Mining Engineering
GATE MN format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 131–140 of 348. Imported answers require independent review unless marked reviewed.
Question 37
Open questionMNMCQ2 marksNeeds review
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

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Open questionMNMCQ2 marksNeeds review
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 |
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The evaluation of the integral
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Given the function
For all the real values of x, which one of the following statements is CORRECT ?
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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
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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 ____
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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
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Mr. X speaks ________ Japanese ________ Chinese.
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A sum of money is to be distributed among P, Q, R, and S in the proportion 5 : 2 : 4 : 3, respectively.
If R gets ₹ 1000 more than S, what is the share of Q (in ₹)?
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Open questionGAMCQ1 markNeeds review
A trapezium has vertices marked as P, Q, R and S (in that order anticlockwise). The side PQ is parallel to side SR.
Further, it is given that, PQ = 11 cm, QR = 4 cm, RS = 6 cm and SP = 3 cm.
What is the shortest distance between PQ and SR (in cm)?
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