Mining Engineering Gate 2021 Questions with Answer

Ques 40 GATE 2021

Production planning of a small quarry having 3 years of life is shown in the figure. The following information of revenue and cost data are available.

Ques 41 GATE 2021

A triangular distributed load is applied on top of a beam as shown in the figure. The value of maximum bending moment in kN-m is _________. [round off to 2 decimal places]

Ques 42 GATE 2021

For a dumpy level, the bubble tube has sensitivity of 40" for one division. While taking a staff reading at a distance of 60 m, the bubble is out of centre by 2 divisions. The error in staff reading in mm is _______. [round off to one decimal place]

Ques 43 GATE 2021

On an old plan of scale 1:1000, leasehold area of a mine is now measured as 802 cm² using a planimeter. The plan is found to have shrunk, such that the original line of 10 cm is now measured as 9.8 cm on the plan. True lease hold mine area, in m², is _______. [round off to the nearest integer]

Ques 44 GATE 2021

CO is released from a point source on a level ground at a rate of 25 g/s. The average wind speed is 5 m/s. The dispersion coefficients are 150 m and 200 m in horizontal and vertical directions, respectively, at a receiver station located on the ground along the downwind direction. Assuming the plume follows Gaussian dispersion model, the concentration of CO, in μg/m³, at the station is ________.[round off to 2 decimal places]

Ques 45 GATE 2021

Ore is hoisted from 620 m depth using a single skip of 7 tonne pay load. The skip winding system has constant acceleration/deceleration of 1 m/s² and a constant speed of 10 m/s. The skip loading time and unloading time are 120 s and 60 s, respectively. Considering the overall utilization of the skip as 70%, the maximum daily capacity of the winding system, in tonne, is _______. [round off to the nearest integer]

Ques 46 GATE 2021

In an analysis of fragmented blast muck, the mean fragment size is found to be 60 cm with uniformity index of 1.25. Considering Rosin-Ramler equation, the cumulative mass fraction, in percent, to pass the grizzly screen size of 100 cm is _______. [round off to 2 decimal places]

Ques 47 GATE 2021

A single-acting reciprocating ram pump, while running at 120 rpm, delivers water at a rate of 10 litres per second. Considering the ram diameter is 150 mm and stroke length is 300 mm, the volumetric efficiency of the pump, in percent is ______. [round off to one decimal place]

Ques 48 GATE 2021

In a sand stowing arrangement, the slurry has a sand concentration of 35% by volume. The specific gravity of sand grain is 2.6. The concentration of sand by weight, in percent, in the slurry is _________. [round off to one decimal place]

Ques 49 GATE 2021

In a surface mine, third bench from the pit bottom is blasted, as shown in the figure. The width, height and slope angle of each bench are 8 m, 6 m, and 80°, respectively. A fly rock is projected at an angle of 45° with the horizontal with initial velocity, v. If the acceleration due to gravity is 10 m/s² then the minimum velocity (v) in m/s required for the fly rock to reach just beyond toe of the pit slope is _________. [round off to 2 decimal places]

Ques 50 GATE 2021

Injury experience is studied in an underground coal mine with a random sample of 132 workers. The results of the study are tabulated below.

Ques 51 GATE 2021

Rate of fuel consumption f_c (litres per hour) of a truck varies with truck speed x, (kmph) as given below
f_c=20+x²/50
The fuel price is Rs. 70 per litre. Other costs amount to Rs. 500 per hour. If the truck travels 100 km from a coal mine to a thermal plant, the speed of the truck, in kmph, that minimizes the total cost is round off to one decimal place

Ques 52 GATE 2021

A cement company has three factories which transport cement to four distribution centres. The daily production of each factory, the demand at each distribution centre, and the associated transportation cost per tonne from factory to distribution centre are given in the Table.