mixture of ‘normal air’ and ‘methane’.
(O2 %, CH4 %) Mixture status
P. 20.5, 2.4 1. Impossible mixture
Q. 19.0, 9.5 2. Non-explosive
R. 17.0, 19.0 3. Potentially explosive
S. 20.0, 19.5 4. ExplosiveCorrect
Question 11 of 17
A U-tube manometer is subjected to differential pressure as shown. If specific gravity of kerosene is 0.8, the value of (P1 – P2), in Pa, isCorrect
Question 12 of 17
An air stream having an enthalpy of 100 kJ/kgda, is flowing at 20 kgda/s. It is cooled by water at temperature 10 degreeC circulating in a cooling coil at a flow rate of 10.0 l/s. If the return temperature of water is 20 degreeC , the enthalpy of the cooled air, in kJ/kgda, is ___________. (Specific heat of water: 4.18 kJ kg degreeC ; kgda: kg of dry air).Correct
Question 13 of 17
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, isCorrect
Question 14 of 17
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 isCorrect
Question 15 of 17
Out of the support categories given for an underground coal mine identify the active supportCorrect
Question 16 of 17
Massive sandstone in immediate roof delays the local fall in goaf of a coal mine.Under this condition crushing of the pillars at outbuy side is calledCorrect
Question 17 of 17
The angle in degrees at which a ridge line intersects contours isCorrect