GATE MN topic:mineral-processing PYQs & Answers — Page 24

Questions 231–240 of 650. Imported answers require independent review unless marked reviewed.

In a quality control process of coal supplied to a thermal plant, the 3-sigma control limits for fixed carbon (FC) are defined by 40% ± 15%. The process is termed “out of control” if:

Rule 1: 4 out of 5 successive values of FC are situated at the same side of the mean and at a distance more than 1 standard deviation.

Rule 2: Any one value crosses any of the 3-sigma control limits.

For the following continuous data of FC (%): 49, 51, 56, 20, 46, 48, 47, 49, 45, 41, 42, 40, the process is

Your answerChoose one option.

out of control because of both rules 1 & 2.

out of control because of rule 1 only.

out of control because of rule 2 only.

not out of control.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A tunnel of diameter 8 m is to be driven in a rock mass having quality index, Q of 1.0. Assume the excavation support ratio (ESR) of the tunnel is 1.0. The support requirement of the tunnel wall using fibre reinforced shotcrete (based on the chart prepared by Grimstad and Barton, 1993) is

Diagram for Mining Engineering question 37

Your answerChoose one option.

Shotcrete of thickness 9-12 cm, bolt length of 2.7-2.8 m

Shotcrete of thickness 9-12 cm, bolt length of 3.0-3.2 m

Shotcrete of thickness 5-9 cm, bolt length of 2.7-2.8 m

Shotcrete of thickness 5-9 cm, bolt length of 2.5-2.6 m

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Match the following devices with their intended applications.

Device	Application
(P) Ground Penetrating Radar	(1) Spatial positioning of a point
(Q) Tactile Sensor	(2) Measurement of a borehole deviation
(R) Global Navigation Satellite System	(3) Robotic Arm
(S) Digital Inclinometer	(4) Locating subsurface features

Your answerChoose one option.

P→1; Q→2; R→3; S→4

P→4; Q→3; R→1; S→2

P→3; Q→4; R→2; S→1

P→4; Q→3; R→2; S→1

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The evaluation of the integral

yields

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Given the function

For all the real values of x, which one of the following statements is CORRECT ?

Your answerChoose one option.

The function is continuous and not differentiable at one point.

The function is continuous but not differentiable at two points.

The function is discontinuous.

The function is continuous and differentiable.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The slope and intercept values of three linear equations are

Equation no.	Slope	Intercept
1	2.0	3.0
2	4.0	5.0
3	6.0	2.0

The above system of equations has

Your answerChoose one option.

Trivial solution.

A single solution.

Multiple solutions.

No Solution.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A regression line is constructed between shovel production rate and shovel swing angle for 50 observations as shown below.

	Estimated parameter	Standard error
Intercept	29.6	13.45
Slope	2.5	1.32

t-values corresponding to level of significance (P) and degree of freedom (DF)

DF	one-tail 0.1	0.05	0.025	0.01	0.005	0.001	0.0005
30	1.31	1.697	2.042	2.457	2.75	3.385	3.646
60	1.296	1.671	2	2.39	2.66	3.232	3.46

If residuals are normally distributed and significance tests of the parameters are conducted at 0.05 significance level, the true statement is ____

Your answerChoose one option.

Both intercept and slope are significant.

Intercept is significant but slope is not significant.

Intercept is not significant but slope is significant.

Both intercept and slope are not significant.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A duct of diameter 0.60 m with an exhausting fan has −97.5 mm wg static pressure behind the fan when the air flow rate is 4.0 m³/s. If an evase with inlet to outlet area ratio of 1:4 and efficiency 60% is attached to the outlet of the fan, the static pressure of the fan in mm of wg becomes

Your answerChoose one option.

−104.26

−99.13

−90.73

−80.6

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Coordinate of two points A and B are (E 0 m, N 200 m) and (E 300 m, N 200 m), respectively. The bearing of two lines AO and BO are 67° and 35°, respectively. The easting of the point O, in m, is _____.

[rounded off to 2 decimal places]

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Data related to a surface miner operation are given below - Drum width (m) = 3.0 Average cutting depth (cm) = 20 Average cutting speed (m/min) = 25 Length of pit (m) = 500 Turning time (min) = 2 Truck exchange time (s) = 30 Truck capacity (m³) = 15

Considering in situ volume, the production rate of the surface miner in m³/hr, is _____.

[rounded off to 1 decimal place]

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE MN topic:mineral-processing PYQs

Question 36

Question 37

Question 38

Question 39

Question 40

Question 41

Question 42

Question 43

Question 44

Question 45